TSTP Solution File: NUM503+3 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM503+3 : 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 : n026.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 11:51:20 EDT 2022
% Result : Theorem 42.40s 42.68s
% Output : CNFRefutation 79.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 102
% Syntax : Number of formulae : 7923 (2192 unt; 56 typ; 0 def)
% Number of atoms : 164545 (69361 equ; 0 cnn)
% Maximal formula atoms : 22 ( 20 avg)
% Number of connectives : 344919 (56866 ~;70098 |; 870 &;216971 @)
% ( 0 <=>; 114 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 113 ( 113 >; 0 *; 0 +; 0 <<)
% Number of symbols : 59 ( 56 usr; 16 con; 0-3 aty)
% Number of variables : 24423 ( 0 ^24381 !; 42 ?;24423 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
thf(tp_doDivides0,type,
doDivides0: $i > $i > $o ).
thf(tp_iLess0,type,
iLess0: $i > $i > $o ).
thf(tp_isPrime0,type,
isPrime0: $i > $o ).
thf(tp_sK10_W3,type,
sK10_W3: $i > $i > $i > $i ).
thf(tp_sK11_W3,type,
sK11_W3: $i > $i > $i > $i ).
thf(tp_sK12_W3,type,
sK12_W3: $i > $i > $i > $i ).
thf(tp_sK13_W3,type,
sK13_W3: $i > $i > $i > $i ).
thf(tp_sK14_W3,type,
sK14_W3: $i > $i > $i > $i ).
thf(tp_sK15_W3,type,
sK15_W3: $i > $i > $i > $i ).
thf(tp_sK16_W3,type,
sK16_W3: $i > $i > $i > $i ).
thf(tp_sK17_W3,type,
sK17_W3: $i > $i > $i > $i ).
thf(tp_sK18_SY91,type,
sK18_SY91: $i > $i > $i > $i ).
thf(tp_sK19_W3,type,
sK19_W3: $i > $i > $i > $i ).
thf(tp_sK1_W1,type,
sK1_W1: $i > $i ).
thf(tp_sK20_W3,type,
sK20_W3: $i > $i > $i > $i ).
thf(tp_sK21_SY92,type,
sK21_SY92: $i > $i > $i > $i ).
thf(tp_sK22_W3,type,
sK22_W3: $i > $i > $i > $i ).
thf(tp_sK23_W3,type,
sK23_W3: $i > $i > $i > $i ).
thf(tp_sK24_SY93,type,
sK24_SY93: $i > $i > $i > $i ).
thf(tp_sK25_W3,type,
sK25_W3: $i > $i > $i > $i ).
thf(tp_sK26_W3,type,
sK26_W3: $i > $i > $i > $i ).
thf(tp_sK27_W3,type,
sK27_W3: $i > $i > $i > $i ).
thf(tp_sK28_SY94,type,
sK28_SY94: $i > $i > $i > $i ).
thf(tp_sK29_W3,type,
sK29_W3: $i > $i > $i > $i ).
thf(tp_sK2_W0,type,
sK2_W0: $i ).
thf(tp_sK30_SY95,type,
sK30_SY95: $i > $i > $i > $i ).
thf(tp_sK31_W3,type,
sK31_W3: $i > $i > $i > $i ).
thf(tp_sK32_W3,type,
sK32_W3: $i > $i > $i > $i ).
thf(tp_sK33_SY96,type,
sK33_SY96: $i > $i > $i > $i ).
thf(tp_sK34_W3,type,
sK34_W3: $i > $i > $i > $i ).
thf(tp_sK35_W3,type,
sK35_W3: $i > $i > $i > $i ).
thf(tp_sK36_SY97,type,
sK36_SY97: $i > $i > $i > $i ).
thf(tp_sK37_W3,type,
sK37_W3: $i > $i > $i > $i ).
thf(tp_sK38_W3,type,
sK38_W3: $i > $i > $i > $i ).
thf(tp_sK39_W3,type,
sK39_W3: $i > $i > $i > $i ).
thf(tp_sK3_W0,type,
sK3_W0: $i ).
thf(tp_sK40_SY98,type,
sK40_SY98: $i > $i > $i > $i ).
thf(tp_sK4_W0,type,
sK4_W0: $i ).
thf(tp_sK5_W0,type,
sK5_W0: $i ).
thf(tp_sK6_W0,type,
sK6_W0: $i ).
thf(tp_sK7_W0,type,
sK7_W0: $i ).
thf(tp_sK8_W0,type,
sK8_W0: $i ).
thf(tp_sK9_W3,type,
sK9_W3: $i > $i > $i > $i ).
thf(tp_sdtasdt0,type,
sdtasdt0: $i > $i > $i ).
thf(tp_sdtlseqdt0,type,
sdtlseqdt0: $i > $i > $o ).
thf(tp_sdtmndt0,type,
sdtmndt0: $i > $i > $i ).
thf(tp_sdtpldt0,type,
sdtpldt0: $i > $i > $i ).
thf(tp_sdtsldt0,type,
sdtsldt0: $i > $i > $i ).
thf(tp_sz00,type,
sz00: $i ).
thf(tp_sz10,type,
sz10: $i ).
thf(tp_xk,type,
xk: $i ).
thf(tp_xm,type,
xm: $i ).
thf(tp_xn,type,
xn: $i ).
thf(tp_xp,type,
xp: $i ).
thf(tp_xr,type,
xr: $i ).
thf(1,axiom,
! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( W0 != sz00 )
& ( W0 != sz10 ) )
=> ? [W1: $i] :
( ( aNaturalNumber0 @ W1 )
& ( doDivides0 @ W1 @ W0 )
& ( isPrime0 @ W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimDiv) ).
thf(2,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != sz00 )
& ( doDivides0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( aNaturalNumber0 @ W2 )
=> ( ( sdtasdt0 @ W2 @ ( sdtsldt0 @ W1 @ W0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivAsso) ).
thf(3,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( W1 != sz00 ) )
=> ( sdtlseqdt0 @ W0 @ W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
thf(4,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) )
=> ( doDivides0 @ W0 @ W2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).
thf(5,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( doDivides0 @ W0 @ W2 ) )
=> ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivSum) ).
thf(6,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( doDivides0 @ W1 @ W2 ) )
=> ( doDivides0 @ W0 @ W2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
thf(7,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != W1 )
& ( sdtlseqdt0 @ W0 @ W1 ) )
=> ( iLess0 @ W0 @ W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
thf(8,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( iLess0 @ W0 @ W1 )
=> $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
thf(9,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( W0 != sz00 )
=> ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
thf(10,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 = sz00 )
| ( W0 = sz10 )
| ( ( sz10 != W0 )
& ( sdtlseqdt0 @ sz10 @ W0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
thf(11,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( W0 != sz00 )
& ( W1 != W2 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) )
& ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
thf(12,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != W1 )
& ( sdtlseqdt0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( aNaturalNumber0 @ W2 )
=> ( ( ( sdtpldt0 @ W2 @ W0 )
!= ( sdtpldt0 @ W2 @ W1 ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ W2 @ W0 ) @ ( sdtpldt0 @ W2 @ W1 ) )
& ( ( sdtpldt0 @ W0 @ W2 )
!= ( sdtpldt0 @ W1 @ W2 ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ W0 @ W2 ) @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
thf(13,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( ( W1 != W0 )
& ( sdtlseqdt0 @ W1 @ W0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
thf(14,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( sdtlseqdt0 @ W0 @ W2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
thf(15,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
thf(16,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( sdtlseqdt0 @ W0 @ W0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
thf(17,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
= sz00 )
=> ( ( W0 = sz00 )
| ( W1 = sz00 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
thf(18,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtpldt0 @ W0 @ W1 )
= sz00 )
=> ( ( W0 = sz00 )
& ( W1 = sz00 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
thf(19,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 != sz00 )
=> ! [W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W0 @ W2 ) )
| ( ( sdtasdt0 @ W1 @ W0 )
= ( sdtasdt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
thf(20,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W0 @ W2 ) )
| ( ( sdtpldt0 @ W1 @ W0 )
= ( sdtpldt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
thf(21,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
= ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
thf(22,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
thf(23,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
thf(24,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
thf(25,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
thf(26,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
thf(27,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
thf(28,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
thf(29,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
thf(30,axiom,
! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
thf(31,axiom,
( ( aNaturalNumber0 @ sz10 )
& ( sz10 != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
thf(32,axiom,
aNaturalNumber0 @ sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
thf(33,axiom,
! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatSort) ).
thf(34,axiom,
( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xp @ W0 )
= xk ) )
& ( sdtlseqdt0 @ xp @ xk ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2389) ).
thf(35,axiom,
( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xr @ W0 )
= xk ) )
& ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ W0 ) ) )
& ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2362) ).
thf(36,axiom,
( ( aNaturalNumber0 @ xr )
& ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( xk
= ( sdtasdt0 @ xr @ W0 ) ) )
& ( doDivides0 @ xr @ xk )
& ( xr != sz00 )
& ( xr != sz10 )
& ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( ? [W1: $i] :
( ( aNaturalNumber0 @ W1 )
& ( xr
= ( sdtasdt0 @ W0 @ W1 ) ) )
| ( doDivides0 @ W0 @ xr ) ) )
=> ( ( W0 = sz10 )
| ( W0 = xr ) ) )
& ( isPrime0 @ xr ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
thf(37,axiom,
( ( xk != sz00 )
& ( xk != sz10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
thf(38,axiom,
~ ( ( xk = sz00 )
| ( xk = sz10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2315) ).
thf(39,axiom,
( ( aNaturalNumber0 @ xk )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
thf(40,axiom,
( ( xn != xp )
& ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xn @ W0 )
= xp ) )
& ( sdtlseqdt0 @ xn @ xp )
& ( xm != xp )
& ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xm @ W0 )
= xp ) )
& ( sdtlseqdt0 @ xm @ xp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
thf(41,axiom,
~ ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xp @ W0 )
= xm ) )
| ( sdtlseqdt0 @ xp @ xm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
thf(42,axiom,
~ ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xp @ W0 )
= xn ) )
| ( sdtlseqdt0 @ xp @ xn ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
thf(43,axiom,
( ( xp != sz00 )
& ( xp != sz10 )
& ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( ? [W1: $i] :
( ( aNaturalNumber0 @ W1 )
& ( xp
= ( sdtasdt0 @ W0 @ W1 ) ) )
| ( doDivides0 @ W0 @ xp ) ) )
=> ( ( W0 = sz10 )
| ( W0 = xp ) ) )
& ( isPrime0 @ xp )
& ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ W0 ) ) )
& ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
thf(44,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( ( W2 != sz00 )
& ( W2 != sz10 )
& ! [W3: $i] :
( ( ( aNaturalNumber0 @ W3 )
& ? [W4: $i] :
( ( aNaturalNumber0 @ W4 )
& ( W2
= ( sdtasdt0 @ W3 @ W4 ) ) )
& ( doDivides0 @ W3 @ W2 ) )
=> ( ( W3 = sz10 )
| ( W3 = W2 ) ) ) )
| ( isPrime0 @ W2 ) )
& ( ? [W3: $i] :
( ( aNaturalNumber0 @ W3 )
& ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W2 @ W3 ) ) )
| ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
=> ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
=> ( ( ? [W3: $i] :
( ( aNaturalNumber0 @ W3 )
& ( W0
= ( sdtasdt0 @ W2 @ W3 ) ) )
& ( doDivides0 @ W2 @ W0 ) )
| ( ? [W3: $i] :
( ( aNaturalNumber0 @ W3 )
& ( W1
= ( sdtasdt0 @ W2 @ W3 ) ) )
& ( doDivides0 @ W2 @ W1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1799) ).
thf(45,axiom,
( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
thf(46,conjecture,
( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
& ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ W0 )
= ( sdtasdt0 @ xp @ xm ) ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) )
& ( ( sdtasdt0 @ xp @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
& ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ W0 )
= ( sdtasdt0 @ xp @ xk ) ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
thf(47,negated_conjecture,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
& ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ W0 )
= ( sdtasdt0 @ xp @ xm ) ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) )
& ( ( sdtasdt0 @ xp @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
& ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ W0 )
= ( sdtasdt0 @ xp @ xk ) ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[46]) ).
thf(48,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xm ) )
& ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ W0 )
= ( sdtasdt0 @ xp @ xm ) ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) )
& ( ( sdtasdt0 @ xp @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
& ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ W0 )
= ( sdtasdt0 @ xp @ xk ) ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[47]) ).
thf(49,plain,
( ( ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( W0 != sz00 )
& ( W0 != sz10 ) )
=> ? [W1: $i] :
( ( aNaturalNumber0 @ W1 )
& ( doDivides0 @ W1 @ W0 )
& ( isPrime0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(50,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != sz00 )
& ( doDivides0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( aNaturalNumber0 @ W2 )
=> ( ( sdtasdt0 @ W2 @ ( sdtsldt0 @ W1 @ W0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(51,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( W1 != sz00 ) )
=> ( sdtlseqdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(52,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) )
=> ( doDivides0 @ W0 @ W2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(53,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( doDivides0 @ W0 @ W2 ) )
=> ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(54,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( doDivides0 @ W0 @ W1 )
& ( doDivides0 @ W1 @ W2 ) )
=> ( doDivides0 @ W0 @ W2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(55,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != W1 )
& ( sdtlseqdt0 @ W0 @ W1 ) )
=> ( iLess0 @ W0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(56,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( iLess0 @ W0 @ W1 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(57,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( W0 != sz00 )
=> ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(58,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 = sz00 )
| ( W0 = sz10 )
| ( ( sz10 != W0 )
& ( sdtlseqdt0 @ sz10 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(59,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( W0 != sz00 )
& ( W1 != W2 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) )
& ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) )
& ( sdtlseqdt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(60,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( W0 != W1 )
& ( sdtlseqdt0 @ W0 @ W1 ) )
=> ! [W2: $i] :
( ( aNaturalNumber0 @ W2 )
=> ( ( ( sdtpldt0 @ W2 @ W0 )
!= ( sdtpldt0 @ W2 @ W1 ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ W2 @ W0 ) @ ( sdtpldt0 @ W2 @ W1 ) )
& ( ( sdtpldt0 @ W0 @ W2 )
!= ( sdtpldt0 @ W1 @ W2 ) )
& ( sdtlseqdt0 @ ( sdtpldt0 @ W0 @ W2 ) @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(61,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( ( W1 != W0 )
& ( sdtlseqdt0 @ W1 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(62,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( sdtlseqdt0 @ W0 @ W2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(63,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(64,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(65,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
= sz00 )
=> ( ( W0 = sz00 )
| ( W1 = sz00 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(66,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( ( sdtpldt0 @ W0 @ W1 )
= sz00 )
=> ( ( W0 = sz00 )
& ( W1 = sz00 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(67,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 != sz00 )
=> ! [W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W0 @ W2 ) )
| ( ( sdtasdt0 @ W1 @ W0 )
= ( sdtasdt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(68,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W0 @ W2 ) )
| ( ( sdtpldt0 @ W1 @ W0 )
= ( sdtpldt0 @ W2 @ W0 ) ) )
=> ( W1 = W2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(69,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
= ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(70,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(71,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(72,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(73,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(74,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(75,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(76,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(77,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(78,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(79,plain,
( ( ( aNaturalNumber0 @ sz10 )
& ( sz10 != sz00 ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(80,plain,
( ( aNaturalNumber0 @ sz00 )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(81,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> $true ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(82,plain,
( ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xp @ W0 )
= xk ) )
& ( sdtlseqdt0 @ xp @ xk ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(83,plain,
( ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xr @ W0 )
= xk ) )
& ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ W0 ) ) )
& ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(84,plain,
( ( ( aNaturalNumber0 @ xr )
& ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( xk
= ( sdtasdt0 @ xr @ W0 ) ) )
& ( doDivides0 @ xr @ xk )
& ( xr != sz00 )
& ( xr != sz10 )
& ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( ? [W1: $i] :
( ( aNaturalNumber0 @ W1 )
& ( xr
= ( sdtasdt0 @ W0 @ W1 ) ) )
| ( doDivides0 @ W0 @ xr ) ) )
=> ( ( W0 = sz10 )
| ( W0 = xr ) ) )
& ( isPrime0 @ xr ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(85,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(86,plain,
( ( ~ ( ( xk = sz00 )
| ( xk = sz10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(87,plain,
( ( ( aNaturalNumber0 @ xk )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(88,plain,
( ( ( xn != xp )
& ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xn @ W0 )
= xp ) )
& ( sdtlseqdt0 @ xn @ xp )
& ( xm != xp )
& ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xm @ W0 )
= xp ) )
& ( sdtlseqdt0 @ xm @ xp ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(89,plain,
( ( ~ ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xp @ W0 )
= xm ) )
| ( sdtlseqdt0 @ xp @ xm ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(90,plain,
( ( ~ ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xp @ W0 )
= xn ) )
| ( sdtlseqdt0 @ xp @ xn ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(91,plain,
( ( ( xp != sz00 )
& ( xp != sz10 )
& ! [W0: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( ? [W1: $i] :
( ( aNaturalNumber0 @ W1 )
& ( xp
= ( sdtasdt0 @ W0 @ W1 ) ) )
| ( doDivides0 @ W0 @ xp ) ) )
=> ( ( W0 = sz10 )
| ( W0 = xp ) ) )
& ( isPrime0 @ xp )
& ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ W0 ) ) )
& ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(92,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 )
& ( aNaturalNumber0 @ W2 ) )
=> ( ( ( ( ( W2 != sz00 )
& ( W2 != sz10 )
& ! [W3: $i] :
( ( ( aNaturalNumber0 @ W3 )
& ? [W4: $i] :
( ( aNaturalNumber0 @ W4 )
& ( W2
= ( sdtasdt0 @ W3 @ W4 ) ) )
& ( doDivides0 @ W3 @ W2 ) )
=> ( ( W3 = sz10 )
| ( W3 = W2 ) ) ) )
| ( isPrime0 @ W2 ) )
& ( ? [W3: $i] :
( ( aNaturalNumber0 @ W3 )
& ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W2 @ W3 ) ) )
| ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
=> ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
=> ( ( ? [W3: $i] :
( ( aNaturalNumber0 @ W3 )
& ( W0
= ( sdtasdt0 @ W2 @ W3 ) ) )
& ( doDivides0 @ W2 @ W0 ) )
| ( ? [W3: $i] :
( ( aNaturalNumber0 @ W3 )
& ( W1
= ( sdtasdt0 @ W2 @ W3 ) ) )
& ( doDivides0 @ W2 @ W1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(93,plain,
( ( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xp ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(94,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xm ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[48]) ).
thf(95,plain,
( ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ W0 )
= ( sdtasdt0 @ xp @ xm ) ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[48]) ).
thf(96,plain,
( ( ( ( sdtasdt0 @ xp @ xm )
!= ( sdtasdt0 @ xp @ xk ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[48]) ).
thf(97,plain,
( ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ W0 )
= ( sdtasdt0 @ xp @ xk ) ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[48]) ).
thf(98,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xm ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[94]) ).
thf(99,plain,
( ( ~ ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ W0 )
= ( sdtasdt0 @ xp @ xm ) ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[95]) ).
thf(100,plain,
( ( ~ ( ( ( sdtasdt0 @ xp @ xm )
!= ( sdtasdt0 @ xp @ xk ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[96]) ).
thf(101,plain,
( ( ~ ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ W0 )
= ( sdtasdt0 @ xp @ xk ) ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[97]) ).
thf(102,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
= $true ),
inference(extcnf_combined,[status(esa)],[98]) ).
thf(103,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ W0 )
!= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[99]) ).
thf(104,plain,
( ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
= $true ),
inference(extcnf_combined,[status(esa)],[100]) ).
thf(105,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ W0 )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[101]) ).
thf(106,plain,
( ( ! [W0: $i] :
( ( W0 = sz10 )
| ( W0 = sz00 )
| ~ ( aNaturalNumber0 @ W0 )
| ( ( aNaturalNumber0 @ ( sK1_W1 @ W0 ) )
& ( doDivides0 @ ( sK1_W1 @ W0 ) @ W0 )
& ( isPrime0 @ ( sK1_W1 @ W0 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(107,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = sz00 )
| ~ ( doDivides0 @ W0 @ W1 )
| ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W2 @ ( sdtsldt0 @ W1 @ W0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(108,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W1 = sz00 )
| ~ ( doDivides0 @ W0 @ W1 )
| ( sdtlseqdt0 @ W0 @ W1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(109,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( doDivides0 @ W0 @ W1 )
| ~ ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
| ( doDivides0 @ W0 @ W2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(110,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( doDivides0 @ W0 @ W1 )
| ~ ( doDivides0 @ W0 @ W2 )
| ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(111,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( doDivides0 @ W0 @ W1 )
| ~ ( doDivides0 @ W1 @ W2 )
| ( doDivides0 @ W0 @ W2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(112,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( iLess0 @ W0 @ W1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(113,plain,
( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 )
| $true )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(114,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = sz00 )
| ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(115,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sz10 != W0 )
| ( W0 = sz00 )
| ( W0 = sz10 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sdtlseqdt0 @ sz10 @ W0 )
| ( W0 = sz00 )
| ( W0 = sz10 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(116,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(117,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W0 @ W2 )
!= ( sdtpldt0 @ W1 @ W2 ) ) )
& ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W2 @ W0 )
!= ( sdtpldt0 @ W2 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ W2 @ W0 ) @ ( sdtpldt0 @ W2 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ W0 @ W2 ) @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(118,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W1 != W0 )
| ( sdtlseqdt0 @ W0 @ W1 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( sdtlseqdt0 @ W1 @ W0 )
| ( sdtlseqdt0 @ W0 @ W1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(119,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ W0 @ W2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(120,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W0 )
| ( W0 = W1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(121,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(122,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(123,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
!= sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(124,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0 = sz00 )
| ( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) )
| ( W1 = W2 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) )
| ( W1 = W2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(125,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W0 @ W1 )
!= ( sdtpldt0 @ W0 @ W2 ) )
| ( W1 = W2 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W1 @ W0 )
!= ( sdtpldt0 @ W2 @ W0 ) )
| ( W1 = W2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(126,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
= ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(127,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(128,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz10 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(129,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(130,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(131,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtpldt0 @ W0 @ sz00 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(132,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(133,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(134,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(135,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(136,plain,
( ( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(137,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(138,plain,
( ( ( ( sdtpldt0 @ xp @ sK2_W0 )
= xk )
& ( aNaturalNumber0 @ sK2_W0 )
& ( sdtlseqdt0 @ xp @ xk ) )
= $true ),
inference(extcnf_combined,[status(esa)],[82]) ).
thf(139,plain,
( ( ( ( sdtpldt0 @ xr @ sK4_W0 )
= xk )
& ( aNaturalNumber0 @ sK4_W0 )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sK3_W0 ) )
& ( aNaturalNumber0 @ sK3_W0 )
& ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(140,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
( ( xr
!= ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( aNaturalNumber0 @ W1 ) )
| ( W0 = sz10 )
| ( W0 = xr ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( doDivides0 @ W0 @ xr )
| ( W0 = sz10 )
| ( W0 = xr ) )
& ( xr != sz10 )
& ( xr != sz00 )
& ( xk
= ( sdtasdt0 @ xr @ sK5_W0 ) )
& ( aNaturalNumber0 @ sK5_W0 )
& ( aNaturalNumber0 @ xr )
& ( doDivides0 @ xr @ xk )
& ( isPrime0 @ xr ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(141,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(142,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(143,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ xk )
& ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(144,plain,
( ( ( xm != xp )
& ( xn != xp )
& ( ( sdtpldt0 @ xn @ sK7_W0 )
= xp )
& ( aNaturalNumber0 @ sK7_W0 )
& ( sdtlseqdt0 @ xn @ xp )
& ( ( sdtpldt0 @ xm @ sK6_W0 )
= xp )
& ( aNaturalNumber0 @ sK6_W0 )
& ( sdtlseqdt0 @ xm @ xp ) )
= $true ),
inference(extcnf_combined,[status(esa)],[88]) ).
thf(145,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xm )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xm ) )
= $true ),
inference(extcnf_combined,[status(esa)],[89]) ).
thf(146,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xn )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xn ) )
= $true ),
inference(extcnf_combined,[status(esa)],[90]) ).
thf(147,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
( ( xp
!= ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( aNaturalNumber0 @ W1 ) )
| ( W0 = sz10 )
| ( W0 = xp ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( doDivides0 @ W0 @ xp )
| ( W0 = sz10 )
| ( W0 = xp ) )
& ( xp != sz00 )
& ( xp != sz10 )
& ( isPrime0 @ xp )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ sK8_W0 ) )
& ( aNaturalNumber0 @ sK8_W0 )
& ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[91]) ).
thf(148,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK39_W3 @ W2 @ W1 @ W0 ) @ ( sK40_SY98 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK40_SY98 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK39_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK39_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK39_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK39_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK38_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK38_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK35_W3 @ W2 @ W1 @ W0 ) @ ( sK36_SY97 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK36_SY97 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK35_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK35_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK35_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK35_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK34_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK34_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK32_W3 @ W2 @ W1 @ W0 ) @ ( sK33_SY96 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK33_SY96 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK32_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK32_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK32_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK32_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK31_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK31_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ ( sK30_SY95 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK30_SY95 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK29_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK29_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK27_W3 @ W2 @ W1 @ W0 ) @ ( sK28_SY94 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK28_SY94 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK27_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK27_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK27_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK27_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK26_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK26_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK23_W3 @ W2 @ W1 @ W0 ) @ ( sK24_SY93 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK24_SY93 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK23_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK23_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK23_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK23_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK22_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK22_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK20_W3 @ W2 @ W1 @ W0 ) @ ( sK21_SY92 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK21_SY92 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK20_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK20_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK20_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK20_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK19_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK19_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK17_W3 @ W2 @ W1 @ W0 ) @ ( sK18_SY91 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK18_SY91 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK17_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK17_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK17_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK17_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK16_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK16_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK14_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK14_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK12_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK12_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK10_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK10_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK9_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK9_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[92]) ).
thf(149,plain,
( ( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xp ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(150,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK39_W3 @ W2 @ W1 @ W0 ) @ ( sK40_SY98 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK40_SY98 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK39_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK39_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK39_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK39_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK38_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK38_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK35_W3 @ W2 @ W1 @ W0 ) @ ( sK36_SY97 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK36_SY97 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK35_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK35_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK35_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK35_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK34_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK34_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK32_W3 @ W2 @ W1 @ W0 ) @ ( sK33_SY96 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK33_SY96 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK32_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK32_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK32_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK32_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK31_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK31_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ ( sK30_SY95 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK30_SY95 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK29_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK29_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK27_W3 @ W2 @ W1 @ W0 ) @ ( sK28_SY94 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK28_SY94 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK27_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK27_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK27_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK27_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK26_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK26_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK23_W3 @ W2 @ W1 @ W0 ) @ ( sK24_SY93 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK24_SY93 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK23_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK23_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK23_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK23_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK22_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK22_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK20_W3 @ W2 @ W1 @ W0 ) @ ( sK21_SY92 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK21_SY92 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK20_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK20_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK20_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK20_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK19_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK19_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK17_W3 @ W2 @ W1 @ W0 ) @ ( sK18_SY91 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK18_SY91 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK17_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK17_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK17_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK17_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK16_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK16_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK14_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK14_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK12_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK12_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK10_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK10_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK9_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK9_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(151,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
( ( xp
!= ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( aNaturalNumber0 @ W1 ) )
| ( W0 = sz10 )
| ( W0 = xp ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( doDivides0 @ W0 @ xp )
| ( W0 = sz10 )
| ( W0 = xp ) )
& ( xp != sz00 )
& ( xp != sz10 )
& ( isPrime0 @ xp )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ sK8_W0 ) )
& ( aNaturalNumber0 @ sK8_W0 )
& ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(152,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xn )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xn ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(153,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xm )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xm ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(154,plain,
( ( ( xm != xp )
& ( xn != xp )
& ( ( sdtpldt0 @ xn @ sK7_W0 )
= xp )
& ( aNaturalNumber0 @ sK7_W0 )
& ( sdtlseqdt0 @ xn @ xp )
& ( ( sdtpldt0 @ xm @ sK6_W0 )
= xp )
& ( aNaturalNumber0 @ sK6_W0 )
& ( sdtlseqdt0 @ xm @ xp ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(155,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ xk )
& ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(156,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(157,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(158,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
( ( xr
!= ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( aNaturalNumber0 @ W1 ) )
| ( W0 = sz10 )
| ( W0 = xr ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( doDivides0 @ W0 @ xr )
| ( W0 = sz10 )
| ( W0 = xr ) )
& ( xr != sz10 )
& ( xr != sz00 )
& ( xk
= ( sdtasdt0 @ xr @ sK5_W0 ) )
& ( aNaturalNumber0 @ sK5_W0 )
& ( aNaturalNumber0 @ xr )
& ( doDivides0 @ xr @ xk )
& ( isPrime0 @ xr ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(159,plain,
( ( ( ( sdtpldt0 @ xr @ sK4_W0 )
= xk )
& ( aNaturalNumber0 @ sK4_W0 )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sK3_W0 ) )
& ( aNaturalNumber0 @ sK3_W0 )
& ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(160,plain,
( ( ( ( sdtpldt0 @ xp @ sK2_W0 )
= xk )
& ( aNaturalNumber0 @ sK2_W0 )
& ( sdtlseqdt0 @ xp @ xk ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(161,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(162,plain,
( ( aNaturalNumber0 @ sz00 )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(163,plain,
( ( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(164,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(165,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(166,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(167,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(168,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtpldt0 @ W0 @ sz00 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(169,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(170,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(171,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz10 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(172,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(173,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
= ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(174,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W0 @ W1 )
!= ( sdtpldt0 @ W0 @ W2 ) )
| ( W1 = W2 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W1 @ W0 )
!= ( sdtpldt0 @ W2 @ W0 ) )
| ( W1 = W2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(175,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0 = sz00 )
| ( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) )
| ( W1 = W2 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) )
| ( W1 = W2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(176,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
!= sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(177,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(178,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(179,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W0 )
| ( W0 = W1 ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(180,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(181,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W1 != W0 )
| ( sdtlseqdt0 @ W0 @ W1 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( sdtlseqdt0 @ W1 @ W0 )
| ( sdtlseqdt0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(182,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W0 @ W2 )
!= ( sdtpldt0 @ W1 @ W2 ) ) )
& ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W2 @ W0 )
!= ( sdtpldt0 @ W2 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ W2 @ W0 ) @ ( sdtpldt0 @ W2 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ W0 @ W2 ) @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(183,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(184,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sz10 != W0 )
| ( W0 = sz00 )
| ( W0 = sz10 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sdtlseqdt0 @ sz10 @ W0 )
| ( W0 = sz00 )
| ( W0 = sz10 ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(185,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = sz00 )
| ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(186,plain,
( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 )
| $true )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(187,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( iLess0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(188,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( doDivides0 @ W0 @ W1 )
| ~ ( doDivides0 @ W1 @ W2 )
| ( doDivides0 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(189,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( doDivides0 @ W0 @ W1 )
| ~ ( doDivides0 @ W0 @ W2 )
| ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(190,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( doDivides0 @ W0 @ W1 )
| ~ ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
| ( doDivides0 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(191,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W1 = sz00 )
| ~ ( doDivides0 @ W0 @ W1 )
| ( sdtlseqdt0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(192,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = sz00 )
| ~ ( doDivides0 @ W0 @ W1 )
| ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W2 @ ( sdtsldt0 @ W1 @ W0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(193,plain,
( ( ! [W0: $i] :
( ( W0 = sz10 )
| ( W0 = sz00 )
| ~ ( aNaturalNumber0 @ W0 )
| ( ( aNaturalNumber0 @ ( sK1_W1 @ W0 ) )
& ( doDivides0 @ ( sK1_W1 @ W0 ) @ W0 )
& ( isPrime0 @ ( sK1_W1 @ W0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(194,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xm ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(195,plain,
( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(196,plain,
( ( ~ ( ~ ( ( sz10 != sz00 ) )
| ~ ( aNaturalNumber0 @ sz10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(197,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ SX0 @ ( sdtpldt0 @ SX1 @ SX2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SX0 @ SX1 ) @ ( sdtasdt0 @ SX0 @ SX2 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SX1 @ SX2 ) @ SX0 )
= ( sdtpldt0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ ( sdtasdt0 @ SX2 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(198,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
| ~ ( isPrime0 @ xr ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(199,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(200,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xm @ xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(201,plain,
( ( ~ ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
| ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(202,plain,
( ( ! [SX0: $i] :
( ( SX0 = sz10 )
| ( SX0 = sz00 )
| ~ ( aNaturalNumber0 @ SX0 )
| ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SX0 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SX0 ) @ SX0 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(203,plain,
( ( ~ ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(204,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= ( sdtpldt0 @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX1 @ SX0 )
!= ( sdtpldt0 @ SX2 @ SX0 ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(205,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xm ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(206,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0 = sz00 )
| ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ SX1 @ SX0 )
!= ( sdtasdt0 @ SX2 @ SX0 ) )
| ( SX1 = SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(207,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(208,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(209,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( ( sdtasdt0 @ SX1 @ SX0 )
!= ( sdtasdt0 @ SX2 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX0 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SX0 @ SX1 ) @ ( sdtasdt0 @ SX0 @ SX2 ) ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ ( sdtasdt0 @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(210,plain,
( ( ~ ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(211,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK39_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK40_SY98 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK38_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK37_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK35_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK36_SY97 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK34_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK32_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK33_SY96 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK31_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK30_SY95 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK27_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK28_SY94 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK26_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK25_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK23_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK24_SY93 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK22_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK20_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK21_SY92 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK19_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK17_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK18_SY91 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK16_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK15_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK14_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK12_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK11_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK10_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK9_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(212,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(213,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(214,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(215,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
| ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(216,plain,
( ( ~ ( ~ ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) )
| ~ ( sdtlseqdt0 @ xp @ xk ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(217,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xn ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(218,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(219,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX0 = SX1 )
| ~ ( sdtlseqdt0 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX0 @ SX2 )
!= ( sdtpldt0 @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX2 @ SX0 )
!= ( sdtpldt0 @ SX2 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SX2 @ SX0 ) @ ( sdtpldt0 @ SX2 @ SX1 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SX0 @ SX2 ) @ ( sdtpldt0 @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(220,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(221,plain,
! [SV2: $i] :
( ( ! [SY99: $i] :
( ~ ( aNaturalNumber0 @ SV2 )
| ~ ( aNaturalNumber0 @ SY99 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ SV2 @ SY99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(222,plain,
! [SV3: $i] :
( ( ! [SY100: $i] :
( ~ ( aNaturalNumber0 @ SV3 )
| ~ ( aNaturalNumber0 @ SY100 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ SV3 @ SY100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(223,plain,
! [SV4: $i] :
( ( ! [SY101: $i] :
( ~ ( aNaturalNumber0 @ SV4 )
| ~ ( aNaturalNumber0 @ SY101 )
| ( ( sdtpldt0 @ SV4 @ SY101 )
= ( sdtpldt0 @ SY101 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(224,plain,
! [SV5: $i] :
( ( ! [SY102: $i,SY103: $i] :
( ~ ( aNaturalNumber0 @ SV5 )
| ~ ( aNaturalNumber0 @ SY102 )
| ~ ( aNaturalNumber0 @ SY103 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SY102 ) @ SY103 )
= ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SY102 @ SY103 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(225,plain,
! [SV6: $i] :
( ( ! [SY104: $i] :
( ~ ( aNaturalNumber0 @ SV6 )
| ~ ( aNaturalNumber0 @ SY104 )
| ( ( sdtasdt0 @ SV6 @ SY104 )
= ( sdtasdt0 @ SY104 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(226,plain,
! [SV7: $i] :
( ( ! [SY105: $i,SY106: $i] :
( ~ ( aNaturalNumber0 @ SV7 )
| ~ ( aNaturalNumber0 @ SY105 )
| ~ ( aNaturalNumber0 @ SY106 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SY105 ) @ SY106 )
= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SY105 @ SY106 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(227,plain,
! [SV8: $i] :
( ( ! [SY107: $i] :
( ~ ( aNaturalNumber0 @ SV8 )
| ~ ( aNaturalNumber0 @ SY107 )
| ( ( sdtasdt0 @ SV8 @ SY107 )
!= sz00 )
| ( SV8 = sz00 )
| ( SY107 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(228,plain,
! [SV9: $i] :
( ( ~ ( aNaturalNumber0 @ SV9 )
| ( sdtlseqdt0 @ SV9 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(229,plain,
! [SV10: $i] :
( ( ! [SY108: $i] :
( ~ ( aNaturalNumber0 @ SV10 )
| ~ ( aNaturalNumber0 @ SY108 )
| ~ ( sdtlseqdt0 @ SV10 @ SY108 )
| ~ ( sdtlseqdt0 @ SY108 @ SV10 )
| ( SV10 = SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(230,plain,
! [SV11: $i] :
( ( ! [SY109: $i,SY110: $i] :
( ~ ( aNaturalNumber0 @ SV11 )
| ~ ( aNaturalNumber0 @ SY109 )
| ~ ( aNaturalNumber0 @ SY110 )
| ~ ( sdtlseqdt0 @ SV11 @ SY109 )
| ~ ( sdtlseqdt0 @ SY109 @ SY110 )
| ( sdtlseqdt0 @ SV11 @ SY110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(231,plain,
! [SV12: $i] :
( ( ! [SY111: $i] :
( ~ ( aNaturalNumber0 @ SV12 )
| ~ ( aNaturalNumber0 @ SY111 )
| ( SV12 = sz00 )
| ( sdtlseqdt0 @ SY111 @ ( sdtasdt0 @ SY111 @ SV12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(232,plain,
( ( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(233,plain,
! [SV13: $i] :
( ( ! [SY112: $i] :
( ~ ( aNaturalNumber0 @ SV13 )
| ~ ( aNaturalNumber0 @ SY112 )
| ( SV13 = SY112 )
| ~ ( sdtlseqdt0 @ SV13 @ SY112 )
| ( iLess0 @ SV13 @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(234,plain,
! [SV14: $i] :
( ( ! [SY113: $i,SY114: $i] :
( ~ ( aNaturalNumber0 @ SV14 )
| ~ ( aNaturalNumber0 @ SY113 )
| ~ ( aNaturalNumber0 @ SY114 )
| ~ ( doDivides0 @ SV14 @ SY113 )
| ~ ( doDivides0 @ SY113 @ SY114 )
| ( doDivides0 @ SV14 @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(235,plain,
! [SV15: $i] :
( ( ! [SY115: $i,SY116: $i] :
( ~ ( aNaturalNumber0 @ SV15 )
| ~ ( aNaturalNumber0 @ SY115 )
| ~ ( aNaturalNumber0 @ SY116 )
| ~ ( doDivides0 @ SV15 @ SY115 )
| ~ ( doDivides0 @ SV15 @ SY116 )
| ( doDivides0 @ SV15 @ ( sdtpldt0 @ SY115 @ SY116 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(236,plain,
! [SV16: $i] :
( ( ! [SY117: $i,SY118: $i] :
( ~ ( aNaturalNumber0 @ SV16 )
| ~ ( aNaturalNumber0 @ SY117 )
| ~ ( aNaturalNumber0 @ SY118 )
| ~ ( doDivides0 @ SV16 @ SY117 )
| ~ ( doDivides0 @ SV16 @ ( sdtpldt0 @ SY117 @ SY118 ) )
| ( doDivides0 @ SV16 @ SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(237,plain,
! [SV17: $i] :
( ( ! [SY119: $i] :
( ~ ( aNaturalNumber0 @ SV17 )
| ~ ( aNaturalNumber0 @ SY119 )
| ( SY119 = sz00 )
| ~ ( doDivides0 @ SV17 @ SY119 )
| ( sdtlseqdt0 @ SV17 @ SY119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(238,plain,
! [SV18: $i] :
( ( ! [SY120: $i] :
( ~ ( aNaturalNumber0 @ SV18 )
| ~ ( aNaturalNumber0 @ SY120 )
| ( SV18 = sz00 )
| ~ ( doDivides0 @ SV18 @ SY120 )
| ! [SY121: $i] :
( ~ ( aNaturalNumber0 @ SY121 )
| ( ( sdtasdt0 @ SY121 @ ( sdtsldt0 @ SY120 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY121 @ SY120 ) @ SV18 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(239,plain,
( ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(240,plain,
( ( ~ ( ( sz10 != sz00 ) )
| ~ ( aNaturalNumber0 @ sz10 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(241,plain,
! [SV19: $i] :
( ( ~ ( ~ ! [SY122: $i,SY123: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY122 )
| ~ ( aNaturalNumber0 @ SY123 )
| ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SY122 @ SY123 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SY122 ) @ ( sdtasdt0 @ SV19 @ SY123 ) ) ) )
| ~ ! [SY124: $i,SY125: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY124 )
| ~ ( aNaturalNumber0 @ SY125 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY124 @ SY125 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY124 @ SV19 ) @ ( sdtasdt0 @ SY125 @ SV19 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(242,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
| ~ ( isPrime0 @ xr ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(243,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(244,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xm @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(245,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
| ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(246,plain,
! [SV20: $i] :
( ( ( SV20 = sz10 )
| ( SV20 = sz00 )
| ~ ( aNaturalNumber0 @ SV20 )
| ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV20 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV20 ) @ SV20 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(247,plain,
( ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(248,plain,
! [SV21: $i] :
( ( ~ ( ~ ! [SY126: $i,SY127: $i] :
( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SY126 )
| ~ ( aNaturalNumber0 @ SY127 )
| ( ( sdtpldt0 @ SV21 @ SY126 )
!= ( sdtpldt0 @ SV21 @ SY127 ) )
| ( SY126 = SY127 ) )
| ~ ! [SY128: $i,SY129: $i] :
( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SY128 )
| ~ ( aNaturalNumber0 @ SY129 )
| ( ( sdtpldt0 @ SY128 @ SV21 )
!= ( sdtpldt0 @ SY129 @ SV21 ) )
| ( SY128 = SY129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(249,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xm ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(250,plain,
! [SV22: $i] :
( ( ~ ( aNaturalNumber0 @ SV22 )
| ( SV22 = sz00 )
| ~ ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( aNaturalNumber0 @ SY130 )
| ~ ( aNaturalNumber0 @ SY131 )
| ( ( sdtasdt0 @ SV22 @ SY130 )
!= ( sdtasdt0 @ SV22 @ SY131 ) )
| ( SY130 = SY131 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( aNaturalNumber0 @ SY132 )
| ~ ( aNaturalNumber0 @ SY133 )
| ( ( sdtasdt0 @ SY132 @ SV22 )
!= ( sdtasdt0 @ SY133 @ SV22 ) )
| ( SY132 = SY133 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(251,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(252,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(253,plain,
! [SV23: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY134 )
| ~ ( aNaturalNumber0 @ SY135 )
| ( SV23 = sz00 )
| ( SY134 = SY135 )
| ~ ( sdtlseqdt0 @ SY134 @ SY135 )
| ( ( sdtasdt0 @ SY134 @ SV23 )
!= ( sdtasdt0 @ SY135 @ SV23 ) ) )
| ~ ~ ( ~ ! [SY136: $i,SY137: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY136 )
| ~ ( aNaturalNumber0 @ SY137 )
| ( SV23 = sz00 )
| ( SY136 = SY137 )
| ~ ( sdtlseqdt0 @ SY136 @ SY137 )
| ( ( sdtasdt0 @ SV23 @ SY136 )
!= ( sdtasdt0 @ SV23 @ SY137 ) ) )
| ~ ! [SY138: $i,SY139: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY138 )
| ~ ( aNaturalNumber0 @ SY139 )
| ( SV23 = sz00 )
| ( SY138 = SY139 )
| ~ ( sdtlseqdt0 @ SY138 @ SY139 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SY138 ) @ ( sdtasdt0 @ SV23 @ SY139 ) ) ) ) )
| ~ ! [SY140: $i,SY141: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY140 )
| ~ ( aNaturalNumber0 @ SY141 )
| ( SV23 = sz00 )
| ( SY140 = SY141 )
| ~ ( sdtlseqdt0 @ SY140 @ SY141 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY140 @ SV23 ) @ ( sdtasdt0 @ SY141 @ SV23 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(254,plain,
( ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(255,plain,
! [SV24: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY142: $i,SY143: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY142 )
| ~ ( aNaturalNumber0 @ SY143 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY143
!= ( sdtasdt0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ SY143 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= SY143 ) ) ) )
| ( SY143 = sz00 )
| ( SY143 = sz10 )
| ! [SY144: $i] :
( ( ( sdtasdt0 @ SV24 @ SY142 )
!= ( sdtasdt0 @ SY143 @ SY144 ) )
| ~ ( aNaturalNumber0 @ SY144 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY142 ) @ SY143 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY143 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( ( SY142
!= ( sdtasdt0 @ SY143 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV24 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY146 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ( doDivides0 @ SY146 @ SY145 ) ) )
| ~ ~ ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV24 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY149 @ SV24 )
| ~ ( ( SY148
!= ( sdtasdt0 @ SY149 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) ) )
| ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV24 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV24 )
| ( doDivides0 @ SY152 @ SY151 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ~ ( doDivides0 @ SY155 @ ( sdtasdt0 @ SV24 @ SY154 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY155 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( ( SY154
!= ( sdtasdt0 @ SY155 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) ) )
| ~ ! [SY156: $i,SY157: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY156 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY157
!= ( sdtasdt0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ SY157 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= SY157 ) ) ) )
| ( SY157 = sz00 )
| ( SY157 = sz10 )
| ~ ( doDivides0 @ SY157 @ ( sdtasdt0 @ SV24 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY156 ) @ SY157 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY157 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ( doDivides0 @ SY157 @ SY156 ) ) )
| ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY159
!= ( sdtasdt0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ SY159 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= SY159 ) ) ) )
| ( SY159 = sz00 )
| ( SY159 = sz10 )
| ~ ( doDivides0 @ SY159 @ ( sdtasdt0 @ SV24 @ SY158 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY158 ) @ SY159 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY159 @ SV24 )
| ~ ( ( SY158
!= ( sdtasdt0 @ SY159 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) ) )
| ~ ! [SY160: $i,SY161: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY161
!= ( sdtasdt0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ SY161 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= SY161 ) ) ) )
| ( SY161 = sz00 )
| ( SY161 = sz10 )
| ~ ( doDivides0 @ SY161 @ ( sdtasdt0 @ SV24 @ SY160 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY160 ) @ SY161 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY161 @ SV24 )
| ( doDivides0 @ SY161 @ SY160 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( isPrime0 @ SY163 )
| ! [SY164: $i] :
( ( ( sdtasdt0 @ SV24 @ SY162 )
!= ( sdtasdt0 @ SY163 @ SY164 ) )
| ~ ( aNaturalNumber0 @ SY164 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY162 ) @ SY163 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY163 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( ( SY162
!= ( sdtasdt0 @ SY163 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) ) )
| ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV24 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ( doDivides0 @ SY166 @ SY165 ) ) )
| ~ ~ ( ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV24 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY169 @ SV24 )
| ~ ( ( SY168
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) ) )
| ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV24 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV24 )
| ( doDivides0 @ SY172 @ SY171 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ~ ( doDivides0 @ SY175 @ ( sdtasdt0 @ SV24 @ SY174 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY175 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( ( SY174
!= ( sdtasdt0 @ SY175 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) ) )
| ~ ! [SY176: $i,SY177: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY176 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( isPrime0 @ SY177 )
| ~ ( doDivides0 @ SY177 @ ( sdtasdt0 @ SV24 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY176 ) @ SY177 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY177 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ( doDivides0 @ SY177 @ SY176 ) ) )
| ~ ~ ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( isPrime0 @ SY179 )
| ~ ( doDivides0 @ SY179 @ ( sdtasdt0 @ SV24 @ SY178 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY178 ) @ SY179 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY179 @ SV24 )
| ~ ( ( SY178
!= ( sdtasdt0 @ SY179 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) ) )
| ~ ! [SY180: $i,SY181: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( isPrime0 @ SY181 )
| ~ ( doDivides0 @ SY181 @ ( sdtasdt0 @ SV24 @ SY180 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY180 ) @ SY181 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY181 @ SV24 )
| ( doDivides0 @ SY181 @ SY180 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(256,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(257,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(258,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(259,plain,
( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
| ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(260,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) )
| ~ ( sdtlseqdt0 @ xp @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(261,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xn ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(262,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(263,plain,
! [SV25: $i] :
( ( ! [SY182: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY182 )
| ( SV25 = SY182 )
| ~ ( sdtlseqdt0 @ SV25 @ SY182 )
| ~ ( ~ ~ ( ~ ! [SY183: $i] :
( ~ ( aNaturalNumber0 @ SY183 )
| ( ( sdtpldt0 @ SV25 @ SY183 )
!= ( sdtpldt0 @ SY182 @ SY183 ) ) )
| ~ ~ ( ~ ! [SY184: $i] :
( ~ ( aNaturalNumber0 @ SY184 )
| ( ( sdtpldt0 @ SY184 @ SV25 )
!= ( sdtpldt0 @ SY184 @ SY182 ) ) )
| ~ ! [SY185: $i] :
( ~ ( aNaturalNumber0 @ SY185 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY185 @ SV25 ) @ ( sdtpldt0 @ SY185 @ SY182 ) ) ) ) )
| ~ ! [SY186: $i] :
( ~ ( aNaturalNumber0 @ SY186 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV25 @ SY186 ) @ ( sdtpldt0 @ SY182 @ SY186 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(264,plain,
! [SV26: $i,SV2: $i] :
( ( ~ ( aNaturalNumber0 @ SV2 )
| ~ ( aNaturalNumber0 @ SV26 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ SV2 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(265,plain,
! [SV27: $i,SV3: $i] :
( ( ~ ( aNaturalNumber0 @ SV3 )
| ~ ( aNaturalNumber0 @ SV27 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ SV3 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(266,plain,
! [SV28: $i,SV4: $i] :
( ( ~ ( aNaturalNumber0 @ SV4 )
| ~ ( aNaturalNumber0 @ SV28 )
| ( ( sdtpldt0 @ SV4 @ SV28 )
= ( sdtpldt0 @ SV28 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(267,plain,
! [SV29: $i,SV5: $i] :
( ( ! [SY187: $i] :
( ~ ( aNaturalNumber0 @ SV5 )
| ~ ( aNaturalNumber0 @ SV29 )
| ~ ( aNaturalNumber0 @ SY187 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV29 ) @ SY187 )
= ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV29 @ SY187 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(268,plain,
! [SV30: $i,SV6: $i] :
( ( ~ ( aNaturalNumber0 @ SV6 )
| ~ ( aNaturalNumber0 @ SV30 )
| ( ( sdtasdt0 @ SV6 @ SV30 )
= ( sdtasdt0 @ SV30 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(269,plain,
! [SV31: $i,SV7: $i] :
( ( ! [SY188: $i] :
( ~ ( aNaturalNumber0 @ SV7 )
| ~ ( aNaturalNumber0 @ SV31 )
| ~ ( aNaturalNumber0 @ SY188 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV31 ) @ SY188 )
= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV31 @ SY188 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(270,plain,
! [SV32: $i,SV8: $i] :
( ( ~ ( aNaturalNumber0 @ SV8 )
| ~ ( aNaturalNumber0 @ SV32 )
| ( ( sdtasdt0 @ SV8 @ SV32 )
!= sz00 )
| ( SV8 = sz00 )
| ( SV32 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(271,plain,
! [SV9: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV9 ) )
= $true )
| ( ( sdtlseqdt0 @ SV9 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(272,plain,
! [SV33: $i,SV10: $i] :
( ( ~ ( aNaturalNumber0 @ SV10 )
| ~ ( aNaturalNumber0 @ SV33 )
| ~ ( sdtlseqdt0 @ SV10 @ SV33 )
| ~ ( sdtlseqdt0 @ SV33 @ SV10 )
| ( SV10 = SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(273,plain,
! [SV34: $i,SV11: $i] :
( ( ! [SY189: $i] :
( ~ ( aNaturalNumber0 @ SV11 )
| ~ ( aNaturalNumber0 @ SV34 )
| ~ ( aNaturalNumber0 @ SY189 )
| ~ ( sdtlseqdt0 @ SV11 @ SV34 )
| ~ ( sdtlseqdt0 @ SV34 @ SY189 )
| ( sdtlseqdt0 @ SV11 @ SY189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(274,plain,
! [SV35: $i,SV12: $i] :
( ( ~ ( aNaturalNumber0 @ SV12 )
| ~ ( aNaturalNumber0 @ SV35 )
| ( SV12 = sz00 )
| ( sdtlseqdt0 @ SV35 @ ( sdtasdt0 @ SV35 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(275,plain,
( ( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(276,plain,
! [SV36: $i,SV13: $i] :
( ( ~ ( aNaturalNumber0 @ SV13 )
| ~ ( aNaturalNumber0 @ SV36 )
| ( SV13 = SV36 )
| ~ ( sdtlseqdt0 @ SV13 @ SV36 )
| ( iLess0 @ SV13 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(277,plain,
! [SV37: $i,SV14: $i] :
( ( ! [SY190: $i] :
( ~ ( aNaturalNumber0 @ SV14 )
| ~ ( aNaturalNumber0 @ SV37 )
| ~ ( aNaturalNumber0 @ SY190 )
| ~ ( doDivides0 @ SV14 @ SV37 )
| ~ ( doDivides0 @ SV37 @ SY190 )
| ( doDivides0 @ SV14 @ SY190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(278,plain,
! [SV38: $i,SV15: $i] :
( ( ! [SY191: $i] :
( ~ ( aNaturalNumber0 @ SV15 )
| ~ ( aNaturalNumber0 @ SV38 )
| ~ ( aNaturalNumber0 @ SY191 )
| ~ ( doDivides0 @ SV15 @ SV38 )
| ~ ( doDivides0 @ SV15 @ SY191 )
| ( doDivides0 @ SV15 @ ( sdtpldt0 @ SV38 @ SY191 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(279,plain,
! [SV39: $i,SV16: $i] :
( ( ! [SY192: $i] :
( ~ ( aNaturalNumber0 @ SV16 )
| ~ ( aNaturalNumber0 @ SV39 )
| ~ ( aNaturalNumber0 @ SY192 )
| ~ ( doDivides0 @ SV16 @ SV39 )
| ~ ( doDivides0 @ SV16 @ ( sdtpldt0 @ SV39 @ SY192 ) )
| ( doDivides0 @ SV16 @ SY192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(280,plain,
! [SV40: $i,SV17: $i] :
( ( ~ ( aNaturalNumber0 @ SV17 )
| ~ ( aNaturalNumber0 @ SV40 )
| ( SV40 = sz00 )
| ~ ( doDivides0 @ SV17 @ SV40 )
| ( sdtlseqdt0 @ SV17 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(281,plain,
! [SV41: $i,SV18: $i] :
( ( ~ ( aNaturalNumber0 @ SV18 )
| ~ ( aNaturalNumber0 @ SV41 )
| ( SV18 = sz00 )
| ~ ( doDivides0 @ SV18 @ SV41 )
| ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtasdt0 @ SY193 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY193 @ SV41 ) @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(282,plain,
( ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(283,plain,
( ( ~ ( aNaturalNumber0 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(284,plain,
( ( ~ ( ( sz10 != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(285,plain,
( ( ~ ( aNaturalNumber0 @ sz10 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(286,plain,
! [SV19: $i] :
( ( ~ ! [SY122: $i,SY123: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY122 )
| ~ ( aNaturalNumber0 @ SY123 )
| ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SY122 @ SY123 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SY122 ) @ ( sdtasdt0 @ SV19 @ SY123 ) ) ) )
| ~ ! [SY124: $i,SY125: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY124 )
| ~ ( aNaturalNumber0 @ SY125 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY124 @ SY125 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY124 @ SV19 ) @ ( sdtasdt0 @ SY125 @ SV19 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(287,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(288,plain,
( ( ~ ( isPrime0 @ xr ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(289,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(290,plain,
( ( ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(291,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(292,plain,
( ( ~ ( sdtlseqdt0 @ xm @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(293,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(294,plain,
( ( ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(295,plain,
! [SV20: $i] :
( ( ( ( SV20 = sz10 )
| ( SV20 = sz00 )
| ~ ( aNaturalNumber0 @ SV20 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV20 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV20 ) @ SV20 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV20 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(296,plain,
( ( ~ ( ( xk != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(297,plain,
( ( ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(298,plain,
! [SV21: $i] :
( ( ~ ! [SY126: $i,SY127: $i] :
( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SY126 )
| ~ ( aNaturalNumber0 @ SY127 )
| ( ( sdtpldt0 @ SV21 @ SY126 )
!= ( sdtpldt0 @ SV21 @ SY127 ) )
| ( SY126 = SY127 ) )
| ~ ! [SY128: $i,SY129: $i] :
( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SY128 )
| ~ ( aNaturalNumber0 @ SY129 )
| ( ( sdtpldt0 @ SY128 @ SV21 )
!= ( sdtpldt0 @ SY129 @ SV21 ) )
| ( SY128 = SY129 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(299,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(300,plain,
( ( ~ ~ ( sdtlseqdt0 @ xp @ xm ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(301,plain,
! [SV22: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV22 ) )
= $true )
| ( ( ( SV22 = sz00 )
| ~ ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( aNaturalNumber0 @ SY130 )
| ~ ( aNaturalNumber0 @ SY131 )
| ( ( sdtasdt0 @ SV22 @ SY130 )
!= ( sdtasdt0 @ SV22 @ SY131 ) )
| ( SY130 = SY131 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( aNaturalNumber0 @ SY132 )
| ~ ( aNaturalNumber0 @ SY133 )
| ( ( sdtasdt0 @ SY132 @ SV22 )
!= ( sdtasdt0 @ SY133 @ SV22 ) )
| ( SY132 = SY133 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(302,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(303,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(304,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(305,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(306,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY134 )
| ~ ( aNaturalNumber0 @ SY135 )
| ( SV23 = sz00 )
| ( SY134 = SY135 )
| ~ ( sdtlseqdt0 @ SY134 @ SY135 )
| ( ( sdtasdt0 @ SY134 @ SV23 )
!= ( sdtasdt0 @ SY135 @ SV23 ) ) )
| ~ ~ ( ~ ! [SY136: $i,SY137: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY136 )
| ~ ( aNaturalNumber0 @ SY137 )
| ( SV23 = sz00 )
| ( SY136 = SY137 )
| ~ ( sdtlseqdt0 @ SY136 @ SY137 )
| ( ( sdtasdt0 @ SV23 @ SY136 )
!= ( sdtasdt0 @ SV23 @ SY137 ) ) )
| ~ ! [SY138: $i,SY139: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY138 )
| ~ ( aNaturalNumber0 @ SY139 )
| ( SV23 = sz00 )
| ( SY138 = SY139 )
| ~ ( sdtlseqdt0 @ SY138 @ SY139 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SY138 ) @ ( sdtasdt0 @ SV23 @ SY139 ) ) ) ) )
| ~ ! [SY140: $i,SY141: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY140 )
| ~ ( aNaturalNumber0 @ SY141 )
| ( SV23 = sz00 )
| ( SY140 = SY141 )
| ~ ( sdtlseqdt0 @ SY140 @ SY141 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY140 @ SV23 ) @ ( sdtasdt0 @ SY141 @ SV23 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(307,plain,
( ( ~ ( ( xk != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(308,plain,
( ( ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(309,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY142: $i,SY143: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY142 )
| ~ ( aNaturalNumber0 @ SY143 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY143
!= ( sdtasdt0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ SY143 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= SY143 ) ) ) )
| ( SY143 = sz00 )
| ( SY143 = sz10 )
| ! [SY144: $i] :
( ( ( sdtasdt0 @ SV24 @ SY142 )
!= ( sdtasdt0 @ SY143 @ SY144 ) )
| ~ ( aNaturalNumber0 @ SY144 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY142 ) @ SY143 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY143 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( ( SY142
!= ( sdtasdt0 @ SY143 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV24 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY146 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ( doDivides0 @ SY146 @ SY145 ) ) )
| ~ ~ ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV24 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY149 @ SV24 )
| ~ ( ( SY148
!= ( sdtasdt0 @ SY149 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) ) )
| ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV24 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV24 )
| ( doDivides0 @ SY152 @ SY151 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ~ ( doDivides0 @ SY155 @ ( sdtasdt0 @ SV24 @ SY154 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY155 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( ( SY154
!= ( sdtasdt0 @ SY155 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) ) )
| ~ ! [SY156: $i,SY157: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY156 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY157
!= ( sdtasdt0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ SY157 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= SY157 ) ) ) )
| ( SY157 = sz00 )
| ( SY157 = sz10 )
| ~ ( doDivides0 @ SY157 @ ( sdtasdt0 @ SV24 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY156 ) @ SY157 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY157 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ( doDivides0 @ SY157 @ SY156 ) ) )
| ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY159
!= ( sdtasdt0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ SY159 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= SY159 ) ) ) )
| ( SY159 = sz00 )
| ( SY159 = sz10 )
| ~ ( doDivides0 @ SY159 @ ( sdtasdt0 @ SV24 @ SY158 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY158 ) @ SY159 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY159 @ SV24 )
| ~ ( ( SY158
!= ( sdtasdt0 @ SY159 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) ) )
| ~ ! [SY160: $i,SY161: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY161
!= ( sdtasdt0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ SY161 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= SY161 ) ) ) )
| ( SY161 = sz00 )
| ( SY161 = sz10 )
| ~ ( doDivides0 @ SY161 @ ( sdtasdt0 @ SV24 @ SY160 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY160 ) @ SY161 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY161 @ SV24 )
| ( doDivides0 @ SY161 @ SY160 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( isPrime0 @ SY163 )
| ! [SY164: $i] :
( ( ( sdtasdt0 @ SV24 @ SY162 )
!= ( sdtasdt0 @ SY163 @ SY164 ) )
| ~ ( aNaturalNumber0 @ SY164 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY162 ) @ SY163 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY163 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( ( SY162
!= ( sdtasdt0 @ SY163 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) ) )
| ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV24 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ( doDivides0 @ SY166 @ SY165 ) ) )
| ~ ~ ( ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV24 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY169 @ SV24 )
| ~ ( ( SY168
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) ) )
| ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV24 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV24 )
| ( doDivides0 @ SY172 @ SY171 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ~ ( doDivides0 @ SY175 @ ( sdtasdt0 @ SV24 @ SY174 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY175 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( ( SY174
!= ( sdtasdt0 @ SY175 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) ) )
| ~ ! [SY176: $i,SY177: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY176 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( isPrime0 @ SY177 )
| ~ ( doDivides0 @ SY177 @ ( sdtasdt0 @ SV24 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY176 ) @ SY177 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY177 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ( doDivides0 @ SY177 @ SY176 ) ) )
| ~ ~ ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( isPrime0 @ SY179 )
| ~ ( doDivides0 @ SY179 @ ( sdtasdt0 @ SV24 @ SY178 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY178 ) @ SY179 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY179 @ SV24 )
| ~ ( ( SY178
!= ( sdtasdt0 @ SY179 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) ) )
| ~ ! [SY180: $i,SY181: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( isPrime0 @ SY181 )
| ~ ( doDivides0 @ SY181 @ ( sdtasdt0 @ SV24 @ SY180 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY180 ) @ SY181 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY181 @ SV24 )
| ( doDivides0 @ SY181 @ SY180 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(310,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(311,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(312,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(313,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(314,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(315,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(316,plain,
( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(317,plain,
( ( ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(318,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(319,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(320,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(321,plain,
( ( ~ ~ ( sdtlseqdt0 @ xp @ xn ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(322,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(323,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(324,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV42 )
| ( SV25 = SV42 )
| ~ ( sdtlseqdt0 @ SV25 @ SV42 )
| ~ ( ~ ~ ( ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( ( sdtpldt0 @ SV25 @ SY194 )
!= ( sdtpldt0 @ SV42 @ SY194 ) ) )
| ~ ~ ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) )
| ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) ) )
| ~ ! [SY197: $i] :
( ~ ( aNaturalNumber0 @ SY197 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV25 @ SY197 ) @ ( sdtpldt0 @ SV42 @ SY197 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(325,plain,
! [SV26: $i,SV2: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV2 )
| ~ ( aNaturalNumber0 @ SV26 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV2 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(326,plain,
! [SV27: $i,SV3: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV3 )
| ~ ( aNaturalNumber0 @ SV27 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV3 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(327,plain,
! [SV28: $i,SV4: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV4 )
| ~ ( aNaturalNumber0 @ SV28 ) )
= $true )
| ( ( ( sdtpldt0 @ SV4 @ SV28 )
= ( sdtpldt0 @ SV28 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(328,plain,
! [SV43: $i,SV29: $i,SV5: $i] :
( ( ~ ( aNaturalNumber0 @ SV5 )
| ~ ( aNaturalNumber0 @ SV29 )
| ~ ( aNaturalNumber0 @ SV43 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV29 ) @ SV43 )
= ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV29 @ SV43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(329,plain,
! [SV30: $i,SV6: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV6 )
| ~ ( aNaturalNumber0 @ SV30 ) )
= $true )
| ( ( ( sdtasdt0 @ SV6 @ SV30 )
= ( sdtasdt0 @ SV30 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(330,plain,
! [SV44: $i,SV31: $i,SV7: $i] :
( ( ~ ( aNaturalNumber0 @ SV7 )
| ~ ( aNaturalNumber0 @ SV31 )
| ~ ( aNaturalNumber0 @ SV44 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV31 ) @ SV44 )
= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV31 @ SV44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(331,plain,
! [SV32: $i,SV8: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV8 )
| ~ ( aNaturalNumber0 @ SV32 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV8 @ SV32 )
!= sz00 )
| ( SV8 = sz00 )
| ( SV32 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(332,plain,
! [SV9: $i] :
( ( ( aNaturalNumber0 @ SV9 )
= $false )
| ( ( sdtlseqdt0 @ SV9 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(333,plain,
! [SV33: $i,SV10: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV10 )
| ~ ( aNaturalNumber0 @ SV33 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV10 @ SV33 )
| ~ ( sdtlseqdt0 @ SV33 @ SV10 )
| ( SV10 = SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(334,plain,
! [SV45: $i,SV34: $i,SV11: $i] :
( ( ~ ( aNaturalNumber0 @ SV11 )
| ~ ( aNaturalNumber0 @ SV34 )
| ~ ( aNaturalNumber0 @ SV45 )
| ~ ( sdtlseqdt0 @ SV11 @ SV34 )
| ~ ( sdtlseqdt0 @ SV34 @ SV45 )
| ( sdtlseqdt0 @ SV11 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(335,plain,
! [SV35: $i,SV12: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV12 )
| ~ ( aNaturalNumber0 @ SV35 ) )
= $true )
| ( ( ( SV12 = sz00 )
| ( sdtlseqdt0 @ SV35 @ ( sdtasdt0 @ SV35 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(336,plain,
! [SV46: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV46 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(337,plain,
! [SV36: $i,SV13: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV13 )
| ~ ( aNaturalNumber0 @ SV36 ) )
= $true )
| ( ( ( SV13 = SV36 )
| ~ ( sdtlseqdt0 @ SV13 @ SV36 )
| ( iLess0 @ SV13 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(338,plain,
! [SV47: $i,SV37: $i,SV14: $i] :
( ( ~ ( aNaturalNumber0 @ SV14 )
| ~ ( aNaturalNumber0 @ SV37 )
| ~ ( aNaturalNumber0 @ SV47 )
| ~ ( doDivides0 @ SV14 @ SV37 )
| ~ ( doDivides0 @ SV37 @ SV47 )
| ( doDivides0 @ SV14 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(339,plain,
! [SV48: $i,SV38: $i,SV15: $i] :
( ( ~ ( aNaturalNumber0 @ SV15 )
| ~ ( aNaturalNumber0 @ SV38 )
| ~ ( aNaturalNumber0 @ SV48 )
| ~ ( doDivides0 @ SV15 @ SV38 )
| ~ ( doDivides0 @ SV15 @ SV48 )
| ( doDivides0 @ SV15 @ ( sdtpldt0 @ SV38 @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(340,plain,
! [SV49: $i,SV39: $i,SV16: $i] :
( ( ~ ( aNaturalNumber0 @ SV16 )
| ~ ( aNaturalNumber0 @ SV39 )
| ~ ( aNaturalNumber0 @ SV49 )
| ~ ( doDivides0 @ SV16 @ SV39 )
| ~ ( doDivides0 @ SV16 @ ( sdtpldt0 @ SV39 @ SV49 ) )
| ( doDivides0 @ SV16 @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(341,plain,
! [SV40: $i,SV17: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV17 )
| ~ ( aNaturalNumber0 @ SV40 ) )
= $true )
| ( ( ( SV40 = sz00 )
| ~ ( doDivides0 @ SV17 @ SV40 )
| ( sdtlseqdt0 @ SV17 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(342,plain,
! [SV41: $i,SV18: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV18 )
| ~ ( aNaturalNumber0 @ SV41 ) )
= $true )
| ( ( ( SV18 = sz00 )
| ~ ( doDivides0 @ SV18 @ SV41 )
| ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtasdt0 @ SY193 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY193 @ SV41 ) @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(343,plain,
( ( ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(344,plain,
( ( aNaturalNumber0 @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(345,plain,
( ( ( sz10 != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(346,plain,
( ( aNaturalNumber0 @ sz10 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(347,plain,
! [SV19: $i] :
( ( ~ ! [SY122: $i,SY123: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY122 )
| ~ ( aNaturalNumber0 @ SY123 )
| ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SY122 @ SY123 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SY122 ) @ ( sdtasdt0 @ SV19 @ SY123 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(348,plain,
! [SV19: $i] :
( ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY124 )
| ~ ( aNaturalNumber0 @ SY125 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY124 @ SY125 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY124 @ SV19 ) @ ( sdtasdt0 @ SY125 @ SV19 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(349,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(350,plain,
( ( isPrime0 @ xr )
= $true ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(351,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(352,plain,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(353,plain,
( ( ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(354,plain,
( ( sdtlseqdt0 @ xm @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(355,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(356,plain,
( ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(357,plain,
! [SV20: $i] :
( ( ( SV20 = sz10 )
= $true )
| ( ( ( SV20 = sz00 )
| ~ ( aNaturalNumber0 @ SV20 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV20 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV20 ) @ SV20 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV20 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(358,plain,
( ( ( xk != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(359,plain,
( ( ( xk != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(360,plain,
! [SV21: $i] :
( ( ~ ! [SY126: $i,SY127: $i] :
( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SY126 )
| ~ ( aNaturalNumber0 @ SY127 )
| ( ( sdtpldt0 @ SV21 @ SY126 )
!= ( sdtpldt0 @ SV21 @ SY127 ) )
| ( SY126 = SY127 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(361,plain,
! [SV21: $i] :
( ( ~ ! [SY128: $i,SY129: $i] :
( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SY128 )
| ~ ( aNaturalNumber0 @ SY129 )
| ( ( sdtpldt0 @ SY128 @ SV21 )
!= ( sdtpldt0 @ SY129 @ SV21 ) )
| ( SY128 = SY129 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(362,plain,
( ( ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(363,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(364,plain,
! [SV22: $i] :
( ( ( aNaturalNumber0 @ SV22 )
= $false )
| ( ( ( SV22 = sz00 )
| ~ ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( aNaturalNumber0 @ SY130 )
| ~ ( aNaturalNumber0 @ SY131 )
| ( ( sdtasdt0 @ SV22 @ SY130 )
!= ( sdtasdt0 @ SV22 @ SY131 ) )
| ( SY130 = SY131 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( aNaturalNumber0 @ SY132 )
| ~ ( aNaturalNumber0 @ SY133 )
| ( ( sdtasdt0 @ SY132 @ SV22 )
!= ( sdtasdt0 @ SY133 @ SV22 ) )
| ( SY132 = SY133 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(365,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(366,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(367,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(368,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(369,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY134 )
| ~ ( aNaturalNumber0 @ SY135 )
| ( SV23 = sz00 )
| ( SY134 = SY135 )
| ~ ( sdtlseqdt0 @ SY134 @ SY135 )
| ( ( sdtasdt0 @ SY134 @ SV23 )
!= ( sdtasdt0 @ SY135 @ SV23 ) ) )
| ~ ~ ( ~ ! [SY136: $i,SY137: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY136 )
| ~ ( aNaturalNumber0 @ SY137 )
| ( SV23 = sz00 )
| ( SY136 = SY137 )
| ~ ( sdtlseqdt0 @ SY136 @ SY137 )
| ( ( sdtasdt0 @ SV23 @ SY136 )
!= ( sdtasdt0 @ SV23 @ SY137 ) ) )
| ~ ! [SY138: $i,SY139: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY138 )
| ~ ( aNaturalNumber0 @ SY139 )
| ( SV23 = sz00 )
| ( SY138 = SY139 )
| ~ ( sdtlseqdt0 @ SY138 @ SY139 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SY138 ) @ ( sdtasdt0 @ SV23 @ SY139 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(370,plain,
! [SV23: $i] :
( ( ~ ! [SY140: $i,SY141: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY140 )
| ~ ( aNaturalNumber0 @ SY141 )
| ( SV23 = sz00 )
| ( SY140 = SY141 )
| ~ ( sdtlseqdt0 @ SY140 @ SY141 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY140 @ SV23 ) @ ( sdtasdt0 @ SY141 @ SV23 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(371,plain,
( ( ( xk != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(372,plain,
( ( ( xk != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(373,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY142: $i,SY143: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY142 )
| ~ ( aNaturalNumber0 @ SY143 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY143
!= ( sdtasdt0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ SY143 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= SY143 ) ) ) )
| ( SY143 = sz00 )
| ( SY143 = sz10 )
| ! [SY144: $i] :
( ( ( sdtasdt0 @ SV24 @ SY142 )
!= ( sdtasdt0 @ SY143 @ SY144 ) )
| ~ ( aNaturalNumber0 @ SY144 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY142 ) @ SY143 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY143 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( ( SY142
!= ( sdtasdt0 @ SY143 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV24 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY146 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ( doDivides0 @ SY146 @ SY145 ) ) )
| ~ ~ ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV24 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY149 @ SV24 )
| ~ ( ( SY148
!= ( sdtasdt0 @ SY149 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) ) )
| ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV24 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV24 )
| ( doDivides0 @ SY152 @ SY151 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ~ ( doDivides0 @ SY155 @ ( sdtasdt0 @ SV24 @ SY154 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY155 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( ( SY154
!= ( sdtasdt0 @ SY155 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) ) )
| ~ ! [SY156: $i,SY157: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY156 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY157
!= ( sdtasdt0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ SY157 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= SY157 ) ) ) )
| ( SY157 = sz00 )
| ( SY157 = sz10 )
| ~ ( doDivides0 @ SY157 @ ( sdtasdt0 @ SV24 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY156 ) @ SY157 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY157 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ( doDivides0 @ SY157 @ SY156 ) ) )
| ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY159
!= ( sdtasdt0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ SY159 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= SY159 ) ) ) )
| ( SY159 = sz00 )
| ( SY159 = sz10 )
| ~ ( doDivides0 @ SY159 @ ( sdtasdt0 @ SV24 @ SY158 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY158 ) @ SY159 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY159 @ SV24 )
| ~ ( ( SY158
!= ( sdtasdt0 @ SY159 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) ) )
| ~ ! [SY160: $i,SY161: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY161
!= ( sdtasdt0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ SY161 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= SY161 ) ) ) )
| ( SY161 = sz00 )
| ( SY161 = sz10 )
| ~ ( doDivides0 @ SY161 @ ( sdtasdt0 @ SV24 @ SY160 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY160 ) @ SY161 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY161 @ SV24 )
| ( doDivides0 @ SY161 @ SY160 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(374,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( isPrime0 @ SY163 )
| ! [SY164: $i] :
( ( ( sdtasdt0 @ SV24 @ SY162 )
!= ( sdtasdt0 @ SY163 @ SY164 ) )
| ~ ( aNaturalNumber0 @ SY164 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY162 ) @ SY163 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY163 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( ( SY162
!= ( sdtasdt0 @ SY163 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) ) )
| ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV24 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ( doDivides0 @ SY166 @ SY165 ) ) )
| ~ ~ ( ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV24 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY169 @ SV24 )
| ~ ( ( SY168
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) ) )
| ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV24 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV24 )
| ( doDivides0 @ SY172 @ SY171 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ~ ( doDivides0 @ SY175 @ ( sdtasdt0 @ SV24 @ SY174 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY175 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( ( SY174
!= ( sdtasdt0 @ SY175 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) ) )
| ~ ! [SY176: $i,SY177: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY176 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( isPrime0 @ SY177 )
| ~ ( doDivides0 @ SY177 @ ( sdtasdt0 @ SV24 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY176 ) @ SY177 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY177 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ( doDivides0 @ SY177 @ SY176 ) ) )
| ~ ~ ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( isPrime0 @ SY179 )
| ~ ( doDivides0 @ SY179 @ ( sdtasdt0 @ SV24 @ SY178 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY178 ) @ SY179 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY179 @ SV24 )
| ~ ( ( SY178
!= ( sdtasdt0 @ SY179 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) ) )
| ~ ! [SY180: $i,SY181: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( isPrime0 @ SY181 )
| ~ ( doDivides0 @ SY181 @ ( sdtasdt0 @ SV24 @ SY180 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY180 ) @ SY181 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY181 @ SV24 )
| ( doDivides0 @ SY181 @ SY180 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(375,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(376,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(377,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(378,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(379,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(380,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(381,plain,
( ( ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(382,plain,
( ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(383,plain,
( ( ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(384,plain,
( ( sdtlseqdt0 @ xp @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(385,plain,
( ( ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(386,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xn ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(387,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(388,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(389,plain,
! [SV42: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV42 ) )
= $true )
| ( ( ( SV25 = SV42 )
| ~ ( sdtlseqdt0 @ SV25 @ SV42 )
| ~ ( ~ ~ ( ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( ( sdtpldt0 @ SV25 @ SY194 )
!= ( sdtpldt0 @ SV42 @ SY194 ) ) )
| ~ ~ ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) )
| ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) ) )
| ~ ! [SY197: $i] :
( ~ ( aNaturalNumber0 @ SY197 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV25 @ SY197 ) @ ( sdtpldt0 @ SV42 @ SY197 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(390,plain,
! [SV26: $i,SV2: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV2 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV26 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV2 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(391,plain,
! [SV27: $i,SV3: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV3 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV27 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV3 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(392,plain,
! [SV28: $i,SV4: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV4 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV28 ) )
= $true )
| ( ( ( sdtpldt0 @ SV4 @ SV28 )
= ( sdtpldt0 @ SV28 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(393,plain,
! [SV43: $i,SV29: $i,SV5: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV5 )
| ~ ( aNaturalNumber0 @ SV29 )
| ~ ( aNaturalNumber0 @ SV43 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV29 ) @ SV43 )
= ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV29 @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(394,plain,
! [SV30: $i,SV6: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV6 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV30 ) )
= $true )
| ( ( ( sdtasdt0 @ SV6 @ SV30 )
= ( sdtasdt0 @ SV30 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(395,plain,
! [SV44: $i,SV31: $i,SV7: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV7 )
| ~ ( aNaturalNumber0 @ SV31 )
| ~ ( aNaturalNumber0 @ SV44 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV31 ) @ SV44 )
= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV31 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(396,plain,
! [SV32: $i,SV8: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV8 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV32 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV8 @ SV32 )
!= sz00 )
| ( SV8 = sz00 )
| ( SV32 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(397,plain,
! [SV33: $i,SV10: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV10 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV33 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV10 @ SV33 )
| ~ ( sdtlseqdt0 @ SV33 @ SV10 )
| ( SV10 = SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(398,plain,
! [SV45: $i,SV34: $i,SV11: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV11 )
| ~ ( aNaturalNumber0 @ SV34 )
| ~ ( aNaturalNumber0 @ SV45 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV11 @ SV34 )
| ~ ( sdtlseqdt0 @ SV34 @ SV45 )
| ( sdtlseqdt0 @ SV11 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(399,plain,
! [SV35: $i,SV12: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV12 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV35 ) )
= $true )
| ( ( ( SV12 = sz00 )
| ( sdtlseqdt0 @ SV35 @ ( sdtasdt0 @ SV35 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(400,plain,
! [SV46: $i] :
( ( ( aNaturalNumber0 @ SV46 )
= $false )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(401,plain,
! [SV36: $i,SV13: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV13 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV36 ) )
= $true )
| ( ( ( SV13 = SV36 )
| ~ ( sdtlseqdt0 @ SV13 @ SV36 )
| ( iLess0 @ SV13 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(402,plain,
! [SV47: $i,SV37: $i,SV14: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV14 )
| ~ ( aNaturalNumber0 @ SV37 )
| ~ ( aNaturalNumber0 @ SV47 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV14 @ SV37 )
| ~ ( doDivides0 @ SV37 @ SV47 )
| ( doDivides0 @ SV14 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(403,plain,
! [SV48: $i,SV38: $i,SV15: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV15 )
| ~ ( aNaturalNumber0 @ SV38 )
| ~ ( aNaturalNumber0 @ SV48 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV15 @ SV38 )
| ~ ( doDivides0 @ SV15 @ SV48 )
| ( doDivides0 @ SV15 @ ( sdtpldt0 @ SV38 @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(404,plain,
! [SV49: $i,SV39: $i,SV16: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV16 )
| ~ ( aNaturalNumber0 @ SV39 )
| ~ ( aNaturalNumber0 @ SV49 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV16 @ SV39 )
| ~ ( doDivides0 @ SV16 @ ( sdtpldt0 @ SV39 @ SV49 ) )
| ( doDivides0 @ SV16 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(405,plain,
! [SV40: $i,SV17: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV17 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV40 ) )
= $true )
| ( ( ( SV40 = sz00 )
| ~ ( doDivides0 @ SV17 @ SV40 )
| ( sdtlseqdt0 @ SV17 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(406,plain,
! [SV41: $i,SV18: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV18 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV41 ) )
= $true )
| ( ( ( SV18 = sz00 )
| ~ ( doDivides0 @ SV18 @ SV41 )
| ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtasdt0 @ SY193 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY193 @ SV41 ) @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(407,plain,
( ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(408,plain,
( ( sz10 = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(409,plain,
! [SV19: $i] :
( ( ! [SY122: $i,SY123: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY122 )
| ~ ( aNaturalNumber0 @ SY123 )
| ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SY122 @ SY123 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SY122 ) @ ( sdtasdt0 @ SV19 @ SY123 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(410,plain,
! [SV19: $i] :
( ( ! [SY124: $i,SY125: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY124 )
| ~ ( aNaturalNumber0 @ SY125 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY124 @ SY125 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY124 @ SV19 ) @ ( sdtasdt0 @ SY125 @ SV19 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(411,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(412,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(413,plain,
( ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(414,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(415,plain,
! [SV20: $i] :
( ( ( SV20 = sz00 )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV20 ) )
= $true )
| ( ( SV20 = sz10 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV20 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV20 ) @ SV20 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV20 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(416,plain,
( ( xk = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(417,plain,
( ( xk = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(418,plain,
! [SV21: $i] :
( ( ! [SY126: $i,SY127: $i] :
( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SY126 )
| ~ ( aNaturalNumber0 @ SY127 )
| ( ( sdtpldt0 @ SV21 @ SY126 )
!= ( sdtpldt0 @ SV21 @ SY127 ) )
| ( SY126 = SY127 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(419,plain,
! [SV21: $i] :
( ( ! [SY128: $i,SY129: $i] :
( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SY128 )
| ~ ( aNaturalNumber0 @ SY129 )
| ( ( sdtpldt0 @ SY128 @ SV21 )
!= ( sdtpldt0 @ SY129 @ SV21 ) )
| ( SY128 = SY129 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(420,plain,
! [SV50: $i] :
( ( ( ( sdtpldt0 @ xp @ SV50 )
!= xm )
| ~ ( aNaturalNumber0 @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(421,plain,
( ( sdtlseqdt0 @ xp @ xm )
= $false ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(422,plain,
! [SV22: $i] :
( ( ( SV22 = sz00 )
= $true )
| ( ( ~ ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( aNaturalNumber0 @ SY130 )
| ~ ( aNaturalNumber0 @ SY131 )
| ( ( sdtasdt0 @ SV22 @ SY130 )
!= ( sdtasdt0 @ SV22 @ SY131 ) )
| ( SY130 = SY131 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( aNaturalNumber0 @ SY132 )
| ~ ( aNaturalNumber0 @ SY133 )
| ( ( sdtasdt0 @ SY132 @ SV22 )
!= ( sdtasdt0 @ SY133 @ SV22 ) )
| ( SY132 = SY133 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(423,plain,
! [SV51: $i] :
( ( ~ ( aNaturalNumber0 @ SV51 )
| ( sz10 != SV51 )
| ( SV51 = sz00 )
| ( SV51 = sz10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(424,plain,
! [SV52: $i] :
( ( ~ ( aNaturalNumber0 @ SV52 )
| ( sdtlseqdt0 @ sz10 @ SV52 )
| ( SV52 = sz00 )
| ( SV52 = sz10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(425,plain,
! [SV53: $i] :
( ( ~ ( aNaturalNumber0 @ SV53 )
| ( ( sdtasdt0 @ SV53 @ sz10 )
= SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(426,plain,
! [SV54: $i] :
( ( ~ ( aNaturalNumber0 @ SV54 )
| ( SV54
= ( sdtasdt0 @ sz10 @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(427,plain,
! [SV23: $i] :
( ( ~ ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY134 )
| ~ ( aNaturalNumber0 @ SY135 )
| ( SV23 = sz00 )
| ( SY134 = SY135 )
| ~ ( sdtlseqdt0 @ SY134 @ SY135 )
| ( ( sdtasdt0 @ SY134 @ SV23 )
!= ( sdtasdt0 @ SY135 @ SV23 ) ) )
| ~ ~ ( ~ ! [SY136: $i,SY137: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY136 )
| ~ ( aNaturalNumber0 @ SY137 )
| ( SV23 = sz00 )
| ( SY136 = SY137 )
| ~ ( sdtlseqdt0 @ SY136 @ SY137 )
| ( ( sdtasdt0 @ SV23 @ SY136 )
!= ( sdtasdt0 @ SV23 @ SY137 ) ) )
| ~ ! [SY138: $i,SY139: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY138 )
| ~ ( aNaturalNumber0 @ SY139 )
| ( SV23 = sz00 )
| ( SY138 = SY139 )
| ~ ( sdtlseqdt0 @ SY138 @ SY139 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SY138 ) @ ( sdtasdt0 @ SV23 @ SY139 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(428,plain,
! [SV23: $i] :
( ( ! [SY140: $i,SY141: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY140 )
| ~ ( aNaturalNumber0 @ SY141 )
| ( SV23 = sz00 )
| ( SY140 = SY141 )
| ~ ( sdtlseqdt0 @ SY140 @ SY141 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY140 @ SV23 ) @ ( sdtasdt0 @ SY141 @ SV23 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(429,plain,
( ( xk = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(430,plain,
( ( xk = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(431,plain,
! [SV24: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY142: $i,SY143: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY142 )
| ~ ( aNaturalNumber0 @ SY143 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY143
!= ( sdtasdt0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ SY143 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= SY143 ) ) ) )
| ( SY143 = sz00 )
| ( SY143 = sz10 )
| ! [SY144: $i] :
( ( ( sdtasdt0 @ SV24 @ SY142 )
!= ( sdtasdt0 @ SY143 @ SY144 ) )
| ~ ( aNaturalNumber0 @ SY144 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY142 ) @ SY143 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY143 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( ( SY142
!= ( sdtasdt0 @ SY143 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV24 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY146 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ( doDivides0 @ SY146 @ SY145 ) ) )
| ~ ~ ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV24 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY149 @ SV24 )
| ~ ( ( SY148
!= ( sdtasdt0 @ SY149 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) ) )
| ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV24 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV24 )
| ( doDivides0 @ SY152 @ SY151 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ~ ( doDivides0 @ SY155 @ ( sdtasdt0 @ SV24 @ SY154 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY155 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( ( SY154
!= ( sdtasdt0 @ SY155 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) ) )
| ~ ! [SY156: $i,SY157: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY156 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY157
!= ( sdtasdt0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ SY157 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= SY157 ) ) ) )
| ( SY157 = sz00 )
| ( SY157 = sz10 )
| ~ ( doDivides0 @ SY157 @ ( sdtasdt0 @ SV24 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY156 ) @ SY157 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY157 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ( doDivides0 @ SY157 @ SY156 ) ) )
| ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY159
!= ( sdtasdt0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ SY159 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= SY159 ) ) ) )
| ( SY159 = sz00 )
| ( SY159 = sz10 )
| ~ ( doDivides0 @ SY159 @ ( sdtasdt0 @ SV24 @ SY158 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY158 ) @ SY159 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY159 @ SV24 )
| ~ ( ( SY158
!= ( sdtasdt0 @ SY159 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) ) )
| ~ ! [SY160: $i,SY161: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY161
!= ( sdtasdt0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ SY161 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= SY161 ) ) ) )
| ( SY161 = sz00 )
| ( SY161 = sz10 )
| ~ ( doDivides0 @ SY161 @ ( sdtasdt0 @ SV24 @ SY160 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY160 ) @ SY161 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY161 @ SV24 )
| ( doDivides0 @ SY161 @ SY160 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(432,plain,
! [SV24: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( isPrime0 @ SY163 )
| ! [SY164: $i] :
( ( ( sdtasdt0 @ SV24 @ SY162 )
!= ( sdtasdt0 @ SY163 @ SY164 ) )
| ~ ( aNaturalNumber0 @ SY164 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY162 ) @ SY163 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY163 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( ( SY162
!= ( sdtasdt0 @ SY163 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) ) )
| ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV24 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ( doDivides0 @ SY166 @ SY165 ) ) )
| ~ ~ ( ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV24 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY169 @ SV24 )
| ~ ( ( SY168
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) ) )
| ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV24 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV24 )
| ( doDivides0 @ SY172 @ SY171 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ~ ( doDivides0 @ SY175 @ ( sdtasdt0 @ SV24 @ SY174 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY175 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( ( SY174
!= ( sdtasdt0 @ SY175 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) ) )
| ~ ! [SY176: $i,SY177: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY176 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( isPrime0 @ SY177 )
| ~ ( doDivides0 @ SY177 @ ( sdtasdt0 @ SV24 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY176 ) @ SY177 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY177 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ( doDivides0 @ SY177 @ SY176 ) ) )
| ~ ~ ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( isPrime0 @ SY179 )
| ~ ( doDivides0 @ SY179 @ ( sdtasdt0 @ SV24 @ SY178 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY178 ) @ SY179 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY179 @ SV24 )
| ~ ( ( SY178
!= ( sdtasdt0 @ SY179 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) ) )
| ~ ! [SY180: $i,SY181: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( isPrime0 @ SY181 )
| ~ ( doDivides0 @ SY181 @ ( sdtasdt0 @ SV24 @ SY180 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY180 ) @ SY181 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY181 @ SV24 )
| ( doDivides0 @ SY181 @ SY180 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(433,plain,
! [SV55: $i] :
( ( ~ ( aNaturalNumber0 @ SV55 )
| ( ( sdtasdt0 @ SV55 @ sz00 )
= sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(434,plain,
! [SV56: $i] :
( ( ~ ( aNaturalNumber0 @ SV56 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(435,plain,
! [SV57: $i] :
( ( ! [SY198: $i] :
( ~ ( aNaturalNumber0 @ SV57 )
| ~ ( aNaturalNumber0 @ SY198 )
| ( ( sdtpldt0 @ SV57 @ SY198 )
!= sz00 )
| ( SV57 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(436,plain,
! [SV58: $i] :
( ( ! [SY199: $i] :
( ~ ( aNaturalNumber0 @ SV58 )
| ~ ( aNaturalNumber0 @ SY199 )
| ( ( sdtpldt0 @ SV58 @ SY199 )
!= sz00 )
| ( SY199 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(437,plain,
! [SV59: $i] :
( ( ! [SY200: $i] :
( ~ ( aNaturalNumber0 @ SV59 )
| ~ ( aNaturalNumber0 @ SY200 )
| ( SY200 != SV59 )
| ( sdtlseqdt0 @ SV59 @ SY200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(438,plain,
! [SV60: $i] :
( ( ! [SY201: $i] :
( ~ ( aNaturalNumber0 @ SV60 )
| ~ ( aNaturalNumber0 @ SY201 )
| ( sdtlseqdt0 @ SY201 @ SV60 )
| ( sdtlseqdt0 @ SV60 @ SY201 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(439,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(440,plain,
( ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(441,plain,
! [SV61: $i] :
( ( ( ( sdtpldt0 @ xp @ SV61 )
!= xn )
| ~ ( aNaturalNumber0 @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(442,plain,
( ( sdtlseqdt0 @ xp @ xn )
= $false ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(443,plain,
! [SV62: $i] :
( ( ~ ( aNaturalNumber0 @ SV62 )
| ( ( sdtpldt0 @ SV62 @ sz00 )
= SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(444,plain,
! [SV63: $i] :
( ( ~ ( aNaturalNumber0 @ SV63 )
| ( SV63
= ( sdtpldt0 @ sz00 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(445,plain,
! [SV42: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV42 ) )
= $true )
| ( ( ( SV25 = SV42 )
| ~ ( sdtlseqdt0 @ SV25 @ SV42 )
| ~ ( ~ ~ ( ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( ( sdtpldt0 @ SV25 @ SY194 )
!= ( sdtpldt0 @ SV42 @ SY194 ) ) )
| ~ ~ ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) )
| ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) ) )
| ~ ! [SY197: $i] :
( ~ ( aNaturalNumber0 @ SY197 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV25 @ SY197 ) @ ( sdtpldt0 @ SV42 @ SY197 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(446,plain,
! [SV26: $i,SV2: $i] :
( ( ( aNaturalNumber0 @ SV2 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV26 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV2 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(447,plain,
! [SV27: $i,SV3: $i] :
( ( ( aNaturalNumber0 @ SV3 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV27 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV3 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(448,plain,
! [SV28: $i,SV4: $i] :
( ( ( aNaturalNumber0 @ SV4 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV28 ) )
= $true )
| ( ( ( sdtpldt0 @ SV4 @ SV28 )
= ( sdtpldt0 @ SV28 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(449,plain,
! [SV43: $i,SV29: $i,SV5: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV5 )
| ~ ( aNaturalNumber0 @ SV29 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV43 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV29 ) @ SV43 )
= ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV29 @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(450,plain,
! [SV30: $i,SV6: $i] :
( ( ( aNaturalNumber0 @ SV6 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV30 ) )
= $true )
| ( ( ( sdtasdt0 @ SV6 @ SV30 )
= ( sdtasdt0 @ SV30 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(451,plain,
! [SV44: $i,SV31: $i,SV7: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV7 )
| ~ ( aNaturalNumber0 @ SV31 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV44 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV31 ) @ SV44 )
= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV31 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(452,plain,
! [SV32: $i,SV8: $i] :
( ( ( aNaturalNumber0 @ SV8 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV32 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV8 @ SV32 )
!= sz00 )
| ( SV8 = sz00 )
| ( SV32 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(453,plain,
! [SV33: $i,SV10: $i] :
( ( ( aNaturalNumber0 @ SV10 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV33 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV10 @ SV33 )
| ~ ( sdtlseqdt0 @ SV33 @ SV10 )
| ( SV10 = SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(454,plain,
! [SV45: $i,SV34: $i,SV11: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV11 )
| ~ ( aNaturalNumber0 @ SV34 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV45 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV11 @ SV34 )
| ~ ( sdtlseqdt0 @ SV34 @ SV45 )
| ( sdtlseqdt0 @ SV11 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(455,plain,
! [SV35: $i,SV12: $i] :
( ( ( aNaturalNumber0 @ SV12 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV35 ) )
= $true )
| ( ( ( SV12 = sz00 )
| ( sdtlseqdt0 @ SV35 @ ( sdtasdt0 @ SV35 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(456,plain,
! [SV46: $i,SV64: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV64 ) )
= $true )
| ( ( aNaturalNumber0 @ SV46 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(457,plain,
! [SV36: $i,SV13: $i] :
( ( ( aNaturalNumber0 @ SV13 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV36 ) )
= $true )
| ( ( ( SV13 = SV36 )
| ~ ( sdtlseqdt0 @ SV13 @ SV36 )
| ( iLess0 @ SV13 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(458,plain,
! [SV47: $i,SV37: $i,SV14: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV14 )
| ~ ( aNaturalNumber0 @ SV37 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV47 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV14 @ SV37 )
| ~ ( doDivides0 @ SV37 @ SV47 )
| ( doDivides0 @ SV14 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(459,plain,
! [SV48: $i,SV38: $i,SV15: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV15 )
| ~ ( aNaturalNumber0 @ SV38 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV48 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV15 @ SV38 )
| ~ ( doDivides0 @ SV15 @ SV48 )
| ( doDivides0 @ SV15 @ ( sdtpldt0 @ SV38 @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(460,plain,
! [SV49: $i,SV39: $i,SV16: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV16 )
| ~ ( aNaturalNumber0 @ SV39 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV49 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV16 @ SV39 )
| ~ ( doDivides0 @ SV16 @ ( sdtpldt0 @ SV39 @ SV49 ) )
| ( doDivides0 @ SV16 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(461,plain,
! [SV40: $i,SV17: $i] :
( ( ( aNaturalNumber0 @ SV17 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV40 ) )
= $true )
| ( ( ( SV40 = sz00 )
| ~ ( doDivides0 @ SV17 @ SV40 )
| ( sdtlseqdt0 @ SV17 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(462,plain,
! [SV41: $i,SV18: $i] :
( ( ( aNaturalNumber0 @ SV18 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV41 ) )
= $true )
| ( ( ( SV18 = sz00 )
| ~ ( doDivides0 @ SV18 @ SV41 )
| ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtasdt0 @ SY193 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY193 @ SV41 ) @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(463,plain,
( ( ~ ( aNaturalNumber0 @ xn ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(464,plain,
( ( ~ ( aNaturalNumber0 @ xm ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(465,plain,
! [SV65: $i,SV19: $i] :
( ( ! [SY202: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SV65 )
| ~ ( aNaturalNumber0 @ SY202 )
| ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SV65 @ SY202 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV65 ) @ ( sdtasdt0 @ SV19 @ SY202 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(466,plain,
! [SV66: $i,SV19: $i] :
( ( ! [SY203: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SV66 )
| ~ ( aNaturalNumber0 @ SY203 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV66 @ SY203 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV66 @ SV19 ) @ ( sdtasdt0 @ SY203 @ SV19 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(467,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[411]) ).
thf(468,plain,
( ( ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[411]) ).
thf(469,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(470,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(471,plain,
( ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(472,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(473,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(474,plain,
( ( ~ ( aNaturalNumber0 @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(475,plain,
! [SV20: $i] :
( ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( SV20 = sz00 )
= $true )
| ( ( SV20 = sz10 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV20 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV20 ) @ SV20 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV20 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(476,plain,
! [SV67: $i,SV21: $i] :
( ( ! [SY204: $i] :
( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SV67 )
| ~ ( aNaturalNumber0 @ SY204 )
| ( ( sdtpldt0 @ SV21 @ SV67 )
!= ( sdtpldt0 @ SV21 @ SY204 ) )
| ( SV67 = SY204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(477,plain,
! [SV68: $i,SV21: $i] :
( ( ! [SY205: $i] :
( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SV68 )
| ~ ( aNaturalNumber0 @ SY205 )
| ( ( sdtpldt0 @ SV68 @ SV21 )
!= ( sdtpldt0 @ SY205 @ SV21 ) )
| ( SV68 = SY205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(478,plain,
! [SV50: $i] :
( ( ( ( ( sdtpldt0 @ xp @ SV50 )
!= xm ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(479,plain,
! [SV22: $i] :
( ( ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( aNaturalNumber0 @ SY130 )
| ~ ( aNaturalNumber0 @ SY131 )
| ( ( sdtasdt0 @ SV22 @ SY130 )
!= ( sdtasdt0 @ SV22 @ SY131 ) )
| ( SY130 = SY131 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( aNaturalNumber0 @ SY132 )
| ~ ( aNaturalNumber0 @ SY133 )
| ( ( sdtasdt0 @ SY132 @ SV22 )
!= ( sdtasdt0 @ SY133 @ SV22 ) )
| ( SY132 = SY133 ) ) )
= $false )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(480,plain,
! [SV51: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV51 ) )
= $true )
| ( ( ( sz10 != SV51 )
| ( SV51 = sz00 )
| ( SV51 = sz10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(481,plain,
! [SV52: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV52 ) )
= $true )
| ( ( ( sdtlseqdt0 @ sz10 @ SV52 )
| ( SV52 = sz00 )
| ( SV52 = sz10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(482,plain,
! [SV53: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV53 ) )
= $true )
| ( ( ( sdtasdt0 @ SV53 @ sz10 )
= SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(483,plain,
! [SV54: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV54 ) )
= $true )
| ( ( SV54
= ( sdtasdt0 @ sz10 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(484,plain,
! [SV23: $i] :
( ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY134 )
| ~ ( aNaturalNumber0 @ SY135 )
| ( SV23 = sz00 )
| ( SY134 = SY135 )
| ~ ( sdtlseqdt0 @ SY134 @ SY135 )
| ( ( sdtasdt0 @ SY134 @ SV23 )
!= ( sdtasdt0 @ SY135 @ SV23 ) ) )
| ~ ~ ( ~ ! [SY136: $i,SY137: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY136 )
| ~ ( aNaturalNumber0 @ SY137 )
| ( SV23 = sz00 )
| ( SY136 = SY137 )
| ~ ( sdtlseqdt0 @ SY136 @ SY137 )
| ( ( sdtasdt0 @ SV23 @ SY136 )
!= ( sdtasdt0 @ SV23 @ SY137 ) ) )
| ~ ! [SY138: $i,SY139: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY138 )
| ~ ( aNaturalNumber0 @ SY139 )
| ( SV23 = sz00 )
| ( SY138 = SY139 )
| ~ ( sdtlseqdt0 @ SY138 @ SY139 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SY138 ) @ ( sdtasdt0 @ SV23 @ SY139 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(485,plain,
! [SV69: $i,SV23: $i] :
( ( ! [SY206: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV69 )
| ~ ( aNaturalNumber0 @ SY206 )
| ( SV23 = sz00 )
| ( SV69 = SY206 )
| ~ ( sdtlseqdt0 @ SV69 @ SY206 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV69 @ SV23 ) @ ( sdtasdt0 @ SY206 @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(486,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY142: $i,SY143: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY142 )
| ~ ( aNaturalNumber0 @ SY143 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY143
!= ( sdtasdt0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ SY143 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= SY143 ) ) ) )
| ( SY143 = sz00 )
| ( SY143 = sz10 )
| ! [SY144: $i] :
( ( ( sdtasdt0 @ SV24 @ SY142 )
!= ( sdtasdt0 @ SY143 @ SY144 ) )
| ~ ( aNaturalNumber0 @ SY144 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY142 ) @ SY143 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY143 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( ( SY142
!= ( sdtasdt0 @ SY143 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV24 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY146 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ( doDivides0 @ SY146 @ SY145 ) ) )
| ~ ~ ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV24 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY149 @ SV24 )
| ~ ( ( SY148
!= ( sdtasdt0 @ SY149 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) ) )
| ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV24 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV24 )
| ( doDivides0 @ SY152 @ SY151 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ~ ( doDivides0 @ SY155 @ ( sdtasdt0 @ SV24 @ SY154 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY155 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( ( SY154
!= ( sdtasdt0 @ SY155 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) ) )
| ~ ! [SY156: $i,SY157: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY156 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY157
!= ( sdtasdt0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ SY157 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= SY157 ) ) ) )
| ( SY157 = sz00 )
| ( SY157 = sz10 )
| ~ ( doDivides0 @ SY157 @ ( sdtasdt0 @ SV24 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY156 ) @ SY157 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY157 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ( doDivides0 @ SY157 @ SY156 ) ) )
| ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY159
!= ( sdtasdt0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ SY159 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= SY159 ) ) ) )
| ( SY159 = sz00 )
| ( SY159 = sz10 )
| ~ ( doDivides0 @ SY159 @ ( sdtasdt0 @ SV24 @ SY158 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY158 ) @ SY159 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY159 @ SV24 )
| ~ ( ( SY158
!= ( sdtasdt0 @ SY159 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) ) )
| ~ ! [SY160: $i,SY161: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY161
!= ( sdtasdt0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ SY161 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= SY161 ) ) ) )
| ( SY161 = sz00 )
| ( SY161 = sz10 )
| ~ ( doDivides0 @ SY161 @ ( sdtasdt0 @ SV24 @ SY160 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY160 ) @ SY161 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY161 @ SV24 )
| ( doDivides0 @ SY161 @ SY160 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(487,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( isPrime0 @ SY163 )
| ! [SY164: $i] :
( ( ( sdtasdt0 @ SV24 @ SY162 )
!= ( sdtasdt0 @ SY163 @ SY164 ) )
| ~ ( aNaturalNumber0 @ SY164 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY162 ) @ SY163 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY163 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( ( SY162
!= ( sdtasdt0 @ SY163 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) ) )
| ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV24 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ( doDivides0 @ SY166 @ SY165 ) ) )
| ~ ~ ( ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV24 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY169 @ SV24 )
| ~ ( ( SY168
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) ) )
| ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV24 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV24 )
| ( doDivides0 @ SY172 @ SY171 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ~ ( doDivides0 @ SY175 @ ( sdtasdt0 @ SV24 @ SY174 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY175 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( ( SY174
!= ( sdtasdt0 @ SY175 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) ) )
| ~ ! [SY176: $i,SY177: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY176 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( isPrime0 @ SY177 )
| ~ ( doDivides0 @ SY177 @ ( sdtasdt0 @ SV24 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY176 ) @ SY177 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY177 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ( doDivides0 @ SY177 @ SY176 ) ) )
| ~ ~ ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( isPrime0 @ SY179 )
| ~ ( doDivides0 @ SY179 @ ( sdtasdt0 @ SV24 @ SY178 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY178 ) @ SY179 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY179 @ SV24 )
| ~ ( ( SY178
!= ( sdtasdt0 @ SY179 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) ) )
| ~ ! [SY180: $i,SY181: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( isPrime0 @ SY181 )
| ~ ( doDivides0 @ SY181 @ ( sdtasdt0 @ SV24 @ SY180 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY180 ) @ SY181 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY181 @ SV24 )
| ( doDivides0 @ SY181 @ SY180 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(488,plain,
! [SV55: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV55 ) )
= $true )
| ( ( ( sdtasdt0 @ SV55 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(489,plain,
! [SV56: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV56 ) )
= $true )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(490,plain,
! [SV70: $i,SV57: $i] :
( ( ~ ( aNaturalNumber0 @ SV57 )
| ~ ( aNaturalNumber0 @ SV70 )
| ( ( sdtpldt0 @ SV57 @ SV70 )
!= sz00 )
| ( SV57 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(491,plain,
! [SV71: $i,SV58: $i] :
( ( ~ ( aNaturalNumber0 @ SV58 )
| ~ ( aNaturalNumber0 @ SV71 )
| ( ( sdtpldt0 @ SV58 @ SV71 )
!= sz00 )
| ( SV71 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(492,plain,
! [SV72: $i,SV59: $i] :
( ( ~ ( aNaturalNumber0 @ SV59 )
| ~ ( aNaturalNumber0 @ SV72 )
| ( SV72 != SV59 )
| ( sdtlseqdt0 @ SV59 @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(493,plain,
! [SV73: $i,SV60: $i] :
( ( ~ ( aNaturalNumber0 @ SV60 )
| ~ ( aNaturalNumber0 @ SV73 )
| ( sdtlseqdt0 @ SV73 @ SV60 )
| ( sdtlseqdt0 @ SV60 @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(494,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[439]) ).
thf(495,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[439]) ).
thf(496,plain,
( ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(497,plain,
( ( ~ ( aNaturalNumber0 @ sK2_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(498,plain,
! [SV61: $i] :
( ( ( ( ( sdtpldt0 @ xp @ SV61 )
!= xn ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(499,plain,
! [SV62: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV62 ) )
= $true )
| ( ( ( sdtpldt0 @ SV62 @ sz00 )
= SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(500,plain,
! [SV63: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV63 ) )
= $true )
| ( ( SV63
= ( sdtpldt0 @ sz00 @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(501,plain,
! [SV42: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV42 ) )
= $true )
| ( ( ( SV25 = SV42 )
| ~ ( sdtlseqdt0 @ SV25 @ SV42 )
| ~ ( ~ ~ ( ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( ( sdtpldt0 @ SV25 @ SY194 )
!= ( sdtpldt0 @ SV42 @ SY194 ) ) )
| ~ ~ ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) )
| ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) ) )
| ~ ! [SY197: $i] :
( ~ ( aNaturalNumber0 @ SY197 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV25 @ SY197 ) @ ( sdtpldt0 @ SV42 @ SY197 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(502,plain,
! [SV2: $i,SV26: $i] :
( ( ( aNaturalNumber0 @ SV26 )
= $false )
| ( ( aNaturalNumber0 @ SV2 )
= $false )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV2 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(503,plain,
! [SV3: $i,SV27: $i] :
( ( ( aNaturalNumber0 @ SV27 )
= $false )
| ( ( aNaturalNumber0 @ SV3 )
= $false )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV3 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(504,plain,
! [SV4: $i,SV28: $i] :
( ( ( aNaturalNumber0 @ SV28 )
= $false )
| ( ( aNaturalNumber0 @ SV4 )
= $false )
| ( ( ( sdtpldt0 @ SV4 @ SV28 )
= ( sdtpldt0 @ SV28 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(505,plain,
! [SV43: $i,SV29: $i,SV5: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV5 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV29 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV43 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV29 ) @ SV43 )
= ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV29 @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(506,plain,
! [SV6: $i,SV30: $i] :
( ( ( aNaturalNumber0 @ SV30 )
= $false )
| ( ( aNaturalNumber0 @ SV6 )
= $false )
| ( ( ( sdtasdt0 @ SV6 @ SV30 )
= ( sdtasdt0 @ SV30 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(507,plain,
! [SV44: $i,SV31: $i,SV7: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV7 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV31 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV44 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV31 ) @ SV44 )
= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV31 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[451]) ).
thf(508,plain,
! [SV8: $i,SV32: $i] :
( ( ( aNaturalNumber0 @ SV32 )
= $false )
| ( ( aNaturalNumber0 @ SV8 )
= $false )
| ( ( ( ( sdtasdt0 @ SV8 @ SV32 )
!= sz00 )
| ( SV8 = sz00 )
| ( SV32 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(509,plain,
! [SV10: $i,SV33: $i] :
( ( ( aNaturalNumber0 @ SV33 )
= $false )
| ( ( aNaturalNumber0 @ SV10 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV10 @ SV33 )
| ~ ( sdtlseqdt0 @ SV33 @ SV10 )
| ( SV10 = SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(510,plain,
! [SV45: $i,SV34: $i,SV11: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV11 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV34 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV45 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV11 @ SV34 )
| ~ ( sdtlseqdt0 @ SV34 @ SV45 )
| ( sdtlseqdt0 @ SV11 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(511,plain,
! [SV12: $i,SV35: $i] :
( ( ( aNaturalNumber0 @ SV35 )
= $false )
| ( ( aNaturalNumber0 @ SV12 )
= $false )
| ( ( ( SV12 = sz00 )
| ( sdtlseqdt0 @ SV35 @ ( sdtasdt0 @ SV35 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(512,plain,
! [SV46: $i,SV64: $i] :
( ( ( aNaturalNumber0 @ SV64 )
= $false )
| ( ( aNaturalNumber0 @ SV46 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(513,plain,
! [SV13: $i,SV36: $i] :
( ( ( aNaturalNumber0 @ SV36 )
= $false )
| ( ( aNaturalNumber0 @ SV13 )
= $false )
| ( ( ( SV13 = SV36 )
| ~ ( sdtlseqdt0 @ SV13 @ SV36 )
| ( iLess0 @ SV13 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(514,plain,
! [SV47: $i,SV37: $i,SV14: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV14 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV37 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV47 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV14 @ SV37 )
| ~ ( doDivides0 @ SV37 @ SV47 )
| ( doDivides0 @ SV14 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(515,plain,
! [SV48: $i,SV38: $i,SV15: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV15 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV38 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV48 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV15 @ SV38 )
| ~ ( doDivides0 @ SV15 @ SV48 )
| ( doDivides0 @ SV15 @ ( sdtpldt0 @ SV38 @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(516,plain,
! [SV49: $i,SV39: $i,SV16: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV16 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV39 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV49 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV16 @ SV39 )
| ~ ( doDivides0 @ SV16 @ ( sdtpldt0 @ SV39 @ SV49 ) )
| ( doDivides0 @ SV16 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(517,plain,
! [SV17: $i,SV40: $i] :
( ( ( aNaturalNumber0 @ SV40 )
= $false )
| ( ( aNaturalNumber0 @ SV17 )
= $false )
| ( ( ( SV40 = sz00 )
| ~ ( doDivides0 @ SV17 @ SV40 )
| ( sdtlseqdt0 @ SV17 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(518,plain,
! [SV18: $i,SV41: $i] :
( ( ( aNaturalNumber0 @ SV41 )
= $false )
| ( ( aNaturalNumber0 @ SV18 )
= $false )
| ( ( ( SV18 = sz00 )
| ~ ( doDivides0 @ SV18 @ SV41 )
| ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtasdt0 @ SY193 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY193 @ SV41 ) @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(519,plain,
( ( aNaturalNumber0 @ xn )
= $true ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(520,plain,
( ( aNaturalNumber0 @ xm )
= $true ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(521,plain,
! [SV74: $i,SV65: $i,SV19: $i] :
( ( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SV65 )
| ~ ( aNaturalNumber0 @ SV74 )
| ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SV65 @ SV74 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV65 ) @ ( sdtasdt0 @ SV19 @ SV74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(522,plain,
! [SV75: $i,SV66: $i,SV19: $i] :
( ( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SV66 )
| ~ ( aNaturalNumber0 @ SV75 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV66 @ SV75 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV66 @ SV19 ) @ ( sdtasdt0 @ SV75 @ SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(523,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(524,plain,
( ( ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(525,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(526,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(527,plain,
( ( ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(528,plain,
( ( ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(529,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(530,plain,
( ( aNaturalNumber0 @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(531,plain,
! [SV20: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV20 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV20 ) @ SV20 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV20 ) ) )
= $false )
| ( ( SV20 = sz10 )
= $true )
| ( ( SV20 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(532,plain,
! [SV76: $i,SV67: $i,SV21: $i] :
( ( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SV67 )
| ~ ( aNaturalNumber0 @ SV76 )
| ( ( sdtpldt0 @ SV21 @ SV67 )
!= ( sdtpldt0 @ SV21 @ SV76 ) )
| ( SV67 = SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(533,plain,
! [SV77: $i,SV68: $i,SV21: $i] :
( ( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SV68 )
| ~ ( aNaturalNumber0 @ SV77 )
| ( ( sdtpldt0 @ SV68 @ SV21 )
!= ( sdtpldt0 @ SV77 @ SV21 ) )
| ( SV68 = SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(534,plain,
! [SV50: $i] :
( ( ( ( sdtpldt0 @ xp @ SV50 )
= xm )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(535,plain,
! [SV22: $i] :
( ( ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( aNaturalNumber0 @ SY130 )
| ~ ( aNaturalNumber0 @ SY131 )
| ( ( sdtasdt0 @ SV22 @ SY130 )
!= ( sdtasdt0 @ SV22 @ SY131 ) )
| ( SY130 = SY131 ) ) )
= $false )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(536,plain,
! [SV22: $i] :
( ( ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( aNaturalNumber0 @ SY132 )
| ~ ( aNaturalNumber0 @ SY133 )
| ( ( sdtasdt0 @ SY132 @ SV22 )
!= ( sdtasdt0 @ SY133 @ SV22 ) )
| ( SY132 = SY133 ) ) )
= $false )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(537,plain,
! [SV51: $i] :
( ( ( aNaturalNumber0 @ SV51 )
= $false )
| ( ( ( sz10 != SV51 )
| ( SV51 = sz00 )
| ( SV51 = sz10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(538,plain,
! [SV52: $i] :
( ( ( aNaturalNumber0 @ SV52 )
= $false )
| ( ( ( sdtlseqdt0 @ sz10 @ SV52 )
| ( SV52 = sz00 )
| ( SV52 = sz10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(539,plain,
! [SV53: $i] :
( ( ( aNaturalNumber0 @ SV53 )
= $false )
| ( ( ( sdtasdt0 @ SV53 @ sz10 )
= SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(540,plain,
! [SV54: $i] :
( ( ( aNaturalNumber0 @ SV54 )
= $false )
| ( ( SV54
= ( sdtasdt0 @ sz10 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(541,plain,
! [SV23: $i] :
( ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY134 )
| ~ ( aNaturalNumber0 @ SY135 )
| ( SV23 = sz00 )
| ( SY134 = SY135 )
| ~ ( sdtlseqdt0 @ SY134 @ SY135 )
| ( ( sdtasdt0 @ SY134 @ SV23 )
!= ( sdtasdt0 @ SY135 @ SV23 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(542,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ! [SY136: $i,SY137: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY136 )
| ~ ( aNaturalNumber0 @ SY137 )
| ( SV23 = sz00 )
| ( SY136 = SY137 )
| ~ ( sdtlseqdt0 @ SY136 @ SY137 )
| ( ( sdtasdt0 @ SV23 @ SY136 )
!= ( sdtasdt0 @ SV23 @ SY137 ) ) )
| ~ ! [SY138: $i,SY139: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY138 )
| ~ ( aNaturalNumber0 @ SY139 )
| ( SV23 = sz00 )
| ( SY138 = SY139 )
| ~ ( sdtlseqdt0 @ SY138 @ SY139 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SY138 ) @ ( sdtasdt0 @ SV23 @ SY139 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(543,plain,
! [SV78: $i,SV69: $i,SV23: $i] :
( ( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV69 )
| ~ ( aNaturalNumber0 @ SV78 )
| ( SV23 = sz00 )
| ( SV69 = SV78 )
| ~ ( sdtlseqdt0 @ SV69 @ SV78 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV69 @ SV23 ) @ ( sdtasdt0 @ SV78 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(544,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY142: $i,SY143: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY142 )
| ~ ( aNaturalNumber0 @ SY143 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY143
!= ( sdtasdt0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ SY143 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= SY143 ) ) ) )
| ( SY143 = sz00 )
| ( SY143 = sz10 )
| ! [SY144: $i] :
( ( ( sdtasdt0 @ SV24 @ SY142 )
!= ( sdtasdt0 @ SY143 @ SY144 ) )
| ~ ( aNaturalNumber0 @ SY144 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY142 ) @ SY143 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY143 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( ( SY142
!= ( sdtasdt0 @ SY143 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV24 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY146 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ( doDivides0 @ SY146 @ SY145 ) ) )
| ~ ~ ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV24 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY149 @ SV24 )
| ~ ( ( SY148
!= ( sdtasdt0 @ SY149 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) ) )
| ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV24 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV24 )
| ( doDivides0 @ SY152 @ SY151 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(545,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ~ ( doDivides0 @ SY155 @ ( sdtasdt0 @ SV24 @ SY154 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY155 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( ( SY154
!= ( sdtasdt0 @ SY155 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) ) )
| ~ ! [SY156: $i,SY157: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY156 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY157
!= ( sdtasdt0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ SY157 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= SY157 ) ) ) )
| ( SY157 = sz00 )
| ( SY157 = sz10 )
| ~ ( doDivides0 @ SY157 @ ( sdtasdt0 @ SV24 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY156 ) @ SY157 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY157 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ( doDivides0 @ SY157 @ SY156 ) ) )
| ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY159
!= ( sdtasdt0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ SY159 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= SY159 ) ) ) )
| ( SY159 = sz00 )
| ( SY159 = sz10 )
| ~ ( doDivides0 @ SY159 @ ( sdtasdt0 @ SV24 @ SY158 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY158 ) @ SY159 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY159 @ SV24 )
| ~ ( ( SY158
!= ( sdtasdt0 @ SY159 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) ) )
| ~ ! [SY160: $i,SY161: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY161
!= ( sdtasdt0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ SY161 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= SY161 ) ) ) )
| ( SY161 = sz00 )
| ( SY161 = sz10 )
| ~ ( doDivides0 @ SY161 @ ( sdtasdt0 @ SV24 @ SY160 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY160 ) @ SY161 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY161 @ SV24 )
| ( doDivides0 @ SY161 @ SY160 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(546,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( isPrime0 @ SY163 )
| ! [SY164: $i] :
( ( ( sdtasdt0 @ SV24 @ SY162 )
!= ( sdtasdt0 @ SY163 @ SY164 ) )
| ~ ( aNaturalNumber0 @ SY164 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY162 ) @ SY163 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY163 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( ( SY162
!= ( sdtasdt0 @ SY163 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) ) )
| ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV24 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ( doDivides0 @ SY166 @ SY165 ) ) )
| ~ ~ ( ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV24 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY169 @ SV24 )
| ~ ( ( SY168
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) ) )
| ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV24 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV24 )
| ( doDivides0 @ SY172 @ SY171 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(547,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ~ ( doDivides0 @ SY175 @ ( sdtasdt0 @ SV24 @ SY174 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY175 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( ( SY174
!= ( sdtasdt0 @ SY175 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) ) )
| ~ ! [SY176: $i,SY177: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY176 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( isPrime0 @ SY177 )
| ~ ( doDivides0 @ SY177 @ ( sdtasdt0 @ SV24 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY176 ) @ SY177 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY177 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ( doDivides0 @ SY177 @ SY176 ) ) )
| ~ ~ ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( isPrime0 @ SY179 )
| ~ ( doDivides0 @ SY179 @ ( sdtasdt0 @ SV24 @ SY178 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY178 ) @ SY179 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY179 @ SV24 )
| ~ ( ( SY178
!= ( sdtasdt0 @ SY179 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) ) )
| ~ ! [SY180: $i,SY181: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( isPrime0 @ SY181 )
| ~ ( doDivides0 @ SY181 @ ( sdtasdt0 @ SV24 @ SY180 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY180 ) @ SY181 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY181 @ SV24 )
| ( doDivides0 @ SY181 @ SY180 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(548,plain,
! [SV55: $i] :
( ( ( aNaturalNumber0 @ SV55 )
= $false )
| ( ( ( sdtasdt0 @ SV55 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(549,plain,
! [SV56: $i] :
( ( ( aNaturalNumber0 @ SV56 )
= $false )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(550,plain,
! [SV70: $i,SV57: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV57 )
| ~ ( aNaturalNumber0 @ SV70 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV57 @ SV70 )
!= sz00 )
| ( SV57 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(551,plain,
! [SV71: $i,SV58: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV58 )
| ~ ( aNaturalNumber0 @ SV71 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV58 @ SV71 )
!= sz00 )
| ( SV71 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(552,plain,
! [SV72: $i,SV59: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV59 )
| ~ ( aNaturalNumber0 @ SV72 ) )
= $true )
| ( ( ( SV72 != SV59 )
| ( sdtlseqdt0 @ SV59 @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[492]) ).
thf(553,plain,
! [SV73: $i,SV60: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV60 )
| ~ ( aNaturalNumber0 @ SV73 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV73 @ SV60 )
| ( sdtlseqdt0 @ SV60 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(554,plain,
( ( ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(555,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(556,plain,
( ( ( sdtpldt0 @ xp @ sK2_W0 )
= xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(557,plain,
( ( aNaturalNumber0 @ sK2_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(558,plain,
! [SV61: $i] :
( ( ( ( sdtpldt0 @ xp @ SV61 )
= xn )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(559,plain,
! [SV62: $i] :
( ( ( aNaturalNumber0 @ SV62 )
= $false )
| ( ( ( sdtpldt0 @ SV62 @ sz00 )
= SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(560,plain,
! [SV63: $i] :
( ( ( aNaturalNumber0 @ SV63 )
= $false )
| ( ( SV63
= ( sdtpldt0 @ sz00 @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(561,plain,
! [SV25: $i,SV42: $i] :
( ( ( aNaturalNumber0 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ( SV25 = SV42 )
| ~ ( sdtlseqdt0 @ SV25 @ SV42 )
| ~ ( ~ ~ ( ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( ( sdtpldt0 @ SV25 @ SY194 )
!= ( sdtpldt0 @ SV42 @ SY194 ) ) )
| ~ ~ ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) )
| ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) ) )
| ~ ! [SY197: $i] :
( ~ ( aNaturalNumber0 @ SY197 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV25 @ SY197 ) @ ( sdtpldt0 @ SV42 @ SY197 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(562,plain,
! [SV43: $i,SV29: $i,SV5: $i] :
( ( ( aNaturalNumber0 @ SV5 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV29 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV43 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV29 ) @ SV43 )
= ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV29 @ SV43 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(563,plain,
! [SV44: $i,SV31: $i,SV7: $i] :
( ( ( aNaturalNumber0 @ SV7 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV31 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV44 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV31 ) @ SV44 )
= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV31 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(564,plain,
! [SV32: $i,SV8: $i] :
( ( ( ( ( sdtasdt0 @ SV8 @ SV32 )
!= sz00 ) )
= $true )
| ( ( ( SV8 = sz00 )
| ( SV32 = sz00 ) )
= $true )
| ( ( aNaturalNumber0 @ SV8 )
= $false )
| ( ( aNaturalNumber0 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[508]) ).
thf(565,plain,
! [SV33: $i,SV10: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV10 @ SV33 )
| ~ ( sdtlseqdt0 @ SV33 @ SV10 ) )
= $true )
| ( ( SV10 = SV33 )
= $true )
| ( ( aNaturalNumber0 @ SV10 )
= $false )
| ( ( aNaturalNumber0 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[509]) ).
thf(566,plain,
! [SV45: $i,SV34: $i,SV11: $i] :
( ( ( aNaturalNumber0 @ SV11 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV34 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV45 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV11 @ SV34 )
| ~ ( sdtlseqdt0 @ SV34 @ SV45 )
| ( sdtlseqdt0 @ SV11 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(567,plain,
! [SV35: $i,SV12: $i] :
( ( ( SV12 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ SV35 @ ( sdtasdt0 @ SV35 @ SV12 ) )
= $true )
| ( ( aNaturalNumber0 @ SV12 )
= $false )
| ( ( aNaturalNumber0 @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[511]) ).
thf(568,plain,
! [SV36: $i,SV13: $i] :
( ( ( ( SV13 = SV36 )
| ~ ( sdtlseqdt0 @ SV13 @ SV36 ) )
= $true )
| ( ( iLess0 @ SV13 @ SV36 )
= $true )
| ( ( aNaturalNumber0 @ SV13 )
= $false )
| ( ( aNaturalNumber0 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(569,plain,
! [SV47: $i,SV37: $i,SV14: $i] :
( ( ( aNaturalNumber0 @ SV14 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV37 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV47 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV14 @ SV37 )
| ~ ( doDivides0 @ SV37 @ SV47 )
| ( doDivides0 @ SV14 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(570,plain,
! [SV48: $i,SV38: $i,SV15: $i] :
( ( ( aNaturalNumber0 @ SV15 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV38 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV48 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV15 @ SV38 )
| ~ ( doDivides0 @ SV15 @ SV48 )
| ( doDivides0 @ SV15 @ ( sdtpldt0 @ SV38 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(571,plain,
! [SV49: $i,SV39: $i,SV16: $i] :
( ( ( aNaturalNumber0 @ SV16 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV39 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV49 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV16 @ SV39 )
| ~ ( doDivides0 @ SV16 @ ( sdtpldt0 @ SV39 @ SV49 ) )
| ( doDivides0 @ SV16 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(572,plain,
! [SV17: $i,SV40: $i] :
( ( ( ( SV40 = sz00 )
| ~ ( doDivides0 @ SV17 @ SV40 ) )
= $true )
| ( ( sdtlseqdt0 @ SV17 @ SV40 )
= $true )
| ( ( aNaturalNumber0 @ SV17 )
= $false )
| ( ( aNaturalNumber0 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(573,plain,
! [SV41: $i,SV18: $i] :
( ( ( ( SV18 = sz00 )
| ~ ( doDivides0 @ SV18 @ SV41 ) )
= $true )
| ( ( ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtasdt0 @ SY193 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY193 @ SV41 ) @ SV18 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV18 )
= $false )
| ( ( aNaturalNumber0 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(574,plain,
! [SV74: $i,SV65: $i,SV19: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SV65 )
| ~ ( aNaturalNumber0 @ SV74 ) )
= $true )
| ( ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SV65 @ SV74 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV65 ) @ ( sdtasdt0 @ SV19 @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(575,plain,
! [SV75: $i,SV66: $i,SV19: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SV66 )
| ~ ( aNaturalNumber0 @ SV75 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV66 @ SV75 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV66 @ SV19 ) @ ( sdtasdt0 @ SV75 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(576,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(577,plain,
( ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(578,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(579,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(580,plain,
( ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(581,plain,
( ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(582,plain,
! [SV20: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV20 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV20 ) @ SV20 ) ) )
= $false )
| ( ( SV20 = sz10 )
= $true )
| ( ( SV20 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(583,plain,
! [SV20: $i] :
( ( ( ~ ( isPrime0 @ ( sK1_W1 @ SV20 ) ) )
= $false )
| ( ( SV20 = sz10 )
= $true )
| ( ( SV20 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(584,plain,
! [SV76: $i,SV67: $i,SV21: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SV67 )
| ~ ( aNaturalNumber0 @ SV76 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV21 @ SV67 )
!= ( sdtpldt0 @ SV21 @ SV76 ) )
| ( SV67 = SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(585,plain,
! [SV77: $i,SV68: $i,SV21: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SV68 )
| ~ ( aNaturalNumber0 @ SV77 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV68 @ SV21 )
!= ( sdtpldt0 @ SV77 @ SV21 ) )
| ( SV68 = SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[533]) ).
thf(586,plain,
! [SV50: $i] :
( ( ( aNaturalNumber0 @ SV50 )
= $false )
| ( ( ( sdtpldt0 @ xp @ SV50 )
= xm )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(587,plain,
! [SV22: $i] :
( ( ( ! [SY130: $i,SY131: $i] :
( ~ ( aNaturalNumber0 @ SY130 )
| ~ ( aNaturalNumber0 @ SY131 )
| ( ( sdtasdt0 @ SV22 @ SY130 )
!= ( sdtasdt0 @ SV22 @ SY131 ) )
| ( SY130 = SY131 ) ) )
= $true )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(588,plain,
! [SV22: $i] :
( ( ( ! [SY132: $i,SY133: $i] :
( ~ ( aNaturalNumber0 @ SY132 )
| ~ ( aNaturalNumber0 @ SY133 )
| ( ( sdtasdt0 @ SY132 @ SV22 )
!= ( sdtasdt0 @ SY133 @ SV22 ) )
| ( SY132 = SY133 ) ) )
= $true )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(589,plain,
! [SV51: $i] :
( ( ( ( sz10 != SV51 ) )
= $true )
| ( ( ( SV51 = sz00 )
| ( SV51 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(590,plain,
! [SV52: $i] :
( ( ( sdtlseqdt0 @ sz10 @ SV52 )
= $true )
| ( ( ( SV52 = sz00 )
| ( SV52 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(591,plain,
! [SV23: $i] :
( ( ! [SY134: $i,SY135: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY134 )
| ~ ( aNaturalNumber0 @ SY135 )
| ( SV23 = sz00 )
| ( SY134 = SY135 )
| ~ ( sdtlseqdt0 @ SY134 @ SY135 )
| ( ( sdtasdt0 @ SY134 @ SV23 )
!= ( sdtasdt0 @ SY135 @ SV23 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(592,plain,
! [SV23: $i] :
( ( ~ ( ~ ! [SY136: $i,SY137: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY136 )
| ~ ( aNaturalNumber0 @ SY137 )
| ( SV23 = sz00 )
| ( SY136 = SY137 )
| ~ ( sdtlseqdt0 @ SY136 @ SY137 )
| ( ( sdtasdt0 @ SV23 @ SY136 )
!= ( sdtasdt0 @ SV23 @ SY137 ) ) )
| ~ ! [SY138: $i,SY139: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY138 )
| ~ ( aNaturalNumber0 @ SY139 )
| ( SV23 = sz00 )
| ( SY138 = SY139 )
| ~ ( sdtlseqdt0 @ SY138 @ SY139 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SY138 ) @ ( sdtasdt0 @ SV23 @ SY139 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(593,plain,
! [SV78: $i,SV69: $i,SV23: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV69 )
| ~ ( aNaturalNumber0 @ SV78 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV69 = SV78 )
| ~ ( sdtlseqdt0 @ SV69 @ SV78 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV69 @ SV23 ) @ ( sdtasdt0 @ SV78 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[543]) ).
thf(594,plain,
! [SV24: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY142: $i,SY143: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY142 )
| ~ ( aNaturalNumber0 @ SY143 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY143
!= ( sdtasdt0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ SY143 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= SY143 ) ) ) )
| ( SY143 = sz00 )
| ( SY143 = sz10 )
| ! [SY144: $i] :
( ( ( sdtasdt0 @ SV24 @ SY142 )
!= ( sdtasdt0 @ SY143 @ SY144 ) )
| ~ ( aNaturalNumber0 @ SY144 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY142 ) @ SY143 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY143 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( ( SY142
!= ( sdtasdt0 @ SY143 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV24 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY146 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ( doDivides0 @ SY146 @ SY145 ) ) )
| ~ ~ ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV24 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY149 @ SV24 )
| ~ ( ( SY148
!= ( sdtasdt0 @ SY149 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) ) )
| ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV24 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV24 )
| ( doDivides0 @ SY152 @ SY151 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(595,plain,
! [SV24: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ~ ( doDivides0 @ SY155 @ ( sdtasdt0 @ SV24 @ SY154 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY155 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( ( SY154
!= ( sdtasdt0 @ SY155 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) ) )
| ~ ! [SY156: $i,SY157: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY156 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY157
!= ( sdtasdt0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ SY157 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= SY157 ) ) ) )
| ( SY157 = sz00 )
| ( SY157 = sz10 )
| ~ ( doDivides0 @ SY157 @ ( sdtasdt0 @ SV24 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY156 ) @ SY157 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY157 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ( doDivides0 @ SY157 @ SY156 ) ) )
| ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY159
!= ( sdtasdt0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ SY159 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= SY159 ) ) ) )
| ( SY159 = sz00 )
| ( SY159 = sz10 )
| ~ ( doDivides0 @ SY159 @ ( sdtasdt0 @ SV24 @ SY158 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY158 ) @ SY159 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY159 @ SV24 )
| ~ ( ( SY158
!= ( sdtasdt0 @ SY159 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) ) )
| ~ ! [SY160: $i,SY161: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY161
!= ( sdtasdt0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ SY161 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= SY161 ) ) ) )
| ( SY161 = sz00 )
| ( SY161 = sz10 )
| ~ ( doDivides0 @ SY161 @ ( sdtasdt0 @ SV24 @ SY160 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY160 ) @ SY161 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY161 @ SV24 )
| ( doDivides0 @ SY161 @ SY160 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(596,plain,
! [SV24: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( isPrime0 @ SY163 )
| ! [SY164: $i] :
( ( ( sdtasdt0 @ SV24 @ SY162 )
!= ( sdtasdt0 @ SY163 @ SY164 ) )
| ~ ( aNaturalNumber0 @ SY164 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY162 ) @ SY163 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY163 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( ( SY162
!= ( sdtasdt0 @ SY163 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) ) )
| ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV24 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ( doDivides0 @ SY166 @ SY165 ) ) )
| ~ ~ ( ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV24 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY169 @ SV24 )
| ~ ( ( SY168
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) ) )
| ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV24 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV24 )
| ( doDivides0 @ SY172 @ SY171 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(597,plain,
! [SV24: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ~ ( doDivides0 @ SY175 @ ( sdtasdt0 @ SV24 @ SY174 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY175 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( ( SY174
!= ( sdtasdt0 @ SY175 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) ) )
| ~ ! [SY176: $i,SY177: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY176 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( isPrime0 @ SY177 )
| ~ ( doDivides0 @ SY177 @ ( sdtasdt0 @ SV24 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY176 ) @ SY177 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY177 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ( doDivides0 @ SY177 @ SY176 ) ) )
| ~ ~ ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( isPrime0 @ SY179 )
| ~ ( doDivides0 @ SY179 @ ( sdtasdt0 @ SV24 @ SY178 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY178 ) @ SY179 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY179 @ SV24 )
| ~ ( ( SY178
!= ( sdtasdt0 @ SY179 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) ) )
| ~ ! [SY180: $i,SY181: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( isPrime0 @ SY181 )
| ~ ( doDivides0 @ SY181 @ ( sdtasdt0 @ SV24 @ SY180 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY180 ) @ SY181 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY181 @ SV24 )
| ( doDivides0 @ SY181 @ SY180 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(598,plain,
! [SV70: $i,SV57: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV57 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV70 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV57 @ SV70 )
!= sz00 )
| ( SV57 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[550]) ).
thf(599,plain,
! [SV71: $i,SV58: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV58 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV71 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV58 @ SV71 )
!= sz00 )
| ( SV71 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(600,plain,
! [SV72: $i,SV59: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV59 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV72 ) )
= $true )
| ( ( ( SV72 != SV59 )
| ( sdtlseqdt0 @ SV59 @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(601,plain,
! [SV73: $i,SV60: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV60 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV73 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV73 @ SV60 )
| ( sdtlseqdt0 @ SV60 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(602,plain,
( ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(603,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(604,plain,
! [SV61: $i] :
( ( ( aNaturalNumber0 @ SV61 )
= $false )
| ( ( ( sdtpldt0 @ xp @ SV61 )
= xn )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(605,plain,
! [SV42: $i,SV25: $i] :
( ( ( ( SV25 = SV42 )
| ~ ( sdtlseqdt0 @ SV25 @ SV42 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( ( sdtpldt0 @ SV25 @ SY194 )
!= ( sdtpldt0 @ SV42 @ SY194 ) ) )
| ~ ~ ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) )
| ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) ) )
| ~ ! [SY197: $i] :
( ~ ( aNaturalNumber0 @ SY197 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV25 @ SY197 ) @ ( sdtpldt0 @ SV42 @ SY197 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[561]) ).
thf(606,plain,
! [SV43: $i,SV5: $i,SV29: $i] :
( ( ( aNaturalNumber0 @ SV29 )
= $false )
| ( ( aNaturalNumber0 @ SV5 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV43 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV29 ) @ SV43 )
= ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV29 @ SV43 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(607,plain,
! [SV44: $i,SV7: $i,SV31: $i] :
( ( ( aNaturalNumber0 @ SV31 )
= $false )
| ( ( aNaturalNumber0 @ SV7 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV44 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV31 ) @ SV44 )
= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV31 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(608,plain,
! [SV32: $i,SV8: $i] :
( ( ( ( sdtasdt0 @ SV8 @ SV32 )
= sz00 )
= $false )
| ( ( ( SV8 = sz00 )
| ( SV32 = sz00 ) )
= $true )
| ( ( aNaturalNumber0 @ SV8 )
= $false )
| ( ( aNaturalNumber0 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(609,plain,
! [SV33: $i,SV10: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV10 @ SV33 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV33 @ SV10 ) )
= $true )
| ( ( SV10 = SV33 )
= $true )
| ( ( aNaturalNumber0 @ SV10 )
= $false )
| ( ( aNaturalNumber0 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[565]) ).
thf(610,plain,
! [SV45: $i,SV11: $i,SV34: $i] :
( ( ( aNaturalNumber0 @ SV34 )
= $false )
| ( ( aNaturalNumber0 @ SV11 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV45 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV11 @ SV34 )
| ~ ( sdtlseqdt0 @ SV34 @ SV45 )
| ( sdtlseqdt0 @ SV11 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(611,plain,
! [SV36: $i,SV13: $i] :
( ( ( SV13 = SV36 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV13 @ SV36 ) )
= $true )
| ( ( iLess0 @ SV13 @ SV36 )
= $true )
| ( ( aNaturalNumber0 @ SV13 )
= $false )
| ( ( aNaturalNumber0 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(612,plain,
! [SV47: $i,SV14: $i,SV37: $i] :
( ( ( aNaturalNumber0 @ SV37 )
= $false )
| ( ( aNaturalNumber0 @ SV14 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV47 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV14 @ SV37 )
| ~ ( doDivides0 @ SV37 @ SV47 )
| ( doDivides0 @ SV14 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(613,plain,
! [SV48: $i,SV15: $i,SV38: $i] :
( ( ( aNaturalNumber0 @ SV38 )
= $false )
| ( ( aNaturalNumber0 @ SV15 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV48 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV15 @ SV38 )
| ~ ( doDivides0 @ SV15 @ SV48 )
| ( doDivides0 @ SV15 @ ( sdtpldt0 @ SV38 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(614,plain,
! [SV49: $i,SV16: $i,SV39: $i] :
( ( ( aNaturalNumber0 @ SV39 )
= $false )
| ( ( aNaturalNumber0 @ SV16 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV49 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV16 @ SV39 )
| ~ ( doDivides0 @ SV16 @ ( sdtpldt0 @ SV39 @ SV49 ) )
| ( doDivides0 @ SV16 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(615,plain,
! [SV17: $i,SV40: $i] :
( ( ( SV40 = sz00 )
= $true )
| ( ( ~ ( doDivides0 @ SV17 @ SV40 ) )
= $true )
| ( ( sdtlseqdt0 @ SV17 @ SV40 )
= $true )
| ( ( aNaturalNumber0 @ SV17 )
= $false )
| ( ( aNaturalNumber0 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(616,plain,
! [SV41: $i,SV18: $i] :
( ( ( SV18 = sz00 )
= $true )
| ( ( ~ ( doDivides0 @ SV18 @ SV41 ) )
= $true )
| ( ( ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtasdt0 @ SY193 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY193 @ SV41 ) @ SV18 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV18 )
= $false )
| ( ( aNaturalNumber0 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[573]) ).
thf(617,plain,
! [SV74: $i,SV65: $i,SV19: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SV65 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV74 ) )
= $true )
| ( ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SV65 @ SV74 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV65 ) @ ( sdtasdt0 @ SV19 @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[574]) ).
thf(618,plain,
! [SV75: $i,SV66: $i,SV19: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SV66 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV75 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV66 @ SV75 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV66 @ SV19 ) @ ( sdtasdt0 @ SV75 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(619,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[576]) ).
thf(620,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[576]) ).
thf(621,plain,
( ( ~ ( ( xr != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(622,plain,
( ( ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(623,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(624,plain,
( ( ~ ( isPrime0 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(625,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(626,plain,
( ( ~ ( aNaturalNumber0 @ sK8_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(627,plain,
( ( ~ ( ( xm != xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(628,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(629,plain,
( ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(630,plain,
( ( ~ ( aNaturalNumber0 @ sK6_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(631,plain,
! [SV20: $i] :
( ( ( ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV20 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV20 ) @ SV20 ) ) )
= $true )
| ( ( SV20 = sz10 )
= $true )
| ( ( SV20 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(632,plain,
! [SV20: $i] :
( ( ( isPrime0 @ ( sK1_W1 @ SV20 ) )
= $true )
| ( ( SV20 = sz10 )
= $true )
| ( ( SV20 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[583]) ).
thf(633,plain,
! [SV76: $i,SV67: $i,SV21: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SV67 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV76 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV21 @ SV67 )
!= ( sdtpldt0 @ SV21 @ SV76 ) )
| ( SV67 = SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(634,plain,
! [SV77: $i,SV68: $i,SV21: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV21 )
| ~ ( aNaturalNumber0 @ SV68 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV77 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV68 @ SV21 )
!= ( sdtpldt0 @ SV77 @ SV21 ) )
| ( SV68 = SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(635,plain,
! [SV22: $i,SV79: $i] :
( ( ( ! [SY207: $i] :
( ~ ( aNaturalNumber0 @ SV79 )
| ~ ( aNaturalNumber0 @ SY207 )
| ( ( sdtasdt0 @ SV22 @ SV79 )
!= ( sdtasdt0 @ SV22 @ SY207 ) )
| ( SV79 = SY207 ) ) )
= $true )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(636,plain,
! [SV22: $i,SV80: $i] :
( ( ( ! [SY208: $i] :
( ~ ( aNaturalNumber0 @ SV80 )
| ~ ( aNaturalNumber0 @ SY208 )
| ( ( sdtasdt0 @ SV80 @ SV22 )
!= ( sdtasdt0 @ SY208 @ SV22 ) )
| ( SV80 = SY208 ) ) )
= $true )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(637,plain,
! [SV51: $i] :
( ( ( sz10 = SV51 )
= $false )
| ( ( ( SV51 = sz00 )
| ( SV51 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(638,plain,
! [SV52: $i] :
( ( ( SV52 = sz00 )
= $true )
| ( ( SV52 = sz10 )
= $true )
| ( ( sdtlseqdt0 @ sz10 @ SV52 )
= $true )
| ( ( aNaturalNumber0 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(639,plain,
! [SV81: $i,SV23: $i] :
( ( ! [SY209: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV81 )
| ~ ( aNaturalNumber0 @ SY209 )
| ( SV23 = sz00 )
| ( SV81 = SY209 )
| ~ ( sdtlseqdt0 @ SV81 @ SY209 )
| ( ( sdtasdt0 @ SV81 @ SV23 )
!= ( sdtasdt0 @ SY209 @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(640,plain,
! [SV23: $i] :
( ( ~ ! [SY136: $i,SY137: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY136 )
| ~ ( aNaturalNumber0 @ SY137 )
| ( SV23 = sz00 )
| ( SY136 = SY137 )
| ~ ( sdtlseqdt0 @ SY136 @ SY137 )
| ( ( sdtasdt0 @ SV23 @ SY136 )
!= ( sdtasdt0 @ SV23 @ SY137 ) ) )
| ~ ! [SY138: $i,SY139: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY138 )
| ~ ( aNaturalNumber0 @ SY139 )
| ( SV23 = sz00 )
| ( SY138 = SY139 )
| ~ ( sdtlseqdt0 @ SY138 @ SY139 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SY138 ) @ ( sdtasdt0 @ SV23 @ SY139 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(641,plain,
! [SV78: $i,SV69: $i,SV23: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV69 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV78 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV69 = SV78 )
| ~ ( sdtlseqdt0 @ SV69 @ SV78 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV69 @ SV23 ) @ ( sdtasdt0 @ SV78 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[593]) ).
thf(642,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY142: $i,SY143: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY142 )
| ~ ( aNaturalNumber0 @ SY143 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY143
!= ( sdtasdt0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ SY143 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= SY143 ) ) ) )
| ( SY143 = sz00 )
| ( SY143 = sz10 )
| ! [SY144: $i] :
( ( ( sdtasdt0 @ SV24 @ SY142 )
!= ( sdtasdt0 @ SY143 @ SY144 ) )
| ~ ( aNaturalNumber0 @ SY144 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY142 ) @ SY143 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY143 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( ( SY142
!= ( sdtasdt0 @ SY143 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV24 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY146 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ( doDivides0 @ SY146 @ SY145 ) ) )
| ~ ~ ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV24 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY149 @ SV24 )
| ~ ( ( SY148
!= ( sdtasdt0 @ SY149 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) ) )
| ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV24 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV24 )
| ( doDivides0 @ SY152 @ SY151 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(643,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ~ ( doDivides0 @ SY155 @ ( sdtasdt0 @ SV24 @ SY154 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY155 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( ( SY154
!= ( sdtasdt0 @ SY155 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) ) )
| ~ ! [SY156: $i,SY157: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY156 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY157
!= ( sdtasdt0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ SY157 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= SY157 ) ) ) )
| ( SY157 = sz00 )
| ( SY157 = sz10 )
| ~ ( doDivides0 @ SY157 @ ( sdtasdt0 @ SV24 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY156 ) @ SY157 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY157 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ( doDivides0 @ SY157 @ SY156 ) ) )
| ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY159
!= ( sdtasdt0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ SY159 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= SY159 ) ) ) )
| ( SY159 = sz00 )
| ( SY159 = sz10 )
| ~ ( doDivides0 @ SY159 @ ( sdtasdt0 @ SV24 @ SY158 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY158 ) @ SY159 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY159 @ SV24 )
| ~ ( ( SY158
!= ( sdtasdt0 @ SY159 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) ) )
| ~ ! [SY160: $i,SY161: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY161
!= ( sdtasdt0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ SY161 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= SY161 ) ) ) )
| ( SY161 = sz00 )
| ( SY161 = sz10 )
| ~ ( doDivides0 @ SY161 @ ( sdtasdt0 @ SV24 @ SY160 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY160 ) @ SY161 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY161 @ SV24 )
| ( doDivides0 @ SY161 @ SY160 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(644,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( isPrime0 @ SY163 )
| ! [SY164: $i] :
( ( ( sdtasdt0 @ SV24 @ SY162 )
!= ( sdtasdt0 @ SY163 @ SY164 ) )
| ~ ( aNaturalNumber0 @ SY164 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY162 ) @ SY163 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY163 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( ( SY162
!= ( sdtasdt0 @ SY163 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) ) )
| ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV24 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ( doDivides0 @ SY166 @ SY165 ) ) )
| ~ ~ ( ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV24 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY169 @ SV24 )
| ~ ( ( SY168
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) ) )
| ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV24 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV24 )
| ( doDivides0 @ SY172 @ SY171 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(645,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ~ ( doDivides0 @ SY175 @ ( sdtasdt0 @ SV24 @ SY174 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY175 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( ( SY174
!= ( sdtasdt0 @ SY175 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) ) )
| ~ ! [SY176: $i,SY177: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY176 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( isPrime0 @ SY177 )
| ~ ( doDivides0 @ SY177 @ ( sdtasdt0 @ SV24 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY176 ) @ SY177 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY177 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ( doDivides0 @ SY177 @ SY176 ) ) )
| ~ ~ ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( isPrime0 @ SY179 )
| ~ ( doDivides0 @ SY179 @ ( sdtasdt0 @ SV24 @ SY178 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY178 ) @ SY179 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY179 @ SV24 )
| ~ ( ( SY178
!= ( sdtasdt0 @ SY179 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) ) )
| ~ ! [SY180: $i,SY181: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( isPrime0 @ SY181 )
| ~ ( doDivides0 @ SY181 @ ( sdtasdt0 @ SV24 @ SY180 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY180 ) @ SY181 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY181 @ SV24 )
| ( doDivides0 @ SY181 @ SY180 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(646,plain,
! [SV70: $i,SV57: $i] :
( ( ( aNaturalNumber0 @ SV57 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV70 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV57 @ SV70 )
!= sz00 )
| ( SV57 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(647,plain,
! [SV71: $i,SV58: $i] :
( ( ( aNaturalNumber0 @ SV58 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV71 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV58 @ SV71 )
!= sz00 )
| ( SV71 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(648,plain,
! [SV72: $i,SV59: $i] :
( ( ( aNaturalNumber0 @ SV59 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV72 ) )
= $true )
| ( ( ( SV72 != SV59 )
| ( sdtlseqdt0 @ SV59 @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(649,plain,
! [SV73: $i,SV60: $i] :
( ( ( aNaturalNumber0 @ SV60 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV73 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV73 @ SV60 )
| ( sdtlseqdt0 @ SV60 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(650,plain,
( ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(651,plain,
( ( ~ ( aNaturalNumber0 @ sK4_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(652,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[603]) ).
thf(653,plain,
( ( ~ ( aNaturalNumber0 @ sK3_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[603]) ).
thf(654,plain,
! [SV42: $i,SV25: $i] :
( ( ( SV25 = SV42 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV25 @ SV42 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( ( sdtpldt0 @ SV25 @ SY194 )
!= ( sdtpldt0 @ SV42 @ SY194 ) ) )
| ~ ~ ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) )
| ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) ) )
| ~ ! [SY197: $i] :
( ~ ( aNaturalNumber0 @ SY197 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV25 @ SY197 ) @ ( sdtpldt0 @ SV42 @ SY197 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[605]) ).
thf(655,plain,
! [SV29: $i,SV5: $i,SV43: $i] :
( ( ( aNaturalNumber0 @ SV43 )
= $false )
| ( ( aNaturalNumber0 @ SV5 )
= $false )
| ( ( aNaturalNumber0 @ SV29 )
= $false )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV29 ) @ SV43 )
= ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV29 @ SV43 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(656,plain,
! [SV31: $i,SV7: $i,SV44: $i] :
( ( ( aNaturalNumber0 @ SV44 )
= $false )
| ( ( aNaturalNumber0 @ SV7 )
= $false )
| ( ( aNaturalNumber0 @ SV31 )
= $false )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV31 ) @ SV44 )
= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV31 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(657,plain,
! [SV32: $i,SV8: $i] :
( ( ( SV8 = sz00 )
= $true )
| ( ( SV32 = sz00 )
= $true )
| ( ( ( sdtasdt0 @ SV8 @ SV32 )
= sz00 )
= $false )
| ( ( aNaturalNumber0 @ SV8 )
= $false )
| ( ( aNaturalNumber0 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(658,plain,
! [SV33: $i,SV10: $i] :
( ( ( sdtlseqdt0 @ SV10 @ SV33 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV33 @ SV10 ) )
= $true )
| ( ( SV10 = SV33 )
= $true )
| ( ( aNaturalNumber0 @ SV10 )
= $false )
| ( ( aNaturalNumber0 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(659,plain,
! [SV34: $i,SV11: $i,SV45: $i] :
( ( ( aNaturalNumber0 @ SV45 )
= $false )
| ( ( aNaturalNumber0 @ SV11 )
= $false )
| ( ( aNaturalNumber0 @ SV34 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV11 @ SV34 )
| ~ ( sdtlseqdt0 @ SV34 @ SV45 )
| ( sdtlseqdt0 @ SV11 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(660,plain,
! [SV36: $i,SV13: $i] :
( ( ( sdtlseqdt0 @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV36 )
= $true )
| ( ( iLess0 @ SV13 @ SV36 )
= $true )
| ( ( aNaturalNumber0 @ SV13 )
= $false )
| ( ( aNaturalNumber0 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(661,plain,
! [SV37: $i,SV14: $i,SV47: $i] :
( ( ( aNaturalNumber0 @ SV47 )
= $false )
| ( ( aNaturalNumber0 @ SV14 )
= $false )
| ( ( aNaturalNumber0 @ SV37 )
= $false )
| ( ( ~ ( doDivides0 @ SV14 @ SV37 )
| ~ ( doDivides0 @ SV37 @ SV47 )
| ( doDivides0 @ SV14 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(662,plain,
! [SV38: $i,SV15: $i,SV48: $i] :
( ( ( aNaturalNumber0 @ SV48 )
= $false )
| ( ( aNaturalNumber0 @ SV15 )
= $false )
| ( ( aNaturalNumber0 @ SV38 )
= $false )
| ( ( ~ ( doDivides0 @ SV15 @ SV38 )
| ~ ( doDivides0 @ SV15 @ SV48 )
| ( doDivides0 @ SV15 @ ( sdtpldt0 @ SV38 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(663,plain,
! [SV39: $i,SV16: $i,SV49: $i] :
( ( ( aNaturalNumber0 @ SV49 )
= $false )
| ( ( aNaturalNumber0 @ SV16 )
= $false )
| ( ( aNaturalNumber0 @ SV39 )
= $false )
| ( ( ~ ( doDivides0 @ SV16 @ SV39 )
| ~ ( doDivides0 @ SV16 @ ( sdtpldt0 @ SV39 @ SV49 ) )
| ( doDivides0 @ SV16 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(664,plain,
! [SV40: $i,SV17: $i] :
( ( ( doDivides0 @ SV17 @ SV40 )
= $false )
| ( ( SV40 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ SV17 @ SV40 )
= $true )
| ( ( aNaturalNumber0 @ SV17 )
= $false )
| ( ( aNaturalNumber0 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(665,plain,
! [SV41: $i,SV18: $i] :
( ( ( doDivides0 @ SV18 @ SV41 )
= $false )
| ( ( SV18 = sz00 )
= $true )
| ( ( ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtasdt0 @ SY193 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY193 @ SV41 ) @ SV18 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV18 )
= $false )
| ( ( aNaturalNumber0 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(666,plain,
! [SV74: $i,SV65: $i,SV19: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV19 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV65 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV74 ) )
= $true )
| ( ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SV65 @ SV74 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV65 ) @ ( sdtasdt0 @ SV19 @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[617]) ).
thf(667,plain,
! [SV75: $i,SV66: $i,SV19: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV19 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV66 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV75 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV66 @ SV75 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV66 @ SV19 ) @ ( sdtasdt0 @ SV75 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(668,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(669,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[620]) ).
thf(670,plain,
( ( ( xr != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[621]) ).
thf(671,plain,
( ( ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[622]) ).
thf(672,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[623]) ).
thf(673,plain,
( ( isPrime0 @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(674,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ sK8_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(675,plain,
( ( aNaturalNumber0 @ sK8_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(676,plain,
( ( ( xm != xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(677,plain,
( ( ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(678,plain,
( ( ( sdtpldt0 @ xm @ sK6_W0 )
= xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(679,plain,
( ( aNaturalNumber0 @ sK6_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(680,plain,
! [SV20: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV20 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV20 ) @ SV20 ) )
= $false )
| ( ( SV20 = sz10 )
= $true )
| ( ( SV20 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(681,plain,
! [SV76: $i,SV67: $i,SV21: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV21 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV67 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV76 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV21 @ SV67 )
!= ( sdtpldt0 @ SV21 @ SV76 ) )
| ( SV67 = SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(682,plain,
! [SV77: $i,SV68: $i,SV21: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV21 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV68 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV77 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV68 @ SV21 )
!= ( sdtpldt0 @ SV77 @ SV21 ) )
| ( SV68 = SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(683,plain,
! [SV22: $i,SV82: $i,SV79: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV79 )
| ~ ( aNaturalNumber0 @ SV82 )
| ( ( sdtasdt0 @ SV22 @ SV79 )
!= ( sdtasdt0 @ SV22 @ SV82 ) )
| ( SV79 = SV82 ) )
= $true )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(684,plain,
! [SV22: $i,SV83: $i,SV80: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV80 )
| ~ ( aNaturalNumber0 @ SV83 )
| ( ( sdtasdt0 @ SV80 @ SV22 )
!= ( sdtasdt0 @ SV83 @ SV22 ) )
| ( SV80 = SV83 ) )
= $true )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(685,plain,
! [SV51: $i] :
( ( ( SV51 = sz00 )
= $true )
| ( ( SV51 = sz10 )
= $true )
| ( ( sz10 = SV51 )
= $false )
| ( ( aNaturalNumber0 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[637]) ).
thf(686,plain,
! [SV84: $i,SV81: $i,SV23: $i] :
( ( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV81 )
| ~ ( aNaturalNumber0 @ SV84 )
| ( SV23 = sz00 )
| ( SV81 = SV84 )
| ~ ( sdtlseqdt0 @ SV81 @ SV84 )
| ( ( sdtasdt0 @ SV81 @ SV23 )
!= ( sdtasdt0 @ SV84 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(687,plain,
! [SV23: $i] :
( ( ~ ! [SY136: $i,SY137: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY136 )
| ~ ( aNaturalNumber0 @ SY137 )
| ( SV23 = sz00 )
| ( SY136 = SY137 )
| ~ ( sdtlseqdt0 @ SY136 @ SY137 )
| ( ( sdtasdt0 @ SV23 @ SY136 )
!= ( sdtasdt0 @ SV23 @ SY137 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(688,plain,
! [SV23: $i] :
( ( ~ ! [SY138: $i,SY139: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY138 )
| ~ ( aNaturalNumber0 @ SY139 )
| ( SV23 = sz00 )
| ( SY138 = SY139 )
| ~ ( sdtlseqdt0 @ SY138 @ SY139 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SY138 ) @ ( sdtasdt0 @ SV23 @ SY139 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[640]) ).
thf(689,plain,
! [SV78: $i,SV69: $i,SV23: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV23 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV69 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV78 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV69 = SV78 )
| ~ ( sdtlseqdt0 @ SV69 @ SV78 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV69 @ SV23 ) @ ( sdtasdt0 @ SV78 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(690,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY142: $i,SY143: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY142 )
| ~ ( aNaturalNumber0 @ SY143 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY143
!= ( sdtasdt0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ SY143 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= SY143 ) ) ) )
| ( SY143 = sz00 )
| ( SY143 = sz10 )
| ! [SY144: $i] :
( ( ( sdtasdt0 @ SV24 @ SY142 )
!= ( sdtasdt0 @ SY143 @ SY144 ) )
| ~ ( aNaturalNumber0 @ SY144 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY142 ) @ SY143 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY143 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( ( SY142
!= ( sdtasdt0 @ SY143 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV24 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY146 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ( doDivides0 @ SY146 @ SY145 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(691,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV24 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY149 @ SV24 )
| ~ ( ( SY148
!= ( sdtasdt0 @ SY149 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) ) )
| ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV24 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV24 )
| ( doDivides0 @ SY152 @ SY151 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(692,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ~ ( doDivides0 @ SY155 @ ( sdtasdt0 @ SV24 @ SY154 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY155 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( ( SY154
!= ( sdtasdt0 @ SY155 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) ) )
| ~ ! [SY156: $i,SY157: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY156 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY157
!= ( sdtasdt0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ SY157 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= SY157 ) ) ) )
| ( SY157 = sz00 )
| ( SY157 = sz10 )
| ~ ( doDivides0 @ SY157 @ ( sdtasdt0 @ SV24 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY156 ) @ SY157 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY157 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ( doDivides0 @ SY157 @ SY156 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[643]) ).
thf(693,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY159
!= ( sdtasdt0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ SY159 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= SY159 ) ) ) )
| ( SY159 = sz00 )
| ( SY159 = sz10 )
| ~ ( doDivides0 @ SY159 @ ( sdtasdt0 @ SV24 @ SY158 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY158 ) @ SY159 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY159 @ SV24 )
| ~ ( ( SY158
!= ( sdtasdt0 @ SY159 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) ) )
| ~ ! [SY160: $i,SY161: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY161
!= ( sdtasdt0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ SY161 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= SY161 ) ) ) )
| ( SY161 = sz00 )
| ( SY161 = sz10 )
| ~ ( doDivides0 @ SY161 @ ( sdtasdt0 @ SV24 @ SY160 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY160 ) @ SY161 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY161 @ SV24 )
| ( doDivides0 @ SY161 @ SY160 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[643]) ).
thf(694,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( isPrime0 @ SY163 )
| ! [SY164: $i] :
( ( ( sdtasdt0 @ SV24 @ SY162 )
!= ( sdtasdt0 @ SY163 @ SY164 ) )
| ~ ( aNaturalNumber0 @ SY164 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY162 ) @ SY163 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY163 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( ( SY162
!= ( sdtasdt0 @ SY163 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) ) )
| ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV24 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ( doDivides0 @ SY166 @ SY165 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[644]) ).
thf(695,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV24 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY169 @ SV24 )
| ~ ( ( SY168
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) ) )
| ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV24 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV24 )
| ( doDivides0 @ SY172 @ SY171 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[644]) ).
thf(696,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ~ ( doDivides0 @ SY175 @ ( sdtasdt0 @ SV24 @ SY174 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY175 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( ( SY174
!= ( sdtasdt0 @ SY175 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) ) )
| ~ ! [SY176: $i,SY177: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY176 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( isPrime0 @ SY177 )
| ~ ( doDivides0 @ SY177 @ ( sdtasdt0 @ SV24 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY176 ) @ SY177 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY177 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ( doDivides0 @ SY177 @ SY176 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[645]) ).
thf(697,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( isPrime0 @ SY179 )
| ~ ( doDivides0 @ SY179 @ ( sdtasdt0 @ SV24 @ SY178 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY178 ) @ SY179 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY179 @ SV24 )
| ~ ( ( SY178
!= ( sdtasdt0 @ SY179 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) ) )
| ~ ! [SY180: $i,SY181: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( isPrime0 @ SY181 )
| ~ ( doDivides0 @ SY181 @ ( sdtasdt0 @ SV24 @ SY180 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY180 ) @ SY181 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY181 @ SV24 )
| ( doDivides0 @ SY181 @ SY180 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[645]) ).
thf(698,plain,
! [SV57: $i,SV70: $i] :
( ( ( aNaturalNumber0 @ SV70 )
= $false )
| ( ( aNaturalNumber0 @ SV57 )
= $false )
| ( ( ( ( sdtpldt0 @ SV57 @ SV70 )
!= sz00 )
| ( SV57 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(699,plain,
! [SV58: $i,SV71: $i] :
( ( ( aNaturalNumber0 @ SV71 )
= $false )
| ( ( aNaturalNumber0 @ SV58 )
= $false )
| ( ( ( ( sdtpldt0 @ SV58 @ SV71 )
!= sz00 )
| ( SV71 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(700,plain,
! [SV59: $i,SV72: $i] :
( ( ( aNaturalNumber0 @ SV72 )
= $false )
| ( ( aNaturalNumber0 @ SV59 )
= $false )
| ( ( ( SV72 != SV59 )
| ( sdtlseqdt0 @ SV59 @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(701,plain,
! [SV60: $i,SV73: $i] :
( ( ( aNaturalNumber0 @ SV73 )
= $false )
| ( ( aNaturalNumber0 @ SV60 )
= $false )
| ( ( ( sdtlseqdt0 @ SV73 @ SV60 )
| ( sdtlseqdt0 @ SV60 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(702,plain,
( ( ( sdtpldt0 @ xr @ sK4_W0 )
= xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[650]) ).
thf(703,plain,
( ( aNaturalNumber0 @ sK4_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(704,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sK3_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(705,plain,
( ( aNaturalNumber0 @ sK3_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(706,plain,
! [SV42: $i,SV25: $i] :
( ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( SV25 = SV42 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( ( sdtpldt0 @ SV25 @ SY194 )
!= ( sdtpldt0 @ SV42 @ SY194 ) ) )
| ~ ~ ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) )
| ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) ) )
| ~ ! [SY197: $i] :
( ~ ( aNaturalNumber0 @ SY197 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV25 @ SY197 ) @ ( sdtpldt0 @ SV42 @ SY197 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(707,plain,
! [SV10: $i,SV33: $i] :
( ( ( sdtlseqdt0 @ SV33 @ SV10 )
= $false )
| ( ( sdtlseqdt0 @ SV10 @ SV33 )
= $false )
| ( ( SV10 = SV33 )
= $true )
| ( ( aNaturalNumber0 @ SV10 )
= $false )
| ( ( aNaturalNumber0 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(708,plain,
! [SV45: $i,SV34: $i,SV11: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV11 @ SV34 )
| ~ ( sdtlseqdt0 @ SV34 @ SV45 ) )
= $true )
| ( ( sdtlseqdt0 @ SV11 @ SV45 )
= $true )
| ( ( aNaturalNumber0 @ SV34 )
= $false )
| ( ( aNaturalNumber0 @ SV11 )
= $false )
| ( ( aNaturalNumber0 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(709,plain,
! [SV47: $i,SV37: $i,SV14: $i] :
( ( ( ~ ( doDivides0 @ SV14 @ SV37 )
| ~ ( doDivides0 @ SV37 @ SV47 ) )
= $true )
| ( ( doDivides0 @ SV14 @ SV47 )
= $true )
| ( ( aNaturalNumber0 @ SV37 )
= $false )
| ( ( aNaturalNumber0 @ SV14 )
= $false )
| ( ( aNaturalNumber0 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(710,plain,
! [SV48: $i,SV38: $i,SV15: $i] :
( ( ( ~ ( doDivides0 @ SV15 @ SV38 )
| ~ ( doDivides0 @ SV15 @ SV48 ) )
= $true )
| ( ( doDivides0 @ SV15 @ ( sdtpldt0 @ SV38 @ SV48 ) )
= $true )
| ( ( aNaturalNumber0 @ SV38 )
= $false )
| ( ( aNaturalNumber0 @ SV15 )
= $false )
| ( ( aNaturalNumber0 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(711,plain,
! [SV49: $i,SV39: $i,SV16: $i] :
( ( ( ~ ( doDivides0 @ SV16 @ SV39 )
| ~ ( doDivides0 @ SV16 @ ( sdtpldt0 @ SV39 @ SV49 ) ) )
= $true )
| ( ( doDivides0 @ SV16 @ SV49 )
= $true )
| ( ( aNaturalNumber0 @ SV39 )
= $false )
| ( ( aNaturalNumber0 @ SV16 )
= $false )
| ( ( aNaturalNumber0 @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(712,plain,
! [SV18: $i,SV41: $i,SV85: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV85 )
| ( ( sdtasdt0 @ SV85 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SV85 @ SV41 ) @ SV18 ) ) )
= $true )
| ( ( SV18 = sz00 )
= $true )
| ( ( doDivides0 @ SV18 @ SV41 )
= $false )
| ( ( aNaturalNumber0 @ SV18 )
= $false )
| ( ( aNaturalNumber0 @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(713,plain,
! [SV74: $i,SV65: $i,SV19: $i] :
( ( ( aNaturalNumber0 @ SV19 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV65 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV74 ) )
= $true )
| ( ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SV65 @ SV74 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV65 ) @ ( sdtasdt0 @ SV19 @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(714,plain,
! [SV75: $i,SV66: $i,SV19: $i] :
( ( ( aNaturalNumber0 @ SV19 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV66 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV75 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV66 @ SV75 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV66 @ SV19 ) @ ( sdtasdt0 @ SV75 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(715,plain,
! [SV86: $i] :
( ( ~ ( aNaturalNumber0 @ SV86 )
| ! [SY210: $i] :
( ( xr
!= ( sdtasdt0 @ SV86 @ SY210 ) )
| ~ ( aNaturalNumber0 @ SY210 ) )
| ( SV86 = sz10 )
| ( SV86 = xr ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(716,plain,
! [SV87: $i] :
( ( ~ ( aNaturalNumber0 @ SV87 )
| ~ ( doDivides0 @ SV87 @ xr )
| ( SV87 = sz10 )
| ( SV87 = xr ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(717,plain,
( ( xr = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(718,plain,
( ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(719,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(720,plain,
( ( xm = xp )
= $false ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(721,plain,
( ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(722,plain,
! [SV20: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV20 ) ) )
= $false )
| ( ( SV20 = sz10 )
= $true )
| ( ( SV20 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(723,plain,
! [SV20: $i] :
( ( ( ~ ( doDivides0 @ ( sK1_W1 @ SV20 ) @ SV20 ) )
= $false )
| ( ( SV20 = sz10 )
= $true )
| ( ( SV20 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(724,plain,
! [SV76: $i,SV67: $i,SV21: $i] :
( ( ( aNaturalNumber0 @ SV21 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV67 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV76 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV21 @ SV67 )
!= ( sdtpldt0 @ SV21 @ SV76 ) )
| ( SV67 = SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(725,plain,
! [SV77: $i,SV68: $i,SV21: $i] :
( ( ( aNaturalNumber0 @ SV21 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV68 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV77 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV68 @ SV21 )
!= ( sdtpldt0 @ SV77 @ SV21 ) )
| ( SV68 = SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(726,plain,
! [SV22: $i,SV82: $i,SV79: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV79 )
| ~ ( aNaturalNumber0 @ SV82 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV22 @ SV79 )
!= ( sdtasdt0 @ SV22 @ SV82 ) )
| ( SV79 = SV82 ) )
= $true )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(727,plain,
! [SV22: $i,SV83: $i,SV80: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV80 )
| ~ ( aNaturalNumber0 @ SV83 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV80 @ SV22 )
!= ( sdtasdt0 @ SV83 @ SV22 ) )
| ( SV80 = SV83 ) )
= $true )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(728,plain,
! [SV84: $i,SV81: $i,SV23: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV81 )
| ~ ( aNaturalNumber0 @ SV84 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV81 = SV84 )
| ~ ( sdtlseqdt0 @ SV81 @ SV84 )
| ( ( sdtasdt0 @ SV81 @ SV23 )
!= ( sdtasdt0 @ SV84 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(729,plain,
! [SV23: $i] :
( ( ! [SY136: $i,SY137: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY136 )
| ~ ( aNaturalNumber0 @ SY137 )
| ( SV23 = sz00 )
| ( SY136 = SY137 )
| ~ ( sdtlseqdt0 @ SY136 @ SY137 )
| ( ( sdtasdt0 @ SV23 @ SY136 )
!= ( sdtasdt0 @ SV23 @ SY137 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[687]) ).
thf(730,plain,
! [SV23: $i] :
( ( ! [SY138: $i,SY139: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SY138 )
| ~ ( aNaturalNumber0 @ SY139 )
| ( SV23 = sz00 )
| ( SY138 = SY139 )
| ~ ( sdtlseqdt0 @ SY138 @ SY139 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SY138 ) @ ( sdtasdt0 @ SV23 @ SY139 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[688]) ).
thf(731,plain,
! [SV78: $i,SV69: $i,SV23: $i] :
( ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV69 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV78 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV69 = SV78 )
| ~ ( sdtlseqdt0 @ SV69 @ SV78 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV69 @ SV23 ) @ ( sdtasdt0 @ SV78 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(732,plain,
! [SV24: $i] :
( ( ~ ( ~ ! [SY142: $i,SY143: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY142 )
| ~ ( aNaturalNumber0 @ SY143 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY143
!= ( sdtasdt0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ SY143 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= SY143 ) ) ) )
| ( SY143 = sz00 )
| ( SY143 = sz10 )
| ! [SY144: $i] :
( ( ( sdtasdt0 @ SV24 @ SY142 )
!= ( sdtasdt0 @ SY143 @ SY144 ) )
| ~ ( aNaturalNumber0 @ SY144 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY142 ) @ SY143 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY143 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( ( SY142
!= ( sdtasdt0 @ SY143 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV24 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY146 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ( doDivides0 @ SY146 @ SY145 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(733,plain,
! [SV24: $i] :
( ( ~ ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV24 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY149 @ SV24 )
| ~ ( ( SY148
!= ( sdtasdt0 @ SY149 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) ) )
| ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV24 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV24 )
| ( doDivides0 @ SY152 @ SY151 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[691]) ).
thf(734,plain,
! [SV24: $i] :
( ( ~ ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ~ ( doDivides0 @ SY155 @ ( sdtasdt0 @ SV24 @ SY154 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY155 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( ( SY154
!= ( sdtasdt0 @ SY155 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) ) )
| ~ ! [SY156: $i,SY157: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY156 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY157
!= ( sdtasdt0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ SY157 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= SY157 ) ) ) )
| ( SY157 = sz00 )
| ( SY157 = sz10 )
| ~ ( doDivides0 @ SY157 @ ( sdtasdt0 @ SV24 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY156 ) @ SY157 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY157 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ( doDivides0 @ SY157 @ SY156 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[692]) ).
thf(735,plain,
! [SV24: $i] :
( ( ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY159
!= ( sdtasdt0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ SY159 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= SY159 ) ) ) )
| ( SY159 = sz00 )
| ( SY159 = sz10 )
| ~ ( doDivides0 @ SY159 @ ( sdtasdt0 @ SV24 @ SY158 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY158 ) @ SY159 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY159 @ SV24 )
| ~ ( ( SY158
!= ( sdtasdt0 @ SY159 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) ) )
| ~ ! [SY160: $i,SY161: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY161
!= ( sdtasdt0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ SY161 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= SY161 ) ) ) )
| ( SY161 = sz00 )
| ( SY161 = sz10 )
| ~ ( doDivides0 @ SY161 @ ( sdtasdt0 @ SV24 @ SY160 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY160 ) @ SY161 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY161 @ SV24 )
| ( doDivides0 @ SY161 @ SY160 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(736,plain,
! [SV24: $i] :
( ( ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( isPrime0 @ SY163 )
| ! [SY164: $i] :
( ( ( sdtasdt0 @ SV24 @ SY162 )
!= ( sdtasdt0 @ SY163 @ SY164 ) )
| ~ ( aNaturalNumber0 @ SY164 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY162 ) @ SY163 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY163 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( ( SY162
!= ( sdtasdt0 @ SY163 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) ) )
| ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV24 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ( doDivides0 @ SY166 @ SY165 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(737,plain,
! [SV24: $i] :
( ( ~ ( ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV24 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY169 @ SV24 )
| ~ ( ( SY168
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) ) )
| ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV24 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV24 )
| ( doDivides0 @ SY172 @ SY171 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[695]) ).
thf(738,plain,
! [SV24: $i] :
( ( ~ ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ~ ( doDivides0 @ SY175 @ ( sdtasdt0 @ SV24 @ SY174 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY175 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( ( SY174
!= ( sdtasdt0 @ SY175 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) ) )
| ~ ! [SY176: $i,SY177: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY176 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( isPrime0 @ SY177 )
| ~ ( doDivides0 @ SY177 @ ( sdtasdt0 @ SV24 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY176 ) @ SY177 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY177 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ( doDivides0 @ SY177 @ SY176 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[696]) ).
thf(739,plain,
! [SV24: $i] :
( ( ~ ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( isPrime0 @ SY179 )
| ~ ( doDivides0 @ SY179 @ ( sdtasdt0 @ SV24 @ SY178 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY178 ) @ SY179 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY179 @ SV24 )
| ~ ( ( SY178
!= ( sdtasdt0 @ SY179 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) ) )
| ~ ! [SY180: $i,SY181: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( isPrime0 @ SY181 )
| ~ ( doDivides0 @ SY181 @ ( sdtasdt0 @ SV24 @ SY180 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY180 ) @ SY181 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY181 @ SV24 )
| ( doDivides0 @ SY181 @ SY180 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[697]) ).
thf(740,plain,
! [SV70: $i,SV57: $i] :
( ( ( ( ( sdtpldt0 @ SV57 @ SV70 )
!= sz00 ) )
= $true )
| ( ( SV57 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV57 )
= $false )
| ( ( aNaturalNumber0 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[698]) ).
thf(741,plain,
! [SV71: $i,SV58: $i] :
( ( ( ( ( sdtpldt0 @ SV58 @ SV71 )
!= sz00 ) )
= $true )
| ( ( SV71 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV58 )
= $false )
| ( ( aNaturalNumber0 @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(742,plain,
! [SV59: $i,SV72: $i] :
( ( ( ( SV72 != SV59 ) )
= $true )
| ( ( sdtlseqdt0 @ SV59 @ SV72 )
= $true )
| ( ( aNaturalNumber0 @ SV59 )
= $false )
| ( ( aNaturalNumber0 @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[700]) ).
thf(743,plain,
! [SV60: $i,SV73: $i] :
( ( ( sdtlseqdt0 @ SV73 @ SV60 )
= $true )
| ( ( sdtlseqdt0 @ SV60 @ SV73 )
= $true )
| ( ( aNaturalNumber0 @ SV60 )
= $false )
| ( ( aNaturalNumber0 @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(744,plain,
! [SV42: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( ( sdtpldt0 @ SV25 @ SY194 )
!= ( sdtpldt0 @ SV42 @ SY194 ) ) )
| ~ ~ ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) )
| ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) ) )
| ~ ! [SY197: $i] :
( ~ ( aNaturalNumber0 @ SY197 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV25 @ SY197 ) @ ( sdtpldt0 @ SV42 @ SY197 ) ) ) )
= $false )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(745,plain,
! [SV45: $i,SV34: $i,SV11: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV11 @ SV34 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV34 @ SV45 ) )
= $true )
| ( ( sdtlseqdt0 @ SV11 @ SV45 )
= $true )
| ( ( aNaturalNumber0 @ SV34 )
= $false )
| ( ( aNaturalNumber0 @ SV11 )
= $false )
| ( ( aNaturalNumber0 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(746,plain,
! [SV47: $i,SV37: $i,SV14: $i] :
( ( ( ~ ( doDivides0 @ SV14 @ SV37 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV37 @ SV47 ) )
= $true )
| ( ( doDivides0 @ SV14 @ SV47 )
= $true )
| ( ( aNaturalNumber0 @ SV37 )
= $false )
| ( ( aNaturalNumber0 @ SV14 )
= $false )
| ( ( aNaturalNumber0 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(747,plain,
! [SV48: $i,SV38: $i,SV15: $i] :
( ( ( ~ ( doDivides0 @ SV15 @ SV38 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV15 @ SV48 ) )
= $true )
| ( ( doDivides0 @ SV15 @ ( sdtpldt0 @ SV38 @ SV48 ) )
= $true )
| ( ( aNaturalNumber0 @ SV38 )
= $false )
| ( ( aNaturalNumber0 @ SV15 )
= $false )
| ( ( aNaturalNumber0 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(748,plain,
! [SV49: $i,SV39: $i,SV16: $i] :
( ( ( ~ ( doDivides0 @ SV16 @ SV39 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV16 @ ( sdtpldt0 @ SV39 @ SV49 ) ) )
= $true )
| ( ( doDivides0 @ SV16 @ SV49 )
= $true )
| ( ( aNaturalNumber0 @ SV39 )
= $false )
| ( ( aNaturalNumber0 @ SV16 )
= $false )
| ( ( aNaturalNumber0 @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(749,plain,
! [SV18: $i,SV41: $i,SV85: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV85 ) )
= $true )
| ( ( ( sdtasdt0 @ SV85 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SV85 @ SV41 ) @ SV18 ) )
= $true )
| ( ( SV18 = sz00 )
= $true )
| ( ( doDivides0 @ SV18 @ SV41 )
= $false )
| ( ( aNaturalNumber0 @ SV18 )
= $false )
| ( ( aNaturalNumber0 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[712]) ).
thf(750,plain,
! [SV74: $i,SV19: $i,SV65: $i] :
( ( ( aNaturalNumber0 @ SV65 )
= $false )
| ( ( aNaturalNumber0 @ SV19 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV74 ) )
= $true )
| ( ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SV65 @ SV74 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV65 ) @ ( sdtasdt0 @ SV19 @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(751,plain,
! [SV75: $i,SV19: $i,SV66: $i] :
( ( ( aNaturalNumber0 @ SV66 )
= $false )
| ( ( aNaturalNumber0 @ SV19 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV75 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV66 @ SV75 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV66 @ SV19 ) @ ( sdtasdt0 @ SV75 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(752,plain,
! [SV86: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV86 )
| ! [SY210: $i] :
( ( xr
!= ( sdtasdt0 @ SV86 @ SY210 ) )
| ~ ( aNaturalNumber0 @ SY210 ) ) )
= $true )
| ( ( ( SV86 = sz10 )
| ( SV86 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(753,plain,
! [SV87: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV87 )
| ~ ( doDivides0 @ SV87 @ xr ) )
= $true )
| ( ( ( SV87 = sz10 )
| ( SV87 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(754,plain,
( ( ~ ( ( xr != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(755,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(756,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(757,plain,
( ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(758,plain,
( ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(759,plain,
( ( ~ ( sdtlseqdt0 @ xn @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(760,plain,
! [SV20: $i] :
( ( ( aNaturalNumber0 @ ( sK1_W1 @ SV20 ) )
= $true )
| ( ( SV20 = sz10 )
= $true )
| ( ( SV20 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[722]) ).
thf(761,plain,
! [SV20: $i] :
( ( ( doDivides0 @ ( sK1_W1 @ SV20 ) @ SV20 )
= $true )
| ( ( SV20 = sz10 )
= $true )
| ( ( SV20 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[723]) ).
thf(762,plain,
! [SV76: $i,SV21: $i,SV67: $i] :
( ( ( aNaturalNumber0 @ SV67 )
= $false )
| ( ( aNaturalNumber0 @ SV21 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV76 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV21 @ SV67 )
!= ( sdtpldt0 @ SV21 @ SV76 ) )
| ( SV67 = SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(763,plain,
! [SV77: $i,SV21: $i,SV68: $i] :
( ( ( aNaturalNumber0 @ SV68 )
= $false )
| ( ( aNaturalNumber0 @ SV21 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV77 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV68 @ SV21 )
!= ( sdtpldt0 @ SV77 @ SV21 ) )
| ( SV68 = SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(764,plain,
! [SV22: $i,SV82: $i,SV79: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV79 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV82 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV22 @ SV79 )
!= ( sdtasdt0 @ SV22 @ SV82 ) )
| ( SV79 = SV82 ) )
= $true )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[726]) ).
thf(765,plain,
! [SV22: $i,SV83: $i,SV80: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV80 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV83 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV80 @ SV22 )
!= ( sdtasdt0 @ SV83 @ SV22 ) )
| ( SV80 = SV83 ) )
= $true )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[727]) ).
thf(766,plain,
! [SV84: $i,SV81: $i,SV23: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV81 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV84 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV81 = SV84 )
| ~ ( sdtlseqdt0 @ SV81 @ SV84 )
| ( ( sdtasdt0 @ SV81 @ SV23 )
!= ( sdtasdt0 @ SV84 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[728]) ).
thf(767,plain,
! [SV88: $i,SV23: $i] :
( ( ! [SY211: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV88 )
| ~ ( aNaturalNumber0 @ SY211 )
| ( SV23 = sz00 )
| ( SV88 = SY211 )
| ~ ( sdtlseqdt0 @ SV88 @ SY211 )
| ( ( sdtasdt0 @ SV23 @ SV88 )
!= ( sdtasdt0 @ SV23 @ SY211 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(768,plain,
! [SV89: $i,SV23: $i] :
( ( ! [SY212: $i] :
( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV89 )
| ~ ( aNaturalNumber0 @ SY212 )
| ( SV23 = sz00 )
| ( SV89 = SY212 )
| ~ ( sdtlseqdt0 @ SV89 @ SY212 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SV89 ) @ ( sdtasdt0 @ SV23 @ SY212 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(769,plain,
! [SV78: $i,SV23: $i,SV69: $i] :
( ( ( aNaturalNumber0 @ SV69 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV78 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV69 = SV78 )
| ~ ( sdtlseqdt0 @ SV69 @ SV78 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV69 @ SV23 ) @ ( sdtasdt0 @ SV78 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(770,plain,
! [SV24: $i] :
( ( ~ ! [SY142: $i,SY143: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY142 )
| ~ ( aNaturalNumber0 @ SY143 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY143
!= ( sdtasdt0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ SY143 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= SY143 ) ) ) )
| ( SY143 = sz00 )
| ( SY143 = sz10 )
| ! [SY144: $i] :
( ( ( sdtasdt0 @ SV24 @ SY142 )
!= ( sdtasdt0 @ SY143 @ SY144 ) )
| ~ ( aNaturalNumber0 @ SY144 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY142 ) @ SY143 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY143 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( ( SY142
!= ( sdtasdt0 @ SY143 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV24 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY146 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ( doDivides0 @ SY146 @ SY145 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(771,plain,
! [SV24: $i] :
( ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV24 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY149 @ SV24 )
| ~ ( ( SY148
!= ( sdtasdt0 @ SY149 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) ) )
| ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV24 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV24 )
| ( doDivides0 @ SY152 @ SY151 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(772,plain,
! [SV24: $i] :
( ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ~ ( doDivides0 @ SY155 @ ( sdtasdt0 @ SV24 @ SY154 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY155 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( ( SY154
!= ( sdtasdt0 @ SY155 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) ) )
| ~ ! [SY156: $i,SY157: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY156 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY157
!= ( sdtasdt0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ SY157 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= SY157 ) ) ) )
| ( SY157 = sz00 )
| ( SY157 = sz10 )
| ~ ( doDivides0 @ SY157 @ ( sdtasdt0 @ SV24 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY156 ) @ SY157 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY157 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ( doDivides0 @ SY157 @ SY156 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(773,plain,
! [SV24: $i] :
( ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY159
!= ( sdtasdt0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ SY159 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= SY159 ) ) ) )
| ( SY159 = sz00 )
| ( SY159 = sz10 )
| ~ ( doDivides0 @ SY159 @ ( sdtasdt0 @ SV24 @ SY158 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY158 ) @ SY159 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY159 @ SV24 )
| ~ ( ( SY158
!= ( sdtasdt0 @ SY159 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) ) )
| ~ ! [SY160: $i,SY161: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY161
!= ( sdtasdt0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ SY161 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= SY161 ) ) ) )
| ( SY161 = sz00 )
| ( SY161 = sz10 )
| ~ ( doDivides0 @ SY161 @ ( sdtasdt0 @ SV24 @ SY160 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY160 ) @ SY161 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY161 @ SV24 )
| ( doDivides0 @ SY161 @ SY160 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(774,plain,
! [SV24: $i] :
( ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( isPrime0 @ SY163 )
| ! [SY164: $i] :
( ( ( sdtasdt0 @ SV24 @ SY162 )
!= ( sdtasdt0 @ SY163 @ SY164 ) )
| ~ ( aNaturalNumber0 @ SY164 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY162 ) @ SY163 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY163 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( ( SY162
!= ( sdtasdt0 @ SY163 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) ) )
| ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV24 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ( doDivides0 @ SY166 @ SY165 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(775,plain,
! [SV24: $i] :
( ( ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV24 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY169 @ SV24 )
| ~ ( ( SY168
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) ) )
| ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV24 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV24 )
| ( doDivides0 @ SY172 @ SY171 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(776,plain,
! [SV24: $i] :
( ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ~ ( doDivides0 @ SY175 @ ( sdtasdt0 @ SV24 @ SY174 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY175 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( ( SY174
!= ( sdtasdt0 @ SY175 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) ) )
| ~ ! [SY176: $i,SY177: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY176 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( isPrime0 @ SY177 )
| ~ ( doDivides0 @ SY177 @ ( sdtasdt0 @ SV24 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY176 ) @ SY177 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY177 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ( doDivides0 @ SY177 @ SY176 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(777,plain,
! [SV24: $i] :
( ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( isPrime0 @ SY179 )
| ~ ( doDivides0 @ SY179 @ ( sdtasdt0 @ SV24 @ SY178 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY178 ) @ SY179 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY179 @ SV24 )
| ~ ( ( SY178
!= ( sdtasdt0 @ SY179 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) ) )
| ~ ! [SY180: $i,SY181: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( isPrime0 @ SY181 )
| ~ ( doDivides0 @ SY181 @ ( sdtasdt0 @ SV24 @ SY180 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY180 ) @ SY181 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY181 @ SV24 )
| ( doDivides0 @ SY181 @ SY180 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(778,plain,
! [SV70: $i,SV57: $i] :
( ( ( ( sdtpldt0 @ SV57 @ SV70 )
= sz00 )
= $false )
| ( ( SV57 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV57 )
= $false )
| ( ( aNaturalNumber0 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(779,plain,
! [SV71: $i,SV58: $i] :
( ( ( ( sdtpldt0 @ SV58 @ SV71 )
= sz00 )
= $false )
| ( ( SV71 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV58 )
= $false )
| ( ( aNaturalNumber0 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(780,plain,
! [SV59: $i,SV72: $i] :
( ( ( SV72 = SV59 )
= $false )
| ( ( sdtlseqdt0 @ SV59 @ SV72 )
= $true )
| ( ( aNaturalNumber0 @ SV59 )
= $false )
| ( ( aNaturalNumber0 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(781,plain,
! [SV42: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( ( sdtpldt0 @ SV25 @ SY194 )
!= ( sdtpldt0 @ SV42 @ SY194 ) ) )
| ~ ~ ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) )
| ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) ) ) )
= $false )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[744]) ).
thf(782,plain,
! [SV42: $i,SV25: $i] :
( ( ( ~ ! [SY197: $i] :
( ~ ( aNaturalNumber0 @ SY197 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV25 @ SY197 ) @ ( sdtpldt0 @ SV42 @ SY197 ) ) ) )
= $false )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[744]) ).
thf(783,plain,
! [SV45: $i,SV34: $i,SV11: $i] :
( ( ( sdtlseqdt0 @ SV11 @ SV34 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV34 @ SV45 ) )
= $true )
| ( ( sdtlseqdt0 @ SV11 @ SV45 )
= $true )
| ( ( aNaturalNumber0 @ SV34 )
= $false )
| ( ( aNaturalNumber0 @ SV11 )
= $false )
| ( ( aNaturalNumber0 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(784,plain,
! [SV47: $i,SV37: $i,SV14: $i] :
( ( ( doDivides0 @ SV14 @ SV37 )
= $false )
| ( ( ~ ( doDivides0 @ SV37 @ SV47 ) )
= $true )
| ( ( doDivides0 @ SV14 @ SV47 )
= $true )
| ( ( aNaturalNumber0 @ SV37 )
= $false )
| ( ( aNaturalNumber0 @ SV14 )
= $false )
| ( ( aNaturalNumber0 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(785,plain,
! [SV48: $i,SV38: $i,SV15: $i] :
( ( ( doDivides0 @ SV15 @ SV38 )
= $false )
| ( ( ~ ( doDivides0 @ SV15 @ SV48 ) )
= $true )
| ( ( doDivides0 @ SV15 @ ( sdtpldt0 @ SV38 @ SV48 ) )
= $true )
| ( ( aNaturalNumber0 @ SV38 )
= $false )
| ( ( aNaturalNumber0 @ SV15 )
= $false )
| ( ( aNaturalNumber0 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(786,plain,
! [SV49: $i,SV39: $i,SV16: $i] :
( ( ( doDivides0 @ SV16 @ SV39 )
= $false )
| ( ( ~ ( doDivides0 @ SV16 @ ( sdtpldt0 @ SV39 @ SV49 ) ) )
= $true )
| ( ( doDivides0 @ SV16 @ SV49 )
= $true )
| ( ( aNaturalNumber0 @ SV39 )
= $false )
| ( ( aNaturalNumber0 @ SV16 )
= $false )
| ( ( aNaturalNumber0 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(787,plain,
! [SV18: $i,SV41: $i,SV85: $i] :
( ( ( aNaturalNumber0 @ SV85 )
= $false )
| ( ( ( sdtasdt0 @ SV85 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SV85 @ SV41 ) @ SV18 ) )
= $true )
| ( ( SV18 = sz00 )
= $true )
| ( ( doDivides0 @ SV18 @ SV41 )
= $false )
| ( ( aNaturalNumber0 @ SV18 )
= $false )
| ( ( aNaturalNumber0 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(788,plain,
! [SV65: $i,SV19: $i,SV74: $i] :
( ( ( aNaturalNumber0 @ SV74 )
= $false )
| ( ( aNaturalNumber0 @ SV19 )
= $false )
| ( ( aNaturalNumber0 @ SV65 )
= $false )
| ( ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SV65 @ SV74 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV65 ) @ ( sdtasdt0 @ SV19 @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(789,plain,
! [SV66: $i,SV19: $i,SV75: $i] :
( ( ( aNaturalNumber0 @ SV75 )
= $false )
| ( ( aNaturalNumber0 @ SV19 )
= $false )
| ( ( aNaturalNumber0 @ SV66 )
= $false )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV66 @ SV75 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV66 @ SV19 ) @ ( sdtasdt0 @ SV75 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(790,plain,
! [SV86: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV86 ) )
= $true )
| ( ( ! [SY210: $i] :
( ( xr
!= ( sdtasdt0 @ SV86 @ SY210 ) )
| ~ ( aNaturalNumber0 @ SY210 ) ) )
= $true )
| ( ( ( SV86 = sz10 )
| ( SV86 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(791,plain,
! [SV87: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV87 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV87 @ xr ) )
= $true )
| ( ( ( SV87 = sz10 )
| ( SV87 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(792,plain,
( ( ( xr != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(793,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[755]) ).
thf(794,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(795,plain,
( ( ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(796,plain,
( ( ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(797,plain,
( ( sdtlseqdt0 @ xn @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[759]) ).
thf(798,plain,
! [SV67: $i,SV21: $i,SV76: $i] :
( ( ( aNaturalNumber0 @ SV76 )
= $false )
| ( ( aNaturalNumber0 @ SV21 )
= $false )
| ( ( aNaturalNumber0 @ SV67 )
= $false )
| ( ( ( ( sdtpldt0 @ SV21 @ SV67 )
!= ( sdtpldt0 @ SV21 @ SV76 ) )
| ( SV67 = SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(799,plain,
! [SV68: $i,SV21: $i,SV77: $i] :
( ( ( aNaturalNumber0 @ SV77 )
= $false )
| ( ( aNaturalNumber0 @ SV21 )
= $false )
| ( ( aNaturalNumber0 @ SV68 )
= $false )
| ( ( ( ( sdtpldt0 @ SV68 @ SV21 )
!= ( sdtpldt0 @ SV77 @ SV21 ) )
| ( SV68 = SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(800,plain,
! [SV22: $i,SV82: $i,SV79: $i] :
( ( ( aNaturalNumber0 @ SV79 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV82 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV22 @ SV79 )
!= ( sdtasdt0 @ SV22 @ SV82 ) )
| ( SV79 = SV82 ) )
= $true )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(801,plain,
! [SV22: $i,SV83: $i,SV80: $i] :
( ( ( aNaturalNumber0 @ SV80 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV83 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV80 @ SV22 )
!= ( sdtasdt0 @ SV83 @ SV22 ) )
| ( SV80 = SV83 ) )
= $true )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(802,plain,
! [SV84: $i,SV81: $i,SV23: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV23 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV81 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV84 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV81 = SV84 )
| ~ ( sdtlseqdt0 @ SV81 @ SV84 )
| ( ( sdtasdt0 @ SV81 @ SV23 )
!= ( sdtasdt0 @ SV84 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(803,plain,
! [SV90: $i,SV88: $i,SV23: $i] :
( ( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV88 )
| ~ ( aNaturalNumber0 @ SV90 )
| ( SV23 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 )
| ( ( sdtasdt0 @ SV23 @ SV88 )
!= ( sdtasdt0 @ SV23 @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(804,plain,
! [SV91: $i,SV89: $i,SV23: $i] :
( ( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV89 )
| ~ ( aNaturalNumber0 @ SV91 )
| ( SV23 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SV89 ) @ ( sdtasdt0 @ SV23 @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(805,plain,
! [SV69: $i,SV23: $i,SV78: $i] :
( ( ( aNaturalNumber0 @ SV78 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV69 )
= $false )
| ( ( ( SV23 = sz00 )
| ( SV69 = SV78 )
| ~ ( sdtlseqdt0 @ SV69 @ SV78 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV69 @ SV23 ) @ ( sdtasdt0 @ SV78 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(806,plain,
! [SV24: $i] :
( ( ~ ! [SY142: $i,SY143: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY142 )
| ~ ( aNaturalNumber0 @ SY143 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY143
!= ( sdtasdt0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ SY143 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= SY143 ) ) ) )
| ( SY143 = sz00 )
| ( SY143 = sz10 )
| ! [SY144: $i] :
( ( ( sdtasdt0 @ SV24 @ SY142 )
!= ( sdtasdt0 @ SY143 @ SY144 ) )
| ~ ( aNaturalNumber0 @ SY144 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY142 ) @ SY143 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY143 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( ( SY142
!= ( sdtasdt0 @ SY143 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(807,plain,
! [SV24: $i] :
( ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV24 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY146 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ( doDivides0 @ SY146 @ SY145 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(808,plain,
! [SV24: $i] :
( ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV24 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY149 @ SV24 )
| ~ ( ( SY148
!= ( sdtasdt0 @ SY149 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(809,plain,
! [SV24: $i] :
( ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV24 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV24 )
| ( doDivides0 @ SY152 @ SY151 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(810,plain,
! [SV24: $i] :
( ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ~ ( doDivides0 @ SY155 @ ( sdtasdt0 @ SV24 @ SY154 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY155 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( ( SY154
!= ( sdtasdt0 @ SY155 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(811,plain,
! [SV24: $i] :
( ( ~ ! [SY156: $i,SY157: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY156 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY157
!= ( sdtasdt0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ SY157 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= SY157 ) ) ) )
| ( SY157 = sz00 )
| ( SY157 = sz10 )
| ~ ( doDivides0 @ SY157 @ ( sdtasdt0 @ SV24 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY156 ) @ SY157 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY157 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ( doDivides0 @ SY157 @ SY156 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(812,plain,
! [SV24: $i] :
( ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY159
!= ( sdtasdt0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ SY159 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= SY159 ) ) ) )
| ( SY159 = sz00 )
| ( SY159 = sz10 )
| ~ ( doDivides0 @ SY159 @ ( sdtasdt0 @ SV24 @ SY158 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY158 ) @ SY159 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY159 @ SV24 )
| ~ ( ( SY158
!= ( sdtasdt0 @ SY159 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[773]) ).
thf(813,plain,
! [SV24: $i] :
( ( ~ ! [SY160: $i,SY161: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY161
!= ( sdtasdt0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ SY161 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= SY161 ) ) ) )
| ( SY161 = sz00 )
| ( SY161 = sz10 )
| ~ ( doDivides0 @ SY161 @ ( sdtasdt0 @ SV24 @ SY160 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY160 ) @ SY161 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY161 @ SV24 )
| ( doDivides0 @ SY161 @ SY160 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[773]) ).
thf(814,plain,
! [SV24: $i] :
( ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( isPrime0 @ SY163 )
| ! [SY164: $i] :
( ( ( sdtasdt0 @ SV24 @ SY162 )
!= ( sdtasdt0 @ SY163 @ SY164 ) )
| ~ ( aNaturalNumber0 @ SY164 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY162 ) @ SY163 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY163 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( ( SY162
!= ( sdtasdt0 @ SY163 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(815,plain,
! [SV24: $i] :
( ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV24 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ( doDivides0 @ SY166 @ SY165 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[774]) ).
thf(816,plain,
! [SV24: $i] :
( ( ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV24 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY169 @ SV24 )
| ~ ( ( SY168
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[775]) ).
thf(817,plain,
! [SV24: $i] :
( ( ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV24 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV24 )
| ( doDivides0 @ SY172 @ SY171 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[775]) ).
thf(818,plain,
! [SV24: $i] :
( ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ~ ( doDivides0 @ SY175 @ ( sdtasdt0 @ SV24 @ SY174 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY175 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( ( SY174
!= ( sdtasdt0 @ SY175 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(819,plain,
! [SV24: $i] :
( ( ~ ! [SY176: $i,SY177: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY176 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( isPrime0 @ SY177 )
| ~ ( doDivides0 @ SY177 @ ( sdtasdt0 @ SV24 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY176 ) @ SY177 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY177 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ( doDivides0 @ SY177 @ SY176 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(820,plain,
! [SV24: $i] :
( ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( isPrime0 @ SY179 )
| ~ ( doDivides0 @ SY179 @ ( sdtasdt0 @ SV24 @ SY178 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY178 ) @ SY179 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY179 @ SV24 )
| ~ ( ( SY178
!= ( sdtasdt0 @ SY179 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[777]) ).
thf(821,plain,
! [SV24: $i] :
( ( ~ ! [SY180: $i,SY181: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( isPrime0 @ SY181 )
| ~ ( doDivides0 @ SY181 @ ( sdtasdt0 @ SV24 @ SY180 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY180 ) @ SY181 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY181 @ SV24 )
| ( doDivides0 @ SY181 @ SY180 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[777]) ).
thf(822,plain,
! [SV42: $i,SV25: $i] :
( ( ( ~ ( ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( ( sdtpldt0 @ SV25 @ SY194 )
!= ( sdtpldt0 @ SV42 @ SY194 ) ) )
| ~ ~ ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) )
| ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) ) ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[781]) ).
thf(823,plain,
! [SV42: $i,SV25: $i] :
( ( ( ! [SY197: $i] :
( ~ ( aNaturalNumber0 @ SY197 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV25 @ SY197 ) @ ( sdtpldt0 @ SV42 @ SY197 ) ) ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(824,plain,
! [SV11: $i,SV45: $i,SV34: $i] :
( ( ( sdtlseqdt0 @ SV34 @ SV45 )
= $false )
| ( ( sdtlseqdt0 @ SV11 @ SV34 )
= $false )
| ( ( sdtlseqdt0 @ SV11 @ SV45 )
= $true )
| ( ( aNaturalNumber0 @ SV34 )
= $false )
| ( ( aNaturalNumber0 @ SV11 )
= $false )
| ( ( aNaturalNumber0 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(825,plain,
! [SV14: $i,SV47: $i,SV37: $i] :
( ( ( doDivides0 @ SV37 @ SV47 )
= $false )
| ( ( doDivides0 @ SV14 @ SV37 )
= $false )
| ( ( doDivides0 @ SV14 @ SV47 )
= $true )
| ( ( aNaturalNumber0 @ SV37 )
= $false )
| ( ( aNaturalNumber0 @ SV14 )
= $false )
| ( ( aNaturalNumber0 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(826,plain,
! [SV38: $i,SV48: $i,SV15: $i] :
( ( ( doDivides0 @ SV15 @ SV48 )
= $false )
| ( ( doDivides0 @ SV15 @ SV38 )
= $false )
| ( ( doDivides0 @ SV15 @ ( sdtpldt0 @ SV38 @ SV48 ) )
= $true )
| ( ( aNaturalNumber0 @ SV38 )
= $false )
| ( ( aNaturalNumber0 @ SV15 )
= $false )
| ( ( aNaturalNumber0 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(827,plain,
! [SV49: $i,SV39: $i,SV16: $i] :
( ( ( doDivides0 @ SV16 @ ( sdtpldt0 @ SV39 @ SV49 ) )
= $false )
| ( ( doDivides0 @ SV16 @ SV39 )
= $false )
| ( ( doDivides0 @ SV16 @ SV49 )
= $true )
| ( ( aNaturalNumber0 @ SV39 )
= $false )
| ( ( aNaturalNumber0 @ SV16 )
= $false )
| ( ( aNaturalNumber0 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(828,plain,
! [SV86: $i] :
( ( ( aNaturalNumber0 @ SV86 )
= $false )
| ( ( ! [SY210: $i] :
( ( xr
!= ( sdtasdt0 @ SV86 @ SY210 ) )
| ~ ( aNaturalNumber0 @ SY210 ) ) )
= $true )
| ( ( ( SV86 = sz10 )
| ( SV86 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(829,plain,
! [SV87: $i] :
( ( ( aNaturalNumber0 @ SV87 )
= $false )
| ( ( ~ ( doDivides0 @ SV87 @ xr ) )
= $true )
| ( ( ( SV87 = sz10 )
| ( SV87 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(830,plain,
( ( xr = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(831,plain,
( ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(832,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(833,plain,
( ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(834,plain,
( ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(835,plain,
! [SV76: $i,SV67: $i,SV21: $i] :
( ( ( ( ( sdtpldt0 @ SV21 @ SV67 )
!= ( sdtpldt0 @ SV21 @ SV76 ) ) )
= $true )
| ( ( SV67 = SV76 )
= $true )
| ( ( aNaturalNumber0 @ SV67 )
= $false )
| ( ( aNaturalNumber0 @ SV21 )
= $false )
| ( ( aNaturalNumber0 @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[798]) ).
thf(836,plain,
! [SV77: $i,SV21: $i,SV68: $i] :
( ( ( ( ( sdtpldt0 @ SV68 @ SV21 )
!= ( sdtpldt0 @ SV77 @ SV21 ) ) )
= $true )
| ( ( SV68 = SV77 )
= $true )
| ( ( aNaturalNumber0 @ SV68 )
= $false )
| ( ( aNaturalNumber0 @ SV21 )
= $false )
| ( ( aNaturalNumber0 @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(837,plain,
! [SV22: $i,SV79: $i,SV82: $i] :
( ( ( aNaturalNumber0 @ SV82 )
= $false )
| ( ( aNaturalNumber0 @ SV79 )
= $false )
| ( ( ( ( sdtasdt0 @ SV22 @ SV79 )
!= ( sdtasdt0 @ SV22 @ SV82 ) )
| ( SV79 = SV82 ) )
= $true )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(838,plain,
! [SV22: $i,SV80: $i,SV83: $i] :
( ( ( aNaturalNumber0 @ SV83 )
= $false )
| ( ( aNaturalNumber0 @ SV80 )
= $false )
| ( ( ( ( sdtasdt0 @ SV80 @ SV22 )
!= ( sdtasdt0 @ SV83 @ SV22 ) )
| ( SV80 = SV83 ) )
= $true )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(839,plain,
! [SV84: $i,SV81: $i,SV23: $i] :
( ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV81 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV84 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV81 = SV84 )
| ~ ( sdtlseqdt0 @ SV81 @ SV84 )
| ( ( sdtasdt0 @ SV81 @ SV23 )
!= ( sdtasdt0 @ SV84 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(840,plain,
! [SV90: $i,SV88: $i,SV23: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV88 )
| ~ ( aNaturalNumber0 @ SV90 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 )
| ( ( sdtasdt0 @ SV23 @ SV88 )
!= ( sdtasdt0 @ SV23 @ SV90 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[803]) ).
thf(841,plain,
! [SV91: $i,SV89: $i,SV23: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV89 )
| ~ ( aNaturalNumber0 @ SV91 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SV89 ) @ ( sdtasdt0 @ SV23 @ SV91 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[804]) ).
thf(842,plain,
! [SV78: $i,SV69: $i,SV23: $i] :
( ( ( ( SV23 = sz00 )
| ( SV69 = SV78 )
| ~ ( sdtlseqdt0 @ SV69 @ SV78 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV69 @ SV23 ) @ ( sdtasdt0 @ SV78 @ SV23 ) )
= $true )
| ( ( aNaturalNumber0 @ SV69 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(843,plain,
! [SV24: $i] :
( ( ! [SY142: $i,SY143: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY142 )
| ~ ( aNaturalNumber0 @ SY143 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY143
!= ( sdtasdt0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY143 @ SY142 @ SV24 ) @ SY143 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY143 @ SY142 @ SV24 )
!= SY143 ) ) ) )
| ( SY143 = sz00 )
| ( SY143 = sz10 )
| ! [SY144: $i] :
( ( ( sdtasdt0 @ SV24 @ SY142 )
!= ( sdtasdt0 @ SY143 @ SY144 ) )
| ~ ( aNaturalNumber0 @ SY144 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY142 ) @ SY143 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY143 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( ( SY142
!= ( sdtasdt0 @ SY143 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY143 @ SY142 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[806]) ).
thf(844,plain,
! [SV24: $i] :
( ( ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY146 @ SY145 @ SV24 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY146 @ SY145 @ SV24 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV24 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY146 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY146 @ SY145 @ SV24 ) ) )
| ( doDivides0 @ SY146 @ SY145 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(845,plain,
! [SV24: $i] :
( ( ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY149 @ SY148 @ SV24 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY149 @ SY148 @ SV24 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV24 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY149 @ SV24 )
| ~ ( ( SY148
!= ( sdtasdt0 @ SY149 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY149 @ SY148 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[808]) ).
thf(846,plain,
! [SV24: $i] :
( ( ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY152 @ SY151 @ SV24 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY152 @ SY151 @ SV24 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV24 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV24 )
| ( doDivides0 @ SY152 @ SY151 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[809]) ).
thf(847,plain,
! [SV24: $i] :
( ( ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY155 @ SY154 @ SV24 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY155 @ SY154 @ SV24 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ~ ( doDivides0 @ SY155 @ ( sdtasdt0 @ SV24 @ SY154 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY155 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( ( SY154
!= ( sdtasdt0 @ SY155 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY155 @ SY154 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(848,plain,
! [SV24: $i] :
( ( ! [SY156: $i,SY157: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY156 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY157
!= ( sdtasdt0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY157 @ SY156 @ SV24 ) @ SY157 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY157 @ SY156 @ SV24 )
!= SY157 ) ) ) )
| ( SY157 = sz00 )
| ( SY157 = sz10 )
| ~ ( doDivides0 @ SY157 @ ( sdtasdt0 @ SV24 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY156 ) @ SY157 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY157 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY157 @ SY156 @ SV24 ) ) )
| ( doDivides0 @ SY157 @ SY156 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(849,plain,
! [SV24: $i] :
( ( ! [SY158: $i,SY159: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY159
!= ( sdtasdt0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY159 @ SY158 @ SV24 ) @ SY159 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY159 @ SY158 @ SV24 )
!= SY159 ) ) ) )
| ( SY159 = sz00 )
| ( SY159 = sz10 )
| ~ ( doDivides0 @ SY159 @ ( sdtasdt0 @ SV24 @ SY158 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY158 ) @ SY159 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY159 @ SV24 )
| ~ ( ( SY158
!= ( sdtasdt0 @ SY159 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY159 @ SY158 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(850,plain,
! [SV24: $i] :
( ( ! [SY160: $i,SY161: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY161
!= ( sdtasdt0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY161 @ SY160 @ SV24 ) @ SY161 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY161 @ SY160 @ SV24 )
!= SY161 ) ) ) )
| ( SY161 = sz00 )
| ( SY161 = sz10 )
| ~ ( doDivides0 @ SY161 @ ( sdtasdt0 @ SV24 @ SY160 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY160 ) @ SY161 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY161 @ SV24 )
| ( doDivides0 @ SY161 @ SY160 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[813]) ).
thf(851,plain,
! [SV24: $i] :
( ( ! [SY162: $i,SY163: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( isPrime0 @ SY163 )
| ! [SY164: $i] :
( ( ( sdtasdt0 @ SV24 @ SY162 )
!= ( sdtasdt0 @ SY163 @ SY164 ) )
| ~ ( aNaturalNumber0 @ SY164 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY162 ) @ SY163 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY163 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( ( SY162
!= ( sdtasdt0 @ SY163 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY163 @ SY162 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(852,plain,
! [SV24: $i] :
( ( ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV24 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV24 ) ) )
| ( doDivides0 @ SY166 @ SY165 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[815]) ).
thf(853,plain,
! [SV24: $i] :
( ( ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV24 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY169 @ SV24 )
| ~ ( ( SY168
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(854,plain,
! [SV24: $i] :
( ( ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV24 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV24 )
| ( doDivides0 @ SY172 @ SY171 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[817]) ).
thf(855,plain,
! [SV24: $i] :
( ( ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ~ ( doDivides0 @ SY175 @ ( sdtasdt0 @ SV24 @ SY174 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY175 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( ( SY174
!= ( sdtasdt0 @ SY175 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY175 @ SY174 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[818]) ).
thf(856,plain,
! [SV24: $i] :
( ( ! [SY176: $i,SY177: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY176 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( isPrime0 @ SY177 )
| ~ ( doDivides0 @ SY177 @ ( sdtasdt0 @ SV24 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY176 ) @ SY177 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY177 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY177 @ SY176 @ SV24 ) ) )
| ( doDivides0 @ SY177 @ SY176 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[819]) ).
thf(857,plain,
! [SV24: $i] :
( ( ! [SY178: $i,SY179: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( isPrime0 @ SY179 )
| ~ ( doDivides0 @ SY179 @ ( sdtasdt0 @ SV24 @ SY178 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY178 ) @ SY179 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY179 @ SV24 )
| ~ ( ( SY178
!= ( sdtasdt0 @ SY179 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY179 @ SY178 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(858,plain,
! [SV24: $i] :
( ( ! [SY180: $i,SY181: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( isPrime0 @ SY181 )
| ~ ( doDivides0 @ SY181 @ ( sdtasdt0 @ SV24 @ SY180 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SY180 ) @ SY181 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY181 @ SV24 )
| ( doDivides0 @ SY181 @ SY180 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(859,plain,
! [SV42: $i,SV25: $i] :
( ( ( ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( ( sdtpldt0 @ SV25 @ SY194 )
!= ( sdtpldt0 @ SV42 @ SY194 ) ) )
| ~ ~ ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) )
| ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) ) )
= $false )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(860,plain,
! [SV42: $i,SV25: $i,SV92: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV92 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV25 @ SV92 ) @ ( sdtpldt0 @ SV42 @ SV92 ) ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(861,plain,
! [SV93: $i,SV86: $i] :
( ( ( ( xr
!= ( sdtasdt0 @ SV86 @ SV93 ) )
| ~ ( aNaturalNumber0 @ SV93 ) )
= $true )
| ( ( aNaturalNumber0 @ SV86 )
= $false )
| ( ( ( SV86 = sz10 )
| ( SV86 = xr ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(862,plain,
! [SV87: $i] :
( ( ( doDivides0 @ SV87 @ xr )
= $false )
| ( ( aNaturalNumber0 @ SV87 )
= $false )
| ( ( ( SV87 = sz10 )
| ( SV87 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(863,plain,
( ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[831]) ).
thf(864,plain,
( ( ~ ( doDivides0 @ xr @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[831]) ).
thf(865,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(866,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(867,plain,
( ( ~ ( ( xp != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[833]) ).
thf(868,plain,
( ( ~ ( ( xp != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[833]) ).
thf(869,plain,
( ( ~ ( ( xn != xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[834]) ).
thf(870,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[834]) ).
thf(871,plain,
! [SV76: $i,SV67: $i,SV21: $i] :
( ( ( ( sdtpldt0 @ SV21 @ SV67 )
= ( sdtpldt0 @ SV21 @ SV76 ) )
= $false )
| ( ( SV67 = SV76 )
= $true )
| ( ( aNaturalNumber0 @ SV67 )
= $false )
| ( ( aNaturalNumber0 @ SV21 )
= $false )
| ( ( aNaturalNumber0 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(872,plain,
! [SV77: $i,SV21: $i,SV68: $i] :
( ( ( ( sdtpldt0 @ SV68 @ SV21 )
= ( sdtpldt0 @ SV77 @ SV21 ) )
= $false )
| ( ( SV68 = SV77 )
= $true )
| ( ( aNaturalNumber0 @ SV68 )
= $false )
| ( ( aNaturalNumber0 @ SV21 )
= $false )
| ( ( aNaturalNumber0 @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(873,plain,
! [SV82: $i,SV79: $i,SV22: $i] :
( ( ( ( ( sdtasdt0 @ SV22 @ SV79 )
!= ( sdtasdt0 @ SV22 @ SV82 ) ) )
= $true )
| ( ( SV79 = SV82 )
= $true )
| ( ( aNaturalNumber0 @ SV79 )
= $false )
| ( ( aNaturalNumber0 @ SV82 )
= $false )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(874,plain,
! [SV83: $i,SV22: $i,SV80: $i] :
( ( ( ( ( sdtasdt0 @ SV80 @ SV22 )
!= ( sdtasdt0 @ SV83 @ SV22 ) ) )
= $true )
| ( ( SV80 = SV83 )
= $true )
| ( ( aNaturalNumber0 @ SV80 )
= $false )
| ( ( aNaturalNumber0 @ SV83 )
= $false )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[838]) ).
thf(875,plain,
! [SV84: $i,SV23: $i,SV81: $i] :
( ( ( aNaturalNumber0 @ SV81 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV84 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV81 = SV84 )
| ~ ( sdtlseqdt0 @ SV81 @ SV84 )
| ( ( sdtasdt0 @ SV81 @ SV23 )
!= ( sdtasdt0 @ SV84 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(876,plain,
! [SV90: $i,SV88: $i,SV23: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV88 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV90 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 )
| ( ( sdtasdt0 @ SV23 @ SV88 )
!= ( sdtasdt0 @ SV23 @ SV90 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(877,plain,
! [SV91: $i,SV89: $i,SV23: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV23 )
| ~ ( aNaturalNumber0 @ SV89 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV91 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SV89 ) @ ( sdtasdt0 @ SV23 @ SV91 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(878,plain,
! [SV78: $i,SV69: $i,SV23: $i] :
( ( ( ( SV23 = sz00 )
| ( SV69 = SV78 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV69 @ SV78 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV69 @ SV23 ) @ ( sdtasdt0 @ SV78 @ SV23 ) )
= $true )
| ( ( aNaturalNumber0 @ SV69 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[842]) ).
thf(879,plain,
! [SV94: $i,SV24: $i] :
( ( ! [SY213: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV94 )
| ~ ( aNaturalNumber0 @ SY213 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY213
!= ( sdtasdt0 @ ( sK39_W3 @ SY213 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SY213 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY213 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY213 @ SV94 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY213 @ SV94 @ SV24 ) @ SY213 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY213 @ SV94 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY213 @ SV94 @ SV24 )
!= SY213 ) ) ) )
| ( SY213 = sz00 )
| ( SY213 = sz10 )
| ! [SY214: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SY213 @ SY214 ) )
| ~ ( aNaturalNumber0 @ SY214 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SY213 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY213 @ ( sK38_W3 @ SY213 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY213 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SY213 @ ( sK37_W3 @ SY213 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY213 @ SV94 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(880,plain,
! [SV95: $i,SV24: $i] :
( ( ! [SY215: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV95 )
| ~ ( aNaturalNumber0 @ SY215 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY215
!= ( sdtasdt0 @ ( sK35_W3 @ SY215 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SY215 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY215 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY215 @ SV95 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY215 @ SV95 @ SV24 ) @ SY215 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY215 @ SV95 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY215 @ SV95 @ SV24 )
!= SY215 ) ) ) )
| ( SY215 = sz00 )
| ( SY215 = sz10 )
| ! [SY216: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SY215 @ SY216 ) )
| ~ ( aNaturalNumber0 @ SY216 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SY215 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY215 @ ( sK34_W3 @ SY215 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY215 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SY215 @ SV95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[844]) ).
thf(881,plain,
! [SV96: $i,SV24: $i] :
( ( ! [SY217: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV96 )
| ~ ( aNaturalNumber0 @ SY217 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY217
!= ( sdtasdt0 @ ( sK32_W3 @ SY217 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SY217 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY217 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY217 @ SV96 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY217 @ SV96 @ SV24 ) @ SY217 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY217 @ SV96 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY217 @ SV96 @ SV24 )
!= SY217 ) ) ) )
| ( SY217 = sz00 )
| ( SY217 = sz10 )
| ! [SY218: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SY217 @ SY218 ) )
| ~ ( aNaturalNumber0 @ SY218 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SY217 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY217 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SY217 @ ( sK31_W3 @ SY217 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY217 @ SV96 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[845]) ).
thf(882,plain,
! [SV97: $i,SV24: $i] :
( ( ! [SY219: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV97 )
| ~ ( aNaturalNumber0 @ SY219 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY219
!= ( sdtasdt0 @ ( sK29_W3 @ SY219 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SY219 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY219 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY219 @ SV97 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY219 @ SV97 @ SV24 ) @ SY219 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY219 @ SV97 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY219 @ SV97 @ SV24 )
!= SY219 ) ) ) )
| ( SY219 = sz00 )
| ( SY219 = sz10 )
| ! [SY220: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SY219 @ SY220 ) )
| ~ ( aNaturalNumber0 @ SY220 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SY219 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY219 @ SV24 )
| ( doDivides0 @ SY219 @ SV97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[846]) ).
thf(883,plain,
! [SV98: $i,SV24: $i] :
( ( ! [SY221: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV98 )
| ~ ( aNaturalNumber0 @ SY221 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY221
!= ( sdtasdt0 @ ( sK27_W3 @ SY221 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SY221 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY221 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY221 @ SV98 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY221 @ SV98 @ SV24 ) @ SY221 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY221 @ SV98 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY221 @ SV98 @ SV24 )
!= SY221 ) ) ) )
| ( SY221 = sz00 )
| ( SY221 = sz10 )
| ~ ( doDivides0 @ SY221 @ ( sdtasdt0 @ SV24 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SY221 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY221 @ ( sK26_W3 @ SY221 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY221 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SY221 @ ( sK25_W3 @ SY221 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY221 @ SV98 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(884,plain,
! [SV99: $i,SV24: $i] :
( ( ! [SY222: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV99 )
| ~ ( aNaturalNumber0 @ SY222 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY222
!= ( sdtasdt0 @ ( sK23_W3 @ SY222 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SY222 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY222 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY222 @ SV99 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY222 @ SV99 @ SV24 ) @ SY222 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY222 @ SV99 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY222 @ SV99 @ SV24 )
!= SY222 ) ) ) )
| ( SY222 = sz00 )
| ( SY222 = sz10 )
| ~ ( doDivides0 @ SY222 @ ( sdtasdt0 @ SV24 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SY222 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY222 @ ( sK22_W3 @ SY222 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY222 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SY222 @ SV99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[848]) ).
thf(885,plain,
! [SV100: $i,SV24: $i] :
( ( ! [SY223: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV100 )
| ~ ( aNaturalNumber0 @ SY223 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY223
!= ( sdtasdt0 @ ( sK20_W3 @ SY223 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SY223 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY223 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY223 @ SV100 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY223 @ SV100 @ SV24 ) @ SY223 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY223 @ SV100 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY223 @ SV100 @ SV24 )
!= SY223 ) ) ) )
| ( SY223 = sz00 )
| ( SY223 = sz10 )
| ~ ( doDivides0 @ SY223 @ ( sdtasdt0 @ SV24 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SY223 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY223 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SY223 @ ( sK19_W3 @ SY223 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY223 @ SV100 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(886,plain,
! [SV101: $i,SV24: $i] :
( ( ! [SY224: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV101 )
| ~ ( aNaturalNumber0 @ SY224 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY224
!= ( sdtasdt0 @ ( sK17_W3 @ SY224 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SY224 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY224 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY224 @ SV101 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY224 @ SV101 @ SV24 ) @ SY224 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY224 @ SV101 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY224 @ SV101 @ SV24 )
!= SY224 ) ) ) )
| ( SY224 = sz00 )
| ( SY224 = sz10 )
| ~ ( doDivides0 @ SY224 @ ( sdtasdt0 @ SV24 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SY224 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY224 @ SV24 )
| ( doDivides0 @ SY224 @ SV101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(887,plain,
! [SV102: $i,SV24: $i] :
( ( ! [SY225: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV102 )
| ~ ( aNaturalNumber0 @ SY225 )
| ~ ( isPrime0 @ SY225 )
| ! [SY226: $i] :
( ( ( sdtasdt0 @ SV24 @ SV102 )
!= ( sdtasdt0 @ SY225 @ SY226 ) )
| ~ ( aNaturalNumber0 @ SY226 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SY225 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY225 @ ( sK16_W3 @ SY225 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY225 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SY225 @ ( sK15_W3 @ SY225 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY225 @ SV102 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(888,plain,
! [SV103: $i,SV24: $i] :
( ( ! [SY227: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV103 )
| ~ ( aNaturalNumber0 @ SY227 )
| ~ ( isPrime0 @ SY227 )
| ! [SY228: $i] :
( ( ( sdtasdt0 @ SV24 @ SV103 )
!= ( sdtasdt0 @ SY227 @ SY228 ) )
| ~ ( aNaturalNumber0 @ SY228 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SY227 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY227 @ ( sK14_W3 @ SY227 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY227 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SY227 @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(889,plain,
! [SV104: $i,SV24: $i] :
( ( ! [SY229: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV104 )
| ~ ( aNaturalNumber0 @ SY229 )
| ~ ( isPrime0 @ SY229 )
| ! [SY230: $i] :
( ( ( sdtasdt0 @ SV24 @ SV104 )
!= ( sdtasdt0 @ SY229 @ SY230 ) )
| ~ ( aNaturalNumber0 @ SY230 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SY229 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY229 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SY229 @ ( sK13_W3 @ SY229 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY229 @ SV104 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(890,plain,
! [SV105: $i,SV24: $i] :
( ( ! [SY231: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV105 )
| ~ ( aNaturalNumber0 @ SY231 )
| ~ ( isPrime0 @ SY231 )
| ! [SY232: $i] :
( ( ( sdtasdt0 @ SV24 @ SV105 )
!= ( sdtasdt0 @ SY231 @ SY232 ) )
| ~ ( aNaturalNumber0 @ SY232 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SY231 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY231 @ SV24 )
| ( doDivides0 @ SY231 @ SV105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(891,plain,
! [SV106: $i,SV24: $i] :
( ( ! [SY233: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV106 )
| ~ ( aNaturalNumber0 @ SY233 )
| ~ ( isPrime0 @ SY233 )
| ~ ( doDivides0 @ SY233 @ ( sdtasdt0 @ SV24 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SY233 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY233 @ ( sK12_W3 @ SY233 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY233 @ SV106 @ SV24 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SY233 @ ( sK11_W3 @ SY233 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY233 @ SV106 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(892,plain,
! [SV107: $i,SV24: $i] :
( ( ! [SY234: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV107 )
| ~ ( aNaturalNumber0 @ SY234 )
| ~ ( isPrime0 @ SY234 )
| ~ ( doDivides0 @ SY234 @ ( sdtasdt0 @ SV24 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SY234 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SY234 @ ( sK10_W3 @ SY234 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY234 @ SV107 @ SV24 ) ) )
| ( doDivides0 @ SY234 @ SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[856]) ).
thf(893,plain,
! [SV108: $i,SV24: $i] :
( ( ! [SY235: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV108 )
| ~ ( aNaturalNumber0 @ SY235 )
| ~ ( isPrime0 @ SY235 )
| ~ ( doDivides0 @ SY235 @ ( sdtasdt0 @ SV24 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SY235 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY235 @ SV24 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SY235 @ ( sK9_W3 @ SY235 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY235 @ SV108 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(894,plain,
! [SV109: $i,SV24: $i] :
( ( ! [SY236: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV109 )
| ~ ( aNaturalNumber0 @ SY236 )
| ~ ( isPrime0 @ SY236 )
| ~ ( doDivides0 @ SY236 @ ( sdtasdt0 @ SV24 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV109 ) @ SY236 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY236 @ SV24 )
| ( doDivides0 @ SY236 @ SV109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(895,plain,
! [SV42: $i,SV25: $i] :
( ( ( ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( ( sdtpldt0 @ SV25 @ SY194 )
!= ( sdtpldt0 @ SV42 @ SY194 ) ) ) )
= $false )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(896,plain,
! [SV42: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) )
| ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) ) )
= $false )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(897,plain,
! [SV42: $i,SV25: $i,SV92: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV92 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV25 @ SV92 ) @ ( sdtpldt0 @ SV42 @ SV92 ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(898,plain,
! [SV93: $i,SV86: $i] :
( ( ( ( xr
!= ( sdtasdt0 @ SV86 @ SV93 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV93 ) )
= $true )
| ( ( aNaturalNumber0 @ SV86 )
= $false )
| ( ( ( SV86 = sz10 )
| ( SV86 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[861]) ).
thf(899,plain,
! [SV87: $i] :
( ( ( SV87 = sz10 )
= $true )
| ( ( SV87 = xr )
= $true )
| ( ( aNaturalNumber0 @ SV87 )
= $false )
| ( ( doDivides0 @ SV87 @ xr )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(900,plain,
( ( ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(901,plain,
( ( doDivides0 @ xr @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[864]) ).
thf(902,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[865]) ).
thf(903,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[866]) ).
thf(904,plain,
( ( ( xp != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[867]) ).
thf(905,plain,
( ( ( xp != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[868]) ).
thf(906,plain,
( ( ( xn != xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[869]) ).
thf(907,plain,
( ( ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[870]) ).
thf(908,plain,
! [SV82: $i,SV79: $i,SV22: $i] :
( ( ( ( sdtasdt0 @ SV22 @ SV79 )
= ( sdtasdt0 @ SV22 @ SV82 ) )
= $false )
| ( ( SV79 = SV82 )
= $true )
| ( ( aNaturalNumber0 @ SV79 )
= $false )
| ( ( aNaturalNumber0 @ SV82 )
= $false )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(909,plain,
! [SV83: $i,SV22: $i,SV80: $i] :
( ( ( ( sdtasdt0 @ SV80 @ SV22 )
= ( sdtasdt0 @ SV83 @ SV22 ) )
= $false )
| ( ( SV80 = SV83 )
= $true )
| ( ( aNaturalNumber0 @ SV80 )
= $false )
| ( ( aNaturalNumber0 @ SV83 )
= $false )
| ( ( SV22 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(910,plain,
! [SV81: $i,SV23: $i,SV84: $i] :
( ( ( aNaturalNumber0 @ SV84 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV81 )
= $false )
| ( ( ( SV23 = sz00 )
| ( SV81 = SV84 )
| ~ ( sdtlseqdt0 @ SV81 @ SV84 )
| ( ( sdtasdt0 @ SV81 @ SV23 )
!= ( sdtasdt0 @ SV84 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(911,plain,
! [SV90: $i,SV88: $i,SV23: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV23 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV88 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV90 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 )
| ( ( sdtasdt0 @ SV23 @ SV88 )
!= ( sdtasdt0 @ SV23 @ SV90 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[876]) ).
thf(912,plain,
! [SV91: $i,SV89: $i,SV23: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV23 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV89 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV91 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SV89 ) @ ( sdtasdt0 @ SV23 @ SV91 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[877]) ).
thf(913,plain,
! [SV78: $i,SV69: $i,SV23: $i] :
( ( ( SV23 = sz00 )
= $true )
| ( ( SV69 = SV78 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV69 @ SV78 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV69 @ SV23 ) @ ( sdtasdt0 @ SV78 @ SV23 ) )
= $true )
| ( ( aNaturalNumber0 @ SV69 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(914,plain,
! [SV110: $i,SV94: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV94 )
| ~ ( aNaturalNumber0 @ SV110 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[879]) ).
thf(915,plain,
! [SV111: $i,SV95: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV95 )
| ~ ( aNaturalNumber0 @ SV111 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[880]) ).
thf(916,plain,
! [SV112: $i,SV96: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV96 )
| ~ ( aNaturalNumber0 @ SV112 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(917,plain,
! [SV113: $i,SV97: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV97 )
| ~ ( aNaturalNumber0 @ SV113 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[882]) ).
thf(918,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV98 )
| ~ ( aNaturalNumber0 @ SV114 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[883]) ).
thf(919,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV99 )
| ~ ( aNaturalNumber0 @ SV115 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(920,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV100 )
| ~ ( aNaturalNumber0 @ SV116 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[885]) ).
thf(921,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV101 )
| ~ ( aNaturalNumber0 @ SV117 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(922,plain,
! [SV118: $i,SV102: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV102 )
| ~ ( aNaturalNumber0 @ SV118 )
| ~ ( isPrime0 @ SV118 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV24 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[887]) ).
thf(923,plain,
! [SV119: $i,SV103: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV103 )
| ~ ( aNaturalNumber0 @ SV119 )
| ~ ( isPrime0 @ SV119 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV24 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(924,plain,
! [SV120: $i,SV104: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV104 )
| ~ ( aNaturalNumber0 @ SV120 )
| ~ ( isPrime0 @ SV120 )
| ! [SY243: $i] :
( ( ( sdtasdt0 @ SV24 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY243 ) )
| ~ ( aNaturalNumber0 @ SY243 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(925,plain,
! [SV121: $i,SV105: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV105 )
| ~ ( aNaturalNumber0 @ SV121 )
| ~ ( isPrime0 @ SV121 )
| ! [SY244: $i] :
( ( ( sdtasdt0 @ SV24 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY244 ) )
| ~ ( aNaturalNumber0 @ SY244 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(926,plain,
! [SV122: $i,SV106: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV106 )
| ~ ( aNaturalNumber0 @ SV122 )
| ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(927,plain,
! [SV123: $i,SV107: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV107 )
| ~ ( aNaturalNumber0 @ SV123 )
| ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(928,plain,
! [SV124: $i,SV108: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV108 )
| ~ ( aNaturalNumber0 @ SV124 )
| ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV24 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(929,plain,
! [SV125: $i,SV109: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV109 )
| ~ ( aNaturalNumber0 @ SV125 )
| ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV24 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV24 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(930,plain,
! [SV42: $i,SV25: $i] :
( ( ( ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( ( sdtpldt0 @ SV25 @ SY194 )
!= ( sdtpldt0 @ SV42 @ SY194 ) ) ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[895]) ).
thf(931,plain,
! [SV42: $i,SV25: $i] :
( ( ( ~ ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) )
| ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[896]) ).
thf(932,plain,
! [SV42: $i,SV25: $i,SV92: $i] :
( ( ( aNaturalNumber0 @ SV92 )
= $false )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV25 @ SV92 ) @ ( sdtpldt0 @ SV42 @ SV92 ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(933,plain,
! [SV93: $i,SV86: $i] :
( ( ( xr
= ( sdtasdt0 @ SV86 @ SV93 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV93 ) )
= $true )
| ( ( aNaturalNumber0 @ SV86 )
= $false )
| ( ( ( SV86 = sz10 )
| ( SV86 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(934,plain,
( ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(935,plain,
! [SV126: $i] :
( ( ~ ( aNaturalNumber0 @ SV126 )
| ! [SY245: $i] :
( ( xp
!= ( sdtasdt0 @ SV126 @ SY245 ) )
| ~ ( aNaturalNumber0 @ SY245 ) )
| ( SV126 = sz10 )
| ( SV126 = xp ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[902]) ).
thf(936,plain,
! [SV127: $i] :
( ( ~ ( aNaturalNumber0 @ SV127 )
| ~ ( doDivides0 @ SV127 @ xp )
| ( SV127 = sz10 )
| ( SV127 = xp ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(937,plain,
( ( xp = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[904]) ).
thf(938,plain,
( ( xp = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(939,plain,
( ( xn = xp )
= $false ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(940,plain,
( ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(941,plain,
! [SV84: $i,SV81: $i,SV23: $i] :
( ( ( ( SV23 = sz00 )
| ( SV81 = SV84 )
| ~ ( sdtlseqdt0 @ SV81 @ SV84 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV81 @ SV23 )
!= ( sdtasdt0 @ SV84 @ SV23 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV81 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[910]) ).
thf(942,plain,
! [SV90: $i,SV88: $i,SV23: $i] :
( ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV88 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV90 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 )
| ( ( sdtasdt0 @ SV23 @ SV88 )
!= ( sdtasdt0 @ SV23 @ SV90 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(943,plain,
! [SV91: $i,SV89: $i,SV23: $i] :
( ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV89 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV91 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SV89 ) @ ( sdtasdt0 @ SV23 @ SV91 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(944,plain,
! [SV23: $i,SV78: $i,SV69: $i] :
( ( ( sdtlseqdt0 @ SV69 @ SV78 )
= $false )
| ( ( SV69 = SV78 )
= $true )
| ( ( SV23 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV69 @ SV23 ) @ ( sdtasdt0 @ SV78 @ SV23 ) )
= $true )
| ( ( aNaturalNumber0 @ SV69 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(945,plain,
! [SV110: $i,SV94: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV94 )
| ~ ( aNaturalNumber0 @ SV110 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[914]) ).
thf(946,plain,
! [SV111: $i,SV95: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV95 )
| ~ ( aNaturalNumber0 @ SV111 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[915]) ).
thf(947,plain,
! [SV112: $i,SV96: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV96 )
| ~ ( aNaturalNumber0 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[916]) ).
thf(948,plain,
! [SV113: $i,SV97: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV97 )
| ~ ( aNaturalNumber0 @ SV113 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[917]) ).
thf(949,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV98 )
| ~ ( aNaturalNumber0 @ SV114 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[918]) ).
thf(950,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV99 )
| ~ ( aNaturalNumber0 @ SV115 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[919]) ).
thf(951,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV100 )
| ~ ( aNaturalNumber0 @ SV116 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[920]) ).
thf(952,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV101 )
| ~ ( aNaturalNumber0 @ SV117 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[921]) ).
thf(953,plain,
! [SV118: $i,SV102: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV102 )
| ~ ( aNaturalNumber0 @ SV118 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV118 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV24 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[922]) ).
thf(954,plain,
! [SV119: $i,SV103: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV103 )
| ~ ( aNaturalNumber0 @ SV119 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV119 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV24 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[923]) ).
thf(955,plain,
! [SV120: $i,SV104: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV104 )
| ~ ( aNaturalNumber0 @ SV120 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV120 )
| ! [SY243: $i] :
( ( ( sdtasdt0 @ SV24 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY243 ) )
| ~ ( aNaturalNumber0 @ SY243 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[924]) ).
thf(956,plain,
! [SV121: $i,SV105: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV105 )
| ~ ( aNaturalNumber0 @ SV121 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV121 )
| ! [SY244: $i] :
( ( ( sdtasdt0 @ SV24 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY244 ) )
| ~ ( aNaturalNumber0 @ SY244 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[925]) ).
thf(957,plain,
! [SV122: $i,SV106: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV106 )
| ~ ( aNaturalNumber0 @ SV122 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[926]) ).
thf(958,plain,
! [SV123: $i,SV107: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV107 )
| ~ ( aNaturalNumber0 @ SV123 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[927]) ).
thf(959,plain,
! [SV124: $i,SV108: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV108 )
| ~ ( aNaturalNumber0 @ SV124 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV24 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[928]) ).
thf(960,plain,
! [SV125: $i,SV109: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV109 )
| ~ ( aNaturalNumber0 @ SV125 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV24 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV24 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[929]) ).
thf(961,plain,
! [SV42: $i,SV25: $i,SV128: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV128 )
| ( ( sdtpldt0 @ SV25 @ SV128 )
!= ( sdtpldt0 @ SV42 @ SV128 ) ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(962,plain,
! [SV42: $i,SV25: $i] :
( ( ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) )
| ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) )
= $false )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(963,plain,
! [SV86: $i,SV93: $i] :
( ( ( aNaturalNumber0 @ SV93 )
= $false )
| ( ( xr
= ( sdtasdt0 @ SV86 @ SV93 ) )
= $false )
| ( ( aNaturalNumber0 @ SV86 )
= $false )
| ( ( ( SV86 = sz10 )
| ( SV86 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(964,plain,
( ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[934]) ).
thf(965,plain,
( ( ~ ( aNaturalNumber0 @ xr ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[934]) ).
thf(966,plain,
! [SV126: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV126 )
| ! [SY245: $i] :
( ( xp
!= ( sdtasdt0 @ SV126 @ SY245 ) )
| ~ ( aNaturalNumber0 @ SY245 ) ) )
= $true )
| ( ( ( SV126 = sz10 )
| ( SV126 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[935]) ).
thf(967,plain,
! [SV127: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV127 )
| ~ ( doDivides0 @ SV127 @ xp ) )
= $true )
| ( ( ( SV127 = sz10 )
| ( SV127 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[936]) ).
thf(968,plain,
( ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(969,plain,
( ( ~ ( aNaturalNumber0 @ sK7_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(970,plain,
! [SV84: $i,SV81: $i,SV23: $i] :
( ( ( ( SV23 = sz00 )
| ( SV81 = SV84 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV81 @ SV84 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV81 @ SV23 )
!= ( sdtasdt0 @ SV84 @ SV23 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV81 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(971,plain,
! [SV90: $i,SV23: $i,SV88: $i] :
( ( ( aNaturalNumber0 @ SV88 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV90 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 )
| ( ( sdtasdt0 @ SV23 @ SV88 )
!= ( sdtasdt0 @ SV23 @ SV90 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(972,plain,
! [SV91: $i,SV23: $i,SV89: $i] :
( ( ( aNaturalNumber0 @ SV89 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV91 ) )
= $true )
| ( ( ( SV23 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SV89 ) @ ( sdtasdt0 @ SV23 @ SV91 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(973,plain,
! [SV110: $i,SV94: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV94 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV110 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[945]) ).
thf(974,plain,
! [SV111: $i,SV95: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV95 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV111 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[946]) ).
thf(975,plain,
! [SV112: $i,SV96: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV96 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[947]) ).
thf(976,plain,
! [SV113: $i,SV97: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV97 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV113 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[948]) ).
thf(977,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV98 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV114 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(978,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV99 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV115 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(979,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV100 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV116 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(980,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV101 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV117 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[952]) ).
thf(981,plain,
! [SV118: $i,SV102: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV102 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV118 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV118 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV24 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[953]) ).
thf(982,plain,
! [SV119: $i,SV103: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV103 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV119 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV119 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV24 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(983,plain,
! [SV120: $i,SV104: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV104 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV120 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV120 )
| ! [SY243: $i] :
( ( ( sdtasdt0 @ SV24 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY243 ) )
| ~ ( aNaturalNumber0 @ SY243 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[955]) ).
thf(984,plain,
! [SV121: $i,SV105: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV105 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV121 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV121 )
| ! [SY244: $i] :
( ( ( sdtasdt0 @ SV24 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY244 ) )
| ~ ( aNaturalNumber0 @ SY244 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[956]) ).
thf(985,plain,
! [SV122: $i,SV106: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV106 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV122 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(986,plain,
! [SV123: $i,SV107: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV107 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV123 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[958]) ).
thf(987,plain,
! [SV124: $i,SV108: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV108 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV124 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV24 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[959]) ).
thf(988,plain,
! [SV125: $i,SV109: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV109 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV125 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV24 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV24 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[960]) ).
thf(989,plain,
! [SV42: $i,SV25: $i,SV128: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV128 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV25 @ SV128 )
!= ( sdtpldt0 @ SV42 @ SV128 ) ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(990,plain,
! [SV42: $i,SV25: $i] :
( ( ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) ) )
= $false )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[962]) ).
thf(991,plain,
! [SV42: $i,SV25: $i] :
( ( ( ~ ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) )
= $false )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[962]) ).
thf(992,plain,
! [SV93: $i,SV86: $i] :
( ( ( SV86 = sz10 )
= $true )
| ( ( SV86 = xr )
= $true )
| ( ( aNaturalNumber0 @ SV86 )
= $false )
| ( ( xr
= ( sdtasdt0 @ SV86 @ SV93 ) )
= $false )
| ( ( aNaturalNumber0 @ SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[963]) ).
thf(993,plain,
( ( ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[964]) ).
thf(994,plain,
( ( aNaturalNumber0 @ xr )
= $true ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(995,plain,
! [SV126: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV126 ) )
= $true )
| ( ( ! [SY245: $i] :
( ( xp
!= ( sdtasdt0 @ SV126 @ SY245 ) )
| ~ ( aNaturalNumber0 @ SY245 ) ) )
= $true )
| ( ( ( SV126 = sz10 )
| ( SV126 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[966]) ).
thf(996,plain,
! [SV127: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV127 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV127 @ xp ) )
= $true )
| ( ( ( SV127 = sz10 )
| ( SV127 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(997,plain,
( ( ( sdtpldt0 @ xn @ sK7_W0 )
= xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(998,plain,
( ( aNaturalNumber0 @ sK7_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[969]) ).
thf(999,plain,
! [SV84: $i,SV81: $i,SV23: $i] :
( ( ( SV23 = sz00 )
= $true )
| ( ( SV81 = SV84 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV81 @ SV84 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV81 @ SV23 )
!= ( sdtasdt0 @ SV84 @ SV23 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV81 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[970]) ).
thf(1000,plain,
! [SV88: $i,SV23: $i,SV90: $i] :
( ( ( aNaturalNumber0 @ SV90 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV88 )
= $false )
| ( ( ( SV23 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 )
| ( ( sdtasdt0 @ SV23 @ SV88 )
!= ( sdtasdt0 @ SV23 @ SV90 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[971]) ).
thf(1001,plain,
! [SV89: $i,SV23: $i,SV91: $i] :
( ( ( aNaturalNumber0 @ SV91 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV89 )
= $false )
| ( ( ( SV23 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SV89 ) @ ( sdtasdt0 @ SV23 @ SV91 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1002,plain,
! [SV110: $i,SV94: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV94 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV110 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(1003,plain,
! [SV111: $i,SV95: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV95 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV111 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[974]) ).
thf(1004,plain,
! [SV112: $i,SV96: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV96 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(1005,plain,
! [SV113: $i,SV97: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV97 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV113 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(1006,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV98 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV114 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(1007,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV99 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV115 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[978]) ).
thf(1008,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV100 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV116 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1009,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV101 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV117 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[980]) ).
thf(1010,plain,
! [SV118: $i,SV102: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV102 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV118 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV118 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV24 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1011,plain,
! [SV119: $i,SV103: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV103 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV119 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV119 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV24 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[982]) ).
thf(1012,plain,
! [SV120: $i,SV104: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV104 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV120 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV120 )
| ! [SY243: $i] :
( ( ( sdtasdt0 @ SV24 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY243 ) )
| ~ ( aNaturalNumber0 @ SY243 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[983]) ).
thf(1013,plain,
! [SV121: $i,SV105: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV105 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV121 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV121 )
| ! [SY244: $i] :
( ( ( sdtasdt0 @ SV24 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY244 ) )
| ~ ( aNaturalNumber0 @ SY244 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[984]) ).
thf(1014,plain,
! [SV122: $i,SV106: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV106 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV122 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[985]) ).
thf(1015,plain,
! [SV123: $i,SV107: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV107 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV123 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[986]) ).
thf(1016,plain,
! [SV124: $i,SV108: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV108 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV124 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV24 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[987]) ).
thf(1017,plain,
! [SV125: $i,SV109: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV109 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV125 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV24 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV24 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[988]) ).
thf(1018,plain,
! [SV42: $i,SV25: $i,SV128: $i] :
( ( ( aNaturalNumber0 @ SV128 )
= $false )
| ( ( ( ( sdtpldt0 @ SV25 @ SV128 )
!= ( sdtpldt0 @ SV42 @ SV128 ) ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1019,plain,
! [SV42: $i,SV25: $i] :
( ( ( ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( ( sdtpldt0 @ SY195 @ SV25 )
!= ( sdtpldt0 @ SY195 @ SV42 ) ) ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1020,plain,
! [SV42: $i,SV25: $i] :
( ( ( ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SY196 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY196 @ SV25 ) @ ( sdtpldt0 @ SY196 @ SV42 ) ) ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[991]) ).
thf(1021,plain,
( ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1022,plain,
! [SV126: $i] :
( ( ( aNaturalNumber0 @ SV126 )
= $false )
| ( ( ! [SY245: $i] :
( ( xp
!= ( sdtasdt0 @ SV126 @ SY245 ) )
| ~ ( aNaturalNumber0 @ SY245 ) ) )
= $true )
| ( ( ( SV126 = sz10 )
| ( SV126 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1023,plain,
! [SV127: $i] :
( ( ( aNaturalNumber0 @ SV127 )
= $false )
| ( ( ~ ( doDivides0 @ SV127 @ xp ) )
= $true )
| ( ( ( SV127 = sz10 )
| ( SV127 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1024,plain,
! [SV23: $i,SV84: $i,SV81: $i] :
( ( ( sdtlseqdt0 @ SV81 @ SV84 )
= $false )
| ( ( SV81 = SV84 )
= $true )
| ( ( SV23 = sz00 )
= $true )
| ( ( ( ( sdtasdt0 @ SV81 @ SV23 )
!= ( sdtasdt0 @ SV84 @ SV23 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV81 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1025,plain,
! [SV90: $i,SV88: $i,SV23: $i] :
( ( ( ( SV23 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV23 @ SV88 )
!= ( sdtasdt0 @ SV23 @ SV90 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV88 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1026,plain,
! [SV91: $i,SV89: $i,SV23: $i] :
( ( ( ( SV23 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SV89 ) @ ( sdtasdt0 @ SV23 @ SV91 ) )
= $true )
| ( ( aNaturalNumber0 @ SV89 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1027,plain,
! [SV110: $i,SV94: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV94 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV110 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1028,plain,
! [SV111: $i,SV95: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV95 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV111 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1003]) ).
thf(1029,plain,
! [SV112: $i,SV96: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV96 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1004]) ).
thf(1030,plain,
! [SV113: $i,SV97: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV97 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV113 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1031,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV98 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV114 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1032,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV99 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV115 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1033,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV100 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV116 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1034,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV101 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV117 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1035,plain,
! [SV118: $i,SV102: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV102 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV118 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV118 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV24 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1036,plain,
! [SV119: $i,SV103: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV103 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV119 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV119 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV24 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1037,plain,
! [SV120: $i,SV104: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV104 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV120 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV120 )
| ! [SY243: $i] :
( ( ( sdtasdt0 @ SV24 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY243 ) )
| ~ ( aNaturalNumber0 @ SY243 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1038,plain,
! [SV121: $i,SV105: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV105 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV121 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV121 )
| ! [SY244: $i] :
( ( ( sdtasdt0 @ SV24 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY244 ) )
| ~ ( aNaturalNumber0 @ SY244 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1039,plain,
! [SV122: $i,SV106: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV106 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV122 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1040,plain,
! [SV123: $i,SV107: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV107 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV123 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1041,plain,
! [SV124: $i,SV108: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV108 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV124 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV24 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1016]) ).
thf(1042,plain,
! [SV125: $i,SV109: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV109 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV125 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV24 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV24 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1043,plain,
! [SV42: $i,SV128: $i,SV25: $i] :
( ( ( ( sdtpldt0 @ SV25 @ SV128 )
= ( sdtpldt0 @ SV42 @ SV128 ) )
= $false )
| ( ( aNaturalNumber0 @ SV128 )
= $false )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1044,plain,
! [SV42: $i,SV25: $i,SV129: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV129 )
| ( ( sdtpldt0 @ SV129 @ SV25 )
!= ( sdtpldt0 @ SV129 @ SV42 ) ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1019]) ).
thf(1045,plain,
! [SV42: $i,SV25: $i,SV130: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV130 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV130 @ SV25 ) @ ( sdtpldt0 @ SV130 @ SV42 ) ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1020]) ).
thf(1046,plain,
( ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1021]) ).
thf(1047,plain,
( ( ~ ( aNaturalNumber0 @ sK5_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1021]) ).
thf(1048,plain,
! [SV131: $i,SV126: $i] :
( ( ( ( xp
!= ( sdtasdt0 @ SV126 @ SV131 ) )
| ~ ( aNaturalNumber0 @ SV131 ) )
= $true )
| ( ( aNaturalNumber0 @ SV126 )
= $false )
| ( ( ( SV126 = sz10 )
| ( SV126 = xp ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1022]) ).
thf(1049,plain,
! [SV127: $i] :
( ( ( doDivides0 @ SV127 @ xp )
= $false )
| ( ( aNaturalNumber0 @ SV127 )
= $false )
| ( ( ( SV127 = sz10 )
| ( SV127 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1050,plain,
! [SV84: $i,SV23: $i,SV81: $i] :
( ( ( ( sdtasdt0 @ SV81 @ SV23 )
= ( sdtasdt0 @ SV84 @ SV23 ) )
= $false )
| ( ( SV23 = sz00 )
= $true )
| ( ( SV81 = SV84 )
= $true )
| ( ( sdtlseqdt0 @ SV81 @ SV84 )
= $false )
| ( ( aNaturalNumber0 @ SV81 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1024]) ).
thf(1051,plain,
! [SV90: $i,SV88: $i,SV23: $i] :
( ( ( ( SV23 = sz00 )
| ( SV88 = SV90 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV88 @ SV90 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV23 @ SV88 )
!= ( sdtasdt0 @ SV23 @ SV90 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV88 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1025]) ).
thf(1052,plain,
! [SV91: $i,SV89: $i,SV23: $i] :
( ( ( ( SV23 = sz00 )
| ( SV89 = SV91 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV89 @ SV91 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SV89 ) @ ( sdtasdt0 @ SV23 @ SV91 ) )
= $true )
| ( ( aNaturalNumber0 @ SV89 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1053,plain,
! [SV110: $i,SV24: $i,SV94: $i] :
( ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV110 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1054,plain,
! [SV111: $i,SV24: $i,SV95: $i] :
( ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV111 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1055,plain,
! [SV112: $i,SV24: $i,SV96: $i] :
( ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1056,plain,
! [SV113: $i,SV24: $i,SV97: $i] :
( ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV113 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1030]) ).
thf(1057,plain,
! [SV114: $i,SV24: $i,SV98: $i] :
( ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV114 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1031]) ).
thf(1058,plain,
! [SV115: $i,SV24: $i,SV99: $i] :
( ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV115 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1059,plain,
! [SV116: $i,SV24: $i,SV100: $i] :
( ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV116 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1060,plain,
! [SV117: $i,SV24: $i,SV101: $i] :
( ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV117 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1034]) ).
thf(1061,plain,
! [SV118: $i,SV24: $i,SV102: $i] :
( ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV118 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV118 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV24 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1035]) ).
thf(1062,plain,
! [SV119: $i,SV24: $i,SV103: $i] :
( ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV119 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV119 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV24 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1063,plain,
! [SV120: $i,SV24: $i,SV104: $i] :
( ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV120 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV120 )
| ! [SY243: $i] :
( ( ( sdtasdt0 @ SV24 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY243 ) )
| ~ ( aNaturalNumber0 @ SY243 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1064,plain,
! [SV121: $i,SV24: $i,SV105: $i] :
( ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV121 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV121 )
| ! [SY244: $i] :
( ( ( sdtasdt0 @ SV24 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY244 ) )
| ~ ( aNaturalNumber0 @ SY244 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1065,plain,
! [SV122: $i,SV24: $i,SV106: $i] :
( ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV122 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1066,plain,
! [SV123: $i,SV24: $i,SV107: $i] :
( ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV123 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1067,plain,
! [SV124: $i,SV24: $i,SV108: $i] :
( ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV124 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV24 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1068,plain,
! [SV125: $i,SV24: $i,SV109: $i] :
( ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV125 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV24 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV24 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1069,plain,
! [SV42: $i,SV25: $i,SV129: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV129 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV129 @ SV25 )
!= ( sdtpldt0 @ SV129 @ SV42 ) ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1044]) ).
thf(1070,plain,
! [SV42: $i,SV25: $i,SV130: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV130 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV130 @ SV25 ) @ ( sdtpldt0 @ SV130 @ SV42 ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1045]) ).
thf(1071,plain,
( ( xk
= ( sdtasdt0 @ xr @ sK5_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1046]) ).
thf(1072,plain,
( ( aNaturalNumber0 @ sK5_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1047]) ).
thf(1073,plain,
! [SV131: $i,SV126: $i] :
( ( ( ( xp
!= ( sdtasdt0 @ SV126 @ SV131 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV131 ) )
= $true )
| ( ( aNaturalNumber0 @ SV126 )
= $false )
| ( ( ( SV126 = sz10 )
| ( SV126 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1074,plain,
! [SV127: $i] :
( ( ( SV127 = sz10 )
= $true )
| ( ( SV127 = xp )
= $true )
| ( ( aNaturalNumber0 @ SV127 )
= $false )
| ( ( doDivides0 @ SV127 @ xp )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1075,plain,
! [SV90: $i,SV88: $i,SV23: $i] :
( ( ( SV23 = sz00 )
= $true )
| ( ( SV88 = SV90 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV88 @ SV90 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV23 @ SV88 )
!= ( sdtasdt0 @ SV23 @ SV90 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV88 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1076,plain,
! [SV91: $i,SV89: $i,SV23: $i] :
( ( ( SV23 = sz00 )
= $true )
| ( ( SV89 = SV91 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV89 @ SV91 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SV89 ) @ ( sdtasdt0 @ SV23 @ SV91 ) )
= $true )
| ( ( aNaturalNumber0 @ SV89 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1052]) ).
thf(1077,plain,
! [SV94: $i,SV24: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ SV110 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1078,plain,
! [SV95: $i,SV24: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ SV111 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1079,plain,
! [SV96: $i,SV24: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ SV112 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1080,plain,
! [SV97: $i,SV24: $i,SV113: $i] :
( ( ( aNaturalNumber0 @ SV113 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1081,plain,
! [SV98: $i,SV24: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ SV114 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1082,plain,
! [SV99: $i,SV24: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ SV115 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1083,plain,
! [SV100: $i,SV24: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ SV116 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1084,plain,
! [SV101: $i,SV24: $i,SV117: $i] :
( ( ( aNaturalNumber0 @ SV117 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1085,plain,
! [SV102: $i,SV24: $i,SV118: $i] :
( ( ( aNaturalNumber0 @ SV118 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( ~ ( isPrime0 @ SV118 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV24 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1061]) ).
thf(1086,plain,
! [SV103: $i,SV24: $i,SV119: $i] :
( ( ( aNaturalNumber0 @ SV119 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( ~ ( isPrime0 @ SV119 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV24 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1087,plain,
! [SV104: $i,SV24: $i,SV120: $i] :
( ( ( aNaturalNumber0 @ SV120 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( ~ ( isPrime0 @ SV120 )
| ! [SY243: $i] :
( ( ( sdtasdt0 @ SV24 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY243 ) )
| ~ ( aNaturalNumber0 @ SY243 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1063]) ).
thf(1088,plain,
! [SV105: $i,SV24: $i,SV121: $i] :
( ( ( aNaturalNumber0 @ SV121 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( ~ ( isPrime0 @ SV121 )
| ! [SY244: $i] :
( ( ( sdtasdt0 @ SV24 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY244 ) )
| ~ ( aNaturalNumber0 @ SY244 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1089,plain,
! [SV106: $i,SV24: $i,SV122: $i] :
( ( ( aNaturalNumber0 @ SV122 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1090,plain,
! [SV107: $i,SV24: $i,SV123: $i] :
( ( ( aNaturalNumber0 @ SV123 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1091,plain,
! [SV108: $i,SV24: $i,SV124: $i] :
( ( ( aNaturalNumber0 @ SV124 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV24 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1092,plain,
! [SV109: $i,SV24: $i,SV125: $i] :
( ( ( aNaturalNumber0 @ SV125 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV24 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV24 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1093,plain,
! [SV42: $i,SV25: $i,SV129: $i] :
( ( ( aNaturalNumber0 @ SV129 )
= $false )
| ( ( ( ( sdtpldt0 @ SV129 @ SV25 )
!= ( sdtpldt0 @ SV129 @ SV42 ) ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1094,plain,
! [SV42: $i,SV25: $i,SV130: $i] :
( ( ( aNaturalNumber0 @ SV130 )
= $false )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV130 @ SV25 ) @ ( sdtpldt0 @ SV130 @ SV42 ) )
= $true )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1095,plain,
! [SV131: $i,SV126: $i] :
( ( ( xp
= ( sdtasdt0 @ SV126 @ SV131 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV131 ) )
= $true )
| ( ( aNaturalNumber0 @ SV126 )
= $false )
| ( ( ( SV126 = sz10 )
| ( SV126 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1096,plain,
! [SV23: $i,SV90: $i,SV88: $i] :
( ( ( sdtlseqdt0 @ SV88 @ SV90 )
= $false )
| ( ( SV88 = SV90 )
= $true )
| ( ( SV23 = sz00 )
= $true )
| ( ( ( ( sdtasdt0 @ SV23 @ SV88 )
!= ( sdtasdt0 @ SV23 @ SV90 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV88 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1097,plain,
! [SV23: $i,SV91: $i,SV89: $i] :
( ( ( sdtlseqdt0 @ SV89 @ SV91 )
= $false )
| ( ( SV89 = SV91 )
= $true )
| ( ( SV23 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV23 @ SV89 ) @ ( sdtasdt0 @ SV23 @ SV91 ) )
= $true )
| ( ( aNaturalNumber0 @ SV89 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1098,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1077]) ).
thf(1099,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1078]) ).
thf(1100,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1079]) ).
thf(1101,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1080]) ).
thf(1102,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1081]) ).
thf(1103,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1082]) ).
thf(1104,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1105,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1084]) ).
thf(1106,plain,
! [SV102: $i,SV24: $i,SV118: $i] :
( ( ( ~ ( isPrime0 @ SV118 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV24 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1085]) ).
thf(1107,plain,
! [SV103: $i,SV24: $i,SV119: $i] :
( ( ( ~ ( isPrime0 @ SV119 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV24 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1086]) ).
thf(1108,plain,
! [SV104: $i,SV24: $i,SV120: $i] :
( ( ( ~ ( isPrime0 @ SV120 )
| ! [SY243: $i] :
( ( ( sdtasdt0 @ SV24 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY243 ) )
| ~ ( aNaturalNumber0 @ SY243 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1087]) ).
thf(1109,plain,
! [SV105: $i,SV24: $i,SV121: $i] :
( ( ( ~ ( isPrime0 @ SV121 )
| ! [SY244: $i] :
( ( ( sdtasdt0 @ SV24 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY244 ) )
| ~ ( aNaturalNumber0 @ SY244 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1110,plain,
! [SV106: $i,SV24: $i,SV122: $i] :
( ( ( ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1089]) ).
thf(1111,plain,
! [SV107: $i,SV24: $i,SV123: $i] :
( ( ( ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1090]) ).
thf(1112,plain,
! [SV108: $i,SV24: $i,SV124: $i] :
( ( ( ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV24 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1091]) ).
thf(1113,plain,
! [SV109: $i,SV24: $i,SV125: $i] :
( ( ( ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV24 @ SV109 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV24 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1092]) ).
thf(1114,plain,
! [SV42: $i,SV25: $i,SV129: $i] :
( ( ( ( sdtpldt0 @ SV129 @ SV25 )
= ( sdtpldt0 @ SV129 @ SV42 ) )
= $false )
| ( ( aNaturalNumber0 @ SV129 )
= $false )
| ( ( SV25 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV25 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1093]) ).
thf(1115,plain,
! [SV126: $i,SV131: $i] :
( ( ( aNaturalNumber0 @ SV131 )
= $false )
| ( ( xp
= ( sdtasdt0 @ SV126 @ SV131 ) )
= $false )
| ( ( aNaturalNumber0 @ SV126 )
= $false )
| ( ( ( SV126 = sz10 )
| ( SV126 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1095]) ).
thf(1116,plain,
! [SV90: $i,SV88: $i,SV23: $i] :
( ( ( ( sdtasdt0 @ SV23 @ SV88 )
= ( sdtasdt0 @ SV23 @ SV90 ) )
= $false )
| ( ( SV23 = sz00 )
= $true )
| ( ( SV88 = SV90 )
= $true )
| ( ( sdtlseqdt0 @ SV88 @ SV90 )
= $false )
| ( ( aNaturalNumber0 @ SV88 )
= $false )
| ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( aNaturalNumber0 @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1096]) ).
thf(1117,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1098]) ).
thf(1118,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1099]) ).
thf(1119,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1100]) ).
thf(1120,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1101]) ).
thf(1121,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1102]) ).
thf(1122,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1103]) ).
thf(1123,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1104]) ).
thf(1124,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1105]) ).
thf(1125,plain,
! [SV102: $i,SV24: $i,SV118: $i] :
( ( ( ~ ( isPrime0 @ SV118 ) )
= $true )
| ( ( ! [SY241: $i] :
( ( ( sdtasdt0 @ SV24 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1106]) ).
thf(1126,plain,
! [SV103: $i,SV24: $i,SV119: $i] :
( ( ( ~ ( isPrime0 @ SV119 ) )
= $true )
| ( ( ! [SY242: $i] :
( ( ( sdtasdt0 @ SV24 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1107]) ).
thf(1127,plain,
! [SV104: $i,SV24: $i,SV120: $i] :
( ( ( ~ ( isPrime0 @ SV120 ) )
= $true )
| ( ( ! [SY243: $i] :
( ( ( sdtasdt0 @ SV24 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY243 ) )
| ~ ( aNaturalNumber0 @ SY243 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1108]) ).
thf(1128,plain,
! [SV105: $i,SV24: $i,SV121: $i] :
( ( ( ~ ( isPrime0 @ SV121 ) )
= $true )
| ( ( ! [SY244: $i] :
( ( ( sdtasdt0 @ SV24 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY244 ) )
| ~ ( aNaturalNumber0 @ SY244 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1109]) ).
thf(1129,plain,
! [SV106: $i,SV24: $i,SV122: $i] :
( ( ( ~ ( isPrime0 @ SV122 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1110]) ).
thf(1130,plain,
! [SV107: $i,SV24: $i,SV123: $i] :
( ( ( ~ ( isPrime0 @ SV123 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1111]) ).
thf(1131,plain,
! [SV108: $i,SV24: $i,SV124: $i] :
( ( ( ~ ( isPrime0 @ SV124 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV24 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1112]) ).
thf(1132,plain,
! [SV109: $i,SV24: $i,SV125: $i] :
( ( ( ~ ( isPrime0 @ SV125 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV24 @ SV109 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV24 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1113]) ).
thf(1133,plain,
! [SV131: $i,SV126: $i] :
( ( ( SV126 = sz10 )
= $true )
| ( ( SV126 = xp )
= $true )
| ( ( aNaturalNumber0 @ SV126 )
= $false )
| ( ( xp
= ( sdtasdt0 @ SV126 @ SV131 ) )
= $false )
| ( ( aNaturalNumber0 @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1115]) ).
thf(1134,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) ) ) ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1117]) ).
thf(1135,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) ) ) ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1118]) ).
thf(1136,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) ) ) ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1119]) ).
thf(1137,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) ) ) ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1138,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) ) ) ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1121]) ).
thf(1139,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) ) ) ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1122]) ).
thf(1140,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) ) ) ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1123]) ).
thf(1141,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) ) ) ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1142,plain,
! [SV102: $i,SV24: $i,SV118: $i] :
( ( ( isPrime0 @ SV118 )
= $false )
| ( ( ! [SY241: $i] :
( ( ( sdtasdt0 @ SV24 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1143,plain,
! [SV103: $i,SV24: $i,SV119: $i] :
( ( ( isPrime0 @ SV119 )
= $false )
| ( ( ! [SY242: $i] :
( ( ( sdtasdt0 @ SV24 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1144,plain,
! [SV104: $i,SV24: $i,SV120: $i] :
( ( ( isPrime0 @ SV120 )
= $false )
| ( ( ! [SY243: $i] :
( ( ( sdtasdt0 @ SV24 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY243 ) )
| ~ ( aNaturalNumber0 @ SY243 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1145,plain,
! [SV105: $i,SV24: $i,SV121: $i] :
( ( ( isPrime0 @ SV121 )
= $false )
| ( ( ! [SY244: $i] :
( ( ( sdtasdt0 @ SV24 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY244 ) )
| ~ ( aNaturalNumber0 @ SY244 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1146,plain,
! [SV106: $i,SV24: $i,SV122: $i] :
( ( ( isPrime0 @ SV122 )
= $false )
| ( ( ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1147,plain,
! [SV107: $i,SV24: $i,SV123: $i] :
( ( ( isPrime0 @ SV123 )
= $false )
| ( ( ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1148,plain,
! [SV108: $i,SV24: $i,SV124: $i] :
( ( ( isPrime0 @ SV124 )
= $false )
| ( ( ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV24 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1149,plain,
! [SV109: $i,SV24: $i,SV125: $i] :
( ( ( isPrime0 @ SV125 )
= $false )
| ( ( ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV24 @ SV109 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV24 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1150,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1151,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1152,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1136]) ).
thf(1153,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1154,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1138]) ).
thf(1155,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1139]) ).
thf(1156,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1157,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1158,plain,
! [SV132: $i,SV118: $i,SV102: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SV132 ) )
| ~ ( aNaturalNumber0 @ SV132 ) )
= $true )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1142]) ).
thf(1159,plain,
! [SV133: $i,SV119: $i,SV103: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SV133 ) )
| ~ ( aNaturalNumber0 @ SV133 ) )
= $true )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1143]) ).
thf(1160,plain,
! [SV134: $i,SV120: $i,SV104: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SV134 ) )
| ~ ( aNaturalNumber0 @ SV134 ) )
= $true )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1161,plain,
! [SV135: $i,SV121: $i,SV105: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SV135 ) )
| ~ ( aNaturalNumber0 @ SV135 ) )
= $true )
| ( ( isPrime0 @ SV121 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1162,plain,
! [SV106: $i,SV24: $i,SV122: $i] :
( ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1163,plain,
! [SV107: $i,SV24: $i,SV123: $i] :
( ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
= $false )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1147]) ).
thf(1164,plain,
! [SV108: $i,SV24: $i,SV124: $i] :
( ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
= $false )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV24 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1148]) ).
thf(1165,plain,
! [SV109: $i,SV24: $i,SV125: $i] :
( ( ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV24 @ SV109 ) )
= $false )
| ( ( isPrime0 @ SV125 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV24 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1166,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1150]) ).
thf(1167,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1150]) ).
thf(1168,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1151]) ).
thf(1169,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1151]) ).
thf(1170,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1152]) ).
thf(1171,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1152]) ).
thf(1172,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1153]) ).
thf(1173,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1153]) ).
thf(1174,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1154]) ).
thf(1175,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1154]) ).
thf(1176,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1177,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1178,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1179,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1156]) ).
thf(1180,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1157]) ).
thf(1181,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1157]) ).
thf(1182,plain,
! [SV132: $i,SV118: $i,SV102: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SV132 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV132 ) )
= $true )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1158]) ).
thf(1183,plain,
! [SV133: $i,SV119: $i,SV103: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SV133 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV133 ) )
= $true )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1159]) ).
thf(1184,plain,
! [SV134: $i,SV120: $i,SV104: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SV134 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV134 ) )
= $true )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1160]) ).
thf(1185,plain,
! [SV135: $i,SV121: $i,SV105: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SV135 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV135 ) )
= $true )
| ( ( isPrime0 @ SV121 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1161]) ).
thf(1186,plain,
! [SV122: $i,SV106: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1162]) ).
thf(1187,plain,
! [SV123: $i,SV107: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1163]) ).
thf(1188,plain,
! [SV124: $i,SV108: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV124 @ SV24 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) ) )
= $true )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1164]) ).
thf(1189,plain,
! [SV125: $i,SV109: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV125 @ SV24 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true )
| ( ( isPrime0 @ SV125 )
= $false )
| ( ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV24 @ SV109 ) )
= $false )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1165]) ).
thf(1190,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 ) ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1166]) ).
thf(1191,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) ) ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1167]) ).
thf(1192,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 ) ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1168]) ).
thf(1193,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) ) ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1194,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 ) ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1170]) ).
thf(1195,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) ) ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1196,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 ) ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1172]) ).
thf(1197,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) ) ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1173]) ).
thf(1198,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 ) ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1174]) ).
thf(1199,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) ) ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1200,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 ) ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1176]) ).
thf(1201,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) ) ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1202,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 ) ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1178]) ).
thf(1203,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) ) ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1179]) ).
thf(1204,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 ) ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1180]) ).
thf(1205,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) ) ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1181]) ).
thf(1206,plain,
! [SV132: $i,SV118: $i,SV102: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV132 ) )
= $true )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1182]) ).
thf(1207,plain,
! [SV133: $i,SV119: $i,SV103: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV133 ) )
= $true )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1183]) ).
thf(1208,plain,
! [SV134: $i,SV120: $i,SV104: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV134 ) )
= $true )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1209,plain,
! [SV135: $i,SV121: $i,SV105: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV105 )
= ( sdtasdt0 @ SV121 @ SV135 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV135 ) )
= $true )
| ( ( isPrime0 @ SV121 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1185]) ).
thf(1210,plain,
! [SV122: $i,SV106: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1211,plain,
! [SV123: $i,SV107: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1187]) ).
thf(1212,plain,
! [SV124: $i,SV108: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV124 @ SV24 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) ) )
= $true )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1213,plain,
! [SV125: $i,SV109: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV125 @ SV24 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true )
| ( ( isPrime0 @ SV125 )
= $false )
| ( ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV24 @ SV109 ) )
= $false )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1189]) ).
thf(1214,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1190]) ).
thf(1215,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1191]) ).
thf(1216,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1192]) ).
thf(1217,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1218,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1219,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1220,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1221,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1197]) ).
thf(1222,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1198]) ).
thf(1223,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1199]) ).
thf(1224,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1200]) ).
thf(1225,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1201]) ).
thf(1226,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1202]) ).
thf(1227,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1203]) ).
thf(1228,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1204]) ).
thf(1229,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1205]) ).
thf(1230,plain,
! [SV118: $i,SV102: $i,SV24: $i,SV132: $i] :
( ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1206]) ).
thf(1231,plain,
! [SV119: $i,SV103: $i,SV24: $i,SV133: $i] :
( ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1207]) ).
thf(1232,plain,
! [SV120: $i,SV104: $i,SV24: $i,SV134: $i] :
( ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1233,plain,
! [SV121: $i,SV105: $i,SV24: $i,SV135: $i] :
( ( ( aNaturalNumber0 @ SV135 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV105 )
= ( sdtasdt0 @ SV121 @ SV135 ) )
= $false )
| ( ( isPrime0 @ SV121 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1234,plain,
! [SV106: $i,SV122: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1210]) ).
thf(1235,plain,
! [SV107: $i,SV123: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) ) )
= $true )
| ( ( doDivides0 @ SV123 @ SV107 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1211]) ).
thf(1236,plain,
! [SV108: $i,SV24: $i,SV124: $i] :
( ( ( doDivides0 @ SV124 @ SV24 )
= $true )
| ( ( ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1212]) ).
thf(1237,plain,
! [SV109: $i,SV24: $i,SV125: $i] :
( ( ( doDivides0 @ SV125 @ SV24 )
= $true )
| ( ( doDivides0 @ SV125 @ SV109 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV125 )
= $false )
| ( ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV24 @ SV109 ) )
= $false )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1213]) ).
thf(1238,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1214]) ).
thf(1239,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1214]) ).
thf(1240,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1215]) ).
thf(1241,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1215]) ).
thf(1242,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1216]) ).
thf(1243,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1216]) ).
thf(1244,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1217]) ).
thf(1245,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1217]) ).
thf(1246,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1247,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1248,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1219]) ).
thf(1249,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1219]) ).
thf(1250,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1220]) ).
thf(1251,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1220]) ).
thf(1252,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1221]) ).
thf(1253,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1221]) ).
thf(1254,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1222]) ).
thf(1255,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1222]) ).
thf(1256,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1223]) ).
thf(1257,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1223]) ).
thf(1258,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1259,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1224]) ).
thf(1260,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1225]) ).
thf(1261,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1225]) ).
thf(1262,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1263,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1264,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1227]) ).
thf(1265,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1227]) ).
thf(1266,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1267,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1268,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1269,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1270,plain,
! [SV132: $i,SV118: $i,SV102: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1230]) ).
thf(1271,plain,
! [SV133: $i,SV119: $i,SV103: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1231]) ).
thf(1272,plain,
! [SV134: $i,SV120: $i,SV104: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1232]) ).
thf(1273,plain,
! [SV135: $i,SV121: $i,SV105: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( isPrime0 @ SV121 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV105 )
= ( sdtasdt0 @ SV121 @ SV135 ) )
= $false )
| ( ( aNaturalNumber0 @ SV135 )
= $false )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1233]) ).
thf(1274,plain,
! [SV106: $i,SV122: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1275,plain,
! [SV107: $i,SV123: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV123 @ SV107 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1276,plain,
! [SV24: $i,SV124: $i,SV108: $i] :
( ( ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV124 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1277,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1238]) ).
thf(1278,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1239]) ).
thf(1279,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= sz10 ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1240]) ).
thf(1280,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
!= SV110 ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1241]) ).
thf(1281,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1282,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1243]) ).
thf(1283,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= sz10 ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1244]) ).
thf(1284,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
!= SV111 ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1285,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1246]) ).
thf(1286,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1287,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= sz10 ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1248]) ).
thf(1288,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
!= SV112 ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1249]) ).
thf(1289,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1250]) ).
thf(1290,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1251]) ).
thf(1291,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= sz10 ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1252]) ).
thf(1292,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
!= SV113 ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1253]) ).
thf(1293,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1254]) ).
thf(1294,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1255]) ).
thf(1295,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= sz10 ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1256]) ).
thf(1296,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
!= SV114 ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1257]) ).
thf(1297,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1258]) ).
thf(1298,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1259]) ).
thf(1299,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= sz10 ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1260]) ).
thf(1300,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
!= SV115 ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1261]) ).
thf(1301,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1262]) ).
thf(1302,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1263]) ).
thf(1303,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= sz10 ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1264]) ).
thf(1304,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
!= SV116 ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1265]) ).
thf(1305,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1306,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1267]) ).
thf(1307,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= sz10 ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1268]) ).
thf(1308,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
!= SV117 ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1269]) ).
thf(1309,plain,
! [SV132: $i,SV118: $i,SV102: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1270]) ).
thf(1310,plain,
! [SV133: $i,SV119: $i,SV103: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1311,plain,
! [SV134: $i,SV120: $i,SV104: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV120 @ SV24 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1272]) ).
thf(1312,plain,
! [SV135: $i,SV121: $i,SV105: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV121 @ SV24 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( isPrime0 @ SV121 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV105 )
= ( sdtasdt0 @ SV121 @ SV135 ) )
= $false )
| ( ( aNaturalNumber0 @ SV135 )
= $false )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1313,plain,
! [SV106: $i,SV122: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1274]) ).
thf(1314,plain,
! [SV24: $i,SV106: $i,SV122: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1274]) ).
thf(1315,plain,
! [SV107: $i,SV123: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV123 @ SV107 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1275]) ).
thf(1316,plain,
! [SV24: $i,SV107: $i,SV123: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV123 @ SV107 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1275]) ).
thf(1317,plain,
! [SV24: $i,SV124: $i,SV108: $i] :
( ( ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV124 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1318,plain,
! [SV24: $i,SV108: $i,SV124: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV124 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1319,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1320,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1278]) ).
thf(1321,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1322,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1280]) ).
thf(1323,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1281]) ).
thf(1324,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1282]) ).
thf(1325,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= sz10 )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1326,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= SV111 )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1284]) ).
thf(1327,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1285]) ).
thf(1328,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1286]) ).
thf(1329,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= sz10 )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1287]) ).
thf(1330,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= SV112 )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1288]) ).
thf(1331,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1289]) ).
thf(1332,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1290]) ).
thf(1333,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= sz10 )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1291]) ).
thf(1334,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= SV113 )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1335,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1336,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1294]) ).
thf(1337,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1338,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1296]) ).
thf(1339,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1340,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1298]) ).
thf(1341,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= sz10 )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1342,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= SV115 )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1300]) ).
thf(1343,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1301]) ).
thf(1344,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1302]) ).
thf(1345,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= sz10 )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1303]) ).
thf(1346,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= SV116 )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1304]) ).
thf(1347,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1348,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1306]) ).
thf(1349,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
= sz10 )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1307]) ).
thf(1350,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
= SV117 )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1308]) ).
thf(1351,plain,
! [SV132: $i,SV102: $i,SV118: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1309]) ).
thf(1352,plain,
! [SV133: $i,SV103: $i,SV119: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) ) )
= $true )
| ( ( doDivides0 @ SV119 @ SV103 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1310]) ).
thf(1353,plain,
! [SV134: $i,SV104: $i,SV24: $i,SV120: $i] :
( ( ( doDivides0 @ SV120 @ SV24 )
= $true )
| ( ( ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1311]) ).
thf(1354,plain,
! [SV135: $i,SV105: $i,SV24: $i,SV121: $i] :
( ( ( doDivides0 @ SV121 @ SV24 )
= $true )
| ( ( doDivides0 @ SV121 @ SV105 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV121 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV105 )
= ( sdtasdt0 @ SV121 @ SV135 ) )
= $false )
| ( ( aNaturalNumber0 @ SV135 )
= $false )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1312]) ).
thf(1355,plain,
! [SV106: $i,SV122: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
= $true )
| ( ( ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1313]) ).
thf(1356,plain,
! [SV24: $i,SV106: $i,SV122: $i] :
( ( ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) )
= $true )
| ( ( ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1314]) ).
thf(1357,plain,
! [SV107: $i,SV123: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV123 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV123 @ SV107 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1315]) ).
thf(1358,plain,
! [SV24: $i,SV107: $i,SV123: $i] :
( ( ( aNaturalNumber0 @ ( sK10_W3 @ SV123 @ SV107 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV123 @ SV107 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV24 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1316]) ).
thf(1359,plain,
! [SV24: $i,SV124: $i,SV108: $i] :
( ( ( SV108
= ( sdtasdt0 @ SV124 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV124 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1317]) ).
thf(1360,plain,
! [SV24: $i,SV108: $i,SV124: $i] :
( ( ( aNaturalNumber0 @ ( sK9_W3 @ SV124 @ SV108 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV124 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV24 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1318]) ).
thf(1361,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1319]) ).
thf(1362,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1319]) ).
thf(1363,plain,
! [SV136: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV136 ) )
| ~ ( aNaturalNumber0 @ SV136 ) )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1320]) ).
thf(1364,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1321]) ).
thf(1365,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1322]) ).
thf(1366,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1323]) ).
thf(1367,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1323]) ).
thf(1368,plain,
! [SV137: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV137 ) )
| ~ ( aNaturalNumber0 @ SV137 ) )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1324]) ).
thf(1369,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= sz10 )
= $false )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1325]) ).
thf(1370,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= SV111 )
= $false )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1326]) ).
thf(1371,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1327]) ).
thf(1372,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1327]) ).
thf(1373,plain,
! [SV138: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV138 ) )
| ~ ( aNaturalNumber0 @ SV138 ) )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1328]) ).
thf(1374,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= sz10 )
= $false )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1329]) ).
thf(1375,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= SV112 )
= $false )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1330]) ).
thf(1376,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1331]) ).
thf(1377,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1331]) ).
thf(1378,plain,
! [SV139: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV139 ) )
| ~ ( aNaturalNumber0 @ SV139 ) )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1332]) ).
thf(1379,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= sz10 )
= $false )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1333]) ).
thf(1380,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= SV113 )
= $false )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1334]) ).
thf(1381,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1335]) ).
thf(1382,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1335]) ).
thf(1383,plain,
! [SV98: $i,SV24: $i,SV114: $i] :
( ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1336]) ).
thf(1384,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1337]) ).
thf(1385,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1338]) ).
thf(1386,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1339]) ).
thf(1387,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1339]) ).
thf(1388,plain,
! [SV99: $i,SV24: $i,SV115: $i] :
( ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1340]) ).
thf(1389,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1341]) ).
thf(1390,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= SV115 )
= $false )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1342]) ).
thf(1391,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1343]) ).
thf(1392,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1343]) ).
thf(1393,plain,
! [SV100: $i,SV24: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1344]) ).
thf(1394,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1345]) ).
thf(1395,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= SV116 )
= $false )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1346]) ).
thf(1396,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1397,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1398,plain,
! [SV101: $i,SV24: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1348]) ).
thf(1399,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1349]) ).
thf(1400,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
= SV117 )
= $false )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1350]) ).
thf(1401,plain,
! [SV132: $i,SV102: $i,SV118: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1351]) ).
thf(1402,plain,
! [SV133: $i,SV103: $i,SV119: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV119 @ SV103 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1403,plain,
! [SV134: $i,SV24: $i,SV120: $i,SV104: $i] :
( ( ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV120 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1353]) ).
thf(1404,plain,
! [SV24: $i,SV122: $i,SV106: $i] :
( ( ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1355]) ).
thf(1405,plain,
! [SV24: $i,SV122: $i,SV106: $i] :
( ( ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1356]) ).
thf(1406,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1407,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1362]) ).
thf(1408,plain,
! [SV136: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV136 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV136 ) )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1363]) ).
thf(1409,plain,
! [SV140: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV140 ) )
| ~ ( aNaturalNumber0 @ SV140 ) )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(1410,plain,
! [SV141: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV141 ) )
| ~ ( aNaturalNumber0 @ SV141 ) )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1365]) ).
thf(1411,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1366]) ).
thf(1412,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1367]) ).
thf(1413,plain,
! [SV137: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV137 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV137 ) )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1368]) ).
thf(1414,plain,
! [SV142: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV142 ) )
| ~ ( aNaturalNumber0 @ SV142 ) )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= sz10 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(1415,plain,
! [SV143: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV143 ) )
| ~ ( aNaturalNumber0 @ SV143 ) )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= SV111 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1370]) ).
thf(1416,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1371]) ).
thf(1417,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1372]) ).
thf(1418,plain,
! [SV138: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV138 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV138 ) )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1373]) ).
thf(1419,plain,
! [SV144: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV144 ) )
| ~ ( aNaturalNumber0 @ SV144 ) )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= sz10 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1420,plain,
! [SV145: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV145 ) )
| ~ ( aNaturalNumber0 @ SV145 ) )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= SV112 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1375]) ).
thf(1421,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1376]) ).
thf(1422,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1377]) ).
thf(1423,plain,
! [SV139: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV139 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV139 ) )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1378]) ).
thf(1424,plain,
! [SV146: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV146 ) )
| ~ ( aNaturalNumber0 @ SV146 ) )
= $true )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= sz10 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1379]) ).
thf(1425,plain,
! [SV147: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV147 ) )
| ~ ( aNaturalNumber0 @ SV147 ) )
= $true )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= SV113 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1380]) ).
thf(1426,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1381]) ).
thf(1427,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1382]) ).
thf(1428,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1383]) ).
thf(1429,plain,
! [SV98: $i,SV24: $i,SV114: $i] :
( ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1384]) ).
thf(1430,plain,
! [SV98: $i,SV24: $i,SV114: $i] :
( ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1385]) ).
thf(1431,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1386]) ).
thf(1432,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1387]) ).
thf(1433,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1388]) ).
thf(1434,plain,
! [SV99: $i,SV24: $i,SV115: $i] :
( ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= sz10 )
= $false )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1435,plain,
! [SV99: $i,SV24: $i,SV115: $i] :
( ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= SV115 )
= $false )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1390]) ).
thf(1436,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1391]) ).
thf(1437,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1392]) ).
thf(1438,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1393]) ).
thf(1439,plain,
! [SV100: $i,SV24: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= sz10 )
= $false )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1394]) ).
thf(1440,plain,
! [SV100: $i,SV24: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= SV116 )
= $false )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1441,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1396]) ).
thf(1442,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1397]) ).
thf(1443,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1444,plain,
! [SV101: $i,SV24: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
= sz10 )
= $false )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1399]) ).
thf(1445,plain,
! [SV101: $i,SV24: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
= SV117 )
= $false )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1400]) ).
thf(1446,plain,
! [SV132: $i,SV102: $i,SV118: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1447,plain,
! [SV132: $i,SV24: $i,SV102: $i,SV118: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1448,plain,
! [SV133: $i,SV103: $i,SV119: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV119 @ SV103 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1402]) ).
thf(1449,plain,
! [SV133: $i,SV24: $i,SV103: $i,SV119: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV119 @ SV103 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1402]) ).
thf(1450,plain,
! [SV134: $i,SV24: $i,SV120: $i,SV104: $i] :
( ( ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV120 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1403]) ).
thf(1451,plain,
! [SV134: $i,SV24: $i,SV104: $i,SV120: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV120 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1403]) ).
thf(1452,plain,
! [SV24: $i,SV122: $i,SV106: $i] :
( ( ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1404]) ).
thf(1453,plain,
! [SV24: $i,SV106: $i,SV122: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1404]) ).
thf(1454,plain,
! [SV24: $i,SV122: $i,SV106: $i] :
( ( ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1405]) ).
thf(1455,plain,
! [SV24: $i,SV106: $i,SV122: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1405]) ).
thf(1456,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1406]) ).
thf(1457,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1407]) ).
thf(1458,plain,
! [SV136: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV136 ) )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1408]) ).
thf(1459,plain,
! [SV140: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV140 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV140 ) )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1409]) ).
thf(1460,plain,
! [SV141: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV141 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV141 ) )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1410]) ).
thf(1461,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1462,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1412]) ).
thf(1463,plain,
! [SV137: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV137 ) )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1413]) ).
thf(1464,plain,
! [SV142: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV142 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV142 ) )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= sz10 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1414]) ).
thf(1465,plain,
! [SV143: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV143 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV143 ) )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= SV111 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1415]) ).
thf(1466,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1467,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1417]) ).
thf(1468,plain,
! [SV138: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV138 ) )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1418]) ).
thf(1469,plain,
! [SV144: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV144 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV144 ) )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= sz10 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1419]) ).
thf(1470,plain,
! [SV145: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV145 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV145 ) )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= SV112 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1420]) ).
thf(1471,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1421]) ).
thf(1472,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1422]) ).
thf(1473,plain,
! [SV139: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV139 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV139 ) )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1423]) ).
thf(1474,plain,
! [SV146: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV146 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV146 ) )
= $true )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= sz10 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1424]) ).
thf(1475,plain,
! [SV147: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV147 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV147 ) )
= $true )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= SV113 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1425]) ).
thf(1476,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1477,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1427]) ).
thf(1478,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1479,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1429]) ).
thf(1480,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1430]) ).
thf(1481,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1482,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1432]) ).
thf(1483,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1433]) ).
thf(1484,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1434]) ).
thf(1485,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1435]) ).
thf(1486,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1487,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1437]) ).
thf(1488,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1438]) ).
thf(1489,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1439]) ).
thf(1490,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1440]) ).
thf(1491,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1492,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1442]) ).
thf(1493,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1494,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1444]) ).
thf(1495,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
= SV117 )
= $false )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1445]) ).
thf(1496,plain,
! [SV132: $i,SV102: $i,SV118: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
= $true )
| ( ( ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1446]) ).
thf(1497,plain,
! [SV132: $i,SV24: $i,SV102: $i,SV118: $i] :
( ( ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) )
= $true )
| ( ( ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1447]) ).
thf(1498,plain,
! [SV133: $i,SV103: $i,SV119: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV119 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV119 @ SV103 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1448]) ).
thf(1499,plain,
! [SV133: $i,SV24: $i,SV103: $i,SV119: $i] :
( ( ( aNaturalNumber0 @ ( sK14_W3 @ SV119 @ SV103 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV119 @ SV103 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1449]) ).
thf(1500,plain,
! [SV134: $i,SV24: $i,SV120: $i,SV104: $i] :
( ( ( SV104
= ( sdtasdt0 @ SV120 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV120 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1450]) ).
thf(1501,plain,
! [SV134: $i,SV24: $i,SV104: $i,SV120: $i] :
( ( ( aNaturalNumber0 @ ( sK13_W3 @ SV120 @ SV104 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV120 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1451]) ).
thf(1502,plain,
! [SV24: $i,SV122: $i,SV106: $i] :
( ( ( SV106
= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1452]) ).
thf(1503,plain,
! [SV24: $i,SV106: $i,SV122: $i] :
( ( ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV122 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1453]) ).
thf(1504,plain,
! [SV24: $i,SV122: $i,SV106: $i] :
( ( ( SV106
= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1454]) ).
thf(1505,plain,
! [SV24: $i,SV106: $i,SV122: $i] :
( ( ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV24 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV122 @ SV106 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV24 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1455]) ).
thf(1506,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ( SV110
!= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1456]) ).
thf(1507,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1456]) ).
thf(1508,plain,
! [SV148: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV148 ) )
| ~ ( aNaturalNumber0 @ SV148 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1457]) ).
thf(1509,plain,
! [SV110: $i,SV94: $i,SV24: $i,SV136: $i] :
( ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1510,plain,
! [SV140: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV140 ) )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1511,plain,
! [SV141: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV141 ) )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1512,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ( SV111
!= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1461]) ).
thf(1513,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1461]) ).
thf(1514,plain,
! [SV149: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV149 ) )
| ~ ( aNaturalNumber0 @ SV149 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1462]) ).
thf(1515,plain,
! [SV111: $i,SV95: $i,SV24: $i,SV137: $i] :
( ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1463]) ).
thf(1516,plain,
! [SV142: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV142 ) )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= sz10 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1464]) ).
thf(1517,plain,
! [SV143: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV143 ) )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= SV111 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1518,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ( SV112
!= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1519,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1520,plain,
! [SV150: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV150 ) )
| ~ ( aNaturalNumber0 @ SV150 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1467]) ).
thf(1521,plain,
! [SV112: $i,SV96: $i,SV24: $i,SV138: $i] :
( ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1468]) ).
thf(1522,plain,
! [SV144: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV144 ) )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= sz10 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1469]) ).
thf(1523,plain,
! [SV145: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV145 ) )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= SV112 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1470]) ).
thf(1524,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ( SV113
!= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1471]) ).
thf(1525,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1471]) ).
thf(1526,plain,
! [SV151: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV151 ) )
| ~ ( aNaturalNumber0 @ SV151 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1472]) ).
thf(1527,plain,
! [SV113: $i,SV97: $i,SV24: $i,SV139: $i] :
( ( ( aNaturalNumber0 @ SV139 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV139 ) )
= $false )
| ( ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1473]) ).
thf(1528,plain,
! [SV146: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV146 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV146 ) )
= $true )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= sz10 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1474]) ).
thf(1529,plain,
! [SV147: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV147 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV147 ) )
= $true )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= SV113 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1475]) ).
thf(1530,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ( SV114
!= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1476]) ).
thf(1531,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1476]) ).
thf(1532,plain,
! [SV98: $i,SV24: $i,SV114: $i] :
( ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1477]) ).
thf(1533,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1478]) ).
thf(1534,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1479]) ).
thf(1535,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1536,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ( SV115
!= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1481]) ).
thf(1537,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1481]) ).
thf(1538,plain,
! [SV99: $i,SV24: $i,SV115: $i] :
( ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1539,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1483]) ).
thf(1540,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1484]) ).
thf(1541,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1485]) ).
thf(1542,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ( SV116
!= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1543,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1544,plain,
! [SV100: $i,SV24: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1545,plain,
! [SV100: $i,SV24: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1488]) ).
thf(1546,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1489]) ).
thf(1547,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1490]) ).
thf(1548,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ( SV117
!= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1491]) ).
thf(1549,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1491]) ).
thf(1550,plain,
! [SV101: $i,SV24: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1492]) ).
thf(1551,plain,
! [SV101: $i,SV24: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ SV24 )
= $true )
| ( ( doDivides0 @ SV117 @ SV101 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ SV117 )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1493]) ).
thf(1552,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1494]) ).
thf(1553,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
= SV117 )
= $false )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1495]) ).
thf(1554,plain,
! [SV132: $i,SV24: $i,SV118: $i,SV102: $i] :
( ( ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1555,plain,
! [SV132: $i,SV24: $i,SV118: $i,SV102: $i] :
( ( ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1497]) ).
thf(1556,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1506]) ).
thf(1557,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1507]) ).
thf(1558,plain,
! [SV148: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV148 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV148 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1508]) ).
thf(1559,plain,
! [SV136: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1509]) ).
thf(1560,plain,
! [SV110: $i,SV94: $i,SV24: $i,SV140: $i] :
( ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1510]) ).
thf(1561,plain,
! [SV110: $i,SV94: $i,SV24: $i,SV141: $i] :
( ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1562,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( SV111
= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1512]) ).
thf(1563,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1513]) ).
thf(1564,plain,
! [SV149: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV149 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV149 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1514]) ).
thf(1565,plain,
! [SV137: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1515]) ).
thf(1566,plain,
! [SV111: $i,SV95: $i,SV24: $i,SV142: $i] :
( ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= sz10 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1516]) ).
thf(1567,plain,
! [SV111: $i,SV95: $i,SV24: $i,SV143: $i] :
( ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= SV111 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1517]) ).
thf(1568,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( SV112
= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1518]) ).
thf(1569,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1519]) ).
thf(1570,plain,
! [SV150: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV150 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV150 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1520]) ).
thf(1571,plain,
! [SV138: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1521]) ).
thf(1572,plain,
! [SV112: $i,SV96: $i,SV24: $i,SV144: $i] :
( ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= sz10 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1522]) ).
thf(1573,plain,
! [SV112: $i,SV96: $i,SV24: $i,SV145: $i] :
( ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= SV112 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1523]) ).
thf(1574,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( SV113
= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1524]) ).
thf(1575,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1525]) ).
thf(1576,plain,
! [SV151: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV151 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV151 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1526]) ).
thf(1577,plain,
! [SV139: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV139 ) )
= $false )
| ( ( aNaturalNumber0 @ SV139 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1527]) ).
thf(1578,plain,
! [SV113: $i,SV97: $i,SV24: $i,SV146: $i] :
( ( ( aNaturalNumber0 @ SV146 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV146 ) )
= $false )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= sz10 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1579,plain,
! [SV113: $i,SV97: $i,SV24: $i,SV147: $i] :
( ( ( aNaturalNumber0 @ SV147 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV147 ) )
= $false )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= SV113 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1529]) ).
thf(1580,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1530]) ).
thf(1581,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1531]) ).
thf(1582,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1532]) ).
thf(1583,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1533]) ).
thf(1584,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1534]) ).
thf(1585,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1535]) ).
thf(1586,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( SV115
= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1536]) ).
thf(1587,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1537]) ).
thf(1588,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1538]) ).
thf(1589,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1539]) ).
thf(1590,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1540]) ).
thf(1591,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1541]) ).
thf(1592,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( SV116
= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1593,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1543]) ).
thf(1594,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1544]) ).
thf(1595,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1545]) ).
thf(1596,plain,
! [SV100: $i,SV24: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1546]) ).
thf(1597,plain,
! [SV100: $i,SV24: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1547]) ).
thf(1598,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( SV117
= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1548]) ).
thf(1599,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1549]) ).
thf(1600,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1550]) ).
thf(1601,plain,
! [SV101: $i,SV24: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ SV24 )
= $true )
| ( ( doDivides0 @ SV117 @ SV101 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1552]) ).
thf(1602,plain,
! [SV101: $i,SV24: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ SV24 )
= $true )
| ( ( doDivides0 @ SV117 @ SV101 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV117 @ SV101 @ SV24 )
= SV117 )
= $false )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1553]) ).
thf(1603,plain,
! [SV132: $i,SV24: $i,SV118: $i,SV102: $i] :
( ( ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1554]) ).
thf(1604,plain,
! [SV132: $i,SV24: $i,SV102: $i,SV118: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1554]) ).
thf(1605,plain,
! [SV132: $i,SV24: $i,SV118: $i,SV102: $i] :
( ( ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1555]) ).
thf(1606,plain,
! [SV132: $i,SV24: $i,SV102: $i,SV118: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1555]) ).
thf(1607,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1556]) ).
thf(1608,plain,
! [SV24: $i,SV94: $i,SV110: $i] :
( ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1557]) ).
thf(1609,plain,
! [SV148: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV148 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1558]) ).
thf(1610,plain,
! [SV136: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1611,plain,
! [SV140: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1560]) ).
thf(1612,plain,
! [SV141: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1561]) ).
thf(1613,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1562]) ).
thf(1614,plain,
! [SV24: $i,SV95: $i,SV111: $i] :
( ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1563]) ).
thf(1615,plain,
! [SV149: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV149 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1616,plain,
! [SV137: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1565]) ).
thf(1617,plain,
! [SV142: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1566]) ).
thf(1618,plain,
! [SV143: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1567]) ).
thf(1619,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1568]) ).
thf(1620,plain,
! [SV24: $i,SV96: $i,SV112: $i] :
( ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1569]) ).
thf(1621,plain,
! [SV150: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV150 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1622,plain,
! [SV138: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1571]) ).
thf(1623,plain,
! [SV144: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1572]) ).
thf(1624,plain,
! [SV145: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1573]) ).
thf(1625,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113
= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1574]) ).
thf(1626,plain,
! [SV24: $i,SV97: $i,SV113: $i] :
( ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1575]) ).
thf(1627,plain,
! [SV151: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV151 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV151 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1576]) ).
thf(1628,plain,
! [SV139: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV139 ) )
= $false )
| ( ( aNaturalNumber0 @ SV139 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1577]) ).
thf(1629,plain,
! [SV146: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV146 ) )
= $false )
| ( ( aNaturalNumber0 @ SV146 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1578]) ).
thf(1630,plain,
! [SV147: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= SV113 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV147 ) )
= $false )
| ( ( aNaturalNumber0 @ SV147 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1579]) ).
thf(1631,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1580]) ).
thf(1632,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1581]) ).
thf(1633,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1582]) ).
thf(1634,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1635,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1636,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1584]) ).
thf(1637,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1585]) ).
thf(1638,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1586]) ).
thf(1639,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1587]) ).
thf(1640,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1588]) ).
thf(1641,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1589]) ).
thf(1642,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1589]) ).
thf(1643,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1590]) ).
thf(1644,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1591]) ).
thf(1645,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1592]) ).
thf(1646,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1593]) ).
thf(1647,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1594]) ).
thf(1648,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1595]) ).
thf(1649,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1595]) ).
thf(1650,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1596]) ).
thf(1651,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1597]) ).
thf(1652,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117
= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1598]) ).
thf(1653,plain,
! [SV24: $i,SV101: $i,SV117: $i] :
( ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1599]) ).
thf(1654,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1600]) ).
thf(1655,plain,
! [SV132: $i,SV24: $i,SV118: $i,SV102: $i] :
( ( ( SV102
= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1603]) ).
thf(1656,plain,
! [SV132: $i,SV24: $i,SV102: $i,SV118: $i] :
( ( ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV118 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1604]) ).
thf(1657,plain,
! [SV132: $i,SV24: $i,SV118: $i,SV102: $i] :
( ( ( SV102
= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1605]) ).
thf(1658,plain,
! [SV132: $i,SV24: $i,SV102: $i,SV118: $i] :
( ( ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV24 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV118 @ SV102 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1606]) ).
thf(1659,plain,
! [SV152: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV152 ) )
| ~ ( aNaturalNumber0 @ SV152 ) )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1607]) ).
thf(1660,plain,
! [SV153: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV153 ) )
| ~ ( aNaturalNumber0 @ SV153 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1608]) ).
thf(1661,plain,
! [SV110: $i,SV94: $i,SV24: $i,SV148: $i] :
( ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1662,plain,
! [SV136: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1610]) ).
thf(1663,plain,
! [SV140: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1611]) ).
thf(1664,plain,
! [SV141: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1612]) ).
thf(1665,plain,
! [SV154: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV154 ) )
| ~ ( aNaturalNumber0 @ SV154 ) )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1613]) ).
thf(1666,plain,
! [SV155: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV155 ) )
| ~ ( aNaturalNumber0 @ SV155 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1614]) ).
thf(1667,plain,
! [SV111: $i,SV95: $i,SV24: $i,SV149: $i] :
( ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1615]) ).
thf(1668,plain,
! [SV137: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1616]) ).
thf(1669,plain,
! [SV142: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1617]) ).
thf(1670,plain,
! [SV143: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1618]) ).
thf(1671,plain,
! [SV156: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV156 ) )
| ~ ( aNaturalNumber0 @ SV156 ) )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1619]) ).
thf(1672,plain,
! [SV157: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV157 ) )
| ~ ( aNaturalNumber0 @ SV157 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1620]) ).
thf(1673,plain,
! [SV112: $i,SV96: $i,SV24: $i,SV150: $i] :
( ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1621]) ).
thf(1674,plain,
! [SV138: $i,SV96: $i,SV24: $i,SV112: $i] :
( ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1622]) ).
thf(1675,plain,
! [SV144: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1623]) ).
thf(1676,plain,
! [SV145: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1624]) ).
thf(1677,plain,
! [SV158: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV158 ) )
| ~ ( aNaturalNumber0 @ SV158 ) )
= $true )
| ( ( SV113
= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1625]) ).
thf(1678,plain,
! [SV159: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV159 ) )
| ~ ( aNaturalNumber0 @ SV159 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1626]) ).
thf(1679,plain,
! [SV113: $i,SV97: $i,SV24: $i,SV151: $i] :
( ( ( aNaturalNumber0 @ SV151 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV151 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1627]) ).
thf(1680,plain,
! [SV139: $i,SV97: $i,SV24: $i,SV113: $i] :
( ( ( doDivides0 @ SV113 @ SV24 )
= $true )
| ( ( doDivides0 @ SV113 @ SV97 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ SV113 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV139 ) )
= $false )
| ( ( aNaturalNumber0 @ SV139 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1628]) ).
thf(1681,plain,
! [SV146: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV146 ) )
= $false )
| ( ( aNaturalNumber0 @ SV146 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1629]) ).
thf(1682,plain,
! [SV147: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= SV113 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV147 ) )
= $false )
| ( ( aNaturalNumber0 @ SV147 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1630]) ).
thf(1683,plain,
! [SV98: $i,SV24: $i,SV114: $i] :
( ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1631]) ).
thf(1684,plain,
! [SV98: $i,SV24: $i,SV114: $i] :
( ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1632]) ).
thf(1685,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1633]) ).
thf(1686,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1634]) ).
thf(1687,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1635]) ).
thf(1688,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1689,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1690,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1637]) ).
thf(1691,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1637]) ).
thf(1692,plain,
! [SV99: $i,SV24: $i,SV115: $i] :
( ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( SV115
= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1638]) ).
thf(1693,plain,
! [SV99: $i,SV24: $i,SV115: $i] :
( ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1639]) ).
thf(1694,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1640]) ).
thf(1695,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1641]) ).
thf(1696,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1642]) ).
thf(1697,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1643]) ).
thf(1698,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1643]) ).
thf(1699,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1644]) ).
thf(1700,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1644]) ).
thf(1701,plain,
! [SV100: $i,SV24: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( SV116
= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1645]) ).
thf(1702,plain,
! [SV100: $i,SV24: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1646]) ).
thf(1703,plain,
! [SV100: $i,SV24: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1647]) ).
thf(1704,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( SV100
= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1648]) ).
thf(1705,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1649]) ).
thf(1706,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1650]) ).
thf(1707,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1650]) ).
thf(1708,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1651]) ).
thf(1709,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1651]) ).
thf(1710,plain,
! [SV101: $i,SV24: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( SV117
= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1652]) ).
thf(1711,plain,
! [SV101: $i,SV24: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1653]) ).
thf(1712,plain,
! [SV101: $i,SV24: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ SV24 )
= $true )
| ( ( doDivides0 @ SV117 @ SV101 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1654]) ).
thf(1713,plain,
! [SV152: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV152 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV152 ) )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1659]) ).
thf(1714,plain,
! [SV153: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV153 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV153 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1660]) ).
thf(1715,plain,
! [SV148: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1661]) ).
thf(1716,plain,
! [SV136: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1662]) ).
thf(1717,plain,
! [SV140: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1663]) ).
thf(1718,plain,
! [SV141: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1664]) ).
thf(1719,plain,
! [SV154: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV154 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV154 ) )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1665]) ).
thf(1720,plain,
! [SV155: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV155 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV155 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1666]) ).
thf(1721,plain,
! [SV149: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1667]) ).
thf(1722,plain,
! [SV137: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1668]) ).
thf(1723,plain,
! [SV142: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1669]) ).
thf(1724,plain,
! [SV143: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1670]) ).
thf(1725,plain,
! [SV156: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV156 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV156 ) )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1671]) ).
thf(1726,plain,
! [SV157: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV157 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV157 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1672]) ).
thf(1727,plain,
! [SV150: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1673]) ).
thf(1728,plain,
! [SV138: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1674]) ).
thf(1729,plain,
! [SV144: $i,SV96: $i,SV24: $i,SV112: $i] :
( ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1675]) ).
thf(1730,plain,
! [SV145: $i,SV96: $i,SV24: $i,SV112: $i] :
( ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1676]) ).
thf(1731,plain,
! [SV158: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV158 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV158 ) )
= $true )
| ( ( SV113
= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1677]) ).
thf(1732,plain,
! [SV159: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( ( sdtasdt0 @ SV24 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV159 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV159 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1678]) ).
thf(1733,plain,
! [SV151: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV151 ) )
= $false )
| ( ( aNaturalNumber0 @ SV151 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1679]) ).
thf(1734,plain,
! [SV146: $i,SV97: $i,SV24: $i,SV113: $i] :
( ( ( doDivides0 @ SV113 @ SV24 )
= $true )
| ( ( doDivides0 @ SV113 @ SV97 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV146 ) )
= $false )
| ( ( aNaturalNumber0 @ SV146 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1681]) ).
thf(1735,plain,
! [SV147: $i,SV97: $i,SV24: $i,SV113: $i] :
( ( ( doDivides0 @ SV113 @ SV24 )
= $true )
| ( ( doDivides0 @ SV113 @ SV97 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV113 @ SV97 @ SV24 )
= SV113 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV147 ) )
= $false )
| ( ( aNaturalNumber0 @ SV147 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1682]) ).
thf(1736,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1683]) ).
thf(1737,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1684]) ).
thf(1738,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1685]) ).
thf(1739,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1686]) ).
thf(1740,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1687]) ).
thf(1741,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1688]) ).
thf(1742,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1689]) ).
thf(1743,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1690]) ).
thf(1744,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1691]) ).
thf(1745,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1692]) ).
thf(1746,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1693]) ).
thf(1747,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1694]) ).
thf(1748,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1697]) ).
thf(1749,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1698]) ).
thf(1750,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1699]) ).
thf(1751,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV115 @ SV99 @ SV24 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1700]) ).
thf(1752,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1701]) ).
thf(1753,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1702]) ).
thf(1754,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1703]) ).
thf(1755,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( SV100
= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1706]) ).
thf(1756,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1707]) ).
thf(1757,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( SV100
= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1708]) ).
thf(1758,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV116 @ SV100 @ SV24 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1709]) ).
thf(1759,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117
= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1710]) ).
thf(1760,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1711]) ).
thf(1761,plain,
! [SV152: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV152 ) )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1713]) ).
thf(1762,plain,
! [SV153: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV153 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1714]) ).
thf(1763,plain,
! [SV148: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1764,plain,
! [SV136: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1716]) ).
thf(1765,plain,
! [SV136: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1716]) ).
thf(1766,plain,
! [SV140: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1717]) ).
thf(1767,plain,
! [SV141: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1718]) ).
thf(1768,plain,
! [SV154: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV154 ) )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1719]) ).
thf(1769,plain,
! [SV155: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV155 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1770,plain,
! [SV149: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1721]) ).
thf(1771,plain,
! [SV137: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1722]) ).
thf(1772,plain,
! [SV137: $i,SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1722]) ).
thf(1773,plain,
! [SV142: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1723]) ).
thf(1774,plain,
! [SV143: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1724]) ).
thf(1775,plain,
! [SV156: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV156 ) )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1725]) ).
thf(1776,plain,
! [SV157: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV157 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1726]) ).
thf(1777,plain,
! [SV150: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1727]) ).
thf(1778,plain,
! [SV138: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1728]) ).
thf(1779,plain,
! [SV138: $i,SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1728]) ).
thf(1780,plain,
! [SV144: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1729]) ).
thf(1781,plain,
! [SV145: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1730]) ).
thf(1782,plain,
! [SV158: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV158 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV158 ) )
= $true )
| ( ( SV113
= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1731]) ).
thf(1783,plain,
! [SV159: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV159 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV159 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1732]) ).
thf(1784,plain,
! [SV151: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV151 ) )
= $false )
| ( ( aNaturalNumber0 @ SV151 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1733]) ).
thf(1785,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1736]) ).
thf(1786,plain,
! [SV114: $i,SV98: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1737]) ).
thf(1787,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1738]) ).
thf(1788,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1738]) ).
thf(1789,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1790,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1791,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1740]) ).
thf(1792,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1740]) ).
thf(1793,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1741]) ).
thf(1794,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1742]) ).
thf(1795,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1743]) ).
thf(1796,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1744]) ).
thf(1797,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1745]) ).
thf(1798,plain,
! [SV115: $i,SV99: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1746]) ).
thf(1799,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1747]) ).
thf(1800,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1747]) ).
thf(1801,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1752]) ).
thf(1802,plain,
! [SV116: $i,SV100: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV116 @ SV24 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1753]) ).
thf(1803,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1754]) ).
thf(1804,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1754]) ).
thf(1805,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117
= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1759]) ).
thf(1806,plain,
! [SV117: $i,SV101: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV117 @ SV24 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1760]) ).
thf(1807,plain,
! [SV110: $i,SV94: $i,SV24: $i,SV152: $i] :
( ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1761]) ).
thf(1808,plain,
! [SV110: $i,SV94: $i,SV24: $i,SV153: $i] :
( ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1762]) ).
thf(1809,plain,
! [SV148: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1763]) ).
thf(1810,plain,
! [SV136: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1764]) ).
thf(1811,plain,
! [SV136: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(1812,plain,
! [SV140: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1766]) ).
thf(1813,plain,
! [SV140: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1766]) ).
thf(1814,plain,
! [SV141: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1767]) ).
thf(1815,plain,
! [SV141: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1767]) ).
thf(1816,plain,
! [SV111: $i,SV95: $i,SV24: $i,SV154: $i] :
( ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( SV111
= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1768]) ).
thf(1817,plain,
! [SV111: $i,SV95: $i,SV24: $i,SV155: $i] :
( ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1769]) ).
thf(1818,plain,
! [SV149: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1770]) ).
thf(1819,plain,
! [SV137: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1771]) ).
thf(1820,plain,
! [SV137: $i,SV24: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1772]) ).
thf(1821,plain,
! [SV142: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1773]) ).
thf(1822,plain,
! [SV142: $i,SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1773]) ).
thf(1823,plain,
! [SV143: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1774]) ).
thf(1824,plain,
! [SV143: $i,SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1774]) ).
thf(1825,plain,
! [SV112: $i,SV96: $i,SV24: $i,SV156: $i] :
( ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( SV112
= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1775]) ).
thf(1826,plain,
! [SV112: $i,SV96: $i,SV24: $i,SV157: $i] :
( ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1776]) ).
thf(1827,plain,
! [SV150: $i,SV96: $i,SV24: $i,SV112: $i] :
( ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1777]) ).
thf(1828,plain,
! [SV138: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( SV96
= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1778]) ).
thf(1829,plain,
! [SV138: $i,SV24: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1779]) ).
thf(1830,plain,
! [SV144: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1780]) ).
thf(1831,plain,
! [SV144: $i,SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1780]) ).
thf(1832,plain,
! [SV145: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1781]) ).
thf(1833,plain,
! [SV145: $i,SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1781]) ).
thf(1834,plain,
! [SV113: $i,SV97: $i,SV24: $i,SV158: $i] :
( ( ( aNaturalNumber0 @ SV158 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV158 ) )
= $false )
| ( ( SV113
= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1782]) ).
thf(1835,plain,
! [SV113: $i,SV97: $i,SV24: $i,SV159: $i] :
( ( ( aNaturalNumber0 @ SV159 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV159 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1783]) ).
thf(1836,plain,
! [SV151: $i,SV97: $i,SV24: $i,SV113: $i] :
( ( ( doDivides0 @ SV113 @ SV24 )
= $true )
| ( ( doDivides0 @ SV113 @ SV97 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV151 ) )
= $false )
| ( ( aNaturalNumber0 @ SV151 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1784]) ).
thf(1837,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1785]) ).
thf(1838,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1786]) ).
thf(1839,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1787]) ).
thf(1840,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1788]) ).
thf(1841,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1789]) ).
thf(1842,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1790]) ).
thf(1843,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1791]) ).
thf(1844,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1792]) ).
thf(1845,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1793]) ).
thf(1846,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1793]) ).
thf(1847,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1794]) ).
thf(1848,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1794]) ).
thf(1849,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1795]) ).
thf(1850,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1795]) ).
thf(1851,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1796]) ).
thf(1852,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1796]) ).
thf(1853,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1797]) ).
thf(1854,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1798]) ).
thf(1855,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1799]) ).
thf(1856,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1800]) ).
thf(1857,plain,
! [SV100: $i,SV24: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1801]) ).
thf(1858,plain,
! [SV100: $i,SV24: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1802]) ).
thf(1859,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( SV100
= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1803]) ).
thf(1860,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1804]) ).
thf(1861,plain,
! [SV101: $i,SV24: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ SV24 )
= $true )
| ( ( doDivides0 @ SV117 @ SV101 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117
= ( sdtasdt0 @ ( sK17_W3 @ SV117 @ SV101 @ SV24 ) @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1805]) ).
thf(1862,plain,
! [SV101: $i,SV24: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ SV24 )
= $true )
| ( ( doDivides0 @ SV117 @ SV101 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV117 @ SV101 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV24 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1806]) ).
thf(1863,plain,
! [SV152: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1807]) ).
thf(1864,plain,
! [SV153: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1808]) ).
thf(1865,plain,
! [SV148: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1809]) ).
thf(1866,plain,
! [SV136: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1810]) ).
thf(1867,plain,
! [SV136: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1811]) ).
thf(1868,plain,
! [SV140: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1812]) ).
thf(1869,plain,
! [SV140: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1813]) ).
thf(1870,plain,
! [SV141: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1814]) ).
thf(1871,plain,
! [SV141: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1815]) ).
thf(1872,plain,
! [SV154: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1816]) ).
thf(1873,plain,
! [SV155: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1817]) ).
thf(1874,plain,
! [SV149: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1818]) ).
thf(1875,plain,
! [SV142: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1821]) ).
thf(1876,plain,
! [SV142: $i,SV24: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1822]) ).
thf(1877,plain,
! [SV143: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1823]) ).
thf(1878,plain,
! [SV143: $i,SV24: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV111 @ SV95 @ SV24 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1824]) ).
thf(1879,plain,
! [SV156: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1825]) ).
thf(1880,plain,
! [SV157: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1826]) ).
thf(1881,plain,
! [SV150: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1827]) ).
thf(1882,plain,
! [SV144: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( SV96
= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1830]) ).
thf(1883,plain,
! [SV144: $i,SV24: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1831]) ).
thf(1884,plain,
! [SV145: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( SV96
= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1832]) ).
thf(1885,plain,
! [SV145: $i,SV24: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV112 @ SV96 @ SV24 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1833]) ).
thf(1886,plain,
! [SV158: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113
= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV158 ) )
= $false )
| ( ( aNaturalNumber0 @ SV158 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1834]) ).
thf(1887,plain,
! [SV159: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV159 ) )
= $false )
| ( ( aNaturalNumber0 @ SV159 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1835]) ).
thf(1888,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1837]) ).
thf(1889,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1838]) ).
thf(1890,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1839]) ).
thf(1891,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1840]) ).
thf(1892,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1845]) ).
thf(1893,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1846]) ).
thf(1894,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1847]) ).
thf(1895,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1848]) ).
thf(1896,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1849]) ).
thf(1897,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1850]) ).
thf(1898,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1851]) ).
thf(1899,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV114 @ SV98 @ SV24 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1852]) ).
thf(1900,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1853]) ).
thf(1901,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1854]) ).
thf(1902,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1857]) ).
thf(1903,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1858]) ).
thf(1904,plain,
! [SV152: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1863]) ).
thf(1905,plain,
! [SV153: $i,SV110: $i,SV94: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1864]) ).
thf(1906,plain,
! [SV148: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1865]) ).
thf(1907,plain,
! [SV148: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1865]) ).
thf(1908,plain,
! [SV136: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1866]) ).
thf(1909,plain,
! [SV136: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1866]) ).
thf(1910,plain,
! [SV136: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1911,plain,
! [SV136: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1912,plain,
! [SV140: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1868]) ).
thf(1913,plain,
! [SV140: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1869]) ).
thf(1914,plain,
! [SV141: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1870]) ).
thf(1915,plain,
! [SV141: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1871]) ).
thf(1916,plain,
! [SV154: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1872]) ).
thf(1917,plain,
! [SV155: $i,SV111: $i,SV95: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1873]) ).
thf(1918,plain,
! [SV149: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1874]) ).
thf(1919,plain,
! [SV149: $i,SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1874]) ).
thf(1920,plain,
! [SV156: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1879]) ).
thf(1921,plain,
! [SV157: $i,SV112: $i,SV96: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV112 @ SV24 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1880]) ).
thf(1922,plain,
! [SV150: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1881]) ).
thf(1923,plain,
! [SV150: $i,SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1881]) ).
thf(1924,plain,
! [SV158: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113
= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV158 ) )
= $false )
| ( ( aNaturalNumber0 @ SV158 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1886]) ).
thf(1925,plain,
! [SV159: $i,SV113: $i,SV97: $i,SV24: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV113 @ SV24 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV159 ) )
= $false )
| ( ( aNaturalNumber0 @ SV159 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1887]) ).
thf(1926,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1888]) ).
thf(1927,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1888]) ).
thf(1928,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1889]) ).
thf(1929,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1889]) ).
thf(1930,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1890]) ).
thf(1931,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1890]) ).
thf(1932,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1891]) ).
thf(1933,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1891]) ).
thf(1934,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1900]) ).
thf(1935,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1900]) ).
thf(1936,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1901]) ).
thf(1937,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1901]) ).
thf(1938,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1902]) ).
thf(1939,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1902]) ).
thf(1940,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1903]) ).
thf(1941,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1903]) ).
thf(1942,plain,
! [SV152: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1904]) ).
thf(1943,plain,
! [SV153: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1905]) ).
thf(1944,plain,
! [SV148: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1906]) ).
thf(1945,plain,
! [SV148: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1907]) ).
thf(1946,plain,
! [SV136: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1908]) ).
thf(1947,plain,
! [SV136: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1909]) ).
thf(1948,plain,
! [SV136: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1910]) ).
thf(1949,plain,
! [SV136: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1911]) ).
thf(1950,plain,
! [SV140: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1912]) ).
thf(1951,plain,
! [SV140: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1912]) ).
thf(1952,plain,
! [SV140: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1913]) ).
thf(1953,plain,
! [SV140: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1913]) ).
thf(1954,plain,
! [SV141: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1914]) ).
thf(1955,plain,
! [SV141: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1914]) ).
thf(1956,plain,
! [SV141: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1915]) ).
thf(1957,plain,
! [SV141: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1915]) ).
thf(1958,plain,
! [SV154: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1916]) ).
thf(1959,plain,
! [SV155: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ~ ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1917]) ).
thf(1960,plain,
! [SV149: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1918]) ).
thf(1961,plain,
! [SV149: $i,SV24: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1919]) ).
thf(1962,plain,
! [SV156: $i,SV96: $i,SV24: $i,SV112: $i] :
( ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1920]) ).
thf(1963,plain,
! [SV157: $i,SV96: $i,SV24: $i,SV112: $i] :
( ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1921]) ).
thf(1964,plain,
! [SV150: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( SV96
= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1922]) ).
thf(1965,plain,
! [SV150: $i,SV24: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1923]) ).
thf(1966,plain,
! [SV158: $i,SV97: $i,SV24: $i,SV113: $i] :
( ( ( doDivides0 @ SV113 @ SV24 )
= $true )
| ( ( doDivides0 @ SV113 @ SV97 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113
= ( sdtasdt0 @ ( sK29_W3 @ SV113 @ SV97 @ SV24 ) @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV158 ) )
= $false )
| ( ( aNaturalNumber0 @ SV158 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1924]) ).
thf(1967,plain,
! [SV159: $i,SV97: $i,SV24: $i,SV113: $i] :
( ( ( doDivides0 @ SV113 @ SV24 )
= $true )
| ( ( doDivides0 @ SV113 @ SV97 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV113 @ SV97 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV159 ) )
= $false )
| ( ( aNaturalNumber0 @ SV159 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1925]) ).
thf(1968,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1926]) ).
thf(1969,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1927]) ).
thf(1970,plain,
! [SV98: $i,SV114: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1928]) ).
thf(1971,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1929]) ).
thf(1972,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1930]) ).
thf(1973,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1931]) ).
thf(1974,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1932]) ).
thf(1975,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1933]) ).
thf(1976,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1934]) ).
thf(1977,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK23_W3 @ SV115 @ SV99 @ SV24 ) @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1935]) ).
thf(1978,plain,
! [SV99: $i,SV115: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV115 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1936]) ).
thf(1979,plain,
! [SV24: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV115 @ SV99 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV24 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1937]) ).
thf(1980,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( SV100
= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1938]) ).
thf(1981,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK20_W3 @ SV116 @ SV100 @ SV24 ) @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1939]) ).
thf(1982,plain,
! [SV24: $i,SV116: $i,SV100: $i] :
( ( ( SV100
= ( sdtasdt0 @ SV116 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1940]) ).
thf(1983,plain,
! [SV24: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV116 @ SV100 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV24 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1941]) ).
thf(1984,plain,
! [SV152: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1942]) ).
thf(1985,plain,
! [SV153: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1943]) ).
thf(1986,plain,
! [SV148: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1944]) ).
thf(1987,plain,
! [SV148: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1945]) ).
thf(1988,plain,
! [SV140: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1950]) ).
thf(1989,plain,
! [SV140: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1951]) ).
thf(1990,plain,
! [SV140: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1952]) ).
thf(1991,plain,
! [SV140: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1953]) ).
thf(1992,plain,
! [SV141: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1954]) ).
thf(1993,plain,
! [SV141: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1955]) ).
thf(1994,plain,
! [SV141: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1956]) ).
thf(1995,plain,
! [SV141: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV110 @ SV94 @ SV24 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1957]) ).
thf(1996,plain,
! [SV154: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1958]) ).
thf(1997,plain,
! [SV155: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1959]) ).
thf(1998,plain,
! [SV156: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1962]) ).
thf(1999,plain,
! [SV157: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1963]) ).
thf(2000,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1968]) ).
thf(2001,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1969]) ).
thf(2002,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1970]) ).
thf(2003,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1971]) ).
thf(2004,plain,
! [SV152: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1984]) ).
thf(2005,plain,
! [SV152: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1984]) ).
thf(2006,plain,
! [SV153: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1985]) ).
thf(2007,plain,
! [SV153: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1985]) ).
thf(2008,plain,
! [SV148: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1986]) ).
thf(2009,plain,
! [SV148: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1986]) ).
thf(2010,plain,
! [SV148: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1987]) ).
thf(2011,plain,
! [SV148: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1987]) ).
thf(2012,plain,
! [SV154: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1996]) ).
thf(2013,plain,
! [SV154: $i,SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1996]) ).
thf(2014,plain,
! [SV155: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( ( SV24
!= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1997]) ).
thf(2015,plain,
! [SV155: $i,SV24: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1997]) ).
thf(2016,plain,
! [SV156: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1998]) ).
thf(2017,plain,
! [SV156: $i,SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1998]) ).
thf(2018,plain,
! [SV157: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1999]) ).
thf(2019,plain,
! [SV157: $i,SV24: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1999]) ).
thf(2020,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2000]) ).
thf(2021,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2000]) ).
thf(2022,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2001]) ).
thf(2023,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2001]) ).
thf(2024,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2002]) ).
thf(2025,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2002]) ).
thf(2026,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2003]) ).
thf(2027,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2003]) ).
thf(2028,plain,
! [SV152: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2004]) ).
thf(2029,plain,
! [SV152: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2005]) ).
thf(2030,plain,
! [SV153: $i,SV94: $i,SV110: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2006]) ).
thf(2031,plain,
! [SV153: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2007]) ).
thf(2032,plain,
! [SV148: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2008]) ).
thf(2033,plain,
! [SV148: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2009]) ).
thf(2034,plain,
! [SV148: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2010]) ).
thf(2035,plain,
! [SV148: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2011]) ).
thf(2036,plain,
! [SV154: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2012]) ).
thf(2037,plain,
! [SV154: $i,SV24: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK35_W3 @ SV111 @ SV95 @ SV24 ) @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2013]) ).
thf(2038,plain,
! [SV155: $i,SV95: $i,SV111: $i,SV24: $i] :
( ( ( SV24
= ( sdtasdt0 @ SV111 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2014]) ).
thf(2039,plain,
! [SV155: $i,SV24: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV111 @ SV95 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2015]) ).
thf(2040,plain,
! [SV156: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( SV96
= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2016]) ).
thf(2041,plain,
! [SV156: $i,SV24: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK32_W3 @ SV112 @ SV96 @ SV24 ) @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2017]) ).
thf(2042,plain,
! [SV157: $i,SV24: $i,SV112: $i,SV96: $i] :
( ( ( SV96
= ( sdtasdt0 @ SV112 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2018]) ).
thf(2043,plain,
! [SV157: $i,SV24: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV24 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV112 @ SV96 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2019]) ).
thf(2044,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2020]) ).
thf(2045,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2021]) ).
thf(2046,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2022]) ).
thf(2047,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK27_W3 @ SV114 @ SV98 @ SV24 ) @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2023]) ).
thf(2048,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2024]) ).
thf(2049,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV114 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2025]) ).
thf(2050,plain,
! [SV24: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2026]) ).
thf(2051,plain,
! [SV24: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV114 @ SV98 @ SV24 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV24 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2027]) ).
thf(2052,plain,
! [SV152: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2028]) ).
thf(2053,plain,
! [SV152: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2029]) ).
thf(2054,plain,
! [SV153: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2030]) ).
thf(2055,plain,
! [SV153: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2031]) ).
thf(2056,plain,
! [SV152: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2052]) ).
thf(2057,plain,
! [SV152: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2052]) ).
thf(2058,plain,
! [SV152: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2053]) ).
thf(2059,plain,
! [SV152: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2053]) ).
thf(2060,plain,
! [SV153: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2054]) ).
thf(2061,plain,
! [SV153: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2054]) ).
thf(2062,plain,
! [SV153: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2055]) ).
thf(2063,plain,
! [SV153: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2055]) ).
thf(2064,plain,
! [SV152: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2056]) ).
thf(2065,plain,
! [SV152: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2057]) ).
thf(2066,plain,
! [SV152: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2058]) ).
thf(2067,plain,
! [SV152: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK39_W3 @ SV110 @ SV94 @ SV24 ) @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2059]) ).
thf(2068,plain,
! [SV153: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2060]) ).
thf(2069,plain,
! [SV153: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( SV24
= ( sdtasdt0 @ SV110 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2061]) ).
thf(2070,plain,
! [SV153: $i,SV24: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2062]) ).
thf(2071,plain,
! [SV153: $i,SV24: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV24 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV110 @ SV94 @ SV24 ) )
= $true )
| ( ( ( sdtasdt0 @ SV24 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2063]) ).
thf(2072,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[162,2071,2070,2069,2068,2067,2066,2065,2064,2051,2050,2049,2048,2047,2046,2045,2044,2043,2042,2041,2040,2039,2038,2037,2036,2035,2034,2033,2032,1995,1994,1993,1992,1991,1990,1989,1988,1983,1982,1981,1980,1979,1978,1977,1976,1975,1974,1973,1972,1967,1966,1965,1964,1961,1960,1949,1948,1947,1946,1899,1898,1897,1896,1895,1894,1893,1892,1885,1884,1883,1882,1878,1877,1876,1875,1862,1861,1860,1859,1856,1855,1844,1843,1842,1841,1836,1829,1828,1820,1819,1758,1757,1756,1755,1751,1750,1749,1748,1735,1734,1712,1705,1704,1696,1695,1680,1658,1657,1656,1655,1602,1601,1551,1505,1504,1503,1502,1501,1500,1499,1498,1360,1359,1358,1357,1354,1237,1133,1116,1114,1097,1094,1074,1072,1071,1050,1043,998,997,994,992,944,939,938,937,932,909,908,901,899,872,871,830,827,826,825,824,797,789,788,787,780,779,778,761,760,743,720,717,707,705,704,703,702,685,679,678,675,674,673,664,660,657,656,655,638,632,604,586,567,560,559,557,556,549,548,540,539,530,529,520,519,512,506,504,503,502,442,430,429,421,417,416,408,384,382,356,354,352,350,346,344,332,220,194]) ).
thf(2073,plain,
( ( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xp ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(2074,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK39_W3 @ W2 @ W1 @ W0 ) @ ( sK40_SY98 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK40_SY98 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK39_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK39_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK39_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK39_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK38_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK38_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK35_W3 @ W2 @ W1 @ W0 ) @ ( sK36_SY97 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK36_SY97 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK35_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK35_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK35_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK35_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK34_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK34_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK32_W3 @ W2 @ W1 @ W0 ) @ ( sK33_SY96 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK33_SY96 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK32_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK32_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK32_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK32_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK31_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK31_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ ( sK30_SY95 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK30_SY95 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK29_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK29_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK27_W3 @ W2 @ W1 @ W0 ) @ ( sK28_SY94 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK28_SY94 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK27_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK27_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK27_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK27_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK26_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK26_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK23_W3 @ W2 @ W1 @ W0 ) @ ( sK24_SY93 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK24_SY93 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK23_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK23_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK23_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK23_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK22_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK22_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK20_W3 @ W2 @ W1 @ W0 ) @ ( sK21_SY92 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK21_SY92 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK20_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK20_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK20_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK20_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK19_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK19_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK17_W3 @ W2 @ W1 @ W0 ) @ ( sK18_SY91 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK18_SY91 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK17_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK17_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK17_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK17_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK16_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK16_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK14_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK14_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK12_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK12_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK10_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK10_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK9_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK9_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(2075,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
( ( xp
!= ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( aNaturalNumber0 @ W1 ) )
| ( W0 = sz10 )
| ( W0 = xp ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( doDivides0 @ W0 @ xp )
| ( W0 = sz10 )
| ( W0 = xp ) )
& ( xp != sz00 )
& ( xp != sz10 )
& ( isPrime0 @ xp )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ sK8_W0 ) )
& ( aNaturalNumber0 @ sK8_W0 )
& ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(2076,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xn )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xn ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(2077,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xm )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xm ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(2078,plain,
( ( ( xm != xp )
& ( xn != xp )
& ( ( sdtpldt0 @ xn @ sK7_W0 )
= xp )
& ( aNaturalNumber0 @ sK7_W0 )
& ( sdtlseqdt0 @ xn @ xp )
& ( ( sdtpldt0 @ xm @ sK6_W0 )
= xp )
& ( aNaturalNumber0 @ sK6_W0 )
& ( sdtlseqdt0 @ xm @ xp ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(2079,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ xk )
& ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(2080,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(2081,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(2082,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
( ( xr
!= ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( aNaturalNumber0 @ W1 ) )
| ( W0 = sz10 )
| ( W0 = xr ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( doDivides0 @ W0 @ xr )
| ( W0 = sz10 )
| ( W0 = xr ) )
& ( xr != sz10 )
& ( xr != sz00 )
& ( xk
= ( sdtasdt0 @ xr @ sK5_W0 ) )
& ( aNaturalNumber0 @ sK5_W0 )
& ( aNaturalNumber0 @ xr )
& ( doDivides0 @ xr @ xk )
& ( isPrime0 @ xr ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(2083,plain,
( ( ( ( sdtpldt0 @ xr @ sK4_W0 )
= xk )
& ( aNaturalNumber0 @ sK4_W0 )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sK3_W0 ) )
& ( aNaturalNumber0 @ sK3_W0 )
& ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(2084,plain,
( ( ( ( sdtpldt0 @ xp @ sK2_W0 )
= xk )
& ( aNaturalNumber0 @ sK2_W0 )
& ( sdtlseqdt0 @ xp @ xk ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(2085,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(2086,plain,
( ( aNaturalNumber0 @ sz00 )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(2087,plain,
( ( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(2088,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(2089,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(2090,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(2091,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(2092,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtpldt0 @ W0 @ sz00 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(2093,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(2094,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(2095,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz10 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(2096,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(2097,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
= ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(2098,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W0 @ W1 )
!= ( sdtpldt0 @ W0 @ W2 ) )
| ( W1 = W2 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W1 @ W0 )
!= ( sdtpldt0 @ W2 @ W0 ) )
| ( W1 = W2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(2099,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0 = sz00 )
| ( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) )
| ( W1 = W2 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) )
| ( W1 = W2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(2100,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
!= sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(2101,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(2102,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(2103,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W0 )
| ( W0 = W1 ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(2104,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(2105,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W1 != W0 )
| ( sdtlseqdt0 @ W0 @ W1 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( sdtlseqdt0 @ W1 @ W0 )
| ( sdtlseqdt0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(2106,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W0 @ W2 )
!= ( sdtpldt0 @ W1 @ W2 ) ) )
& ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W2 @ W0 )
!= ( sdtpldt0 @ W2 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ W2 @ W0 ) @ ( sdtpldt0 @ W2 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ W0 @ W2 ) @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(2107,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(2108,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sz10 != W0 )
| ( W0 = sz00 )
| ( W0 = sz10 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sdtlseqdt0 @ sz10 @ W0 )
| ( W0 = sz00 )
| ( W0 = sz10 ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(2109,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = sz00 )
| ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(2110,plain,
( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 )
| $true )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(2111,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( iLess0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(2112,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( doDivides0 @ W0 @ W1 )
| ~ ( doDivides0 @ W1 @ W2 )
| ( doDivides0 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(2113,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( doDivides0 @ W0 @ W1 )
| ~ ( doDivides0 @ W0 @ W2 )
| ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(2114,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( doDivides0 @ W0 @ W1 )
| ~ ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
| ( doDivides0 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(2115,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W1 = sz00 )
| ~ ( doDivides0 @ W0 @ W1 )
| ( sdtlseqdt0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(2116,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = sz00 )
| ~ ( doDivides0 @ W0 @ W1 )
| ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W2 @ ( sdtsldt0 @ W1 @ W0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(2117,plain,
( ( ! [W0: $i] :
( ( W0 = sz10 )
| ( W0 = sz00 )
| ~ ( aNaturalNumber0 @ W0 )
| ( ( aNaturalNumber0 @ ( sK1_W1 @ W0 ) )
& ( doDivides0 @ ( sK1_W1 @ W0 ) @ W0 )
& ( isPrime0 @ ( sK1_W1 @ W0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(2118,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ W0 )
!= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(2119,plain,
( ( ~ ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
| ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2079]) ).
thf(2120,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
| ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2083]) ).
thf(2121,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2092]) ).
thf(2122,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( ( sdtasdt0 @ SX1 @ SX0 )
!= ( sdtasdt0 @ SX2 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX0 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SX0 @ SX1 ) @ ( sdtasdt0 @ SX0 @ SX2 ) ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ ( sdtasdt0 @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2107]) ).
thf(2123,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xm ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2077]) ).
thf(2124,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2096]) ).
thf(2125,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= ( sdtpldt0 @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX1 @ SX0 )
!= ( sdtpldt0 @ SX2 @ SX0 ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2098]) ).
thf(2126,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX0 = SX1 )
| ~ ( sdtlseqdt0 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX0 @ SX2 )
!= ( sdtpldt0 @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX2 @ SX0 )
!= ( sdtpldt0 @ SX2 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SX2 @ SX0 ) @ ( sdtpldt0 @ SX2 @ SX1 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SX0 @ SX2 ) @ ( sdtpldt0 @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2106]) ).
thf(2127,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xm @ xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2078]) ).
thf(2128,plain,
( ( ~ ( ~ ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) )
| ~ ( sdtlseqdt0 @ xp @ xk ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2084]) ).
thf(2129,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2108]) ).
thf(2130,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
| ~ ( isPrime0 @ xr ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2082]) ).
thf(2131,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ SX0 )
!= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2118]) ).
thf(2132,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK39_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK40_SY98 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK38_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK37_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK35_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK36_SY97 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK34_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK32_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK33_SY96 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK31_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK30_SY95 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK27_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK28_SY94 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK26_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK25_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK23_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK24_SY93 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK22_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK20_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK21_SY92 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK19_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK17_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK18_SY91 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK16_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK15_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK14_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK12_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK11_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK10_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK9_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2074]) ).
thf(2133,plain,
( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2073]) ).
thf(2134,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xn ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2076]) ).
thf(2135,plain,
( ( ~ ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2080]) ).
thf(2136,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0 = sz00 )
| ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ SX1 @ SX0 )
!= ( sdtasdt0 @ SX2 @ SX0 ) )
| ( SX1 = SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2099]) ).
thf(2137,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2105]) ).
thf(2138,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2095]) ).
thf(2139,plain,
( ( ~ ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2081]) ).
thf(2140,plain,
( ( ~ ( ~ ( ( sz10 != sz00 ) )
| ~ ( aNaturalNumber0 @ sz10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2087]) ).
thf(2141,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2100]) ).
thf(2142,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ SX0 @ ( sdtpldt0 @ SX1 @ SX2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SX0 @ SX1 ) @ ( sdtasdt0 @ SX0 @ SX2 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SX1 @ SX2 ) @ SX0 )
= ( sdtpldt0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ ( sdtasdt0 @ SX2 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2097]) ).
thf(2143,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2075]) ).
thf(2144,plain,
( ( ! [SX0: $i] :
( ( SX0 = sz10 )
| ( SX0 = sz00 )
| ~ ( aNaturalNumber0 @ SX0 )
| ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SX0 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SX0 ) @ SX0 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2117]) ).
thf(2145,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[2085]) ).
thf(2146,plain,
! [SV161: $i] :
( ( ! [SY246: $i] :
( ~ ( aNaturalNumber0 @ SV161 )
| ~ ( aNaturalNumber0 @ SY246 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ SV161 @ SY246 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2088]) ).
thf(2147,plain,
! [SV162: $i] :
( ( ! [SY247: $i] :
( ~ ( aNaturalNumber0 @ SV162 )
| ~ ( aNaturalNumber0 @ SY247 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ SV162 @ SY247 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2089]) ).
thf(2148,plain,
! [SV163: $i] :
( ( ! [SY248: $i] :
( ~ ( aNaturalNumber0 @ SV163 )
| ~ ( aNaturalNumber0 @ SY248 )
| ( ( sdtpldt0 @ SV163 @ SY248 )
= ( sdtpldt0 @ SY248 @ SV163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2090]) ).
thf(2149,plain,
! [SV164: $i] :
( ( ! [SY249: $i,SY250: $i] :
( ~ ( aNaturalNumber0 @ SV164 )
| ~ ( aNaturalNumber0 @ SY249 )
| ~ ( aNaturalNumber0 @ SY250 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV164 @ SY249 ) @ SY250 )
= ( sdtpldt0 @ SV164 @ ( sdtpldt0 @ SY249 @ SY250 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2091]) ).
thf(2150,plain,
! [SV165: $i] :
( ( ! [SY251: $i] :
( ~ ( aNaturalNumber0 @ SV165 )
| ~ ( aNaturalNumber0 @ SY251 )
| ( ( sdtasdt0 @ SV165 @ SY251 )
= ( sdtasdt0 @ SY251 @ SV165 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2093]) ).
thf(2151,plain,
! [SV166: $i] :
( ( ! [SY252: $i,SY253: $i] :
( ~ ( aNaturalNumber0 @ SV166 )
| ~ ( aNaturalNumber0 @ SY252 )
| ~ ( aNaturalNumber0 @ SY253 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV166 @ SY252 ) @ SY253 )
= ( sdtasdt0 @ SV166 @ ( sdtasdt0 @ SY252 @ SY253 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2094]) ).
thf(2152,plain,
! [SV167: $i] :
( ( ! [SY254: $i] :
( ~ ( aNaturalNumber0 @ SV167 )
| ~ ( aNaturalNumber0 @ SY254 )
| ( ( sdtasdt0 @ SV167 @ SY254 )
!= sz00 )
| ( SV167 = sz00 )
| ( SY254 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2101]) ).
thf(2153,plain,
! [SV168: $i] :
( ( ~ ( aNaturalNumber0 @ SV168 )
| ( sdtlseqdt0 @ SV168 @ SV168 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2102]) ).
thf(2154,plain,
! [SV169: $i] :
( ( ! [SY255: $i] :
( ~ ( aNaturalNumber0 @ SV169 )
| ~ ( aNaturalNumber0 @ SY255 )
| ~ ( sdtlseqdt0 @ SV169 @ SY255 )
| ~ ( sdtlseqdt0 @ SY255 @ SV169 )
| ( SV169 = SY255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2103]) ).
thf(2155,plain,
! [SV170: $i] :
( ( ! [SY256: $i,SY257: $i] :
( ~ ( aNaturalNumber0 @ SV170 )
| ~ ( aNaturalNumber0 @ SY256 )
| ~ ( aNaturalNumber0 @ SY257 )
| ~ ( sdtlseqdt0 @ SV170 @ SY256 )
| ~ ( sdtlseqdt0 @ SY256 @ SY257 )
| ( sdtlseqdt0 @ SV170 @ SY257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2104]) ).
thf(2156,plain,
! [SV171: $i] :
( ( ! [SY258: $i] :
( ~ ( aNaturalNumber0 @ SV171 )
| ~ ( aNaturalNumber0 @ SY258 )
| ( SV171 = sz00 )
| ( sdtlseqdt0 @ SY258 @ ( sdtasdt0 @ SY258 @ SV171 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2109]) ).
thf(2157,plain,
( ( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2110]) ).
thf(2158,plain,
! [SV172: $i] :
( ( ! [SY259: $i] :
( ~ ( aNaturalNumber0 @ SV172 )
| ~ ( aNaturalNumber0 @ SY259 )
| ( SV172 = SY259 )
| ~ ( sdtlseqdt0 @ SV172 @ SY259 )
| ( iLess0 @ SV172 @ SY259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2111]) ).
thf(2159,plain,
! [SV173: $i] :
( ( ! [SY260: $i,SY261: $i] :
( ~ ( aNaturalNumber0 @ SV173 )
| ~ ( aNaturalNumber0 @ SY260 )
| ~ ( aNaturalNumber0 @ SY261 )
| ~ ( doDivides0 @ SV173 @ SY260 )
| ~ ( doDivides0 @ SY260 @ SY261 )
| ( doDivides0 @ SV173 @ SY261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2112]) ).
thf(2160,plain,
! [SV174: $i] :
( ( ! [SY262: $i,SY263: $i] :
( ~ ( aNaturalNumber0 @ SV174 )
| ~ ( aNaturalNumber0 @ SY262 )
| ~ ( aNaturalNumber0 @ SY263 )
| ~ ( doDivides0 @ SV174 @ SY262 )
| ~ ( doDivides0 @ SV174 @ SY263 )
| ( doDivides0 @ SV174 @ ( sdtpldt0 @ SY262 @ SY263 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2113]) ).
thf(2161,plain,
! [SV175: $i] :
( ( ! [SY264: $i,SY265: $i] :
( ~ ( aNaturalNumber0 @ SV175 )
| ~ ( aNaturalNumber0 @ SY264 )
| ~ ( aNaturalNumber0 @ SY265 )
| ~ ( doDivides0 @ SV175 @ SY264 )
| ~ ( doDivides0 @ SV175 @ ( sdtpldt0 @ SY264 @ SY265 ) )
| ( doDivides0 @ SV175 @ SY265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2114]) ).
thf(2162,plain,
! [SV176: $i] :
( ( ! [SY266: $i] :
( ~ ( aNaturalNumber0 @ SV176 )
| ~ ( aNaturalNumber0 @ SY266 )
| ( SY266 = sz00 )
| ~ ( doDivides0 @ SV176 @ SY266 )
| ( sdtlseqdt0 @ SV176 @ SY266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2115]) ).
thf(2163,plain,
! [SV177: $i] :
( ( ! [SY267: $i] :
( ~ ( aNaturalNumber0 @ SV177 )
| ~ ( aNaturalNumber0 @ SY267 )
| ( SV177 = sz00 )
| ~ ( doDivides0 @ SV177 @ SY267 )
| ! [SY268: $i] :
( ~ ( aNaturalNumber0 @ SY268 )
| ( ( sdtasdt0 @ SY268 @ ( sdtsldt0 @ SY267 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY268 @ SY267 ) @ SV177 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2116]) ).
thf(2164,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
| ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2119]) ).
thf(2165,plain,
( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
| ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2120]) ).
thf(2166,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2121]) ).
thf(2167,plain,
! [SV178: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY269: $i,SY270: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY269 )
| ~ ( aNaturalNumber0 @ SY270 )
| ( SV178 = sz00 )
| ( SY269 = SY270 )
| ~ ( sdtlseqdt0 @ SY269 @ SY270 )
| ( ( sdtasdt0 @ SY269 @ SV178 )
!= ( sdtasdt0 @ SY270 @ SV178 ) ) )
| ~ ~ ( ~ ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV178 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SV178 @ SY271 )
!= ( sdtasdt0 @ SV178 @ SY272 ) ) )
| ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV178 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SY273 ) @ ( sdtasdt0 @ SV178 @ SY274 ) ) ) ) )
| ~ ! [SY275: $i,SY276: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY275 )
| ~ ( aNaturalNumber0 @ SY276 )
| ( SV178 = sz00 )
| ( SY275 = SY276 )
| ~ ( sdtlseqdt0 @ SY275 @ SY276 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY275 @ SV178 ) @ ( sdtasdt0 @ SY276 @ SV178 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2122]) ).
thf(2168,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xm ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2123]) ).
thf(2169,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2124]) ).
thf(2170,plain,
! [SV179: $i] :
( ( ~ ( ~ ! [SY277: $i,SY278: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY277 )
| ~ ( aNaturalNumber0 @ SY278 )
| ( ( sdtpldt0 @ SV179 @ SY277 )
!= ( sdtpldt0 @ SV179 @ SY278 ) )
| ( SY277 = SY278 ) )
| ~ ! [SY279: $i,SY280: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY279 )
| ~ ( aNaturalNumber0 @ SY280 )
| ( ( sdtpldt0 @ SY279 @ SV179 )
!= ( sdtpldt0 @ SY280 @ SV179 ) )
| ( SY279 = SY280 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2125]) ).
thf(2171,plain,
! [SV180: $i] :
( ( ! [SY281: $i] :
( ~ ( aNaturalNumber0 @ SV180 )
| ~ ( aNaturalNumber0 @ SY281 )
| ( SV180 = SY281 )
| ~ ( sdtlseqdt0 @ SV180 @ SY281 )
| ~ ( ~ ~ ( ~ ! [SY282: $i] :
( ~ ( aNaturalNumber0 @ SY282 )
| ( ( sdtpldt0 @ SV180 @ SY282 )
!= ( sdtpldt0 @ SY281 @ SY282 ) ) )
| ~ ~ ( ~ ! [SY283: $i] :
( ~ ( aNaturalNumber0 @ SY283 )
| ( ( sdtpldt0 @ SY283 @ SV180 )
!= ( sdtpldt0 @ SY283 @ SY281 ) ) )
| ~ ! [SY284: $i] :
( ~ ( aNaturalNumber0 @ SY284 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY284 @ SV180 ) @ ( sdtpldt0 @ SY284 @ SY281 ) ) ) ) )
| ~ ! [SY285: $i] :
( ~ ( aNaturalNumber0 @ SY285 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY285 ) @ ( sdtpldt0 @ SY281 @ SY285 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2126]) ).
thf(2172,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xm @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2127]) ).
thf(2173,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) )
| ~ ( sdtlseqdt0 @ xp @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2128]) ).
thf(2174,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2129]) ).
thf(2175,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
| ~ ( isPrime0 @ xr ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2130]) ).
thf(2176,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ SX0 )
!= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2131]) ).
thf(2177,plain,
! [SV181: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY286: $i,SY287: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY286 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY287
!= ( sdtasdt0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ SY287 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= SY287 ) ) ) )
| ( SY287 = sz00 )
| ( SY287 = sz10 )
| ! [SY288: $i] :
( ( ( sdtasdt0 @ SV181 @ SY286 )
!= ( sdtasdt0 @ SY287 @ SY288 ) )
| ~ ( aNaturalNumber0 @ SY288 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY286 ) @ SY287 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY287 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( ( SY286
!= ( sdtasdt0 @ SY287 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) ) )
| ~ ! [SY289: $i,SY290: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY289 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY290
!= ( sdtasdt0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ SY290 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= SY290 ) ) ) )
| ( SY290 = sz00 )
| ( SY290 = sz10 )
| ! [SY291: $i] :
( ( ( sdtasdt0 @ SV181 @ SY289 )
!= ( sdtasdt0 @ SY290 @ SY291 ) )
| ~ ( aNaturalNumber0 @ SY291 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY289 ) @ SY290 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY290 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ( doDivides0 @ SY290 @ SY289 ) ) )
| ~ ~ ( ~ ! [SY292: $i,SY293: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY292 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY293
!= ( sdtasdt0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ SY293 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= SY293 ) ) ) )
| ( SY293 = sz00 )
| ( SY293 = sz10 )
| ! [SY294: $i] :
( ( ( sdtasdt0 @ SV181 @ SY292 )
!= ( sdtasdt0 @ SY293 @ SY294 ) )
| ~ ( aNaturalNumber0 @ SY294 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY292 ) @ SY293 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY293 @ SV181 )
| ~ ( ( SY292
!= ( sdtasdt0 @ SY293 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY295 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY296
!= ( sdtasdt0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ SY296 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= SY296 ) ) ) )
| ( SY296 = sz00 )
| ( SY296 = sz10 )
| ! [SY297: $i] :
( ( ( sdtasdt0 @ SV181 @ SY295 )
!= ( sdtasdt0 @ SY296 @ SY297 ) )
| ~ ( aNaturalNumber0 @ SY297 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY295 ) @ SY296 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY296 @ SV181 )
| ( doDivides0 @ SY296 @ SY295 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= SY299 ) ) ) )
| ( SY299 = sz00 )
| ( SY299 = sz10 )
| ~ ( doDivides0 @ SY299 @ ( sdtasdt0 @ SV181 @ SY298 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY298 ) @ SY299 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY299 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( ( SY298
!= ( sdtasdt0 @ SY299 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) ) )
| ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= SY301 ) ) ) )
| ( SY301 = sz00 )
| ( SY301 = sz10 )
| ~ ( doDivides0 @ SY301 @ ( sdtasdt0 @ SV181 @ SY300 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY300 ) @ SY301 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY301 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ( doDivides0 @ SY301 @ SY300 ) ) )
| ~ ~ ( ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= SY303 ) ) ) )
| ( SY303 = sz00 )
| ( SY303 = sz10 )
| ~ ( doDivides0 @ SY303 @ ( sdtasdt0 @ SV181 @ SY302 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY302 ) @ SY303 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY303 @ SV181 )
| ~ ( ( SY302
!= ( sdtasdt0 @ SY303 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) ) )
| ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY305
!= ( sdtasdt0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ SY305 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= SY305 ) ) ) )
| ( SY305 = sz00 )
| ( SY305 = sz10 )
| ~ ( doDivides0 @ SY305 @ ( sdtasdt0 @ SV181 @ SY304 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY305 @ SV181 )
| ( doDivides0 @ SY305 @ SY304 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY306: $i,SY307: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY306 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( isPrime0 @ SY307 )
| ! [SY308: $i] :
( ( ( sdtasdt0 @ SV181 @ SY306 )
!= ( sdtasdt0 @ SY307 @ SY308 ) )
| ~ ( aNaturalNumber0 @ SY308 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY306 ) @ SY307 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY307 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( ( SY306
!= ( sdtasdt0 @ SY307 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) ) )
| ~ ! [SY309: $i,SY310: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY309 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( isPrime0 @ SY310 )
| ! [SY311: $i] :
( ( ( sdtasdt0 @ SV181 @ SY309 )
!= ( sdtasdt0 @ SY310 @ SY311 ) )
| ~ ( aNaturalNumber0 @ SY311 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY309 ) @ SY310 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY310 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ( doDivides0 @ SY310 @ SY309 ) ) )
| ~ ~ ( ~ ! [SY312: $i,SY313: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY312 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( isPrime0 @ SY313 )
| ! [SY314: $i] :
( ( ( sdtasdt0 @ SV181 @ SY312 )
!= ( sdtasdt0 @ SY313 @ SY314 ) )
| ~ ( aNaturalNumber0 @ SY314 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY312 ) @ SY313 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY313 @ SV181 )
| ~ ( ( SY312
!= ( sdtasdt0 @ SY313 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) ) )
| ~ ! [SY315: $i,SY316: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY315 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( isPrime0 @ SY316 )
| ! [SY317: $i] :
( ( ( sdtasdt0 @ SV181 @ SY315 )
!= ( sdtasdt0 @ SY316 @ SY317 ) )
| ~ ( aNaturalNumber0 @ SY317 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY315 ) @ SY316 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY316 @ SV181 )
| ( doDivides0 @ SY316 @ SY315 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY318: $i,SY319: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY318 )
| ~ ( aNaturalNumber0 @ SY319 )
| ~ ( isPrime0 @ SY319 )
| ~ ( doDivides0 @ SY319 @ ( sdtasdt0 @ SV181 @ SY318 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY318 ) @ SY319 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY319 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( ( SY318
!= ( sdtasdt0 @ SY319 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) ) )
| ~ ! [SY320: $i,SY321: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY320 )
| ~ ( aNaturalNumber0 @ SY321 )
| ~ ( isPrime0 @ SY321 )
| ~ ( doDivides0 @ SY321 @ ( sdtasdt0 @ SV181 @ SY320 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY320 ) @ SY321 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY321 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ( doDivides0 @ SY321 @ SY320 ) ) )
| ~ ~ ( ~ ! [SY322: $i,SY323: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY322 )
| ~ ( aNaturalNumber0 @ SY323 )
| ~ ( isPrime0 @ SY323 )
| ~ ( doDivides0 @ SY323 @ ( sdtasdt0 @ SV181 @ SY322 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY322 ) @ SY323 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY323 @ SV181 )
| ~ ( ( SY322
!= ( sdtasdt0 @ SY323 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ~ ( isPrime0 @ SY325 )
| ~ ( doDivides0 @ SY325 @ ( sdtasdt0 @ SV181 @ SY324 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY324 ) @ SY325 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY325 @ SV181 )
| ( doDivides0 @ SY325 @ SY324 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2132]) ).
thf(2178,plain,
( ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2133]) ).
thf(2179,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xn ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2134]) ).
thf(2180,plain,
( ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2135]) ).
thf(2181,plain,
! [SV182: $i] :
( ( ~ ( aNaturalNumber0 @ SV182 )
| ( SV182 = sz00 )
| ~ ( ~ ! [SY326: $i,SY327: $i] :
( ~ ( aNaturalNumber0 @ SY326 )
| ~ ( aNaturalNumber0 @ SY327 )
| ( ( sdtasdt0 @ SV182 @ SY326 )
!= ( sdtasdt0 @ SV182 @ SY327 ) )
| ( SY326 = SY327 ) )
| ~ ! [SY328: $i,SY329: $i] :
( ~ ( aNaturalNumber0 @ SY328 )
| ~ ( aNaturalNumber0 @ SY329 )
| ( ( sdtasdt0 @ SY328 @ SV182 )
!= ( sdtasdt0 @ SY329 @ SV182 ) )
| ( SY328 = SY329 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2136]) ).
thf(2182,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2137]) ).
thf(2183,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2138]) ).
thf(2184,plain,
( ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2139]) ).
thf(2185,plain,
( ( ~ ( ( sz10 != sz00 ) )
| ~ ( aNaturalNumber0 @ sz10 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2140]) ).
thf(2186,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2141]) ).
thf(2187,plain,
! [SV183: $i] :
( ( ~ ( ~ ! [SY330: $i,SY331: $i] :
( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SY330 )
| ~ ( aNaturalNumber0 @ SY331 )
| ( ( sdtasdt0 @ SV183 @ ( sdtpldt0 @ SY330 @ SY331 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV183 @ SY330 ) @ ( sdtasdt0 @ SV183 @ SY331 ) ) ) )
| ~ ! [SY332: $i,SY333: $i] :
( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SY332 )
| ~ ( aNaturalNumber0 @ SY333 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY332 @ SY333 ) @ SV183 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY332 @ SV183 ) @ ( sdtasdt0 @ SY333 @ SV183 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2142]) ).
thf(2188,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2143]) ).
thf(2189,plain,
! [SV184: $i] :
( ( ( SV184 = sz10 )
| ( SV184 = sz00 )
| ~ ( aNaturalNumber0 @ SV184 )
| ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV184 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV184 ) @ SV184 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV184 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2144]) ).
thf(2190,plain,
! [SV185: $i,SV161: $i] :
( ( ~ ( aNaturalNumber0 @ SV161 )
| ~ ( aNaturalNumber0 @ SV185 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ SV161 @ SV185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2146]) ).
thf(2191,plain,
! [SV186: $i,SV162: $i] :
( ( ~ ( aNaturalNumber0 @ SV162 )
| ~ ( aNaturalNumber0 @ SV186 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ SV162 @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2147]) ).
thf(2192,plain,
! [SV187: $i,SV163: $i] :
( ( ~ ( aNaturalNumber0 @ SV163 )
| ~ ( aNaturalNumber0 @ SV187 )
| ( ( sdtpldt0 @ SV163 @ SV187 )
= ( sdtpldt0 @ SV187 @ SV163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2148]) ).
thf(2193,plain,
! [SV188: $i,SV164: $i] :
( ( ! [SY334: $i] :
( ~ ( aNaturalNumber0 @ SV164 )
| ~ ( aNaturalNumber0 @ SV188 )
| ~ ( aNaturalNumber0 @ SY334 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV164 @ SV188 ) @ SY334 )
= ( sdtpldt0 @ SV164 @ ( sdtpldt0 @ SV188 @ SY334 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2149]) ).
thf(2194,plain,
! [SV189: $i,SV165: $i] :
( ( ~ ( aNaturalNumber0 @ SV165 )
| ~ ( aNaturalNumber0 @ SV189 )
| ( ( sdtasdt0 @ SV165 @ SV189 )
= ( sdtasdt0 @ SV189 @ SV165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2150]) ).
thf(2195,plain,
! [SV190: $i,SV166: $i] :
( ( ! [SY335: $i] :
( ~ ( aNaturalNumber0 @ SV166 )
| ~ ( aNaturalNumber0 @ SV190 )
| ~ ( aNaturalNumber0 @ SY335 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV166 @ SV190 ) @ SY335 )
= ( sdtasdt0 @ SV166 @ ( sdtasdt0 @ SV190 @ SY335 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2151]) ).
thf(2196,plain,
! [SV191: $i,SV167: $i] :
( ( ~ ( aNaturalNumber0 @ SV167 )
| ~ ( aNaturalNumber0 @ SV191 )
| ( ( sdtasdt0 @ SV167 @ SV191 )
!= sz00 )
| ( SV167 = sz00 )
| ( SV191 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2152]) ).
thf(2197,plain,
! [SV168: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV168 ) )
= $true )
| ( ( sdtlseqdt0 @ SV168 @ SV168 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2153]) ).
thf(2198,plain,
! [SV192: $i,SV169: $i] :
( ( ~ ( aNaturalNumber0 @ SV169 )
| ~ ( aNaturalNumber0 @ SV192 )
| ~ ( sdtlseqdt0 @ SV169 @ SV192 )
| ~ ( sdtlseqdt0 @ SV192 @ SV169 )
| ( SV169 = SV192 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2154]) ).
thf(2199,plain,
! [SV193: $i,SV170: $i] :
( ( ! [SY336: $i] :
( ~ ( aNaturalNumber0 @ SV170 )
| ~ ( aNaturalNumber0 @ SV193 )
| ~ ( aNaturalNumber0 @ SY336 )
| ~ ( sdtlseqdt0 @ SV170 @ SV193 )
| ~ ( sdtlseqdt0 @ SV193 @ SY336 )
| ( sdtlseqdt0 @ SV170 @ SY336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2155]) ).
thf(2200,plain,
! [SV194: $i,SV171: $i] :
( ( ~ ( aNaturalNumber0 @ SV171 )
| ~ ( aNaturalNumber0 @ SV194 )
| ( SV171 = sz00 )
| ( sdtlseqdt0 @ SV194 @ ( sdtasdt0 @ SV194 @ SV171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2156]) ).
thf(2201,plain,
( ( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2157]) ).
thf(2202,plain,
! [SV195: $i,SV172: $i] :
( ( ~ ( aNaturalNumber0 @ SV172 )
| ~ ( aNaturalNumber0 @ SV195 )
| ( SV172 = SV195 )
| ~ ( sdtlseqdt0 @ SV172 @ SV195 )
| ( iLess0 @ SV172 @ SV195 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2158]) ).
thf(2203,plain,
! [SV196: $i,SV173: $i] :
( ( ! [SY337: $i] :
( ~ ( aNaturalNumber0 @ SV173 )
| ~ ( aNaturalNumber0 @ SV196 )
| ~ ( aNaturalNumber0 @ SY337 )
| ~ ( doDivides0 @ SV173 @ SV196 )
| ~ ( doDivides0 @ SV196 @ SY337 )
| ( doDivides0 @ SV173 @ SY337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2159]) ).
thf(2204,plain,
! [SV197: $i,SV174: $i] :
( ( ! [SY338: $i] :
( ~ ( aNaturalNumber0 @ SV174 )
| ~ ( aNaturalNumber0 @ SV197 )
| ~ ( aNaturalNumber0 @ SY338 )
| ~ ( doDivides0 @ SV174 @ SV197 )
| ~ ( doDivides0 @ SV174 @ SY338 )
| ( doDivides0 @ SV174 @ ( sdtpldt0 @ SV197 @ SY338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2160]) ).
thf(2205,plain,
! [SV198: $i,SV175: $i] :
( ( ! [SY339: $i] :
( ~ ( aNaturalNumber0 @ SV175 )
| ~ ( aNaturalNumber0 @ SV198 )
| ~ ( aNaturalNumber0 @ SY339 )
| ~ ( doDivides0 @ SV175 @ SV198 )
| ~ ( doDivides0 @ SV175 @ ( sdtpldt0 @ SV198 @ SY339 ) )
| ( doDivides0 @ SV175 @ SY339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2161]) ).
thf(2206,plain,
! [SV199: $i,SV176: $i] :
( ( ~ ( aNaturalNumber0 @ SV176 )
| ~ ( aNaturalNumber0 @ SV199 )
| ( SV199 = sz00 )
| ~ ( doDivides0 @ SV176 @ SV199 )
| ( sdtlseqdt0 @ SV176 @ SV199 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2162]) ).
thf(2207,plain,
! [SV200: $i,SV177: $i] :
( ( ~ ( aNaturalNumber0 @ SV177 )
| ~ ( aNaturalNumber0 @ SV200 )
| ( SV177 = sz00 )
| ~ ( doDivides0 @ SV177 @ SV200 )
| ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtasdt0 @ SY340 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY340 @ SV200 ) @ SV177 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2163]) ).
thf(2208,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2164]) ).
thf(2209,plain,
( ( ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2164]) ).
thf(2210,plain,
( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2165]) ).
thf(2211,plain,
( ( ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2165]) ).
thf(2212,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2166]) ).
thf(2213,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2166]) ).
thf(2214,plain,
! [SV178: $i] :
( ( ~ ~ ( ~ ! [SY269: $i,SY270: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY269 )
| ~ ( aNaturalNumber0 @ SY270 )
| ( SV178 = sz00 )
| ( SY269 = SY270 )
| ~ ( sdtlseqdt0 @ SY269 @ SY270 )
| ( ( sdtasdt0 @ SY269 @ SV178 )
!= ( sdtasdt0 @ SY270 @ SV178 ) ) )
| ~ ~ ( ~ ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV178 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SV178 @ SY271 )
!= ( sdtasdt0 @ SV178 @ SY272 ) ) )
| ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV178 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SY273 ) @ ( sdtasdt0 @ SV178 @ SY274 ) ) ) ) )
| ~ ! [SY275: $i,SY276: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY275 )
| ~ ( aNaturalNumber0 @ SY276 )
| ( SV178 = sz00 )
| ( SY275 = SY276 )
| ~ ( sdtlseqdt0 @ SY275 @ SY276 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY275 @ SV178 ) @ ( sdtasdt0 @ SY276 @ SV178 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2167]) ).
thf(2215,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2168]) ).
thf(2216,plain,
( ( ~ ~ ( sdtlseqdt0 @ xp @ xm ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2168]) ).
thf(2217,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2169]) ).
thf(2218,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2169]) ).
thf(2219,plain,
! [SV179: $i] :
( ( ~ ! [SY277: $i,SY278: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY277 )
| ~ ( aNaturalNumber0 @ SY278 )
| ( ( sdtpldt0 @ SV179 @ SY277 )
!= ( sdtpldt0 @ SV179 @ SY278 ) )
| ( SY277 = SY278 ) )
| ~ ! [SY279: $i,SY280: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY279 )
| ~ ( aNaturalNumber0 @ SY280 )
| ( ( sdtpldt0 @ SY279 @ SV179 )
!= ( sdtpldt0 @ SY280 @ SV179 ) )
| ( SY279 = SY280 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2170]) ).
thf(2220,plain,
! [SV201: $i,SV180: $i] :
( ( ~ ( aNaturalNumber0 @ SV180 )
| ~ ( aNaturalNumber0 @ SV201 )
| ( SV180 = SV201 )
| ~ ( sdtlseqdt0 @ SV180 @ SV201 )
| ~ ( ~ ~ ( ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( ( sdtpldt0 @ SV180 @ SY341 )
!= ( sdtpldt0 @ SV201 @ SY341 ) ) )
| ~ ~ ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) )
| ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) ) )
| ~ ! [SY344: $i] :
( ~ ( aNaturalNumber0 @ SY344 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY344 ) @ ( sdtpldt0 @ SV201 @ SY344 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2171]) ).
thf(2221,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2172]) ).
thf(2222,plain,
( ( ~ ( sdtlseqdt0 @ xm @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2172]) ).
thf(2223,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2173]) ).
thf(2224,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2173]) ).
thf(2225,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2174]) ).
thf(2226,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2174]) ).
thf(2227,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2175]) ).
thf(2228,plain,
( ( ~ ( isPrime0 @ xr ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2175]) ).
thf(2229,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ SX0 )
!= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2176]) ).
thf(2230,plain,
( ( ~ ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2176]) ).
thf(2231,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY286: $i,SY287: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY286 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY287
!= ( sdtasdt0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ SY287 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= SY287 ) ) ) )
| ( SY287 = sz00 )
| ( SY287 = sz10 )
| ! [SY288: $i] :
( ( ( sdtasdt0 @ SV181 @ SY286 )
!= ( sdtasdt0 @ SY287 @ SY288 ) )
| ~ ( aNaturalNumber0 @ SY288 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY286 ) @ SY287 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY287 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( ( SY286
!= ( sdtasdt0 @ SY287 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) ) )
| ~ ! [SY289: $i,SY290: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY289 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY290
!= ( sdtasdt0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ SY290 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= SY290 ) ) ) )
| ( SY290 = sz00 )
| ( SY290 = sz10 )
| ! [SY291: $i] :
( ( ( sdtasdt0 @ SV181 @ SY289 )
!= ( sdtasdt0 @ SY290 @ SY291 ) )
| ~ ( aNaturalNumber0 @ SY291 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY289 ) @ SY290 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY290 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ( doDivides0 @ SY290 @ SY289 ) ) )
| ~ ~ ( ~ ! [SY292: $i,SY293: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY292 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY293
!= ( sdtasdt0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ SY293 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= SY293 ) ) ) )
| ( SY293 = sz00 )
| ( SY293 = sz10 )
| ! [SY294: $i] :
( ( ( sdtasdt0 @ SV181 @ SY292 )
!= ( sdtasdt0 @ SY293 @ SY294 ) )
| ~ ( aNaturalNumber0 @ SY294 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY292 ) @ SY293 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY293 @ SV181 )
| ~ ( ( SY292
!= ( sdtasdt0 @ SY293 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY295 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY296
!= ( sdtasdt0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ SY296 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= SY296 ) ) ) )
| ( SY296 = sz00 )
| ( SY296 = sz10 )
| ! [SY297: $i] :
( ( ( sdtasdt0 @ SV181 @ SY295 )
!= ( sdtasdt0 @ SY296 @ SY297 ) )
| ~ ( aNaturalNumber0 @ SY297 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY295 ) @ SY296 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY296 @ SV181 )
| ( doDivides0 @ SY296 @ SY295 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= SY299 ) ) ) )
| ( SY299 = sz00 )
| ( SY299 = sz10 )
| ~ ( doDivides0 @ SY299 @ ( sdtasdt0 @ SV181 @ SY298 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY298 ) @ SY299 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY299 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( ( SY298
!= ( sdtasdt0 @ SY299 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) ) )
| ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= SY301 ) ) ) )
| ( SY301 = sz00 )
| ( SY301 = sz10 )
| ~ ( doDivides0 @ SY301 @ ( sdtasdt0 @ SV181 @ SY300 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY300 ) @ SY301 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY301 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ( doDivides0 @ SY301 @ SY300 ) ) )
| ~ ~ ( ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= SY303 ) ) ) )
| ( SY303 = sz00 )
| ( SY303 = sz10 )
| ~ ( doDivides0 @ SY303 @ ( sdtasdt0 @ SV181 @ SY302 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY302 ) @ SY303 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY303 @ SV181 )
| ~ ( ( SY302
!= ( sdtasdt0 @ SY303 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) ) )
| ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY305
!= ( sdtasdt0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ SY305 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= SY305 ) ) ) )
| ( SY305 = sz00 )
| ( SY305 = sz10 )
| ~ ( doDivides0 @ SY305 @ ( sdtasdt0 @ SV181 @ SY304 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY305 @ SV181 )
| ( doDivides0 @ SY305 @ SY304 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY306: $i,SY307: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY306 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( isPrime0 @ SY307 )
| ! [SY308: $i] :
( ( ( sdtasdt0 @ SV181 @ SY306 )
!= ( sdtasdt0 @ SY307 @ SY308 ) )
| ~ ( aNaturalNumber0 @ SY308 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY306 ) @ SY307 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY307 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( ( SY306
!= ( sdtasdt0 @ SY307 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) ) )
| ~ ! [SY309: $i,SY310: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY309 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( isPrime0 @ SY310 )
| ! [SY311: $i] :
( ( ( sdtasdt0 @ SV181 @ SY309 )
!= ( sdtasdt0 @ SY310 @ SY311 ) )
| ~ ( aNaturalNumber0 @ SY311 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY309 ) @ SY310 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY310 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ( doDivides0 @ SY310 @ SY309 ) ) )
| ~ ~ ( ~ ! [SY312: $i,SY313: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY312 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( isPrime0 @ SY313 )
| ! [SY314: $i] :
( ( ( sdtasdt0 @ SV181 @ SY312 )
!= ( sdtasdt0 @ SY313 @ SY314 ) )
| ~ ( aNaturalNumber0 @ SY314 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY312 ) @ SY313 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY313 @ SV181 )
| ~ ( ( SY312
!= ( sdtasdt0 @ SY313 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) ) )
| ~ ! [SY315: $i,SY316: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY315 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( isPrime0 @ SY316 )
| ! [SY317: $i] :
( ( ( sdtasdt0 @ SV181 @ SY315 )
!= ( sdtasdt0 @ SY316 @ SY317 ) )
| ~ ( aNaturalNumber0 @ SY317 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY315 ) @ SY316 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY316 @ SV181 )
| ( doDivides0 @ SY316 @ SY315 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY318: $i,SY319: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY318 )
| ~ ( aNaturalNumber0 @ SY319 )
| ~ ( isPrime0 @ SY319 )
| ~ ( doDivides0 @ SY319 @ ( sdtasdt0 @ SV181 @ SY318 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY318 ) @ SY319 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY319 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( ( SY318
!= ( sdtasdt0 @ SY319 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) ) )
| ~ ! [SY320: $i,SY321: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY320 )
| ~ ( aNaturalNumber0 @ SY321 )
| ~ ( isPrime0 @ SY321 )
| ~ ( doDivides0 @ SY321 @ ( sdtasdt0 @ SV181 @ SY320 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY320 ) @ SY321 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY321 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ( doDivides0 @ SY321 @ SY320 ) ) )
| ~ ~ ( ~ ! [SY322: $i,SY323: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY322 )
| ~ ( aNaturalNumber0 @ SY323 )
| ~ ( isPrime0 @ SY323 )
| ~ ( doDivides0 @ SY323 @ ( sdtasdt0 @ SV181 @ SY322 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY322 ) @ SY323 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY323 @ SV181 )
| ~ ( ( SY322
!= ( sdtasdt0 @ SY323 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ~ ( isPrime0 @ SY325 )
| ~ ( doDivides0 @ SY325 @ ( sdtasdt0 @ SV181 @ SY324 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY324 ) @ SY325 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY325 @ SV181 )
| ( doDivides0 @ SY325 @ SY324 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2177]) ).
thf(2232,plain,
( ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2178]) ).
thf(2233,plain,
( ( ~ ( aNaturalNumber0 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2178]) ).
thf(2234,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2179]) ).
thf(2235,plain,
( ( ~ ~ ( sdtlseqdt0 @ xp @ xn ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2179]) ).
thf(2236,plain,
( ( ~ ( ( xk != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2180]) ).
thf(2237,plain,
( ( ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2180]) ).
thf(2238,plain,
! [SV182: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV182 ) )
= $true )
| ( ( ( SV182 = sz00 )
| ~ ( ~ ! [SY326: $i,SY327: $i] :
( ~ ( aNaturalNumber0 @ SY326 )
| ~ ( aNaturalNumber0 @ SY327 )
| ( ( sdtasdt0 @ SV182 @ SY326 )
!= ( sdtasdt0 @ SV182 @ SY327 ) )
| ( SY326 = SY327 ) )
| ~ ! [SY328: $i,SY329: $i] :
( ~ ( aNaturalNumber0 @ SY328 )
| ~ ( aNaturalNumber0 @ SY329 )
| ( ( sdtasdt0 @ SY328 @ SV182 )
!= ( sdtasdt0 @ SY329 @ SV182 ) )
| ( SY328 = SY329 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2181]) ).
thf(2239,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2182]) ).
thf(2240,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2182]) ).
thf(2241,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2183]) ).
thf(2242,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2183]) ).
thf(2243,plain,
( ( ~ ( ( xk != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2184]) ).
thf(2244,plain,
( ( ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2184]) ).
thf(2245,plain,
( ( ~ ( ( sz10 != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2185]) ).
thf(2246,plain,
( ( ~ ( aNaturalNumber0 @ sz10 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2185]) ).
thf(2247,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2186]) ).
thf(2248,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2186]) ).
thf(2249,plain,
! [SV183: $i] :
( ( ~ ! [SY330: $i,SY331: $i] :
( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SY330 )
| ~ ( aNaturalNumber0 @ SY331 )
| ( ( sdtasdt0 @ SV183 @ ( sdtpldt0 @ SY330 @ SY331 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV183 @ SY330 ) @ ( sdtasdt0 @ SV183 @ SY331 ) ) ) )
| ~ ! [SY332: $i,SY333: $i] :
( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SY332 )
| ~ ( aNaturalNumber0 @ SY333 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY332 @ SY333 ) @ SV183 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY332 @ SV183 ) @ ( sdtasdt0 @ SY333 @ SV183 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2187]) ).
thf(2250,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2188]) ).
thf(2251,plain,
( ( ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2188]) ).
thf(2252,plain,
! [SV184: $i] :
( ( ( ( SV184 = sz10 )
| ( SV184 = sz00 )
| ~ ( aNaturalNumber0 @ SV184 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV184 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV184 ) @ SV184 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV184 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2189]) ).
thf(2253,plain,
! [SV185: $i,SV161: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV161 )
| ~ ( aNaturalNumber0 @ SV185 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV161 @ SV185 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2190]) ).
thf(2254,plain,
! [SV186: $i,SV162: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV162 )
| ~ ( aNaturalNumber0 @ SV186 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV162 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2191]) ).
thf(2255,plain,
! [SV187: $i,SV163: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV163 )
| ~ ( aNaturalNumber0 @ SV187 ) )
= $true )
| ( ( ( sdtpldt0 @ SV163 @ SV187 )
= ( sdtpldt0 @ SV187 @ SV163 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2192]) ).
thf(2256,plain,
! [SV202: $i,SV188: $i,SV164: $i] :
( ( ~ ( aNaturalNumber0 @ SV164 )
| ~ ( aNaturalNumber0 @ SV188 )
| ~ ( aNaturalNumber0 @ SV202 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV164 @ SV188 ) @ SV202 )
= ( sdtpldt0 @ SV164 @ ( sdtpldt0 @ SV188 @ SV202 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2193]) ).
thf(2257,plain,
! [SV189: $i,SV165: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV165 )
| ~ ( aNaturalNumber0 @ SV189 ) )
= $true )
| ( ( ( sdtasdt0 @ SV165 @ SV189 )
= ( sdtasdt0 @ SV189 @ SV165 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2194]) ).
thf(2258,plain,
! [SV203: $i,SV190: $i,SV166: $i] :
( ( ~ ( aNaturalNumber0 @ SV166 )
| ~ ( aNaturalNumber0 @ SV190 )
| ~ ( aNaturalNumber0 @ SV203 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV166 @ SV190 ) @ SV203 )
= ( sdtasdt0 @ SV166 @ ( sdtasdt0 @ SV190 @ SV203 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2195]) ).
thf(2259,plain,
! [SV191: $i,SV167: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV167 )
| ~ ( aNaturalNumber0 @ SV191 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV167 @ SV191 )
!= sz00 )
| ( SV167 = sz00 )
| ( SV191 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2196]) ).
thf(2260,plain,
! [SV168: $i] :
( ( ( aNaturalNumber0 @ SV168 )
= $false )
| ( ( sdtlseqdt0 @ SV168 @ SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2197]) ).
thf(2261,plain,
! [SV192: $i,SV169: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV169 )
| ~ ( aNaturalNumber0 @ SV192 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV169 @ SV192 )
| ~ ( sdtlseqdt0 @ SV192 @ SV169 )
| ( SV169 = SV192 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2198]) ).
thf(2262,plain,
! [SV204: $i,SV193: $i,SV170: $i] :
( ( ~ ( aNaturalNumber0 @ SV170 )
| ~ ( aNaturalNumber0 @ SV193 )
| ~ ( aNaturalNumber0 @ SV204 )
| ~ ( sdtlseqdt0 @ SV170 @ SV193 )
| ~ ( sdtlseqdt0 @ SV193 @ SV204 )
| ( sdtlseqdt0 @ SV170 @ SV204 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2199]) ).
thf(2263,plain,
! [SV194: $i,SV171: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV171 )
| ~ ( aNaturalNumber0 @ SV194 ) )
= $true )
| ( ( ( SV171 = sz00 )
| ( sdtlseqdt0 @ SV194 @ ( sdtasdt0 @ SV194 @ SV171 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2200]) ).
thf(2264,plain,
! [SV205: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV205 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2201]) ).
thf(2265,plain,
! [SV195: $i,SV172: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV172 )
| ~ ( aNaturalNumber0 @ SV195 ) )
= $true )
| ( ( ( SV172 = SV195 )
| ~ ( sdtlseqdt0 @ SV172 @ SV195 )
| ( iLess0 @ SV172 @ SV195 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2202]) ).
thf(2266,plain,
! [SV206: $i,SV196: $i,SV173: $i] :
( ( ~ ( aNaturalNumber0 @ SV173 )
| ~ ( aNaturalNumber0 @ SV196 )
| ~ ( aNaturalNumber0 @ SV206 )
| ~ ( doDivides0 @ SV173 @ SV196 )
| ~ ( doDivides0 @ SV196 @ SV206 )
| ( doDivides0 @ SV173 @ SV206 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2203]) ).
thf(2267,plain,
! [SV207: $i,SV197: $i,SV174: $i] :
( ( ~ ( aNaturalNumber0 @ SV174 )
| ~ ( aNaturalNumber0 @ SV197 )
| ~ ( aNaturalNumber0 @ SV207 )
| ~ ( doDivides0 @ SV174 @ SV197 )
| ~ ( doDivides0 @ SV174 @ SV207 )
| ( doDivides0 @ SV174 @ ( sdtpldt0 @ SV197 @ SV207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2204]) ).
thf(2268,plain,
! [SV208: $i,SV198: $i,SV175: $i] :
( ( ~ ( aNaturalNumber0 @ SV175 )
| ~ ( aNaturalNumber0 @ SV198 )
| ~ ( aNaturalNumber0 @ SV208 )
| ~ ( doDivides0 @ SV175 @ SV198 )
| ~ ( doDivides0 @ SV175 @ ( sdtpldt0 @ SV198 @ SV208 ) )
| ( doDivides0 @ SV175 @ SV208 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2205]) ).
thf(2269,plain,
! [SV199: $i,SV176: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV176 )
| ~ ( aNaturalNumber0 @ SV199 ) )
= $true )
| ( ( ( SV199 = sz00 )
| ~ ( doDivides0 @ SV176 @ SV199 )
| ( sdtlseqdt0 @ SV176 @ SV199 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2206]) ).
thf(2270,plain,
! [SV200: $i,SV177: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV177 )
| ~ ( aNaturalNumber0 @ SV200 ) )
= $true )
| ( ( ( SV177 = sz00 )
| ~ ( doDivides0 @ SV177 @ SV200 )
| ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtasdt0 @ SY340 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY340 @ SV200 ) @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2207]) ).
thf(2271,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2208]) ).
thf(2272,plain,
( ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2209]) ).
thf(2273,plain,
( ( ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2210]) ).
thf(2274,plain,
( ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2211]) ).
thf(2275,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2212]) ).
thf(2276,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2213]) ).
thf(2277,plain,
! [SV178: $i] :
( ( ~ ~ ( ~ ! [SY269: $i,SY270: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY269 )
| ~ ( aNaturalNumber0 @ SY270 )
| ( SV178 = sz00 )
| ( SY269 = SY270 )
| ~ ( sdtlseqdt0 @ SY269 @ SY270 )
| ( ( sdtasdt0 @ SY269 @ SV178 )
!= ( sdtasdt0 @ SY270 @ SV178 ) ) )
| ~ ~ ( ~ ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV178 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SV178 @ SY271 )
!= ( sdtasdt0 @ SV178 @ SY272 ) ) )
| ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV178 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SY273 ) @ ( sdtasdt0 @ SV178 @ SY274 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2214]) ).
thf(2278,plain,
! [SV178: $i] :
( ( ~ ! [SY275: $i,SY276: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY275 )
| ~ ( aNaturalNumber0 @ SY276 )
| ( SV178 = sz00 )
| ( SY275 = SY276 )
| ~ ( sdtlseqdt0 @ SY275 @ SY276 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY275 @ SV178 ) @ ( sdtasdt0 @ SY276 @ SV178 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2214]) ).
thf(2279,plain,
( ( ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2215]) ).
thf(2280,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2216]) ).
thf(2281,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2217]) ).
thf(2282,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2218]) ).
thf(2283,plain,
! [SV179: $i] :
( ( ~ ! [SY277: $i,SY278: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY277 )
| ~ ( aNaturalNumber0 @ SY278 )
| ( ( sdtpldt0 @ SV179 @ SY277 )
!= ( sdtpldt0 @ SV179 @ SY278 ) )
| ( SY277 = SY278 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2219]) ).
thf(2284,plain,
! [SV179: $i] :
( ( ~ ! [SY279: $i,SY280: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY279 )
| ~ ( aNaturalNumber0 @ SY280 )
| ( ( sdtpldt0 @ SY279 @ SV179 )
!= ( sdtpldt0 @ SY280 @ SV179 ) )
| ( SY279 = SY280 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2219]) ).
thf(2285,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV180 )
| ~ ( aNaturalNumber0 @ SV201 ) )
= $true )
| ( ( ( SV180 = SV201 )
| ~ ( sdtlseqdt0 @ SV180 @ SV201 )
| ~ ( ~ ~ ( ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( ( sdtpldt0 @ SV180 @ SY341 )
!= ( sdtpldt0 @ SV201 @ SY341 ) ) )
| ~ ~ ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) )
| ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) ) )
| ~ ! [SY344: $i] :
( ~ ( aNaturalNumber0 @ SY344 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY344 ) @ ( sdtpldt0 @ SV201 @ SY344 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2220]) ).
thf(2286,plain,
( ( ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2221]) ).
thf(2287,plain,
( ( sdtlseqdt0 @ xm @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2222]) ).
thf(2288,plain,
( ( ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2223]) ).
thf(2289,plain,
( ( sdtlseqdt0 @ xp @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2224]) ).
thf(2290,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2225]) ).
thf(2291,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2226]) ).
thf(2292,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2227]) ).
thf(2293,plain,
( ( isPrime0 @ xr )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2228]) ).
thf(2294,plain,
( ( ! [SX0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ SX0 )
!= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2229]) ).
thf(2295,plain,
( ( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2230]) ).
thf(2296,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY286: $i,SY287: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY286 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY287
!= ( sdtasdt0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ SY287 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= SY287 ) ) ) )
| ( SY287 = sz00 )
| ( SY287 = sz10 )
| ! [SY288: $i] :
( ( ( sdtasdt0 @ SV181 @ SY286 )
!= ( sdtasdt0 @ SY287 @ SY288 ) )
| ~ ( aNaturalNumber0 @ SY288 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY286 ) @ SY287 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY287 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( ( SY286
!= ( sdtasdt0 @ SY287 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) ) )
| ~ ! [SY289: $i,SY290: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY289 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY290
!= ( sdtasdt0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ SY290 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= SY290 ) ) ) )
| ( SY290 = sz00 )
| ( SY290 = sz10 )
| ! [SY291: $i] :
( ( ( sdtasdt0 @ SV181 @ SY289 )
!= ( sdtasdt0 @ SY290 @ SY291 ) )
| ~ ( aNaturalNumber0 @ SY291 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY289 ) @ SY290 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY290 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ( doDivides0 @ SY290 @ SY289 ) ) )
| ~ ~ ( ~ ! [SY292: $i,SY293: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY292 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY293
!= ( sdtasdt0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ SY293 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= SY293 ) ) ) )
| ( SY293 = sz00 )
| ( SY293 = sz10 )
| ! [SY294: $i] :
( ( ( sdtasdt0 @ SV181 @ SY292 )
!= ( sdtasdt0 @ SY293 @ SY294 ) )
| ~ ( aNaturalNumber0 @ SY294 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY292 ) @ SY293 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY293 @ SV181 )
| ~ ( ( SY292
!= ( sdtasdt0 @ SY293 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY295 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY296
!= ( sdtasdt0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ SY296 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= SY296 ) ) ) )
| ( SY296 = sz00 )
| ( SY296 = sz10 )
| ! [SY297: $i] :
( ( ( sdtasdt0 @ SV181 @ SY295 )
!= ( sdtasdt0 @ SY296 @ SY297 ) )
| ~ ( aNaturalNumber0 @ SY297 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY295 ) @ SY296 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY296 @ SV181 )
| ( doDivides0 @ SY296 @ SY295 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= SY299 ) ) ) )
| ( SY299 = sz00 )
| ( SY299 = sz10 )
| ~ ( doDivides0 @ SY299 @ ( sdtasdt0 @ SV181 @ SY298 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY298 ) @ SY299 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY299 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( ( SY298
!= ( sdtasdt0 @ SY299 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) ) )
| ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= SY301 ) ) ) )
| ( SY301 = sz00 )
| ( SY301 = sz10 )
| ~ ( doDivides0 @ SY301 @ ( sdtasdt0 @ SV181 @ SY300 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY300 ) @ SY301 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY301 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ( doDivides0 @ SY301 @ SY300 ) ) )
| ~ ~ ( ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= SY303 ) ) ) )
| ( SY303 = sz00 )
| ( SY303 = sz10 )
| ~ ( doDivides0 @ SY303 @ ( sdtasdt0 @ SV181 @ SY302 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY302 ) @ SY303 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY303 @ SV181 )
| ~ ( ( SY302
!= ( sdtasdt0 @ SY303 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) ) )
| ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY305
!= ( sdtasdt0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ SY305 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= SY305 ) ) ) )
| ( SY305 = sz00 )
| ( SY305 = sz10 )
| ~ ( doDivides0 @ SY305 @ ( sdtasdt0 @ SV181 @ SY304 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY305 @ SV181 )
| ( doDivides0 @ SY305 @ SY304 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2231]) ).
thf(2297,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY306: $i,SY307: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY306 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( isPrime0 @ SY307 )
| ! [SY308: $i] :
( ( ( sdtasdt0 @ SV181 @ SY306 )
!= ( sdtasdt0 @ SY307 @ SY308 ) )
| ~ ( aNaturalNumber0 @ SY308 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY306 ) @ SY307 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY307 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( ( SY306
!= ( sdtasdt0 @ SY307 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) ) )
| ~ ! [SY309: $i,SY310: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY309 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( isPrime0 @ SY310 )
| ! [SY311: $i] :
( ( ( sdtasdt0 @ SV181 @ SY309 )
!= ( sdtasdt0 @ SY310 @ SY311 ) )
| ~ ( aNaturalNumber0 @ SY311 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY309 ) @ SY310 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY310 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ( doDivides0 @ SY310 @ SY309 ) ) )
| ~ ~ ( ~ ! [SY312: $i,SY313: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY312 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( isPrime0 @ SY313 )
| ! [SY314: $i] :
( ( ( sdtasdt0 @ SV181 @ SY312 )
!= ( sdtasdt0 @ SY313 @ SY314 ) )
| ~ ( aNaturalNumber0 @ SY314 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY312 ) @ SY313 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY313 @ SV181 )
| ~ ( ( SY312
!= ( sdtasdt0 @ SY313 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) ) )
| ~ ! [SY315: $i,SY316: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY315 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( isPrime0 @ SY316 )
| ! [SY317: $i] :
( ( ( sdtasdt0 @ SV181 @ SY315 )
!= ( sdtasdt0 @ SY316 @ SY317 ) )
| ~ ( aNaturalNumber0 @ SY317 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY315 ) @ SY316 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY316 @ SV181 )
| ( doDivides0 @ SY316 @ SY315 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY318: $i,SY319: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY318 )
| ~ ( aNaturalNumber0 @ SY319 )
| ~ ( isPrime0 @ SY319 )
| ~ ( doDivides0 @ SY319 @ ( sdtasdt0 @ SV181 @ SY318 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY318 ) @ SY319 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY319 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( ( SY318
!= ( sdtasdt0 @ SY319 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) ) )
| ~ ! [SY320: $i,SY321: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY320 )
| ~ ( aNaturalNumber0 @ SY321 )
| ~ ( isPrime0 @ SY321 )
| ~ ( doDivides0 @ SY321 @ ( sdtasdt0 @ SV181 @ SY320 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY320 ) @ SY321 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY321 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ( doDivides0 @ SY321 @ SY320 ) ) )
| ~ ~ ( ~ ! [SY322: $i,SY323: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY322 )
| ~ ( aNaturalNumber0 @ SY323 )
| ~ ( isPrime0 @ SY323 )
| ~ ( doDivides0 @ SY323 @ ( sdtasdt0 @ SV181 @ SY322 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY322 ) @ SY323 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY323 @ SV181 )
| ~ ( ( SY322
!= ( sdtasdt0 @ SY323 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ~ ( isPrime0 @ SY325 )
| ~ ( doDivides0 @ SY325 @ ( sdtasdt0 @ SV181 @ SY324 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY324 ) @ SY325 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY325 @ SV181 )
| ( doDivides0 @ SY325 @ SY324 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2231]) ).
thf(2298,plain,
( ( ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2232]) ).
thf(2299,plain,
( ( aNaturalNumber0 @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2233]) ).
thf(2300,plain,
( ( ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2234]) ).
thf(2301,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xn ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2235]) ).
thf(2302,plain,
( ( ( xk != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2236]) ).
thf(2303,plain,
( ( ( xk != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2237]) ).
thf(2304,plain,
! [SV182: $i] :
( ( ( aNaturalNumber0 @ SV182 )
= $false )
| ( ( ( SV182 = sz00 )
| ~ ( ~ ! [SY326: $i,SY327: $i] :
( ~ ( aNaturalNumber0 @ SY326 )
| ~ ( aNaturalNumber0 @ SY327 )
| ( ( sdtasdt0 @ SV182 @ SY326 )
!= ( sdtasdt0 @ SV182 @ SY327 ) )
| ( SY326 = SY327 ) )
| ~ ! [SY328: $i,SY329: $i] :
( ~ ( aNaturalNumber0 @ SY328 )
| ~ ( aNaturalNumber0 @ SY329 )
| ( ( sdtasdt0 @ SY328 @ SV182 )
!= ( sdtasdt0 @ SY329 @ SV182 ) )
| ( SY328 = SY329 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2238]) ).
thf(2305,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2239]) ).
thf(2306,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2240]) ).
thf(2307,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2241]) ).
thf(2308,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2242]) ).
thf(2309,plain,
( ( ( xk != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2243]) ).
thf(2310,plain,
( ( ( xk != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2244]) ).
thf(2311,plain,
( ( ( sz10 != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2245]) ).
thf(2312,plain,
( ( aNaturalNumber0 @ sz10 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2246]) ).
thf(2313,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2247]) ).
thf(2314,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2248]) ).
thf(2315,plain,
! [SV183: $i] :
( ( ~ ! [SY330: $i,SY331: $i] :
( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SY330 )
| ~ ( aNaturalNumber0 @ SY331 )
| ( ( sdtasdt0 @ SV183 @ ( sdtpldt0 @ SY330 @ SY331 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV183 @ SY330 ) @ ( sdtasdt0 @ SV183 @ SY331 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2249]) ).
thf(2316,plain,
! [SV183: $i] :
( ( ~ ! [SY332: $i,SY333: $i] :
( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SY332 )
| ~ ( aNaturalNumber0 @ SY333 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY332 @ SY333 ) @ SV183 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY332 @ SV183 ) @ ( sdtasdt0 @ SY333 @ SV183 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2249]) ).
thf(2317,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2250]) ).
thf(2318,plain,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2251]) ).
thf(2319,plain,
! [SV184: $i] :
( ( ( SV184 = sz10 )
= $true )
| ( ( ( SV184 = sz00 )
| ~ ( aNaturalNumber0 @ SV184 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV184 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV184 ) @ SV184 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV184 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2252]) ).
thf(2320,plain,
! [SV185: $i,SV161: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV161 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV185 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV161 @ SV185 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2253]) ).
thf(2321,plain,
! [SV186: $i,SV162: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV162 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV186 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV162 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2254]) ).
thf(2322,plain,
! [SV187: $i,SV163: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV163 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV187 ) )
= $true )
| ( ( ( sdtpldt0 @ SV163 @ SV187 )
= ( sdtpldt0 @ SV187 @ SV163 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2255]) ).
thf(2323,plain,
! [SV202: $i,SV188: $i,SV164: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV164 )
| ~ ( aNaturalNumber0 @ SV188 )
| ~ ( aNaturalNumber0 @ SV202 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV164 @ SV188 ) @ SV202 )
= ( sdtpldt0 @ SV164 @ ( sdtpldt0 @ SV188 @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2256]) ).
thf(2324,plain,
! [SV189: $i,SV165: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV165 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV189 ) )
= $true )
| ( ( ( sdtasdt0 @ SV165 @ SV189 )
= ( sdtasdt0 @ SV189 @ SV165 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2257]) ).
thf(2325,plain,
! [SV203: $i,SV190: $i,SV166: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV166 )
| ~ ( aNaturalNumber0 @ SV190 )
| ~ ( aNaturalNumber0 @ SV203 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV166 @ SV190 ) @ SV203 )
= ( sdtasdt0 @ SV166 @ ( sdtasdt0 @ SV190 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2258]) ).
thf(2326,plain,
! [SV191: $i,SV167: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV167 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV191 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV167 @ SV191 )
!= sz00 )
| ( SV167 = sz00 )
| ( SV191 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2259]) ).
thf(2327,plain,
! [SV192: $i,SV169: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV169 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV192 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV169 @ SV192 )
| ~ ( sdtlseqdt0 @ SV192 @ SV169 )
| ( SV169 = SV192 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2261]) ).
thf(2328,plain,
! [SV204: $i,SV193: $i,SV170: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV170 )
| ~ ( aNaturalNumber0 @ SV193 )
| ~ ( aNaturalNumber0 @ SV204 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV170 @ SV193 )
| ~ ( sdtlseqdt0 @ SV193 @ SV204 )
| ( sdtlseqdt0 @ SV170 @ SV204 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2262]) ).
thf(2329,plain,
! [SV194: $i,SV171: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV171 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV194 ) )
= $true )
| ( ( ( SV171 = sz00 )
| ( sdtlseqdt0 @ SV194 @ ( sdtasdt0 @ SV194 @ SV171 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2263]) ).
thf(2330,plain,
! [SV205: $i] :
( ( ( aNaturalNumber0 @ SV205 )
= $false )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2264]) ).
thf(2331,plain,
! [SV195: $i,SV172: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV172 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV195 ) )
= $true )
| ( ( ( SV172 = SV195 )
| ~ ( sdtlseqdt0 @ SV172 @ SV195 )
| ( iLess0 @ SV172 @ SV195 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2265]) ).
thf(2332,plain,
! [SV206: $i,SV196: $i,SV173: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV173 )
| ~ ( aNaturalNumber0 @ SV196 )
| ~ ( aNaturalNumber0 @ SV206 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV173 @ SV196 )
| ~ ( doDivides0 @ SV196 @ SV206 )
| ( doDivides0 @ SV173 @ SV206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2266]) ).
thf(2333,plain,
! [SV207: $i,SV197: $i,SV174: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV174 )
| ~ ( aNaturalNumber0 @ SV197 )
| ~ ( aNaturalNumber0 @ SV207 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV174 @ SV197 )
| ~ ( doDivides0 @ SV174 @ SV207 )
| ( doDivides0 @ SV174 @ ( sdtpldt0 @ SV197 @ SV207 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2267]) ).
thf(2334,plain,
! [SV208: $i,SV198: $i,SV175: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV175 )
| ~ ( aNaturalNumber0 @ SV198 )
| ~ ( aNaturalNumber0 @ SV208 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV175 @ SV198 )
| ~ ( doDivides0 @ SV175 @ ( sdtpldt0 @ SV198 @ SV208 ) )
| ( doDivides0 @ SV175 @ SV208 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2268]) ).
thf(2335,plain,
! [SV199: $i,SV176: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV176 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV199 ) )
= $true )
| ( ( ( SV199 = sz00 )
| ~ ( doDivides0 @ SV176 @ SV199 )
| ( sdtlseqdt0 @ SV176 @ SV199 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2269]) ).
thf(2336,plain,
! [SV200: $i,SV177: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV177 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV200 ) )
= $true )
| ( ( ( SV177 = sz00 )
| ~ ( doDivides0 @ SV177 @ SV200 )
| ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtasdt0 @ SY340 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY340 @ SV200 ) @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2270]) ).
thf(2337,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2271]) ).
thf(2338,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2273]) ).
thf(2339,plain,
! [SV209: $i] :
( ( ~ ( aNaturalNumber0 @ SV209 )
| ( ( sdtpldt0 @ SV209 @ sz00 )
= SV209 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2275]) ).
thf(2340,plain,
! [SV210: $i] :
( ( ~ ( aNaturalNumber0 @ SV210 )
| ( SV210
= ( sdtpldt0 @ sz00 @ SV210 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2276]) ).
thf(2341,plain,
! [SV178: $i] :
( ( ~ ( ~ ! [SY269: $i,SY270: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY269 )
| ~ ( aNaturalNumber0 @ SY270 )
| ( SV178 = sz00 )
| ( SY269 = SY270 )
| ~ ( sdtlseqdt0 @ SY269 @ SY270 )
| ( ( sdtasdt0 @ SY269 @ SV178 )
!= ( sdtasdt0 @ SY270 @ SV178 ) ) )
| ~ ~ ( ~ ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV178 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SV178 @ SY271 )
!= ( sdtasdt0 @ SV178 @ SY272 ) ) )
| ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV178 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SY273 ) @ ( sdtasdt0 @ SV178 @ SY274 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2277]) ).
thf(2342,plain,
! [SV178: $i] :
( ( ! [SY275: $i,SY276: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY275 )
| ~ ( aNaturalNumber0 @ SY276 )
| ( SV178 = sz00 )
| ( SY275 = SY276 )
| ~ ( sdtlseqdt0 @ SY275 @ SY276 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY275 @ SV178 ) @ ( sdtasdt0 @ SY276 @ SV178 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2278]) ).
thf(2343,plain,
! [SV211: $i] :
( ( ( ( sdtpldt0 @ xp @ SV211 )
!= xm )
| ~ ( aNaturalNumber0 @ SV211 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2279]) ).
thf(2344,plain,
( ( sdtlseqdt0 @ xp @ xm )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2280]) ).
thf(2345,plain,
! [SV212: $i] :
( ( ~ ( aNaturalNumber0 @ SV212 )
| ( ( sdtasdt0 @ SV212 @ sz00 )
= sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2281]) ).
thf(2346,plain,
! [SV213: $i] :
( ( ~ ( aNaturalNumber0 @ SV213 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SV213 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2282]) ).
thf(2347,plain,
! [SV179: $i] :
( ( ! [SY277: $i,SY278: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY277 )
| ~ ( aNaturalNumber0 @ SY278 )
| ( ( sdtpldt0 @ SV179 @ SY277 )
!= ( sdtpldt0 @ SV179 @ SY278 ) )
| ( SY277 = SY278 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2283]) ).
thf(2348,plain,
! [SV179: $i] :
( ( ! [SY279: $i,SY280: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY279 )
| ~ ( aNaturalNumber0 @ SY280 )
| ( ( sdtpldt0 @ SY279 @ SV179 )
!= ( sdtpldt0 @ SY280 @ SV179 ) )
| ( SY279 = SY280 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2284]) ).
thf(2349,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV180 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV201 ) )
= $true )
| ( ( ( SV180 = SV201 )
| ~ ( sdtlseqdt0 @ SV180 @ SV201 )
| ~ ( ~ ~ ( ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( ( sdtpldt0 @ SV180 @ SY341 )
!= ( sdtpldt0 @ SV201 @ SY341 ) ) )
| ~ ~ ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) )
| ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) ) )
| ~ ! [SY344: $i] :
( ~ ( aNaturalNumber0 @ SY344 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY344 ) @ ( sdtpldt0 @ SV201 @ SY344 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2285]) ).
thf(2350,plain,
( ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2286]) ).
thf(2351,plain,
( ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2288]) ).
thf(2352,plain,
! [SV214: $i] :
( ( ~ ( aNaturalNumber0 @ SV214 )
| ( sz10 != SV214 )
| ( SV214 = sz00 )
| ( SV214 = sz10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2290]) ).
thf(2353,plain,
! [SV215: $i] :
( ( ~ ( aNaturalNumber0 @ SV215 )
| ( sdtlseqdt0 @ sz10 @ SV215 )
| ( SV215 = sz00 )
| ( SV215 = sz10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2291]) ).
thf(2354,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2292]) ).
thf(2355,plain,
! [SV216: $i] :
( ( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ SV216 )
!= ( sdtasdt0 @ xp @ xm ) )
| ~ ( aNaturalNumber0 @ SV216 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2294]) ).
thf(2356,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xn @ xm ) @ ( sdtasdt0 @ xp @ xm ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2295]) ).
thf(2357,plain,
! [SV181: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY286: $i,SY287: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY286 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY287
!= ( sdtasdt0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ SY287 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= SY287 ) ) ) )
| ( SY287 = sz00 )
| ( SY287 = sz10 )
| ! [SY288: $i] :
( ( ( sdtasdt0 @ SV181 @ SY286 )
!= ( sdtasdt0 @ SY287 @ SY288 ) )
| ~ ( aNaturalNumber0 @ SY288 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY286 ) @ SY287 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY287 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( ( SY286
!= ( sdtasdt0 @ SY287 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) ) )
| ~ ! [SY289: $i,SY290: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY289 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY290
!= ( sdtasdt0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ SY290 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= SY290 ) ) ) )
| ( SY290 = sz00 )
| ( SY290 = sz10 )
| ! [SY291: $i] :
( ( ( sdtasdt0 @ SV181 @ SY289 )
!= ( sdtasdt0 @ SY290 @ SY291 ) )
| ~ ( aNaturalNumber0 @ SY291 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY289 ) @ SY290 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY290 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ( doDivides0 @ SY290 @ SY289 ) ) )
| ~ ~ ( ~ ! [SY292: $i,SY293: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY292 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY293
!= ( sdtasdt0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ SY293 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= SY293 ) ) ) )
| ( SY293 = sz00 )
| ( SY293 = sz10 )
| ! [SY294: $i] :
( ( ( sdtasdt0 @ SV181 @ SY292 )
!= ( sdtasdt0 @ SY293 @ SY294 ) )
| ~ ( aNaturalNumber0 @ SY294 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY292 ) @ SY293 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY293 @ SV181 )
| ~ ( ( SY292
!= ( sdtasdt0 @ SY293 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY295 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY296
!= ( sdtasdt0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ SY296 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= SY296 ) ) ) )
| ( SY296 = sz00 )
| ( SY296 = sz10 )
| ! [SY297: $i] :
( ( ( sdtasdt0 @ SV181 @ SY295 )
!= ( sdtasdt0 @ SY296 @ SY297 ) )
| ~ ( aNaturalNumber0 @ SY297 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY295 ) @ SY296 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY296 @ SV181 )
| ( doDivides0 @ SY296 @ SY295 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= SY299 ) ) ) )
| ( SY299 = sz00 )
| ( SY299 = sz10 )
| ~ ( doDivides0 @ SY299 @ ( sdtasdt0 @ SV181 @ SY298 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY298 ) @ SY299 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY299 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( ( SY298
!= ( sdtasdt0 @ SY299 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) ) )
| ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= SY301 ) ) ) )
| ( SY301 = sz00 )
| ( SY301 = sz10 )
| ~ ( doDivides0 @ SY301 @ ( sdtasdt0 @ SV181 @ SY300 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY300 ) @ SY301 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY301 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ( doDivides0 @ SY301 @ SY300 ) ) )
| ~ ~ ( ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= SY303 ) ) ) )
| ( SY303 = sz00 )
| ( SY303 = sz10 )
| ~ ( doDivides0 @ SY303 @ ( sdtasdt0 @ SV181 @ SY302 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY302 ) @ SY303 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY303 @ SV181 )
| ~ ( ( SY302
!= ( sdtasdt0 @ SY303 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) ) )
| ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY305
!= ( sdtasdt0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ SY305 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= SY305 ) ) ) )
| ( SY305 = sz00 )
| ( SY305 = sz10 )
| ~ ( doDivides0 @ SY305 @ ( sdtasdt0 @ SV181 @ SY304 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY305 @ SV181 )
| ( doDivides0 @ SY305 @ SY304 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2296]) ).
thf(2358,plain,
! [SV181: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY306: $i,SY307: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY306 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( isPrime0 @ SY307 )
| ! [SY308: $i] :
( ( ( sdtasdt0 @ SV181 @ SY306 )
!= ( sdtasdt0 @ SY307 @ SY308 ) )
| ~ ( aNaturalNumber0 @ SY308 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY306 ) @ SY307 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY307 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( ( SY306
!= ( sdtasdt0 @ SY307 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) ) )
| ~ ! [SY309: $i,SY310: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY309 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( isPrime0 @ SY310 )
| ! [SY311: $i] :
( ( ( sdtasdt0 @ SV181 @ SY309 )
!= ( sdtasdt0 @ SY310 @ SY311 ) )
| ~ ( aNaturalNumber0 @ SY311 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY309 ) @ SY310 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY310 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ( doDivides0 @ SY310 @ SY309 ) ) )
| ~ ~ ( ~ ! [SY312: $i,SY313: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY312 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( isPrime0 @ SY313 )
| ! [SY314: $i] :
( ( ( sdtasdt0 @ SV181 @ SY312 )
!= ( sdtasdt0 @ SY313 @ SY314 ) )
| ~ ( aNaturalNumber0 @ SY314 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY312 ) @ SY313 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY313 @ SV181 )
| ~ ( ( SY312
!= ( sdtasdt0 @ SY313 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) ) )
| ~ ! [SY315: $i,SY316: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY315 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( isPrime0 @ SY316 )
| ! [SY317: $i] :
( ( ( sdtasdt0 @ SV181 @ SY315 )
!= ( sdtasdt0 @ SY316 @ SY317 ) )
| ~ ( aNaturalNumber0 @ SY317 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY315 ) @ SY316 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY316 @ SV181 )
| ( doDivides0 @ SY316 @ SY315 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY318: $i,SY319: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY318 )
| ~ ( aNaturalNumber0 @ SY319 )
| ~ ( isPrime0 @ SY319 )
| ~ ( doDivides0 @ SY319 @ ( sdtasdt0 @ SV181 @ SY318 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY318 ) @ SY319 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY319 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( ( SY318
!= ( sdtasdt0 @ SY319 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) ) )
| ~ ! [SY320: $i,SY321: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY320 )
| ~ ( aNaturalNumber0 @ SY321 )
| ~ ( isPrime0 @ SY321 )
| ~ ( doDivides0 @ SY321 @ ( sdtasdt0 @ SV181 @ SY320 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY320 ) @ SY321 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY321 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ( doDivides0 @ SY321 @ SY320 ) ) )
| ~ ~ ( ~ ! [SY322: $i,SY323: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY322 )
| ~ ( aNaturalNumber0 @ SY323 )
| ~ ( isPrime0 @ SY323 )
| ~ ( doDivides0 @ SY323 @ ( sdtasdt0 @ SV181 @ SY322 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY322 ) @ SY323 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY323 @ SV181 )
| ~ ( ( SY322
!= ( sdtasdt0 @ SY323 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ~ ( isPrime0 @ SY325 )
| ~ ( doDivides0 @ SY325 @ ( sdtasdt0 @ SV181 @ SY324 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY324 ) @ SY325 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY325 @ SV181 )
| ( doDivides0 @ SY325 @ SY324 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2297]) ).
thf(2359,plain,
( ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2298]) ).
thf(2360,plain,
! [SV217: $i] :
( ( ( ( sdtpldt0 @ xp @ SV217 )
!= xn )
| ~ ( aNaturalNumber0 @ SV217 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2300]) ).
thf(2361,plain,
( ( sdtlseqdt0 @ xp @ xn )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2301]) ).
thf(2362,plain,
( ( xk = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2302]) ).
thf(2363,plain,
( ( xk = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2303]) ).
thf(2364,plain,
! [SV182: $i] :
( ( ( SV182 = sz00 )
= $true )
| ( ( ~ ( ~ ! [SY326: $i,SY327: $i] :
( ~ ( aNaturalNumber0 @ SY326 )
| ~ ( aNaturalNumber0 @ SY327 )
| ( ( sdtasdt0 @ SV182 @ SY326 )
!= ( sdtasdt0 @ SV182 @ SY327 ) )
| ( SY326 = SY327 ) )
| ~ ! [SY328: $i,SY329: $i] :
( ~ ( aNaturalNumber0 @ SY328 )
| ~ ( aNaturalNumber0 @ SY329 )
| ( ( sdtasdt0 @ SY328 @ SV182 )
!= ( sdtasdt0 @ SY329 @ SV182 ) )
| ( SY328 = SY329 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2304]) ).
thf(2365,plain,
! [SV218: $i] :
( ( ! [SY345: $i] :
( ~ ( aNaturalNumber0 @ SV218 )
| ~ ( aNaturalNumber0 @ SY345 )
| ( SY345 != SV218 )
| ( sdtlseqdt0 @ SV218 @ SY345 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2305]) ).
thf(2366,plain,
! [SV219: $i] :
( ( ! [SY346: $i] :
( ~ ( aNaturalNumber0 @ SV219 )
| ~ ( aNaturalNumber0 @ SY346 )
| ( sdtlseqdt0 @ SY346 @ SV219 )
| ( sdtlseqdt0 @ SV219 @ SY346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2306]) ).
thf(2367,plain,
! [SV220: $i] :
( ( ~ ( aNaturalNumber0 @ SV220 )
| ( ( sdtasdt0 @ SV220 @ sz10 )
= SV220 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2307]) ).
thf(2368,plain,
! [SV221: $i] :
( ( ~ ( aNaturalNumber0 @ SV221 )
| ( SV221
= ( sdtasdt0 @ sz10 @ SV221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2308]) ).
thf(2369,plain,
( ( xk = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2309]) ).
thf(2370,plain,
( ( xk = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2310]) ).
thf(2371,plain,
( ( sz10 = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2311]) ).
thf(2372,plain,
! [SV222: $i] :
( ( ! [SY347: $i] :
( ~ ( aNaturalNumber0 @ SV222 )
| ~ ( aNaturalNumber0 @ SY347 )
| ( ( sdtpldt0 @ SV222 @ SY347 )
!= sz00 )
| ( SV222 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2313]) ).
thf(2373,plain,
! [SV223: $i] :
( ( ! [SY348: $i] :
( ~ ( aNaturalNumber0 @ SV223 )
| ~ ( aNaturalNumber0 @ SY348 )
| ( ( sdtpldt0 @ SV223 @ SY348 )
!= sz00 )
| ( SY348 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2314]) ).
thf(2374,plain,
! [SV183: $i] :
( ( ! [SY330: $i,SY331: $i] :
( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SY330 )
| ~ ( aNaturalNumber0 @ SY331 )
| ( ( sdtasdt0 @ SV183 @ ( sdtpldt0 @ SY330 @ SY331 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV183 @ SY330 ) @ ( sdtasdt0 @ SV183 @ SY331 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2315]) ).
thf(2375,plain,
! [SV183: $i] :
( ( ! [SY332: $i,SY333: $i] :
( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SY332 )
| ~ ( aNaturalNumber0 @ SY333 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY332 @ SY333 ) @ SV183 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY332 @ SV183 ) @ ( sdtasdt0 @ SY333 @ SV183 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2316]) ).
thf(2376,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2317]) ).
thf(2377,plain,
! [SV184: $i] :
( ( ( SV184 = sz00 )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV184 ) )
= $true )
| ( ( SV184 = sz10 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV184 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV184 ) @ SV184 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV184 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2319]) ).
thf(2378,plain,
! [SV185: $i,SV161: $i] :
( ( ( aNaturalNumber0 @ SV161 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV185 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV161 @ SV185 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2320]) ).
thf(2379,plain,
! [SV186: $i,SV162: $i] :
( ( ( aNaturalNumber0 @ SV162 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV186 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV162 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2321]) ).
thf(2380,plain,
! [SV187: $i,SV163: $i] :
( ( ( aNaturalNumber0 @ SV163 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV187 ) )
= $true )
| ( ( ( sdtpldt0 @ SV163 @ SV187 )
= ( sdtpldt0 @ SV187 @ SV163 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2322]) ).
thf(2381,plain,
! [SV202: $i,SV188: $i,SV164: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV164 )
| ~ ( aNaturalNumber0 @ SV188 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV202 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV164 @ SV188 ) @ SV202 )
= ( sdtpldt0 @ SV164 @ ( sdtpldt0 @ SV188 @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2323]) ).
thf(2382,plain,
! [SV189: $i,SV165: $i] :
( ( ( aNaturalNumber0 @ SV165 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV189 ) )
= $true )
| ( ( ( sdtasdt0 @ SV165 @ SV189 )
= ( sdtasdt0 @ SV189 @ SV165 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2324]) ).
thf(2383,plain,
! [SV203: $i,SV190: $i,SV166: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV166 )
| ~ ( aNaturalNumber0 @ SV190 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV203 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV166 @ SV190 ) @ SV203 )
= ( sdtasdt0 @ SV166 @ ( sdtasdt0 @ SV190 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2325]) ).
thf(2384,plain,
! [SV191: $i,SV167: $i] :
( ( ( aNaturalNumber0 @ SV167 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV191 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV167 @ SV191 )
!= sz00 )
| ( SV167 = sz00 )
| ( SV191 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2326]) ).
thf(2385,plain,
! [SV192: $i,SV169: $i] :
( ( ( aNaturalNumber0 @ SV169 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV192 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV169 @ SV192 )
| ~ ( sdtlseqdt0 @ SV192 @ SV169 )
| ( SV169 = SV192 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2327]) ).
thf(2386,plain,
! [SV204: $i,SV193: $i,SV170: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV170 )
| ~ ( aNaturalNumber0 @ SV193 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV204 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV170 @ SV193 )
| ~ ( sdtlseqdt0 @ SV193 @ SV204 )
| ( sdtlseqdt0 @ SV170 @ SV204 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2328]) ).
thf(2387,plain,
! [SV194: $i,SV171: $i] :
( ( ( aNaturalNumber0 @ SV171 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV194 ) )
= $true )
| ( ( ( SV171 = sz00 )
| ( sdtlseqdt0 @ SV194 @ ( sdtasdt0 @ SV194 @ SV171 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2329]) ).
thf(2388,plain,
! [SV205: $i,SV224: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV224 ) )
= $true )
| ( ( aNaturalNumber0 @ SV205 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2330]) ).
thf(2389,plain,
! [SV195: $i,SV172: $i] :
( ( ( aNaturalNumber0 @ SV172 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV195 ) )
= $true )
| ( ( ( SV172 = SV195 )
| ~ ( sdtlseqdt0 @ SV172 @ SV195 )
| ( iLess0 @ SV172 @ SV195 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2331]) ).
thf(2390,plain,
! [SV206: $i,SV196: $i,SV173: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV173 )
| ~ ( aNaturalNumber0 @ SV196 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV206 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV173 @ SV196 )
| ~ ( doDivides0 @ SV196 @ SV206 )
| ( doDivides0 @ SV173 @ SV206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2332]) ).
thf(2391,plain,
! [SV207: $i,SV197: $i,SV174: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV174 )
| ~ ( aNaturalNumber0 @ SV197 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV207 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV174 @ SV197 )
| ~ ( doDivides0 @ SV174 @ SV207 )
| ( doDivides0 @ SV174 @ ( sdtpldt0 @ SV197 @ SV207 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2333]) ).
thf(2392,plain,
! [SV208: $i,SV198: $i,SV175: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV175 )
| ~ ( aNaturalNumber0 @ SV198 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV208 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV175 @ SV198 )
| ~ ( doDivides0 @ SV175 @ ( sdtpldt0 @ SV198 @ SV208 ) )
| ( doDivides0 @ SV175 @ SV208 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2334]) ).
thf(2393,plain,
! [SV199: $i,SV176: $i] :
( ( ( aNaturalNumber0 @ SV176 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV199 ) )
= $true )
| ( ( ( SV199 = sz00 )
| ~ ( doDivides0 @ SV176 @ SV199 )
| ( sdtlseqdt0 @ SV176 @ SV199 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2335]) ).
thf(2394,plain,
! [SV200: $i,SV177: $i] :
( ( ( aNaturalNumber0 @ SV177 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV200 ) )
= $true )
| ( ( ( SV177 = sz00 )
| ~ ( doDivides0 @ SV177 @ SV200 )
| ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtasdt0 @ SY340 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY340 @ SV200 ) @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2336]) ).
thf(2395,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2337]) ).
thf(2396,plain,
( ( ~ ( aNaturalNumber0 @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2337]) ).
thf(2397,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2338]) ).
thf(2398,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2338]) ).
thf(2399,plain,
! [SV209: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV209 ) )
= $true )
| ( ( ( sdtpldt0 @ SV209 @ sz00 )
= SV209 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2339]) ).
thf(2400,plain,
! [SV210: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV210 ) )
= $true )
| ( ( SV210
= ( sdtpldt0 @ sz00 @ SV210 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2340]) ).
thf(2401,plain,
! [SV178: $i] :
( ( ~ ! [SY269: $i,SY270: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY269 )
| ~ ( aNaturalNumber0 @ SY270 )
| ( SV178 = sz00 )
| ( SY269 = SY270 )
| ~ ( sdtlseqdt0 @ SY269 @ SY270 )
| ( ( sdtasdt0 @ SY269 @ SV178 )
!= ( sdtasdt0 @ SY270 @ SV178 ) ) )
| ~ ~ ( ~ ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV178 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SV178 @ SY271 )
!= ( sdtasdt0 @ SV178 @ SY272 ) ) )
| ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV178 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SY273 ) @ ( sdtasdt0 @ SV178 @ SY274 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2341]) ).
thf(2402,plain,
! [SV225: $i,SV178: $i] :
( ( ! [SY349: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV225 )
| ~ ( aNaturalNumber0 @ SY349 )
| ( SV178 = sz00 )
| ( SV225 = SY349 )
| ~ ( sdtlseqdt0 @ SV225 @ SY349 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV225 @ SV178 ) @ ( sdtasdt0 @ SY349 @ SV178 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2342]) ).
thf(2403,plain,
! [SV211: $i] :
( ( ( ( ( sdtpldt0 @ xp @ SV211 )
!= xm ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV211 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2343]) ).
thf(2404,plain,
! [SV212: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV212 ) )
= $true )
| ( ( ( sdtasdt0 @ SV212 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2345]) ).
thf(2405,plain,
! [SV213: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV213 ) )
= $true )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV213 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2346]) ).
thf(2406,plain,
! [SV226: $i,SV179: $i] :
( ( ! [SY350: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV226 )
| ~ ( aNaturalNumber0 @ SY350 )
| ( ( sdtpldt0 @ SV179 @ SV226 )
!= ( sdtpldt0 @ SV179 @ SY350 ) )
| ( SV226 = SY350 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2347]) ).
thf(2407,plain,
! [SV227: $i,SV179: $i] :
( ( ! [SY351: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV227 )
| ~ ( aNaturalNumber0 @ SY351 )
| ( ( sdtpldt0 @ SV227 @ SV179 )
!= ( sdtpldt0 @ SY351 @ SV179 ) )
| ( SV227 = SY351 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2348]) ).
thf(2408,plain,
! [SV201: $i,SV180: $i] :
( ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV201 ) )
= $true )
| ( ( ( SV180 = SV201 )
| ~ ( sdtlseqdt0 @ SV180 @ SV201 )
| ~ ( ~ ~ ( ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( ( sdtpldt0 @ SV180 @ SY341 )
!= ( sdtpldt0 @ SV201 @ SY341 ) ) )
| ~ ~ ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) )
| ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) ) )
| ~ ! [SY344: $i] :
( ~ ( aNaturalNumber0 @ SY344 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY344 ) @ ( sdtpldt0 @ SV201 @ SY344 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2349]) ).
thf(2409,plain,
( ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2350]) ).
thf(2410,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2350]) ).
thf(2411,plain,
( ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2351]) ).
thf(2412,plain,
( ( ~ ( aNaturalNumber0 @ sK2_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2351]) ).
thf(2413,plain,
! [SV214: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV214 ) )
= $true )
| ( ( ( sz10 != SV214 )
| ( SV214 = sz00 )
| ( SV214 = sz10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2352]) ).
thf(2414,plain,
! [SV215: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV215 ) )
= $true )
| ( ( ( sdtlseqdt0 @ sz10 @ SV215 )
| ( SV215 = sz00 )
| ( SV215 = sz10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2353]) ).
thf(2415,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2354]) ).
thf(2416,plain,
( ( ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2354]) ).
thf(2417,plain,
! [SV216: $i] :
( ( ( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ SV216 )
!= ( sdtasdt0 @ xp @ xm ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV216 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2355]) ).
thf(2418,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY286: $i,SY287: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY286 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY287
!= ( sdtasdt0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ SY287 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= SY287 ) ) ) )
| ( SY287 = sz00 )
| ( SY287 = sz10 )
| ! [SY288: $i] :
( ( ( sdtasdt0 @ SV181 @ SY286 )
!= ( sdtasdt0 @ SY287 @ SY288 ) )
| ~ ( aNaturalNumber0 @ SY288 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY286 ) @ SY287 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY287 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( ( SY286
!= ( sdtasdt0 @ SY287 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) ) )
| ~ ! [SY289: $i,SY290: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY289 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY290
!= ( sdtasdt0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ SY290 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= SY290 ) ) ) )
| ( SY290 = sz00 )
| ( SY290 = sz10 )
| ! [SY291: $i] :
( ( ( sdtasdt0 @ SV181 @ SY289 )
!= ( sdtasdt0 @ SY290 @ SY291 ) )
| ~ ( aNaturalNumber0 @ SY291 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY289 ) @ SY290 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY290 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ( doDivides0 @ SY290 @ SY289 ) ) )
| ~ ~ ( ~ ! [SY292: $i,SY293: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY292 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY293
!= ( sdtasdt0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ SY293 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= SY293 ) ) ) )
| ( SY293 = sz00 )
| ( SY293 = sz10 )
| ! [SY294: $i] :
( ( ( sdtasdt0 @ SV181 @ SY292 )
!= ( sdtasdt0 @ SY293 @ SY294 ) )
| ~ ( aNaturalNumber0 @ SY294 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY292 ) @ SY293 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY293 @ SV181 )
| ~ ( ( SY292
!= ( sdtasdt0 @ SY293 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY295 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY296
!= ( sdtasdt0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ SY296 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= SY296 ) ) ) )
| ( SY296 = sz00 )
| ( SY296 = sz10 )
| ! [SY297: $i] :
( ( ( sdtasdt0 @ SV181 @ SY295 )
!= ( sdtasdt0 @ SY296 @ SY297 ) )
| ~ ( aNaturalNumber0 @ SY297 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY295 ) @ SY296 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY296 @ SV181 )
| ( doDivides0 @ SY296 @ SY295 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= SY299 ) ) ) )
| ( SY299 = sz00 )
| ( SY299 = sz10 )
| ~ ( doDivides0 @ SY299 @ ( sdtasdt0 @ SV181 @ SY298 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY298 ) @ SY299 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY299 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( ( SY298
!= ( sdtasdt0 @ SY299 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) ) )
| ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= SY301 ) ) ) )
| ( SY301 = sz00 )
| ( SY301 = sz10 )
| ~ ( doDivides0 @ SY301 @ ( sdtasdt0 @ SV181 @ SY300 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY300 ) @ SY301 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY301 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ( doDivides0 @ SY301 @ SY300 ) ) )
| ~ ~ ( ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= SY303 ) ) ) )
| ( SY303 = sz00 )
| ( SY303 = sz10 )
| ~ ( doDivides0 @ SY303 @ ( sdtasdt0 @ SV181 @ SY302 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY302 ) @ SY303 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY303 @ SV181 )
| ~ ( ( SY302
!= ( sdtasdt0 @ SY303 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) ) )
| ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY305
!= ( sdtasdt0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ SY305 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= SY305 ) ) ) )
| ( SY305 = sz00 )
| ( SY305 = sz10 )
| ~ ( doDivides0 @ SY305 @ ( sdtasdt0 @ SV181 @ SY304 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY305 @ SV181 )
| ( doDivides0 @ SY305 @ SY304 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2357]) ).
thf(2419,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY306: $i,SY307: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY306 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( isPrime0 @ SY307 )
| ! [SY308: $i] :
( ( ( sdtasdt0 @ SV181 @ SY306 )
!= ( sdtasdt0 @ SY307 @ SY308 ) )
| ~ ( aNaturalNumber0 @ SY308 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY306 ) @ SY307 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY307 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( ( SY306
!= ( sdtasdt0 @ SY307 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) ) )
| ~ ! [SY309: $i,SY310: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY309 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( isPrime0 @ SY310 )
| ! [SY311: $i] :
( ( ( sdtasdt0 @ SV181 @ SY309 )
!= ( sdtasdt0 @ SY310 @ SY311 ) )
| ~ ( aNaturalNumber0 @ SY311 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY309 ) @ SY310 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY310 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ( doDivides0 @ SY310 @ SY309 ) ) )
| ~ ~ ( ~ ! [SY312: $i,SY313: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY312 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( isPrime0 @ SY313 )
| ! [SY314: $i] :
( ( ( sdtasdt0 @ SV181 @ SY312 )
!= ( sdtasdt0 @ SY313 @ SY314 ) )
| ~ ( aNaturalNumber0 @ SY314 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY312 ) @ SY313 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY313 @ SV181 )
| ~ ( ( SY312
!= ( sdtasdt0 @ SY313 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) ) )
| ~ ! [SY315: $i,SY316: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY315 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( isPrime0 @ SY316 )
| ! [SY317: $i] :
( ( ( sdtasdt0 @ SV181 @ SY315 )
!= ( sdtasdt0 @ SY316 @ SY317 ) )
| ~ ( aNaturalNumber0 @ SY317 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY315 ) @ SY316 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY316 @ SV181 )
| ( doDivides0 @ SY316 @ SY315 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY318: $i,SY319: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY318 )
| ~ ( aNaturalNumber0 @ SY319 )
| ~ ( isPrime0 @ SY319 )
| ~ ( doDivides0 @ SY319 @ ( sdtasdt0 @ SV181 @ SY318 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY318 ) @ SY319 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY319 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( ( SY318
!= ( sdtasdt0 @ SY319 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) ) )
| ~ ! [SY320: $i,SY321: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY320 )
| ~ ( aNaturalNumber0 @ SY321 )
| ~ ( isPrime0 @ SY321 )
| ~ ( doDivides0 @ SY321 @ ( sdtasdt0 @ SV181 @ SY320 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY320 ) @ SY321 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY321 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ( doDivides0 @ SY321 @ SY320 ) ) )
| ~ ~ ( ~ ! [SY322: $i,SY323: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY322 )
| ~ ( aNaturalNumber0 @ SY323 )
| ~ ( isPrime0 @ SY323 )
| ~ ( doDivides0 @ SY323 @ ( sdtasdt0 @ SV181 @ SY322 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY322 ) @ SY323 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY323 @ SV181 )
| ~ ( ( SY322
!= ( sdtasdt0 @ SY323 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ~ ( isPrime0 @ SY325 )
| ~ ( doDivides0 @ SY325 @ ( sdtasdt0 @ SV181 @ SY324 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY324 ) @ SY325 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY325 @ SV181 )
| ( doDivides0 @ SY325 @ SY324 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2358]) ).
thf(2420,plain,
( ( ~ ( aNaturalNumber0 @ xn ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2359]) ).
thf(2421,plain,
( ( ~ ( aNaturalNumber0 @ xm ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2359]) ).
thf(2422,plain,
! [SV217: $i] :
( ( ( ( ( sdtpldt0 @ xp @ SV217 )
!= xn ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2360]) ).
thf(2423,plain,
! [SV182: $i] :
( ( ( ~ ! [SY326: $i,SY327: $i] :
( ~ ( aNaturalNumber0 @ SY326 )
| ~ ( aNaturalNumber0 @ SY327 )
| ( ( sdtasdt0 @ SV182 @ SY326 )
!= ( sdtasdt0 @ SV182 @ SY327 ) )
| ( SY326 = SY327 ) )
| ~ ! [SY328: $i,SY329: $i] :
( ~ ( aNaturalNumber0 @ SY328 )
| ~ ( aNaturalNumber0 @ SY329 )
| ( ( sdtasdt0 @ SY328 @ SV182 )
!= ( sdtasdt0 @ SY329 @ SV182 ) )
| ( SY328 = SY329 ) ) )
= $false )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2364]) ).
thf(2424,plain,
! [SV228: $i,SV218: $i] :
( ( ~ ( aNaturalNumber0 @ SV218 )
| ~ ( aNaturalNumber0 @ SV228 )
| ( SV228 != SV218 )
| ( sdtlseqdt0 @ SV218 @ SV228 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2365]) ).
thf(2425,plain,
! [SV229: $i,SV219: $i] :
( ( ~ ( aNaturalNumber0 @ SV219 )
| ~ ( aNaturalNumber0 @ SV229 )
| ( sdtlseqdt0 @ SV229 @ SV219 )
| ( sdtlseqdt0 @ SV219 @ SV229 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2366]) ).
thf(2426,plain,
! [SV220: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV220 ) )
= $true )
| ( ( ( sdtasdt0 @ SV220 @ sz10 )
= SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2367]) ).
thf(2427,plain,
! [SV221: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV221 ) )
= $true )
| ( ( SV221
= ( sdtasdt0 @ sz10 @ SV221 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2368]) ).
thf(2428,plain,
! [SV230: $i,SV222: $i] :
( ( ~ ( aNaturalNumber0 @ SV222 )
| ~ ( aNaturalNumber0 @ SV230 )
| ( ( sdtpldt0 @ SV222 @ SV230 )
!= sz00 )
| ( SV222 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2372]) ).
thf(2429,plain,
! [SV231: $i,SV223: $i] :
( ( ~ ( aNaturalNumber0 @ SV223 )
| ~ ( aNaturalNumber0 @ SV231 )
| ( ( sdtpldt0 @ SV223 @ SV231 )
!= sz00 )
| ( SV231 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2373]) ).
thf(2430,plain,
! [SV232: $i,SV183: $i] :
( ( ! [SY352: $i] :
( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SV232 )
| ~ ( aNaturalNumber0 @ SY352 )
| ( ( sdtasdt0 @ SV183 @ ( sdtpldt0 @ SV232 @ SY352 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV183 @ SV232 ) @ ( sdtasdt0 @ SV183 @ SY352 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2374]) ).
thf(2431,plain,
! [SV233: $i,SV183: $i] :
( ( ! [SY353: $i] :
( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SV233 )
| ~ ( aNaturalNumber0 @ SY353 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SY353 ) @ SV183 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV183 ) @ ( sdtasdt0 @ SY353 @ SV183 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2375]) ).
thf(2432,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2376]) ).
thf(2433,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2376]) ).
thf(2434,plain,
! [SV184: $i] :
( ( ( aNaturalNumber0 @ SV184 )
= $false )
| ( ( SV184 = sz00 )
= $true )
| ( ( SV184 = sz10 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV184 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV184 ) @ SV184 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV184 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2377]) ).
thf(2435,plain,
! [SV161: $i,SV185: $i] :
( ( ( aNaturalNumber0 @ SV185 )
= $false )
| ( ( aNaturalNumber0 @ SV161 )
= $false )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV161 @ SV185 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2378]) ).
thf(2436,plain,
! [SV162: $i,SV186: $i] :
( ( ( aNaturalNumber0 @ SV186 )
= $false )
| ( ( aNaturalNumber0 @ SV162 )
= $false )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV162 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2379]) ).
thf(2437,plain,
! [SV163: $i,SV187: $i] :
( ( ( aNaturalNumber0 @ SV187 )
= $false )
| ( ( aNaturalNumber0 @ SV163 )
= $false )
| ( ( ( sdtpldt0 @ SV163 @ SV187 )
= ( sdtpldt0 @ SV187 @ SV163 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2380]) ).
thf(2438,plain,
! [SV202: $i,SV188: $i,SV164: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV164 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV188 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV202 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV164 @ SV188 ) @ SV202 )
= ( sdtpldt0 @ SV164 @ ( sdtpldt0 @ SV188 @ SV202 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2381]) ).
thf(2439,plain,
! [SV165: $i,SV189: $i] :
( ( ( aNaturalNumber0 @ SV189 )
= $false )
| ( ( aNaturalNumber0 @ SV165 )
= $false )
| ( ( ( sdtasdt0 @ SV165 @ SV189 )
= ( sdtasdt0 @ SV189 @ SV165 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2382]) ).
thf(2440,plain,
! [SV203: $i,SV190: $i,SV166: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV166 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV190 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV203 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV166 @ SV190 ) @ SV203 )
= ( sdtasdt0 @ SV166 @ ( sdtasdt0 @ SV190 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2383]) ).
thf(2441,plain,
! [SV167: $i,SV191: $i] :
( ( ( aNaturalNumber0 @ SV191 )
= $false )
| ( ( aNaturalNumber0 @ SV167 )
= $false )
| ( ( ( ( sdtasdt0 @ SV167 @ SV191 )
!= sz00 )
| ( SV167 = sz00 )
| ( SV191 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2384]) ).
thf(2442,plain,
! [SV169: $i,SV192: $i] :
( ( ( aNaturalNumber0 @ SV192 )
= $false )
| ( ( aNaturalNumber0 @ SV169 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV169 @ SV192 )
| ~ ( sdtlseqdt0 @ SV192 @ SV169 )
| ( SV169 = SV192 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2385]) ).
thf(2443,plain,
! [SV204: $i,SV193: $i,SV170: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV170 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV193 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV204 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV170 @ SV193 )
| ~ ( sdtlseqdt0 @ SV193 @ SV204 )
| ( sdtlseqdt0 @ SV170 @ SV204 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2386]) ).
thf(2444,plain,
! [SV171: $i,SV194: $i] :
( ( ( aNaturalNumber0 @ SV194 )
= $false )
| ( ( aNaturalNumber0 @ SV171 )
= $false )
| ( ( ( SV171 = sz00 )
| ( sdtlseqdt0 @ SV194 @ ( sdtasdt0 @ SV194 @ SV171 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2387]) ).
thf(2445,plain,
! [SV205: $i,SV224: $i] :
( ( ( aNaturalNumber0 @ SV224 )
= $false )
| ( ( aNaturalNumber0 @ SV205 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2388]) ).
thf(2446,plain,
! [SV172: $i,SV195: $i] :
( ( ( aNaturalNumber0 @ SV195 )
= $false )
| ( ( aNaturalNumber0 @ SV172 )
= $false )
| ( ( ( SV172 = SV195 )
| ~ ( sdtlseqdt0 @ SV172 @ SV195 )
| ( iLess0 @ SV172 @ SV195 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2389]) ).
thf(2447,plain,
! [SV206: $i,SV196: $i,SV173: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV173 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV196 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV206 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV173 @ SV196 )
| ~ ( doDivides0 @ SV196 @ SV206 )
| ( doDivides0 @ SV173 @ SV206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2390]) ).
thf(2448,plain,
! [SV207: $i,SV197: $i,SV174: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV174 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV197 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV207 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV174 @ SV197 )
| ~ ( doDivides0 @ SV174 @ SV207 )
| ( doDivides0 @ SV174 @ ( sdtpldt0 @ SV197 @ SV207 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2391]) ).
thf(2449,plain,
! [SV208: $i,SV198: $i,SV175: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV175 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV198 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV208 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV175 @ SV198 )
| ~ ( doDivides0 @ SV175 @ ( sdtpldt0 @ SV198 @ SV208 ) )
| ( doDivides0 @ SV175 @ SV208 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2392]) ).
thf(2450,plain,
! [SV176: $i,SV199: $i] :
( ( ( aNaturalNumber0 @ SV199 )
= $false )
| ( ( aNaturalNumber0 @ SV176 )
= $false )
| ( ( ( SV199 = sz00 )
| ~ ( doDivides0 @ SV176 @ SV199 )
| ( sdtlseqdt0 @ SV176 @ SV199 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2393]) ).
thf(2451,plain,
! [SV177: $i,SV200: $i] :
( ( ( aNaturalNumber0 @ SV200 )
= $false )
| ( ( aNaturalNumber0 @ SV177 )
= $false )
| ( ( ( SV177 = sz00 )
| ~ ( doDivides0 @ SV177 @ SV200 )
| ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtasdt0 @ SY340 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY340 @ SV200 ) @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2394]) ).
thf(2452,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2395]) ).
thf(2453,plain,
( ( aNaturalNumber0 @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2396]) ).
thf(2454,plain,
( ( ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2397]) ).
thf(2455,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2398]) ).
thf(2456,plain,
! [SV209: $i] :
( ( ( aNaturalNumber0 @ SV209 )
= $false )
| ( ( ( sdtpldt0 @ SV209 @ sz00 )
= SV209 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2399]) ).
thf(2457,plain,
! [SV210: $i] :
( ( ( aNaturalNumber0 @ SV210 )
= $false )
| ( ( SV210
= ( sdtpldt0 @ sz00 @ SV210 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2400]) ).
thf(2458,plain,
! [SV178: $i] :
( ( ~ ! [SY269: $i,SY270: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY269 )
| ~ ( aNaturalNumber0 @ SY270 )
| ( SV178 = sz00 )
| ( SY269 = SY270 )
| ~ ( sdtlseqdt0 @ SY269 @ SY270 )
| ( ( sdtasdt0 @ SY269 @ SV178 )
!= ( sdtasdt0 @ SY270 @ SV178 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2401]) ).
thf(2459,plain,
! [SV178: $i] :
( ( ~ ~ ( ~ ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV178 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SV178 @ SY271 )
!= ( sdtasdt0 @ SV178 @ SY272 ) ) )
| ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV178 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SY273 ) @ ( sdtasdt0 @ SV178 @ SY274 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2401]) ).
thf(2460,plain,
! [SV234: $i,SV225: $i,SV178: $i] :
( ( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV225 )
| ~ ( aNaturalNumber0 @ SV234 )
| ( SV178 = sz00 )
| ( SV225 = SV234 )
| ~ ( sdtlseqdt0 @ SV225 @ SV234 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV225 @ SV178 ) @ ( sdtasdt0 @ SV234 @ SV178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2402]) ).
thf(2461,plain,
! [SV211: $i] :
( ( ( ( sdtpldt0 @ xp @ SV211 )
= xm )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV211 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2403]) ).
thf(2462,plain,
! [SV212: $i] :
( ( ( aNaturalNumber0 @ SV212 )
= $false )
| ( ( ( sdtasdt0 @ SV212 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2404]) ).
thf(2463,plain,
! [SV213: $i] :
( ( ( aNaturalNumber0 @ SV213 )
= $false )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV213 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2405]) ).
thf(2464,plain,
! [SV235: $i,SV226: $i,SV179: $i] :
( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV226 )
| ~ ( aNaturalNumber0 @ SV235 )
| ( ( sdtpldt0 @ SV179 @ SV226 )
!= ( sdtpldt0 @ SV179 @ SV235 ) )
| ( SV226 = SV235 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2406]) ).
thf(2465,plain,
! [SV236: $i,SV227: $i,SV179: $i] :
( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV227 )
| ~ ( aNaturalNumber0 @ SV236 )
| ( ( sdtpldt0 @ SV227 @ SV179 )
!= ( sdtpldt0 @ SV236 @ SV179 ) )
| ( SV227 = SV236 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2407]) ).
thf(2466,plain,
! [SV180: $i,SV201: $i] :
( ( ( aNaturalNumber0 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( ( SV180 = SV201 )
| ~ ( sdtlseqdt0 @ SV180 @ SV201 )
| ~ ( ~ ~ ( ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( ( sdtpldt0 @ SV180 @ SY341 )
!= ( sdtpldt0 @ SV201 @ SY341 ) ) )
| ~ ~ ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) )
| ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) ) )
| ~ ! [SY344: $i] :
( ~ ( aNaturalNumber0 @ SY344 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY344 ) @ ( sdtpldt0 @ SV201 @ SY344 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2408]) ).
thf(2467,plain,
( ( ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2409]) ).
thf(2468,plain,
( ( ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2410]) ).
thf(2469,plain,
( ( ( sdtpldt0 @ xp @ sK2_W0 )
= xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2411]) ).
thf(2470,plain,
( ( aNaturalNumber0 @ sK2_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2412]) ).
thf(2471,plain,
! [SV214: $i] :
( ( ( aNaturalNumber0 @ SV214 )
= $false )
| ( ( ( sz10 != SV214 )
| ( SV214 = sz00 )
| ( SV214 = sz10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2413]) ).
thf(2472,plain,
! [SV215: $i] :
( ( ( aNaturalNumber0 @ SV215 )
= $false )
| ( ( ( sdtlseqdt0 @ sz10 @ SV215 )
| ( SV215 = sz00 )
| ( SV215 = sz10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2414]) ).
thf(2473,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2415]) ).
thf(2474,plain,
( ( ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2416]) ).
thf(2475,plain,
! [SV216: $i] :
( ( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ SV216 )
= ( sdtasdt0 @ xp @ xm ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV216 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2417]) ).
thf(2476,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY286: $i,SY287: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY286 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY287
!= ( sdtasdt0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ SY287 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= SY287 ) ) ) )
| ( SY287 = sz00 )
| ( SY287 = sz10 )
| ! [SY288: $i] :
( ( ( sdtasdt0 @ SV181 @ SY286 )
!= ( sdtasdt0 @ SY287 @ SY288 ) )
| ~ ( aNaturalNumber0 @ SY288 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY286 ) @ SY287 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY287 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( ( SY286
!= ( sdtasdt0 @ SY287 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) ) )
| ~ ! [SY289: $i,SY290: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY289 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY290
!= ( sdtasdt0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ SY290 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= SY290 ) ) ) )
| ( SY290 = sz00 )
| ( SY290 = sz10 )
| ! [SY291: $i] :
( ( ( sdtasdt0 @ SV181 @ SY289 )
!= ( sdtasdt0 @ SY290 @ SY291 ) )
| ~ ( aNaturalNumber0 @ SY291 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY289 ) @ SY290 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY290 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ( doDivides0 @ SY290 @ SY289 ) ) )
| ~ ~ ( ~ ! [SY292: $i,SY293: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY292 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY293
!= ( sdtasdt0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ SY293 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= SY293 ) ) ) )
| ( SY293 = sz00 )
| ( SY293 = sz10 )
| ! [SY294: $i] :
( ( ( sdtasdt0 @ SV181 @ SY292 )
!= ( sdtasdt0 @ SY293 @ SY294 ) )
| ~ ( aNaturalNumber0 @ SY294 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY292 ) @ SY293 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY293 @ SV181 )
| ~ ( ( SY292
!= ( sdtasdt0 @ SY293 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY295 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY296
!= ( sdtasdt0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ SY296 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= SY296 ) ) ) )
| ( SY296 = sz00 )
| ( SY296 = sz10 )
| ! [SY297: $i] :
( ( ( sdtasdt0 @ SV181 @ SY295 )
!= ( sdtasdt0 @ SY296 @ SY297 ) )
| ~ ( aNaturalNumber0 @ SY297 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY295 ) @ SY296 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY296 @ SV181 )
| ( doDivides0 @ SY296 @ SY295 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2418]) ).
thf(2477,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= SY299 ) ) ) )
| ( SY299 = sz00 )
| ( SY299 = sz10 )
| ~ ( doDivides0 @ SY299 @ ( sdtasdt0 @ SV181 @ SY298 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY298 ) @ SY299 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY299 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( ( SY298
!= ( sdtasdt0 @ SY299 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) ) )
| ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= SY301 ) ) ) )
| ( SY301 = sz00 )
| ( SY301 = sz10 )
| ~ ( doDivides0 @ SY301 @ ( sdtasdt0 @ SV181 @ SY300 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY300 ) @ SY301 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY301 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ( doDivides0 @ SY301 @ SY300 ) ) )
| ~ ~ ( ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= SY303 ) ) ) )
| ( SY303 = sz00 )
| ( SY303 = sz10 )
| ~ ( doDivides0 @ SY303 @ ( sdtasdt0 @ SV181 @ SY302 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY302 ) @ SY303 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY303 @ SV181 )
| ~ ( ( SY302
!= ( sdtasdt0 @ SY303 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) ) )
| ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY305
!= ( sdtasdt0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ SY305 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= SY305 ) ) ) )
| ( SY305 = sz00 )
| ( SY305 = sz10 )
| ~ ( doDivides0 @ SY305 @ ( sdtasdt0 @ SV181 @ SY304 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY305 @ SV181 )
| ( doDivides0 @ SY305 @ SY304 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2418]) ).
thf(2478,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY306: $i,SY307: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY306 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( isPrime0 @ SY307 )
| ! [SY308: $i] :
( ( ( sdtasdt0 @ SV181 @ SY306 )
!= ( sdtasdt0 @ SY307 @ SY308 ) )
| ~ ( aNaturalNumber0 @ SY308 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY306 ) @ SY307 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY307 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( ( SY306
!= ( sdtasdt0 @ SY307 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) ) )
| ~ ! [SY309: $i,SY310: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY309 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( isPrime0 @ SY310 )
| ! [SY311: $i] :
( ( ( sdtasdt0 @ SV181 @ SY309 )
!= ( sdtasdt0 @ SY310 @ SY311 ) )
| ~ ( aNaturalNumber0 @ SY311 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY309 ) @ SY310 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY310 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ( doDivides0 @ SY310 @ SY309 ) ) )
| ~ ~ ( ~ ! [SY312: $i,SY313: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY312 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( isPrime0 @ SY313 )
| ! [SY314: $i] :
( ( ( sdtasdt0 @ SV181 @ SY312 )
!= ( sdtasdt0 @ SY313 @ SY314 ) )
| ~ ( aNaturalNumber0 @ SY314 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY312 ) @ SY313 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY313 @ SV181 )
| ~ ( ( SY312
!= ( sdtasdt0 @ SY313 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) ) )
| ~ ! [SY315: $i,SY316: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY315 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( isPrime0 @ SY316 )
| ! [SY317: $i] :
( ( ( sdtasdt0 @ SV181 @ SY315 )
!= ( sdtasdt0 @ SY316 @ SY317 ) )
| ~ ( aNaturalNumber0 @ SY317 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY315 ) @ SY316 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY316 @ SV181 )
| ( doDivides0 @ SY316 @ SY315 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2419]) ).
thf(2479,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY318: $i,SY319: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY318 )
| ~ ( aNaturalNumber0 @ SY319 )
| ~ ( isPrime0 @ SY319 )
| ~ ( doDivides0 @ SY319 @ ( sdtasdt0 @ SV181 @ SY318 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY318 ) @ SY319 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY319 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( ( SY318
!= ( sdtasdt0 @ SY319 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) ) )
| ~ ! [SY320: $i,SY321: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY320 )
| ~ ( aNaturalNumber0 @ SY321 )
| ~ ( isPrime0 @ SY321 )
| ~ ( doDivides0 @ SY321 @ ( sdtasdt0 @ SV181 @ SY320 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY320 ) @ SY321 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY321 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ( doDivides0 @ SY321 @ SY320 ) ) )
| ~ ~ ( ~ ! [SY322: $i,SY323: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY322 )
| ~ ( aNaturalNumber0 @ SY323 )
| ~ ( isPrime0 @ SY323 )
| ~ ( doDivides0 @ SY323 @ ( sdtasdt0 @ SV181 @ SY322 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY322 ) @ SY323 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY323 @ SV181 )
| ~ ( ( SY322
!= ( sdtasdt0 @ SY323 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ~ ( isPrime0 @ SY325 )
| ~ ( doDivides0 @ SY325 @ ( sdtasdt0 @ SV181 @ SY324 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY324 ) @ SY325 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY325 @ SV181 )
| ( doDivides0 @ SY325 @ SY324 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2419]) ).
thf(2480,plain,
( ( aNaturalNumber0 @ xn )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2420]) ).
thf(2481,plain,
( ( aNaturalNumber0 @ xm )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2421]) ).
thf(2482,plain,
! [SV217: $i] :
( ( ( ( sdtpldt0 @ xp @ SV217 )
= xn )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2422]) ).
thf(2483,plain,
! [SV182: $i] :
( ( ( ~ ! [SY326: $i,SY327: $i] :
( ~ ( aNaturalNumber0 @ SY326 )
| ~ ( aNaturalNumber0 @ SY327 )
| ( ( sdtasdt0 @ SV182 @ SY326 )
!= ( sdtasdt0 @ SV182 @ SY327 ) )
| ( SY326 = SY327 ) ) )
= $false )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2423]) ).
thf(2484,plain,
! [SV182: $i] :
( ( ( ~ ! [SY328: $i,SY329: $i] :
( ~ ( aNaturalNumber0 @ SY328 )
| ~ ( aNaturalNumber0 @ SY329 )
| ( ( sdtasdt0 @ SY328 @ SV182 )
!= ( sdtasdt0 @ SY329 @ SV182 ) )
| ( SY328 = SY329 ) ) )
= $false )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2423]) ).
thf(2485,plain,
! [SV228: $i,SV218: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV218 )
| ~ ( aNaturalNumber0 @ SV228 ) )
= $true )
| ( ( ( SV228 != SV218 )
| ( sdtlseqdt0 @ SV218 @ SV228 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2424]) ).
thf(2486,plain,
! [SV229: $i,SV219: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV219 )
| ~ ( aNaturalNumber0 @ SV229 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV229 @ SV219 )
| ( sdtlseqdt0 @ SV219 @ SV229 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2425]) ).
thf(2487,plain,
! [SV220: $i] :
( ( ( aNaturalNumber0 @ SV220 )
= $false )
| ( ( ( sdtasdt0 @ SV220 @ sz10 )
= SV220 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2426]) ).
thf(2488,plain,
! [SV221: $i] :
( ( ( aNaturalNumber0 @ SV221 )
= $false )
| ( ( SV221
= ( sdtasdt0 @ sz10 @ SV221 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2427]) ).
thf(2489,plain,
! [SV230: $i,SV222: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV222 )
| ~ ( aNaturalNumber0 @ SV230 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV222 @ SV230 )
!= sz00 )
| ( SV222 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2428]) ).
thf(2490,plain,
! [SV231: $i,SV223: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV223 )
| ~ ( aNaturalNumber0 @ SV231 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV223 @ SV231 )
!= sz00 )
| ( SV231 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2429]) ).
thf(2491,plain,
! [SV237: $i,SV232: $i,SV183: $i] :
( ( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SV232 )
| ~ ( aNaturalNumber0 @ SV237 )
| ( ( sdtasdt0 @ SV183 @ ( sdtpldt0 @ SV232 @ SV237 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV183 @ SV232 ) @ ( sdtasdt0 @ SV183 @ SV237 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2430]) ).
thf(2492,plain,
! [SV238: $i,SV233: $i,SV183: $i] :
( ( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SV233 )
| ~ ( aNaturalNumber0 @ SV238 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SV238 ) @ SV183 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV183 ) @ ( sdtasdt0 @ SV238 @ SV183 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2431]) ).
thf(2493,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2432]) ).
thf(2494,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2433]) ).
thf(2495,plain,
! [SV184: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV184 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV184 ) @ SV184 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV184 ) ) )
= $false )
| ( ( SV184 = sz10 )
= $true )
| ( ( SV184 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2434]) ).
thf(2496,plain,
! [SV202: $i,SV188: $i,SV164: $i] :
( ( ( aNaturalNumber0 @ SV164 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV188 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV202 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV164 @ SV188 ) @ SV202 )
= ( sdtpldt0 @ SV164 @ ( sdtpldt0 @ SV188 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2438]) ).
thf(2497,plain,
! [SV203: $i,SV190: $i,SV166: $i] :
( ( ( aNaturalNumber0 @ SV166 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV190 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV203 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV166 @ SV190 ) @ SV203 )
= ( sdtasdt0 @ SV166 @ ( sdtasdt0 @ SV190 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2440]) ).
thf(2498,plain,
! [SV191: $i,SV167: $i] :
( ( ( ( ( sdtasdt0 @ SV167 @ SV191 )
!= sz00 ) )
= $true )
| ( ( ( SV167 = sz00 )
| ( SV191 = sz00 ) )
= $true )
| ( ( aNaturalNumber0 @ SV167 )
= $false )
| ( ( aNaturalNumber0 @ SV191 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2441]) ).
thf(2499,plain,
! [SV192: $i,SV169: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV169 @ SV192 )
| ~ ( sdtlseqdt0 @ SV192 @ SV169 ) )
= $true )
| ( ( SV169 = SV192 )
= $true )
| ( ( aNaturalNumber0 @ SV169 )
= $false )
| ( ( aNaturalNumber0 @ SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2442]) ).
thf(2500,plain,
! [SV204: $i,SV193: $i,SV170: $i] :
( ( ( aNaturalNumber0 @ SV170 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV193 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV204 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV170 @ SV193 )
| ~ ( sdtlseqdt0 @ SV193 @ SV204 )
| ( sdtlseqdt0 @ SV170 @ SV204 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2443]) ).
thf(2501,plain,
! [SV194: $i,SV171: $i] :
( ( ( SV171 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ SV194 @ ( sdtasdt0 @ SV194 @ SV171 ) )
= $true )
| ( ( aNaturalNumber0 @ SV171 )
= $false )
| ( ( aNaturalNumber0 @ SV194 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2444]) ).
thf(2502,plain,
! [SV195: $i,SV172: $i] :
( ( ( ( SV172 = SV195 )
| ~ ( sdtlseqdt0 @ SV172 @ SV195 ) )
= $true )
| ( ( iLess0 @ SV172 @ SV195 )
= $true )
| ( ( aNaturalNumber0 @ SV172 )
= $false )
| ( ( aNaturalNumber0 @ SV195 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2446]) ).
thf(2503,plain,
! [SV206: $i,SV196: $i,SV173: $i] :
( ( ( aNaturalNumber0 @ SV173 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV196 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV206 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV173 @ SV196 )
| ~ ( doDivides0 @ SV196 @ SV206 )
| ( doDivides0 @ SV173 @ SV206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2447]) ).
thf(2504,plain,
! [SV207: $i,SV197: $i,SV174: $i] :
( ( ( aNaturalNumber0 @ SV174 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV197 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV207 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV174 @ SV197 )
| ~ ( doDivides0 @ SV174 @ SV207 )
| ( doDivides0 @ SV174 @ ( sdtpldt0 @ SV197 @ SV207 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2448]) ).
thf(2505,plain,
! [SV208: $i,SV198: $i,SV175: $i] :
( ( ( aNaturalNumber0 @ SV175 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV198 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV208 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV175 @ SV198 )
| ~ ( doDivides0 @ SV175 @ ( sdtpldt0 @ SV198 @ SV208 ) )
| ( doDivides0 @ SV175 @ SV208 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2449]) ).
thf(2506,plain,
! [SV176: $i,SV199: $i] :
( ( ( ( SV199 = sz00 )
| ~ ( doDivides0 @ SV176 @ SV199 ) )
= $true )
| ( ( sdtlseqdt0 @ SV176 @ SV199 )
= $true )
| ( ( aNaturalNumber0 @ SV176 )
= $false )
| ( ( aNaturalNumber0 @ SV199 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2450]) ).
thf(2507,plain,
! [SV200: $i,SV177: $i] :
( ( ( ( SV177 = sz00 )
| ~ ( doDivides0 @ SV177 @ SV200 ) )
= $true )
| ( ( ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtasdt0 @ SY340 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY340 @ SV200 ) @ SV177 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV177 )
= $false )
| ( ( aNaturalNumber0 @ SV200 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2451]) ).
thf(2508,plain,
( ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2454]) ).
thf(2509,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2455]) ).
thf(2510,plain,
! [SV178: $i] :
( ( ! [SY269: $i,SY270: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY269 )
| ~ ( aNaturalNumber0 @ SY270 )
| ( SV178 = sz00 )
| ( SY269 = SY270 )
| ~ ( sdtlseqdt0 @ SY269 @ SY270 )
| ( ( sdtasdt0 @ SY269 @ SV178 )
!= ( sdtasdt0 @ SY270 @ SV178 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2458]) ).
thf(2511,plain,
! [SV178: $i] :
( ( ~ ( ~ ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV178 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SV178 @ SY271 )
!= ( sdtasdt0 @ SV178 @ SY272 ) ) )
| ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV178 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SY273 ) @ ( sdtasdt0 @ SV178 @ SY274 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2459]) ).
thf(2512,plain,
! [SV234: $i,SV225: $i,SV178: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV225 )
| ~ ( aNaturalNumber0 @ SV234 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV225 = SV234 )
| ~ ( sdtlseqdt0 @ SV225 @ SV234 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV225 @ SV178 ) @ ( sdtasdt0 @ SV234 @ SV178 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2460]) ).
thf(2513,plain,
! [SV211: $i] :
( ( ( aNaturalNumber0 @ SV211 )
= $false )
| ( ( ( sdtpldt0 @ xp @ SV211 )
= xm )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2461]) ).
thf(2514,plain,
! [SV235: $i,SV226: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV226 )
| ~ ( aNaturalNumber0 @ SV235 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV179 @ SV226 )
!= ( sdtpldt0 @ SV179 @ SV235 ) )
| ( SV226 = SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2464]) ).
thf(2515,plain,
! [SV236: $i,SV227: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV227 )
| ~ ( aNaturalNumber0 @ SV236 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV227 @ SV179 )
!= ( sdtpldt0 @ SV236 @ SV179 ) )
| ( SV227 = SV236 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2465]) ).
thf(2516,plain,
! [SV201: $i,SV180: $i] :
( ( ( ( SV180 = SV201 )
| ~ ( sdtlseqdt0 @ SV180 @ SV201 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( ( sdtpldt0 @ SV180 @ SY341 )
!= ( sdtpldt0 @ SV201 @ SY341 ) ) )
| ~ ~ ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) )
| ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) ) )
| ~ ! [SY344: $i] :
( ~ ( aNaturalNumber0 @ SY344 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY344 ) @ ( sdtpldt0 @ SV201 @ SY344 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2466]) ).
thf(2517,plain,
( ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2467]) ).
thf(2518,plain,
( ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2468]) ).
thf(2519,plain,
! [SV214: $i] :
( ( ( ( sz10 != SV214 ) )
= $true )
| ( ( ( SV214 = sz00 )
| ( SV214 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV214 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2471]) ).
thf(2520,plain,
! [SV215: $i] :
( ( ( sdtlseqdt0 @ sz10 @ SV215 )
= $true )
| ( ( ( SV215 = sz00 )
| ( SV215 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV215 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2472]) ).
thf(2521,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2473]) ).
thf(2522,plain,
( ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2474]) ).
thf(2523,plain,
! [SV216: $i] :
( ( ( aNaturalNumber0 @ SV216 )
= $false )
| ( ( ( sdtpldt0 @ ( sdtasdt0 @ xn @ xm ) @ SV216 )
= ( sdtasdt0 @ xp @ xm ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2475]) ).
thf(2524,plain,
! [SV181: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY286: $i,SY287: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY286 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY287
!= ( sdtasdt0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ SY287 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= SY287 ) ) ) )
| ( SY287 = sz00 )
| ( SY287 = sz10 )
| ! [SY288: $i] :
( ( ( sdtasdt0 @ SV181 @ SY286 )
!= ( sdtasdt0 @ SY287 @ SY288 ) )
| ~ ( aNaturalNumber0 @ SY288 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY286 ) @ SY287 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY287 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( ( SY286
!= ( sdtasdt0 @ SY287 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) ) )
| ~ ! [SY289: $i,SY290: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY289 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY290
!= ( sdtasdt0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ SY290 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= SY290 ) ) ) )
| ( SY290 = sz00 )
| ( SY290 = sz10 )
| ! [SY291: $i] :
( ( ( sdtasdt0 @ SV181 @ SY289 )
!= ( sdtasdt0 @ SY290 @ SY291 ) )
| ~ ( aNaturalNumber0 @ SY291 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY289 ) @ SY290 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY290 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ( doDivides0 @ SY290 @ SY289 ) ) )
| ~ ~ ( ~ ! [SY292: $i,SY293: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY292 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY293
!= ( sdtasdt0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ SY293 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= SY293 ) ) ) )
| ( SY293 = sz00 )
| ( SY293 = sz10 )
| ! [SY294: $i] :
( ( ( sdtasdt0 @ SV181 @ SY292 )
!= ( sdtasdt0 @ SY293 @ SY294 ) )
| ~ ( aNaturalNumber0 @ SY294 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY292 ) @ SY293 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY293 @ SV181 )
| ~ ( ( SY292
!= ( sdtasdt0 @ SY293 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY295 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY296
!= ( sdtasdt0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ SY296 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= SY296 ) ) ) )
| ( SY296 = sz00 )
| ( SY296 = sz10 )
| ! [SY297: $i] :
( ( ( sdtasdt0 @ SV181 @ SY295 )
!= ( sdtasdt0 @ SY296 @ SY297 ) )
| ~ ( aNaturalNumber0 @ SY297 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY295 ) @ SY296 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY296 @ SV181 )
| ( doDivides0 @ SY296 @ SY295 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2476]) ).
thf(2525,plain,
! [SV181: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= SY299 ) ) ) )
| ( SY299 = sz00 )
| ( SY299 = sz10 )
| ~ ( doDivides0 @ SY299 @ ( sdtasdt0 @ SV181 @ SY298 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY298 ) @ SY299 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY299 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( ( SY298
!= ( sdtasdt0 @ SY299 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) ) )
| ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= SY301 ) ) ) )
| ( SY301 = sz00 )
| ( SY301 = sz10 )
| ~ ( doDivides0 @ SY301 @ ( sdtasdt0 @ SV181 @ SY300 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY300 ) @ SY301 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY301 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ( doDivides0 @ SY301 @ SY300 ) ) )
| ~ ~ ( ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= SY303 ) ) ) )
| ( SY303 = sz00 )
| ( SY303 = sz10 )
| ~ ( doDivides0 @ SY303 @ ( sdtasdt0 @ SV181 @ SY302 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY302 ) @ SY303 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY303 @ SV181 )
| ~ ( ( SY302
!= ( sdtasdt0 @ SY303 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) ) )
| ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY305
!= ( sdtasdt0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ SY305 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= SY305 ) ) ) )
| ( SY305 = sz00 )
| ( SY305 = sz10 )
| ~ ( doDivides0 @ SY305 @ ( sdtasdt0 @ SV181 @ SY304 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY305 @ SV181 )
| ( doDivides0 @ SY305 @ SY304 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2477]) ).
thf(2526,plain,
! [SV181: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY306: $i,SY307: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY306 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( isPrime0 @ SY307 )
| ! [SY308: $i] :
( ( ( sdtasdt0 @ SV181 @ SY306 )
!= ( sdtasdt0 @ SY307 @ SY308 ) )
| ~ ( aNaturalNumber0 @ SY308 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY306 ) @ SY307 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY307 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( ( SY306
!= ( sdtasdt0 @ SY307 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) ) )
| ~ ! [SY309: $i,SY310: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY309 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( isPrime0 @ SY310 )
| ! [SY311: $i] :
( ( ( sdtasdt0 @ SV181 @ SY309 )
!= ( sdtasdt0 @ SY310 @ SY311 ) )
| ~ ( aNaturalNumber0 @ SY311 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY309 ) @ SY310 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY310 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ( doDivides0 @ SY310 @ SY309 ) ) )
| ~ ~ ( ~ ! [SY312: $i,SY313: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY312 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( isPrime0 @ SY313 )
| ! [SY314: $i] :
( ( ( sdtasdt0 @ SV181 @ SY312 )
!= ( sdtasdt0 @ SY313 @ SY314 ) )
| ~ ( aNaturalNumber0 @ SY314 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY312 ) @ SY313 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY313 @ SV181 )
| ~ ( ( SY312
!= ( sdtasdt0 @ SY313 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) ) )
| ~ ! [SY315: $i,SY316: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY315 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( isPrime0 @ SY316 )
| ! [SY317: $i] :
( ( ( sdtasdt0 @ SV181 @ SY315 )
!= ( sdtasdt0 @ SY316 @ SY317 ) )
| ~ ( aNaturalNumber0 @ SY317 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY315 ) @ SY316 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY316 @ SV181 )
| ( doDivides0 @ SY316 @ SY315 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2478]) ).
thf(2527,plain,
! [SV181: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY318: $i,SY319: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY318 )
| ~ ( aNaturalNumber0 @ SY319 )
| ~ ( isPrime0 @ SY319 )
| ~ ( doDivides0 @ SY319 @ ( sdtasdt0 @ SV181 @ SY318 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY318 ) @ SY319 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY319 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( ( SY318
!= ( sdtasdt0 @ SY319 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) ) )
| ~ ! [SY320: $i,SY321: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY320 )
| ~ ( aNaturalNumber0 @ SY321 )
| ~ ( isPrime0 @ SY321 )
| ~ ( doDivides0 @ SY321 @ ( sdtasdt0 @ SV181 @ SY320 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY320 ) @ SY321 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY321 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ( doDivides0 @ SY321 @ SY320 ) ) )
| ~ ~ ( ~ ! [SY322: $i,SY323: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY322 )
| ~ ( aNaturalNumber0 @ SY323 )
| ~ ( isPrime0 @ SY323 )
| ~ ( doDivides0 @ SY323 @ ( sdtasdt0 @ SV181 @ SY322 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY322 ) @ SY323 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY323 @ SV181 )
| ~ ( ( SY322
!= ( sdtasdt0 @ SY323 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ~ ( isPrime0 @ SY325 )
| ~ ( doDivides0 @ SY325 @ ( sdtasdt0 @ SV181 @ SY324 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY324 ) @ SY325 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY325 @ SV181 )
| ( doDivides0 @ SY325 @ SY324 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2479]) ).
thf(2528,plain,
! [SV217: $i] :
( ( ( aNaturalNumber0 @ SV217 )
= $false )
| ( ( ( sdtpldt0 @ xp @ SV217 )
= xn )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2482]) ).
thf(2529,plain,
! [SV182: $i] :
( ( ( ! [SY326: $i,SY327: $i] :
( ~ ( aNaturalNumber0 @ SY326 )
| ~ ( aNaturalNumber0 @ SY327 )
| ( ( sdtasdt0 @ SV182 @ SY326 )
!= ( sdtasdt0 @ SV182 @ SY327 ) )
| ( SY326 = SY327 ) ) )
= $true )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2483]) ).
thf(2530,plain,
! [SV182: $i] :
( ( ( ! [SY328: $i,SY329: $i] :
( ~ ( aNaturalNumber0 @ SY328 )
| ~ ( aNaturalNumber0 @ SY329 )
| ( ( sdtasdt0 @ SY328 @ SV182 )
!= ( sdtasdt0 @ SY329 @ SV182 ) )
| ( SY328 = SY329 ) ) )
= $true )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2484]) ).
thf(2531,plain,
! [SV228: $i,SV218: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV218 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV228 ) )
= $true )
| ( ( ( SV228 != SV218 )
| ( sdtlseqdt0 @ SV218 @ SV228 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2485]) ).
thf(2532,plain,
! [SV229: $i,SV219: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV219 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV229 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV229 @ SV219 )
| ( sdtlseqdt0 @ SV219 @ SV229 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2486]) ).
thf(2533,plain,
! [SV230: $i,SV222: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV222 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV230 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV222 @ SV230 )
!= sz00 )
| ( SV222 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2489]) ).
thf(2534,plain,
! [SV231: $i,SV223: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV223 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV231 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV223 @ SV231 )
!= sz00 )
| ( SV231 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2490]) ).
thf(2535,plain,
! [SV237: $i,SV232: $i,SV183: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SV232 )
| ~ ( aNaturalNumber0 @ SV237 ) )
= $true )
| ( ( ( sdtasdt0 @ SV183 @ ( sdtpldt0 @ SV232 @ SV237 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV183 @ SV232 ) @ ( sdtasdt0 @ SV183 @ SV237 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2491]) ).
thf(2536,plain,
! [SV238: $i,SV233: $i,SV183: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SV233 )
| ~ ( aNaturalNumber0 @ SV238 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SV238 ) @ SV183 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV183 ) @ ( sdtasdt0 @ SV238 @ SV183 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2492]) ).
thf(2537,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2493]) ).
thf(2538,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2494]) ).
thf(2539,plain,
! [SV184: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV184 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV184 ) @ SV184 ) ) )
= $false )
| ( ( SV184 = sz10 )
= $true )
| ( ( SV184 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2495]) ).
thf(2540,plain,
! [SV184: $i] :
( ( ( ~ ( isPrime0 @ ( sK1_W1 @ SV184 ) ) )
= $false )
| ( ( SV184 = sz10 )
= $true )
| ( ( SV184 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2495]) ).
thf(2541,plain,
! [SV202: $i,SV164: $i,SV188: $i] :
( ( ( aNaturalNumber0 @ SV188 )
= $false )
| ( ( aNaturalNumber0 @ SV164 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV202 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV164 @ SV188 ) @ SV202 )
= ( sdtpldt0 @ SV164 @ ( sdtpldt0 @ SV188 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2496]) ).
thf(2542,plain,
! [SV203: $i,SV166: $i,SV190: $i] :
( ( ( aNaturalNumber0 @ SV190 )
= $false )
| ( ( aNaturalNumber0 @ SV166 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV203 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV166 @ SV190 ) @ SV203 )
= ( sdtasdt0 @ SV166 @ ( sdtasdt0 @ SV190 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2497]) ).
thf(2543,plain,
! [SV191: $i,SV167: $i] :
( ( ( ( sdtasdt0 @ SV167 @ SV191 )
= sz00 )
= $false )
| ( ( ( SV167 = sz00 )
| ( SV191 = sz00 ) )
= $true )
| ( ( aNaturalNumber0 @ SV167 )
= $false )
| ( ( aNaturalNumber0 @ SV191 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2498]) ).
thf(2544,plain,
! [SV192: $i,SV169: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV169 @ SV192 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV192 @ SV169 ) )
= $true )
| ( ( SV169 = SV192 )
= $true )
| ( ( aNaturalNumber0 @ SV169 )
= $false )
| ( ( aNaturalNumber0 @ SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2499]) ).
thf(2545,plain,
! [SV204: $i,SV170: $i,SV193: $i] :
( ( ( aNaturalNumber0 @ SV193 )
= $false )
| ( ( aNaturalNumber0 @ SV170 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV204 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV170 @ SV193 )
| ~ ( sdtlseqdt0 @ SV193 @ SV204 )
| ( sdtlseqdt0 @ SV170 @ SV204 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2500]) ).
thf(2546,plain,
! [SV195: $i,SV172: $i] :
( ( ( SV172 = SV195 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV172 @ SV195 ) )
= $true )
| ( ( iLess0 @ SV172 @ SV195 )
= $true )
| ( ( aNaturalNumber0 @ SV172 )
= $false )
| ( ( aNaturalNumber0 @ SV195 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2502]) ).
thf(2547,plain,
! [SV206: $i,SV173: $i,SV196: $i] :
( ( ( aNaturalNumber0 @ SV196 )
= $false )
| ( ( aNaturalNumber0 @ SV173 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV206 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV173 @ SV196 )
| ~ ( doDivides0 @ SV196 @ SV206 )
| ( doDivides0 @ SV173 @ SV206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2503]) ).
thf(2548,plain,
! [SV207: $i,SV174: $i,SV197: $i] :
( ( ( aNaturalNumber0 @ SV197 )
= $false )
| ( ( aNaturalNumber0 @ SV174 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV207 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV174 @ SV197 )
| ~ ( doDivides0 @ SV174 @ SV207 )
| ( doDivides0 @ SV174 @ ( sdtpldt0 @ SV197 @ SV207 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2504]) ).
thf(2549,plain,
! [SV208: $i,SV175: $i,SV198: $i] :
( ( ( aNaturalNumber0 @ SV198 )
= $false )
| ( ( aNaturalNumber0 @ SV175 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV208 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV175 @ SV198 )
| ~ ( doDivides0 @ SV175 @ ( sdtpldt0 @ SV198 @ SV208 ) )
| ( doDivides0 @ SV175 @ SV208 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2505]) ).
thf(2550,plain,
! [SV176: $i,SV199: $i] :
( ( ( SV199 = sz00 )
= $true )
| ( ( ~ ( doDivides0 @ SV176 @ SV199 ) )
= $true )
| ( ( sdtlseqdt0 @ SV176 @ SV199 )
= $true )
| ( ( aNaturalNumber0 @ SV176 )
= $false )
| ( ( aNaturalNumber0 @ SV199 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2506]) ).
thf(2551,plain,
! [SV200: $i,SV177: $i] :
( ( ( SV177 = sz00 )
= $true )
| ( ( ~ ( doDivides0 @ SV177 @ SV200 ) )
= $true )
| ( ( ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtasdt0 @ SY340 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY340 @ SV200 ) @ SV177 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV177 )
= $false )
| ( ( aNaturalNumber0 @ SV200 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2507]) ).
thf(2552,plain,
( ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2508]) ).
thf(2553,plain,
( ( ~ ( aNaturalNumber0 @ sK4_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2508]) ).
thf(2554,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2509]) ).
thf(2555,plain,
( ( ~ ( aNaturalNumber0 @ sK3_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2509]) ).
thf(2556,plain,
! [SV239: $i,SV178: $i] :
( ( ! [SY354: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV239 )
| ~ ( aNaturalNumber0 @ SY354 )
| ( SV178 = sz00 )
| ( SV239 = SY354 )
| ~ ( sdtlseqdt0 @ SV239 @ SY354 )
| ( ( sdtasdt0 @ SV239 @ SV178 )
!= ( sdtasdt0 @ SY354 @ SV178 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2510]) ).
thf(2557,plain,
! [SV178: $i] :
( ( ~ ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV178 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SV178 @ SY271 )
!= ( sdtasdt0 @ SV178 @ SY272 ) ) )
| ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV178 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SY273 ) @ ( sdtasdt0 @ SV178 @ SY274 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2511]) ).
thf(2558,plain,
! [SV234: $i,SV225: $i,SV178: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV225 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV234 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV225 = SV234 )
| ~ ( sdtlseqdt0 @ SV225 @ SV234 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV225 @ SV178 ) @ ( sdtasdt0 @ SV234 @ SV178 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2512]) ).
thf(2559,plain,
! [SV235: $i,SV226: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV226 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV235 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV179 @ SV226 )
!= ( sdtpldt0 @ SV179 @ SV235 ) )
| ( SV226 = SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2514]) ).
thf(2560,plain,
! [SV236: $i,SV227: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV227 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV236 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV227 @ SV179 )
!= ( sdtpldt0 @ SV236 @ SV179 ) )
| ( SV227 = SV236 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2515]) ).
thf(2561,plain,
! [SV201: $i,SV180: $i] :
( ( ( SV180 = SV201 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV180 @ SV201 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( ( sdtpldt0 @ SV180 @ SY341 )
!= ( sdtpldt0 @ SV201 @ SY341 ) ) )
| ~ ~ ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) )
| ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) ) )
| ~ ! [SY344: $i] :
( ~ ( aNaturalNumber0 @ SY344 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY344 ) @ ( sdtpldt0 @ SV201 @ SY344 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2516]) ).
thf(2562,plain,
( ( ~ ( ( xm != xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2517]) ).
thf(2563,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2517]) ).
thf(2564,plain,
( ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2518]) ).
thf(2565,plain,
( ( ~ ( aNaturalNumber0 @ sK6_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2518]) ).
thf(2566,plain,
! [SV214: $i] :
( ( ( sz10 = SV214 )
= $false )
| ( ( ( SV214 = sz00 )
| ( SV214 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2519]) ).
thf(2567,plain,
! [SV215: $i] :
( ( ( SV215 = sz00 )
= $true )
| ( ( SV215 = sz10 )
= $true )
| ( ( sdtlseqdt0 @ sz10 @ SV215 )
= $true )
| ( ( aNaturalNumber0 @ SV215 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2520]) ).
thf(2568,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2521]) ).
thf(2569,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2521]) ).
thf(2570,plain,
( ( ~ ( ( xr != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2522]) ).
thf(2571,plain,
( ( ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2522]) ).
thf(2572,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY286: $i,SY287: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY286 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY287
!= ( sdtasdt0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ SY287 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= SY287 ) ) ) )
| ( SY287 = sz00 )
| ( SY287 = sz10 )
| ! [SY288: $i] :
( ( ( sdtasdt0 @ SV181 @ SY286 )
!= ( sdtasdt0 @ SY287 @ SY288 ) )
| ~ ( aNaturalNumber0 @ SY288 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY286 ) @ SY287 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY287 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( ( SY286
!= ( sdtasdt0 @ SY287 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) ) )
| ~ ! [SY289: $i,SY290: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY289 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY290
!= ( sdtasdt0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ SY290 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= SY290 ) ) ) )
| ( SY290 = sz00 )
| ( SY290 = sz10 )
| ! [SY291: $i] :
( ( ( sdtasdt0 @ SV181 @ SY289 )
!= ( sdtasdt0 @ SY290 @ SY291 ) )
| ~ ( aNaturalNumber0 @ SY291 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY289 ) @ SY290 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY290 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ( doDivides0 @ SY290 @ SY289 ) ) )
| ~ ~ ( ~ ! [SY292: $i,SY293: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY292 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY293
!= ( sdtasdt0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ SY293 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= SY293 ) ) ) )
| ( SY293 = sz00 )
| ( SY293 = sz10 )
| ! [SY294: $i] :
( ( ( sdtasdt0 @ SV181 @ SY292 )
!= ( sdtasdt0 @ SY293 @ SY294 ) )
| ~ ( aNaturalNumber0 @ SY294 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY292 ) @ SY293 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY293 @ SV181 )
| ~ ( ( SY292
!= ( sdtasdt0 @ SY293 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY295 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY296
!= ( sdtasdt0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ SY296 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= SY296 ) ) ) )
| ( SY296 = sz00 )
| ( SY296 = sz10 )
| ! [SY297: $i] :
( ( ( sdtasdt0 @ SV181 @ SY295 )
!= ( sdtasdt0 @ SY296 @ SY297 ) )
| ~ ( aNaturalNumber0 @ SY297 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY295 ) @ SY296 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY296 @ SV181 )
| ( doDivides0 @ SY296 @ SY295 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2524]) ).
thf(2573,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= SY299 ) ) ) )
| ( SY299 = sz00 )
| ( SY299 = sz10 )
| ~ ( doDivides0 @ SY299 @ ( sdtasdt0 @ SV181 @ SY298 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY298 ) @ SY299 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY299 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( ( SY298
!= ( sdtasdt0 @ SY299 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) ) )
| ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= SY301 ) ) ) )
| ( SY301 = sz00 )
| ( SY301 = sz10 )
| ~ ( doDivides0 @ SY301 @ ( sdtasdt0 @ SV181 @ SY300 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY300 ) @ SY301 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY301 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ( doDivides0 @ SY301 @ SY300 ) ) )
| ~ ~ ( ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= SY303 ) ) ) )
| ( SY303 = sz00 )
| ( SY303 = sz10 )
| ~ ( doDivides0 @ SY303 @ ( sdtasdt0 @ SV181 @ SY302 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY302 ) @ SY303 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY303 @ SV181 )
| ~ ( ( SY302
!= ( sdtasdt0 @ SY303 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) ) )
| ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY305
!= ( sdtasdt0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ SY305 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= SY305 ) ) ) )
| ( SY305 = sz00 )
| ( SY305 = sz10 )
| ~ ( doDivides0 @ SY305 @ ( sdtasdt0 @ SV181 @ SY304 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY305 @ SV181 )
| ( doDivides0 @ SY305 @ SY304 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2525]) ).
thf(2574,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY306: $i,SY307: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY306 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( isPrime0 @ SY307 )
| ! [SY308: $i] :
( ( ( sdtasdt0 @ SV181 @ SY306 )
!= ( sdtasdt0 @ SY307 @ SY308 ) )
| ~ ( aNaturalNumber0 @ SY308 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY306 ) @ SY307 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY307 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( ( SY306
!= ( sdtasdt0 @ SY307 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) ) )
| ~ ! [SY309: $i,SY310: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY309 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( isPrime0 @ SY310 )
| ! [SY311: $i] :
( ( ( sdtasdt0 @ SV181 @ SY309 )
!= ( sdtasdt0 @ SY310 @ SY311 ) )
| ~ ( aNaturalNumber0 @ SY311 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY309 ) @ SY310 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY310 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ( doDivides0 @ SY310 @ SY309 ) ) )
| ~ ~ ( ~ ! [SY312: $i,SY313: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY312 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( isPrime0 @ SY313 )
| ! [SY314: $i] :
( ( ( sdtasdt0 @ SV181 @ SY312 )
!= ( sdtasdt0 @ SY313 @ SY314 ) )
| ~ ( aNaturalNumber0 @ SY314 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY312 ) @ SY313 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY313 @ SV181 )
| ~ ( ( SY312
!= ( sdtasdt0 @ SY313 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) ) )
| ~ ! [SY315: $i,SY316: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY315 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( isPrime0 @ SY316 )
| ! [SY317: $i] :
( ( ( sdtasdt0 @ SV181 @ SY315 )
!= ( sdtasdt0 @ SY316 @ SY317 ) )
| ~ ( aNaturalNumber0 @ SY317 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY315 ) @ SY316 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY316 @ SV181 )
| ( doDivides0 @ SY316 @ SY315 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2526]) ).
thf(2575,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY318: $i,SY319: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY318 )
| ~ ( aNaturalNumber0 @ SY319 )
| ~ ( isPrime0 @ SY319 )
| ~ ( doDivides0 @ SY319 @ ( sdtasdt0 @ SV181 @ SY318 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY318 ) @ SY319 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY319 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( ( SY318
!= ( sdtasdt0 @ SY319 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) ) )
| ~ ! [SY320: $i,SY321: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY320 )
| ~ ( aNaturalNumber0 @ SY321 )
| ~ ( isPrime0 @ SY321 )
| ~ ( doDivides0 @ SY321 @ ( sdtasdt0 @ SV181 @ SY320 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY320 ) @ SY321 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY321 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ( doDivides0 @ SY321 @ SY320 ) ) )
| ~ ~ ( ~ ! [SY322: $i,SY323: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY322 )
| ~ ( aNaturalNumber0 @ SY323 )
| ~ ( isPrime0 @ SY323 )
| ~ ( doDivides0 @ SY323 @ ( sdtasdt0 @ SV181 @ SY322 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY322 ) @ SY323 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY323 @ SV181 )
| ~ ( ( SY322
!= ( sdtasdt0 @ SY323 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ~ ( isPrime0 @ SY325 )
| ~ ( doDivides0 @ SY325 @ ( sdtasdt0 @ SV181 @ SY324 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY324 ) @ SY325 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY325 @ SV181 )
| ( doDivides0 @ SY325 @ SY324 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2527]) ).
thf(2576,plain,
! [SV182: $i,SV240: $i] :
( ( ( ! [SY355: $i] :
( ~ ( aNaturalNumber0 @ SV240 )
| ~ ( aNaturalNumber0 @ SY355 )
| ( ( sdtasdt0 @ SV182 @ SV240 )
!= ( sdtasdt0 @ SV182 @ SY355 ) )
| ( SV240 = SY355 ) ) )
= $true )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2529]) ).
thf(2577,plain,
! [SV182: $i,SV241: $i] :
( ( ( ! [SY356: $i] :
( ~ ( aNaturalNumber0 @ SV241 )
| ~ ( aNaturalNumber0 @ SY356 )
| ( ( sdtasdt0 @ SV241 @ SV182 )
!= ( sdtasdt0 @ SY356 @ SV182 ) )
| ( SV241 = SY356 ) ) )
= $true )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2530]) ).
thf(2578,plain,
! [SV228: $i,SV218: $i] :
( ( ( aNaturalNumber0 @ SV218 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV228 ) )
= $true )
| ( ( ( SV228 != SV218 )
| ( sdtlseqdt0 @ SV218 @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2531]) ).
thf(2579,plain,
! [SV229: $i,SV219: $i] :
( ( ( aNaturalNumber0 @ SV219 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV229 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV229 @ SV219 )
| ( sdtlseqdt0 @ SV219 @ SV229 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2532]) ).
thf(2580,plain,
! [SV230: $i,SV222: $i] :
( ( ( aNaturalNumber0 @ SV222 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV230 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV222 @ SV230 )
!= sz00 )
| ( SV222 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2533]) ).
thf(2581,plain,
! [SV231: $i,SV223: $i] :
( ( ( aNaturalNumber0 @ SV223 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV231 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV223 @ SV231 )
!= sz00 )
| ( SV231 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2534]) ).
thf(2582,plain,
! [SV237: $i,SV232: $i,SV183: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SV232 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV237 ) )
= $true )
| ( ( ( sdtasdt0 @ SV183 @ ( sdtpldt0 @ SV232 @ SV237 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV183 @ SV232 ) @ ( sdtasdt0 @ SV183 @ SV237 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2535]) ).
thf(2583,plain,
! [SV238: $i,SV233: $i,SV183: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV183 )
| ~ ( aNaturalNumber0 @ SV233 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV238 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SV238 ) @ SV183 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV183 ) @ ( sdtasdt0 @ SV238 @ SV183 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2536]) ).
thf(2584,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2537]) ).
thf(2585,plain,
( ( ~ ( isPrime0 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2537]) ).
thf(2586,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2538]) ).
thf(2587,plain,
( ( ~ ( aNaturalNumber0 @ sK8_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2538]) ).
thf(2588,plain,
! [SV184: $i] :
( ( ( ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV184 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV184 ) @ SV184 ) ) )
= $true )
| ( ( SV184 = sz10 )
= $true )
| ( ( SV184 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2539]) ).
thf(2589,plain,
! [SV184: $i] :
( ( ( isPrime0 @ ( sK1_W1 @ SV184 ) )
= $true )
| ( ( SV184 = sz10 )
= $true )
| ( ( SV184 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2540]) ).
thf(2590,plain,
! [SV188: $i,SV164: $i,SV202: $i] :
( ( ( aNaturalNumber0 @ SV202 )
= $false )
| ( ( aNaturalNumber0 @ SV164 )
= $false )
| ( ( aNaturalNumber0 @ SV188 )
= $false )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV164 @ SV188 ) @ SV202 )
= ( sdtpldt0 @ SV164 @ ( sdtpldt0 @ SV188 @ SV202 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2541]) ).
thf(2591,plain,
! [SV190: $i,SV166: $i,SV203: $i] :
( ( ( aNaturalNumber0 @ SV203 )
= $false )
| ( ( aNaturalNumber0 @ SV166 )
= $false )
| ( ( aNaturalNumber0 @ SV190 )
= $false )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV166 @ SV190 ) @ SV203 )
= ( sdtasdt0 @ SV166 @ ( sdtasdt0 @ SV190 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2542]) ).
thf(2592,plain,
! [SV191: $i,SV167: $i] :
( ( ( SV167 = sz00 )
= $true )
| ( ( SV191 = sz00 )
= $true )
| ( ( ( sdtasdt0 @ SV167 @ SV191 )
= sz00 )
= $false )
| ( ( aNaturalNumber0 @ SV167 )
= $false )
| ( ( aNaturalNumber0 @ SV191 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2543]) ).
thf(2593,plain,
! [SV192: $i,SV169: $i] :
( ( ( sdtlseqdt0 @ SV169 @ SV192 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV192 @ SV169 ) )
= $true )
| ( ( SV169 = SV192 )
= $true )
| ( ( aNaturalNumber0 @ SV169 )
= $false )
| ( ( aNaturalNumber0 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2544]) ).
thf(2594,plain,
! [SV193: $i,SV170: $i,SV204: $i] :
( ( ( aNaturalNumber0 @ SV204 )
= $false )
| ( ( aNaturalNumber0 @ SV170 )
= $false )
| ( ( aNaturalNumber0 @ SV193 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV170 @ SV193 )
| ~ ( sdtlseqdt0 @ SV193 @ SV204 )
| ( sdtlseqdt0 @ SV170 @ SV204 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2545]) ).
thf(2595,plain,
! [SV195: $i,SV172: $i] :
( ( ( sdtlseqdt0 @ SV172 @ SV195 )
= $false )
| ( ( SV172 = SV195 )
= $true )
| ( ( iLess0 @ SV172 @ SV195 )
= $true )
| ( ( aNaturalNumber0 @ SV172 )
= $false )
| ( ( aNaturalNumber0 @ SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2546]) ).
thf(2596,plain,
! [SV196: $i,SV173: $i,SV206: $i] :
( ( ( aNaturalNumber0 @ SV206 )
= $false )
| ( ( aNaturalNumber0 @ SV173 )
= $false )
| ( ( aNaturalNumber0 @ SV196 )
= $false )
| ( ( ~ ( doDivides0 @ SV173 @ SV196 )
| ~ ( doDivides0 @ SV196 @ SV206 )
| ( doDivides0 @ SV173 @ SV206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2547]) ).
thf(2597,plain,
! [SV197: $i,SV174: $i,SV207: $i] :
( ( ( aNaturalNumber0 @ SV207 )
= $false )
| ( ( aNaturalNumber0 @ SV174 )
= $false )
| ( ( aNaturalNumber0 @ SV197 )
= $false )
| ( ( ~ ( doDivides0 @ SV174 @ SV197 )
| ~ ( doDivides0 @ SV174 @ SV207 )
| ( doDivides0 @ SV174 @ ( sdtpldt0 @ SV197 @ SV207 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2548]) ).
thf(2598,plain,
! [SV198: $i,SV175: $i,SV208: $i] :
( ( ( aNaturalNumber0 @ SV208 )
= $false )
| ( ( aNaturalNumber0 @ SV175 )
= $false )
| ( ( aNaturalNumber0 @ SV198 )
= $false )
| ( ( ~ ( doDivides0 @ SV175 @ SV198 )
| ~ ( doDivides0 @ SV175 @ ( sdtpldt0 @ SV198 @ SV208 ) )
| ( doDivides0 @ SV175 @ SV208 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2549]) ).
thf(2599,plain,
! [SV199: $i,SV176: $i] :
( ( ( doDivides0 @ SV176 @ SV199 )
= $false )
| ( ( SV199 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ SV176 @ SV199 )
= $true )
| ( ( aNaturalNumber0 @ SV176 )
= $false )
| ( ( aNaturalNumber0 @ SV199 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2550]) ).
thf(2600,plain,
! [SV200: $i,SV177: $i] :
( ( ( doDivides0 @ SV177 @ SV200 )
= $false )
| ( ( SV177 = sz00 )
= $true )
| ( ( ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtasdt0 @ SY340 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY340 @ SV200 ) @ SV177 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV177 )
= $false )
| ( ( aNaturalNumber0 @ SV200 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2551]) ).
thf(2601,plain,
( ( ( sdtpldt0 @ xr @ sK4_W0 )
= xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2552]) ).
thf(2602,plain,
( ( aNaturalNumber0 @ sK4_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2553]) ).
thf(2603,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sK3_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2554]) ).
thf(2604,plain,
( ( aNaturalNumber0 @ sK3_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2555]) ).
thf(2605,plain,
! [SV242: $i,SV239: $i,SV178: $i] :
( ( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV239 )
| ~ ( aNaturalNumber0 @ SV242 )
| ( SV178 = sz00 )
| ( SV239 = SV242 )
| ~ ( sdtlseqdt0 @ SV239 @ SV242 )
| ( ( sdtasdt0 @ SV239 @ SV178 )
!= ( sdtasdt0 @ SV242 @ SV178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2556]) ).
thf(2606,plain,
! [SV178: $i] :
( ( ~ ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV178 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SV178 @ SY271 )
!= ( sdtasdt0 @ SV178 @ SY272 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2557]) ).
thf(2607,plain,
! [SV178: $i] :
( ( ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV178 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SY273 ) @ ( sdtasdt0 @ SV178 @ SY274 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2557]) ).
thf(2608,plain,
! [SV234: $i,SV225: $i,SV178: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV178 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV225 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV234 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV225 = SV234 )
| ~ ( sdtlseqdt0 @ SV225 @ SV234 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV225 @ SV178 ) @ ( sdtasdt0 @ SV234 @ SV178 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2558]) ).
thf(2609,plain,
! [SV235: $i,SV226: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV226 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV235 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV179 @ SV226 )
!= ( sdtpldt0 @ SV179 @ SV235 ) )
| ( SV226 = SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2559]) ).
thf(2610,plain,
! [SV236: $i,SV227: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV227 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV236 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV227 @ SV179 )
!= ( sdtpldt0 @ SV236 @ SV179 ) )
| ( SV227 = SV236 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2560]) ).
thf(2611,plain,
! [SV201: $i,SV180: $i] :
( ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( ( sdtpldt0 @ SV180 @ SY341 )
!= ( sdtpldt0 @ SV201 @ SY341 ) ) )
| ~ ~ ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) )
| ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) ) )
| ~ ! [SY344: $i] :
( ~ ( aNaturalNumber0 @ SY344 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY344 ) @ ( sdtpldt0 @ SV201 @ SY344 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2561]) ).
thf(2612,plain,
( ( ( xm != xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2562]) ).
thf(2613,plain,
( ( ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2563]) ).
thf(2614,plain,
( ( ( sdtpldt0 @ xm @ sK6_W0 )
= xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2564]) ).
thf(2615,plain,
( ( aNaturalNumber0 @ sK6_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2565]) ).
thf(2616,plain,
! [SV214: $i] :
( ( ( SV214 = sz00 )
= $true )
| ( ( SV214 = sz10 )
= $true )
| ( ( sz10 = SV214 )
= $false )
| ( ( aNaturalNumber0 @ SV214 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2566]) ).
thf(2617,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2568]) ).
thf(2618,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2569]) ).
thf(2619,plain,
( ( ( xr != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2570]) ).
thf(2620,plain,
( ( ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2571]) ).
thf(2621,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY286: $i,SY287: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY286 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY287
!= ( sdtasdt0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ SY287 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= SY287 ) ) ) )
| ( SY287 = sz00 )
| ( SY287 = sz10 )
| ! [SY288: $i] :
( ( ( sdtasdt0 @ SV181 @ SY286 )
!= ( sdtasdt0 @ SY287 @ SY288 ) )
| ~ ( aNaturalNumber0 @ SY288 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY286 ) @ SY287 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY287 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( ( SY286
!= ( sdtasdt0 @ SY287 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) ) )
| ~ ! [SY289: $i,SY290: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY289 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY290
!= ( sdtasdt0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ SY290 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= SY290 ) ) ) )
| ( SY290 = sz00 )
| ( SY290 = sz10 )
| ! [SY291: $i] :
( ( ( sdtasdt0 @ SV181 @ SY289 )
!= ( sdtasdt0 @ SY290 @ SY291 ) )
| ~ ( aNaturalNumber0 @ SY291 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY289 ) @ SY290 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY290 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ( doDivides0 @ SY290 @ SY289 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2572]) ).
thf(2622,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY292: $i,SY293: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY292 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY293
!= ( sdtasdt0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ SY293 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= SY293 ) ) ) )
| ( SY293 = sz00 )
| ( SY293 = sz10 )
| ! [SY294: $i] :
( ( ( sdtasdt0 @ SV181 @ SY292 )
!= ( sdtasdt0 @ SY293 @ SY294 ) )
| ~ ( aNaturalNumber0 @ SY294 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY292 ) @ SY293 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY293 @ SV181 )
| ~ ( ( SY292
!= ( sdtasdt0 @ SY293 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY295 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY296
!= ( sdtasdt0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ SY296 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= SY296 ) ) ) )
| ( SY296 = sz00 )
| ( SY296 = sz10 )
| ! [SY297: $i] :
( ( ( sdtasdt0 @ SV181 @ SY295 )
!= ( sdtasdt0 @ SY296 @ SY297 ) )
| ~ ( aNaturalNumber0 @ SY297 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY295 ) @ SY296 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY296 @ SV181 )
| ( doDivides0 @ SY296 @ SY295 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2572]) ).
thf(2623,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= SY299 ) ) ) )
| ( SY299 = sz00 )
| ( SY299 = sz10 )
| ~ ( doDivides0 @ SY299 @ ( sdtasdt0 @ SV181 @ SY298 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY298 ) @ SY299 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY299 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( ( SY298
!= ( sdtasdt0 @ SY299 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) ) )
| ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= SY301 ) ) ) )
| ( SY301 = sz00 )
| ( SY301 = sz10 )
| ~ ( doDivides0 @ SY301 @ ( sdtasdt0 @ SV181 @ SY300 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY300 ) @ SY301 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY301 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ( doDivides0 @ SY301 @ SY300 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2573]) ).
thf(2624,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= SY303 ) ) ) )
| ( SY303 = sz00 )
| ( SY303 = sz10 )
| ~ ( doDivides0 @ SY303 @ ( sdtasdt0 @ SV181 @ SY302 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY302 ) @ SY303 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY303 @ SV181 )
| ~ ( ( SY302
!= ( sdtasdt0 @ SY303 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) ) )
| ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY305
!= ( sdtasdt0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ SY305 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= SY305 ) ) ) )
| ( SY305 = sz00 )
| ( SY305 = sz10 )
| ~ ( doDivides0 @ SY305 @ ( sdtasdt0 @ SV181 @ SY304 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY305 @ SV181 )
| ( doDivides0 @ SY305 @ SY304 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2573]) ).
thf(2625,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY306: $i,SY307: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY306 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( isPrime0 @ SY307 )
| ! [SY308: $i] :
( ( ( sdtasdt0 @ SV181 @ SY306 )
!= ( sdtasdt0 @ SY307 @ SY308 ) )
| ~ ( aNaturalNumber0 @ SY308 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY306 ) @ SY307 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY307 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( ( SY306
!= ( sdtasdt0 @ SY307 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) ) )
| ~ ! [SY309: $i,SY310: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY309 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( isPrime0 @ SY310 )
| ! [SY311: $i] :
( ( ( sdtasdt0 @ SV181 @ SY309 )
!= ( sdtasdt0 @ SY310 @ SY311 ) )
| ~ ( aNaturalNumber0 @ SY311 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY309 ) @ SY310 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY310 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ( doDivides0 @ SY310 @ SY309 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2574]) ).
thf(2626,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY312: $i,SY313: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY312 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( isPrime0 @ SY313 )
| ! [SY314: $i] :
( ( ( sdtasdt0 @ SV181 @ SY312 )
!= ( sdtasdt0 @ SY313 @ SY314 ) )
| ~ ( aNaturalNumber0 @ SY314 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY312 ) @ SY313 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY313 @ SV181 )
| ~ ( ( SY312
!= ( sdtasdt0 @ SY313 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) ) )
| ~ ! [SY315: $i,SY316: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY315 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( isPrime0 @ SY316 )
| ! [SY317: $i] :
( ( ( sdtasdt0 @ SV181 @ SY315 )
!= ( sdtasdt0 @ SY316 @ SY317 ) )
| ~ ( aNaturalNumber0 @ SY317 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY315 ) @ SY316 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY316 @ SV181 )
| ( doDivides0 @ SY316 @ SY315 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2574]) ).
thf(2627,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY318: $i,SY319: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY318 )
| ~ ( aNaturalNumber0 @ SY319 )
| ~ ( isPrime0 @ SY319 )
| ~ ( doDivides0 @ SY319 @ ( sdtasdt0 @ SV181 @ SY318 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY318 ) @ SY319 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY319 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( ( SY318
!= ( sdtasdt0 @ SY319 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) ) )
| ~ ! [SY320: $i,SY321: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY320 )
| ~ ( aNaturalNumber0 @ SY321 )
| ~ ( isPrime0 @ SY321 )
| ~ ( doDivides0 @ SY321 @ ( sdtasdt0 @ SV181 @ SY320 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY320 ) @ SY321 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY321 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ( doDivides0 @ SY321 @ SY320 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2575]) ).
thf(2628,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY322: $i,SY323: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY322 )
| ~ ( aNaturalNumber0 @ SY323 )
| ~ ( isPrime0 @ SY323 )
| ~ ( doDivides0 @ SY323 @ ( sdtasdt0 @ SV181 @ SY322 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY322 ) @ SY323 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY323 @ SV181 )
| ~ ( ( SY322
!= ( sdtasdt0 @ SY323 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ~ ( isPrime0 @ SY325 )
| ~ ( doDivides0 @ SY325 @ ( sdtasdt0 @ SV181 @ SY324 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY324 ) @ SY325 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY325 @ SV181 )
| ( doDivides0 @ SY325 @ SY324 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2575]) ).
thf(2629,plain,
! [SV182: $i,SV243: $i,SV240: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV240 )
| ~ ( aNaturalNumber0 @ SV243 )
| ( ( sdtasdt0 @ SV182 @ SV240 )
!= ( sdtasdt0 @ SV182 @ SV243 ) )
| ( SV240 = SV243 ) )
= $true )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2576]) ).
thf(2630,plain,
! [SV182: $i,SV244: $i,SV241: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV241 )
| ~ ( aNaturalNumber0 @ SV244 )
| ( ( sdtasdt0 @ SV241 @ SV182 )
!= ( sdtasdt0 @ SV244 @ SV182 ) )
| ( SV241 = SV244 ) )
= $true )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2577]) ).
thf(2631,plain,
! [SV218: $i,SV228: $i] :
( ( ( aNaturalNumber0 @ SV228 )
= $false )
| ( ( aNaturalNumber0 @ SV218 )
= $false )
| ( ( ( SV228 != SV218 )
| ( sdtlseqdt0 @ SV218 @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2578]) ).
thf(2632,plain,
! [SV219: $i,SV229: $i] :
( ( ( aNaturalNumber0 @ SV229 )
= $false )
| ( ( aNaturalNumber0 @ SV219 )
= $false )
| ( ( ( sdtlseqdt0 @ SV229 @ SV219 )
| ( sdtlseqdt0 @ SV219 @ SV229 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2579]) ).
thf(2633,plain,
! [SV222: $i,SV230: $i] :
( ( ( aNaturalNumber0 @ SV230 )
= $false )
| ( ( aNaturalNumber0 @ SV222 )
= $false )
| ( ( ( ( sdtpldt0 @ SV222 @ SV230 )
!= sz00 )
| ( SV222 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2580]) ).
thf(2634,plain,
! [SV223: $i,SV231: $i] :
( ( ( aNaturalNumber0 @ SV231 )
= $false )
| ( ( aNaturalNumber0 @ SV223 )
= $false )
| ( ( ( ( sdtpldt0 @ SV223 @ SV231 )
!= sz00 )
| ( SV231 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2581]) ).
thf(2635,plain,
! [SV237: $i,SV232: $i,SV183: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV183 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV232 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV237 ) )
= $true )
| ( ( ( sdtasdt0 @ SV183 @ ( sdtpldt0 @ SV232 @ SV237 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV183 @ SV232 ) @ ( sdtasdt0 @ SV183 @ SV237 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2582]) ).
thf(2636,plain,
! [SV238: $i,SV233: $i,SV183: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV183 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV233 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV238 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SV238 ) @ SV183 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV183 ) @ ( sdtasdt0 @ SV238 @ SV183 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2583]) ).
thf(2637,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2584]) ).
thf(2638,plain,
( ( isPrime0 @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2585]) ).
thf(2639,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ sK8_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2586]) ).
thf(2640,plain,
( ( aNaturalNumber0 @ sK8_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2587]) ).
thf(2641,plain,
! [SV184: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV184 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV184 ) @ SV184 ) )
= $false )
| ( ( SV184 = sz10 )
= $true )
| ( ( SV184 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2588]) ).
thf(2642,plain,
! [SV169: $i,SV192: $i] :
( ( ( sdtlseqdt0 @ SV192 @ SV169 )
= $false )
| ( ( sdtlseqdt0 @ SV169 @ SV192 )
= $false )
| ( ( SV169 = SV192 )
= $true )
| ( ( aNaturalNumber0 @ SV169 )
= $false )
| ( ( aNaturalNumber0 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2593]) ).
thf(2643,plain,
! [SV204: $i,SV193: $i,SV170: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV170 @ SV193 )
| ~ ( sdtlseqdt0 @ SV193 @ SV204 ) )
= $true )
| ( ( sdtlseqdt0 @ SV170 @ SV204 )
= $true )
| ( ( aNaturalNumber0 @ SV193 )
= $false )
| ( ( aNaturalNumber0 @ SV170 )
= $false )
| ( ( aNaturalNumber0 @ SV204 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2594]) ).
thf(2644,plain,
! [SV206: $i,SV196: $i,SV173: $i] :
( ( ( ~ ( doDivides0 @ SV173 @ SV196 )
| ~ ( doDivides0 @ SV196 @ SV206 ) )
= $true )
| ( ( doDivides0 @ SV173 @ SV206 )
= $true )
| ( ( aNaturalNumber0 @ SV196 )
= $false )
| ( ( aNaturalNumber0 @ SV173 )
= $false )
| ( ( aNaturalNumber0 @ SV206 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2596]) ).
thf(2645,plain,
! [SV207: $i,SV197: $i,SV174: $i] :
( ( ( ~ ( doDivides0 @ SV174 @ SV197 )
| ~ ( doDivides0 @ SV174 @ SV207 ) )
= $true )
| ( ( doDivides0 @ SV174 @ ( sdtpldt0 @ SV197 @ SV207 ) )
= $true )
| ( ( aNaturalNumber0 @ SV197 )
= $false )
| ( ( aNaturalNumber0 @ SV174 )
= $false )
| ( ( aNaturalNumber0 @ SV207 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2597]) ).
thf(2646,plain,
! [SV208: $i,SV198: $i,SV175: $i] :
( ( ( ~ ( doDivides0 @ SV175 @ SV198 )
| ~ ( doDivides0 @ SV175 @ ( sdtpldt0 @ SV198 @ SV208 ) ) )
= $true )
| ( ( doDivides0 @ SV175 @ SV208 )
= $true )
| ( ( aNaturalNumber0 @ SV198 )
= $false )
| ( ( aNaturalNumber0 @ SV175 )
= $false )
| ( ( aNaturalNumber0 @ SV208 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2598]) ).
thf(2647,plain,
! [SV177: $i,SV200: $i,SV245: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV245 )
| ( ( sdtasdt0 @ SV245 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SV245 @ SV200 ) @ SV177 ) ) )
= $true )
| ( ( SV177 = sz00 )
= $true )
| ( ( doDivides0 @ SV177 @ SV200 )
= $false )
| ( ( aNaturalNumber0 @ SV177 )
= $false )
| ( ( aNaturalNumber0 @ SV200 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2600]) ).
thf(2648,plain,
! [SV242: $i,SV239: $i,SV178: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV239 )
| ~ ( aNaturalNumber0 @ SV242 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV239 = SV242 )
| ~ ( sdtlseqdt0 @ SV239 @ SV242 )
| ( ( sdtasdt0 @ SV239 @ SV178 )
!= ( sdtasdt0 @ SV242 @ SV178 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2605]) ).
thf(2649,plain,
! [SV178: $i] :
( ( ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV178 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SV178 @ SY271 )
!= ( sdtasdt0 @ SV178 @ SY272 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2606]) ).
thf(2650,plain,
! [SV178: $i] :
( ( ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV178 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SY273 ) @ ( sdtasdt0 @ SV178 @ SY274 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2607]) ).
thf(2651,plain,
! [SV234: $i,SV225: $i,SV178: $i] :
( ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV225 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV234 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV225 = SV234 )
| ~ ( sdtlseqdt0 @ SV225 @ SV234 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV225 @ SV178 ) @ ( sdtasdt0 @ SV234 @ SV178 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2608]) ).
thf(2652,plain,
! [SV235: $i,SV226: $i,SV179: $i] :
( ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV226 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV235 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV179 @ SV226 )
!= ( sdtpldt0 @ SV179 @ SV235 ) )
| ( SV226 = SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2609]) ).
thf(2653,plain,
! [SV236: $i,SV227: $i,SV179: $i] :
( ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV227 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV236 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV227 @ SV179 )
!= ( sdtpldt0 @ SV236 @ SV179 ) )
| ( SV227 = SV236 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2610]) ).
thf(2654,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ~ ( ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( ( sdtpldt0 @ SV180 @ SY341 )
!= ( sdtpldt0 @ SV201 @ SY341 ) ) )
| ~ ~ ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) )
| ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) ) )
| ~ ! [SY344: $i] :
( ~ ( aNaturalNumber0 @ SY344 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY344 ) @ ( sdtpldt0 @ SV201 @ SY344 ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2611]) ).
thf(2655,plain,
( ( xm = xp )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2612]) ).
thf(2656,plain,
( ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2613]) ).
thf(2657,plain,
! [SV246: $i] :
( ( ~ ( aNaturalNumber0 @ SV246 )
| ! [SY357: $i] :
( ( xr
!= ( sdtasdt0 @ SV246 @ SY357 ) )
| ~ ( aNaturalNumber0 @ SY357 ) )
| ( SV246 = sz10 )
| ( SV246 = xr ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2617]) ).
thf(2658,plain,
! [SV247: $i] :
( ( ~ ( aNaturalNumber0 @ SV247 )
| ~ ( doDivides0 @ SV247 @ xr )
| ( SV247 = sz10 )
| ( SV247 = xr ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2618]) ).
thf(2659,plain,
( ( xr = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2619]) ).
thf(2660,plain,
( ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2620]) ).
thf(2661,plain,
! [SV181: $i] :
( ( ~ ( ~ ! [SY286: $i,SY287: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY286 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY287
!= ( sdtasdt0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ SY287 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= SY287 ) ) ) )
| ( SY287 = sz00 )
| ( SY287 = sz10 )
| ! [SY288: $i] :
( ( ( sdtasdt0 @ SV181 @ SY286 )
!= ( sdtasdt0 @ SY287 @ SY288 ) )
| ~ ( aNaturalNumber0 @ SY288 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY286 ) @ SY287 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY287 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( ( SY286
!= ( sdtasdt0 @ SY287 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) ) )
| ~ ! [SY289: $i,SY290: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY289 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY290
!= ( sdtasdt0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ SY290 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= SY290 ) ) ) )
| ( SY290 = sz00 )
| ( SY290 = sz10 )
| ! [SY291: $i] :
( ( ( sdtasdt0 @ SV181 @ SY289 )
!= ( sdtasdt0 @ SY290 @ SY291 ) )
| ~ ( aNaturalNumber0 @ SY291 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY289 ) @ SY290 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY290 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ( doDivides0 @ SY290 @ SY289 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2621]) ).
thf(2662,plain,
! [SV181: $i] :
( ( ~ ( ~ ! [SY292: $i,SY293: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY292 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY293
!= ( sdtasdt0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ SY293 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= SY293 ) ) ) )
| ( SY293 = sz00 )
| ( SY293 = sz10 )
| ! [SY294: $i] :
( ( ( sdtasdt0 @ SV181 @ SY292 )
!= ( sdtasdt0 @ SY293 @ SY294 ) )
| ~ ( aNaturalNumber0 @ SY294 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY292 ) @ SY293 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY293 @ SV181 )
| ~ ( ( SY292
!= ( sdtasdt0 @ SY293 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY295 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY296
!= ( sdtasdt0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ SY296 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= SY296 ) ) ) )
| ( SY296 = sz00 )
| ( SY296 = sz10 )
| ! [SY297: $i] :
( ( ( sdtasdt0 @ SV181 @ SY295 )
!= ( sdtasdt0 @ SY296 @ SY297 ) )
| ~ ( aNaturalNumber0 @ SY297 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY295 ) @ SY296 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY296 @ SV181 )
| ( doDivides0 @ SY296 @ SY295 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2622]) ).
thf(2663,plain,
! [SV181: $i] :
( ( ~ ( ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= SY299 ) ) ) )
| ( SY299 = sz00 )
| ( SY299 = sz10 )
| ~ ( doDivides0 @ SY299 @ ( sdtasdt0 @ SV181 @ SY298 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY298 ) @ SY299 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY299 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( ( SY298
!= ( sdtasdt0 @ SY299 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) ) )
| ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= SY301 ) ) ) )
| ( SY301 = sz00 )
| ( SY301 = sz10 )
| ~ ( doDivides0 @ SY301 @ ( sdtasdt0 @ SV181 @ SY300 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY300 ) @ SY301 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY301 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ( doDivides0 @ SY301 @ SY300 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2623]) ).
thf(2664,plain,
! [SV181: $i] :
( ( ~ ( ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= SY303 ) ) ) )
| ( SY303 = sz00 )
| ( SY303 = sz10 )
| ~ ( doDivides0 @ SY303 @ ( sdtasdt0 @ SV181 @ SY302 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY302 ) @ SY303 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY303 @ SV181 )
| ~ ( ( SY302
!= ( sdtasdt0 @ SY303 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) ) )
| ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY305
!= ( sdtasdt0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ SY305 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= SY305 ) ) ) )
| ( SY305 = sz00 )
| ( SY305 = sz10 )
| ~ ( doDivides0 @ SY305 @ ( sdtasdt0 @ SV181 @ SY304 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY305 @ SV181 )
| ( doDivides0 @ SY305 @ SY304 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2624]) ).
thf(2665,plain,
! [SV181: $i] :
( ( ~ ( ~ ! [SY306: $i,SY307: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY306 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( isPrime0 @ SY307 )
| ! [SY308: $i] :
( ( ( sdtasdt0 @ SV181 @ SY306 )
!= ( sdtasdt0 @ SY307 @ SY308 ) )
| ~ ( aNaturalNumber0 @ SY308 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY306 ) @ SY307 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY307 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( ( SY306
!= ( sdtasdt0 @ SY307 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) ) )
| ~ ! [SY309: $i,SY310: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY309 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( isPrime0 @ SY310 )
| ! [SY311: $i] :
( ( ( sdtasdt0 @ SV181 @ SY309 )
!= ( sdtasdt0 @ SY310 @ SY311 ) )
| ~ ( aNaturalNumber0 @ SY311 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY309 ) @ SY310 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY310 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ( doDivides0 @ SY310 @ SY309 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2625]) ).
thf(2666,plain,
! [SV181: $i] :
( ( ~ ( ~ ! [SY312: $i,SY313: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY312 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( isPrime0 @ SY313 )
| ! [SY314: $i] :
( ( ( sdtasdt0 @ SV181 @ SY312 )
!= ( sdtasdt0 @ SY313 @ SY314 ) )
| ~ ( aNaturalNumber0 @ SY314 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY312 ) @ SY313 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY313 @ SV181 )
| ~ ( ( SY312
!= ( sdtasdt0 @ SY313 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) ) )
| ~ ! [SY315: $i,SY316: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY315 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( isPrime0 @ SY316 )
| ! [SY317: $i] :
( ( ( sdtasdt0 @ SV181 @ SY315 )
!= ( sdtasdt0 @ SY316 @ SY317 ) )
| ~ ( aNaturalNumber0 @ SY317 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY315 ) @ SY316 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY316 @ SV181 )
| ( doDivides0 @ SY316 @ SY315 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2626]) ).
thf(2667,plain,
! [SV181: $i] :
( ( ~ ( ~ ! [SY318: $i,SY319: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY318 )
| ~ ( aNaturalNumber0 @ SY319 )
| ~ ( isPrime0 @ SY319 )
| ~ ( doDivides0 @ SY319 @ ( sdtasdt0 @ SV181 @ SY318 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY318 ) @ SY319 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY319 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( ( SY318
!= ( sdtasdt0 @ SY319 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) ) )
| ~ ! [SY320: $i,SY321: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY320 )
| ~ ( aNaturalNumber0 @ SY321 )
| ~ ( isPrime0 @ SY321 )
| ~ ( doDivides0 @ SY321 @ ( sdtasdt0 @ SV181 @ SY320 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY320 ) @ SY321 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY321 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ( doDivides0 @ SY321 @ SY320 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2627]) ).
thf(2668,plain,
! [SV181: $i] :
( ( ~ ( ~ ! [SY322: $i,SY323: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY322 )
| ~ ( aNaturalNumber0 @ SY323 )
| ~ ( isPrime0 @ SY323 )
| ~ ( doDivides0 @ SY323 @ ( sdtasdt0 @ SV181 @ SY322 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY322 ) @ SY323 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY323 @ SV181 )
| ~ ( ( SY322
!= ( sdtasdt0 @ SY323 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ~ ( isPrime0 @ SY325 )
| ~ ( doDivides0 @ SY325 @ ( sdtasdt0 @ SV181 @ SY324 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY324 ) @ SY325 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY325 @ SV181 )
| ( doDivides0 @ SY325 @ SY324 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2628]) ).
thf(2669,plain,
! [SV182: $i,SV243: $i,SV240: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV240 )
| ~ ( aNaturalNumber0 @ SV243 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV182 @ SV240 )
!= ( sdtasdt0 @ SV182 @ SV243 ) )
| ( SV240 = SV243 ) )
= $true )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2629]) ).
thf(2670,plain,
! [SV182: $i,SV244: $i,SV241: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV241 )
| ~ ( aNaturalNumber0 @ SV244 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV241 @ SV182 )
!= ( sdtasdt0 @ SV244 @ SV182 ) )
| ( SV241 = SV244 ) )
= $true )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2630]) ).
thf(2671,plain,
! [SV218: $i,SV228: $i] :
( ( ( ( SV228 != SV218 ) )
= $true )
| ( ( sdtlseqdt0 @ SV218 @ SV228 )
= $true )
| ( ( aNaturalNumber0 @ SV218 )
= $false )
| ( ( aNaturalNumber0 @ SV228 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2631]) ).
thf(2672,plain,
! [SV219: $i,SV229: $i] :
( ( ( sdtlseqdt0 @ SV229 @ SV219 )
= $true )
| ( ( sdtlseqdt0 @ SV219 @ SV229 )
= $true )
| ( ( aNaturalNumber0 @ SV219 )
= $false )
| ( ( aNaturalNumber0 @ SV229 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2632]) ).
thf(2673,plain,
! [SV230: $i,SV222: $i] :
( ( ( ( ( sdtpldt0 @ SV222 @ SV230 )
!= sz00 ) )
= $true )
| ( ( SV222 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV222 )
= $false )
| ( ( aNaturalNumber0 @ SV230 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2633]) ).
thf(2674,plain,
! [SV231: $i,SV223: $i] :
( ( ( ( ( sdtpldt0 @ SV223 @ SV231 )
!= sz00 ) )
= $true )
| ( ( SV231 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV223 )
= $false )
| ( ( aNaturalNumber0 @ SV231 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2634]) ).
thf(2675,plain,
! [SV237: $i,SV232: $i,SV183: $i] :
( ( ( aNaturalNumber0 @ SV183 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV232 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV237 ) )
= $true )
| ( ( ( sdtasdt0 @ SV183 @ ( sdtpldt0 @ SV232 @ SV237 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV183 @ SV232 ) @ ( sdtasdt0 @ SV183 @ SV237 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2635]) ).
thf(2676,plain,
! [SV238: $i,SV233: $i,SV183: $i] :
( ( ( aNaturalNumber0 @ SV183 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV233 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV238 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SV238 ) @ SV183 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV183 ) @ ( sdtasdt0 @ SV238 @ SV183 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2636]) ).
thf(2677,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2637]) ).
thf(2678,plain,
! [SV184: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV184 ) ) )
= $false )
| ( ( SV184 = sz10 )
= $true )
| ( ( SV184 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2641]) ).
thf(2679,plain,
! [SV184: $i] :
( ( ( ~ ( doDivides0 @ ( sK1_W1 @ SV184 ) @ SV184 ) )
= $false )
| ( ( SV184 = sz10 )
= $true )
| ( ( SV184 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2641]) ).
thf(2680,plain,
! [SV204: $i,SV193: $i,SV170: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV170 @ SV193 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV193 @ SV204 ) )
= $true )
| ( ( sdtlseqdt0 @ SV170 @ SV204 )
= $true )
| ( ( aNaturalNumber0 @ SV193 )
= $false )
| ( ( aNaturalNumber0 @ SV170 )
= $false )
| ( ( aNaturalNumber0 @ SV204 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2643]) ).
thf(2681,plain,
! [SV206: $i,SV196: $i,SV173: $i] :
( ( ( ~ ( doDivides0 @ SV173 @ SV196 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV196 @ SV206 ) )
= $true )
| ( ( doDivides0 @ SV173 @ SV206 )
= $true )
| ( ( aNaturalNumber0 @ SV196 )
= $false )
| ( ( aNaturalNumber0 @ SV173 )
= $false )
| ( ( aNaturalNumber0 @ SV206 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2644]) ).
thf(2682,plain,
! [SV207: $i,SV197: $i,SV174: $i] :
( ( ( ~ ( doDivides0 @ SV174 @ SV197 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV174 @ SV207 ) )
= $true )
| ( ( doDivides0 @ SV174 @ ( sdtpldt0 @ SV197 @ SV207 ) )
= $true )
| ( ( aNaturalNumber0 @ SV197 )
= $false )
| ( ( aNaturalNumber0 @ SV174 )
= $false )
| ( ( aNaturalNumber0 @ SV207 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2645]) ).
thf(2683,plain,
! [SV208: $i,SV198: $i,SV175: $i] :
( ( ( ~ ( doDivides0 @ SV175 @ SV198 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV175 @ ( sdtpldt0 @ SV198 @ SV208 ) ) )
= $true )
| ( ( doDivides0 @ SV175 @ SV208 )
= $true )
| ( ( aNaturalNumber0 @ SV198 )
= $false )
| ( ( aNaturalNumber0 @ SV175 )
= $false )
| ( ( aNaturalNumber0 @ SV208 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2646]) ).
thf(2684,plain,
! [SV177: $i,SV200: $i,SV245: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV245 ) )
= $true )
| ( ( ( sdtasdt0 @ SV245 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SV245 @ SV200 ) @ SV177 ) )
= $true )
| ( ( SV177 = sz00 )
= $true )
| ( ( doDivides0 @ SV177 @ SV200 )
= $false )
| ( ( aNaturalNumber0 @ SV177 )
= $false )
| ( ( aNaturalNumber0 @ SV200 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2647]) ).
thf(2685,plain,
! [SV242: $i,SV239: $i,SV178: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV239 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV242 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV239 = SV242 )
| ~ ( sdtlseqdt0 @ SV239 @ SV242 )
| ( ( sdtasdt0 @ SV239 @ SV178 )
!= ( sdtasdt0 @ SV242 @ SV178 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2648]) ).
thf(2686,plain,
! [SV248: $i,SV178: $i] :
( ( ! [SY358: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV248 )
| ~ ( aNaturalNumber0 @ SY358 )
| ( SV178 = sz00 )
| ( SV248 = SY358 )
| ~ ( sdtlseqdt0 @ SV248 @ SY358 )
| ( ( sdtasdt0 @ SV178 @ SV248 )
!= ( sdtasdt0 @ SV178 @ SY358 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2649]) ).
thf(2687,plain,
! [SV249: $i,SV178: $i] :
( ( ! [SY359: $i] :
( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV249 )
| ~ ( aNaturalNumber0 @ SY359 )
| ( SV178 = sz00 )
| ( SV249 = SY359 )
| ~ ( sdtlseqdt0 @ SV249 @ SY359 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SV249 ) @ ( sdtasdt0 @ SV178 @ SY359 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2650]) ).
thf(2688,plain,
! [SV234: $i,SV178: $i,SV225: $i] :
( ( ( aNaturalNumber0 @ SV225 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV234 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV225 = SV234 )
| ~ ( sdtlseqdt0 @ SV225 @ SV234 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV225 @ SV178 ) @ ( sdtasdt0 @ SV234 @ SV178 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2651]) ).
thf(2689,plain,
! [SV235: $i,SV179: $i,SV226: $i] :
( ( ( aNaturalNumber0 @ SV226 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV235 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV179 @ SV226 )
!= ( sdtpldt0 @ SV179 @ SV235 ) )
| ( SV226 = SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2652]) ).
thf(2690,plain,
! [SV236: $i,SV179: $i,SV227: $i] :
( ( ( aNaturalNumber0 @ SV227 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV236 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV227 @ SV179 )
!= ( sdtpldt0 @ SV236 @ SV179 ) )
| ( SV227 = SV236 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2653]) ).
thf(2691,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ~ ( ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( ( sdtpldt0 @ SV180 @ SY341 )
!= ( sdtpldt0 @ SV201 @ SY341 ) ) )
| ~ ~ ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) )
| ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2654]) ).
thf(2692,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ! [SY344: $i] :
( ~ ( aNaturalNumber0 @ SY344 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY344 ) @ ( sdtpldt0 @ SV201 @ SY344 ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2654]) ).
thf(2693,plain,
( ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2656]) ).
thf(2694,plain,
( ( ~ ( sdtlseqdt0 @ xn @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2656]) ).
thf(2695,plain,
! [SV246: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV246 )
| ! [SY357: $i] :
( ( xr
!= ( sdtasdt0 @ SV246 @ SY357 ) )
| ~ ( aNaturalNumber0 @ SY357 ) ) )
= $true )
| ( ( ( SV246 = sz10 )
| ( SV246 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2657]) ).
thf(2696,plain,
! [SV247: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV247 )
| ~ ( doDivides0 @ SV247 @ xr ) )
= $true )
| ( ( ( SV247 = sz10 )
| ( SV247 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2658]) ).
thf(2697,plain,
( ( ~ ( ( xr != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2660]) ).
thf(2698,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2660]) ).
thf(2699,plain,
! [SV181: $i] :
( ( ~ ! [SY286: $i,SY287: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY286 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY287
!= ( sdtasdt0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ SY287 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= SY287 ) ) ) )
| ( SY287 = sz00 )
| ( SY287 = sz10 )
| ! [SY288: $i] :
( ( ( sdtasdt0 @ SV181 @ SY286 )
!= ( sdtasdt0 @ SY287 @ SY288 ) )
| ~ ( aNaturalNumber0 @ SY288 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY286 ) @ SY287 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY287 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( ( SY286
!= ( sdtasdt0 @ SY287 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) ) )
| ~ ! [SY289: $i,SY290: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY289 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY290
!= ( sdtasdt0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ SY290 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= SY290 ) ) ) )
| ( SY290 = sz00 )
| ( SY290 = sz10 )
| ! [SY291: $i] :
( ( ( sdtasdt0 @ SV181 @ SY289 )
!= ( sdtasdt0 @ SY290 @ SY291 ) )
| ~ ( aNaturalNumber0 @ SY291 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY289 ) @ SY290 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY290 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ( doDivides0 @ SY290 @ SY289 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2661]) ).
thf(2700,plain,
! [SV181: $i] :
( ( ~ ! [SY292: $i,SY293: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY292 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY293
!= ( sdtasdt0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ SY293 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= SY293 ) ) ) )
| ( SY293 = sz00 )
| ( SY293 = sz10 )
| ! [SY294: $i] :
( ( ( sdtasdt0 @ SV181 @ SY292 )
!= ( sdtasdt0 @ SY293 @ SY294 ) )
| ~ ( aNaturalNumber0 @ SY294 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY292 ) @ SY293 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY293 @ SV181 )
| ~ ( ( SY292
!= ( sdtasdt0 @ SY293 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY295 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY296
!= ( sdtasdt0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ SY296 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= SY296 ) ) ) )
| ( SY296 = sz00 )
| ( SY296 = sz10 )
| ! [SY297: $i] :
( ( ( sdtasdt0 @ SV181 @ SY295 )
!= ( sdtasdt0 @ SY296 @ SY297 ) )
| ~ ( aNaturalNumber0 @ SY297 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY295 ) @ SY296 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY296 @ SV181 )
| ( doDivides0 @ SY296 @ SY295 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2662]) ).
thf(2701,plain,
! [SV181: $i] :
( ( ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= SY299 ) ) ) )
| ( SY299 = sz00 )
| ( SY299 = sz10 )
| ~ ( doDivides0 @ SY299 @ ( sdtasdt0 @ SV181 @ SY298 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY298 ) @ SY299 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY299 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( ( SY298
!= ( sdtasdt0 @ SY299 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) ) )
| ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= SY301 ) ) ) )
| ( SY301 = sz00 )
| ( SY301 = sz10 )
| ~ ( doDivides0 @ SY301 @ ( sdtasdt0 @ SV181 @ SY300 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY300 ) @ SY301 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY301 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ( doDivides0 @ SY301 @ SY300 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2663]) ).
thf(2702,plain,
! [SV181: $i] :
( ( ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= SY303 ) ) ) )
| ( SY303 = sz00 )
| ( SY303 = sz10 )
| ~ ( doDivides0 @ SY303 @ ( sdtasdt0 @ SV181 @ SY302 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY302 ) @ SY303 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY303 @ SV181 )
| ~ ( ( SY302
!= ( sdtasdt0 @ SY303 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) ) )
| ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY305
!= ( sdtasdt0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ SY305 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= SY305 ) ) ) )
| ( SY305 = sz00 )
| ( SY305 = sz10 )
| ~ ( doDivides0 @ SY305 @ ( sdtasdt0 @ SV181 @ SY304 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY305 @ SV181 )
| ( doDivides0 @ SY305 @ SY304 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2664]) ).
thf(2703,plain,
! [SV181: $i] :
( ( ~ ! [SY306: $i,SY307: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY306 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( isPrime0 @ SY307 )
| ! [SY308: $i] :
( ( ( sdtasdt0 @ SV181 @ SY306 )
!= ( sdtasdt0 @ SY307 @ SY308 ) )
| ~ ( aNaturalNumber0 @ SY308 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY306 ) @ SY307 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY307 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( ( SY306
!= ( sdtasdt0 @ SY307 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) ) )
| ~ ! [SY309: $i,SY310: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY309 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( isPrime0 @ SY310 )
| ! [SY311: $i] :
( ( ( sdtasdt0 @ SV181 @ SY309 )
!= ( sdtasdt0 @ SY310 @ SY311 ) )
| ~ ( aNaturalNumber0 @ SY311 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY309 ) @ SY310 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY310 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ( doDivides0 @ SY310 @ SY309 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2665]) ).
thf(2704,plain,
! [SV181: $i] :
( ( ~ ! [SY312: $i,SY313: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY312 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( isPrime0 @ SY313 )
| ! [SY314: $i] :
( ( ( sdtasdt0 @ SV181 @ SY312 )
!= ( sdtasdt0 @ SY313 @ SY314 ) )
| ~ ( aNaturalNumber0 @ SY314 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY312 ) @ SY313 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY313 @ SV181 )
| ~ ( ( SY312
!= ( sdtasdt0 @ SY313 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) ) )
| ~ ! [SY315: $i,SY316: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY315 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( isPrime0 @ SY316 )
| ! [SY317: $i] :
( ( ( sdtasdt0 @ SV181 @ SY315 )
!= ( sdtasdt0 @ SY316 @ SY317 ) )
| ~ ( aNaturalNumber0 @ SY317 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY315 ) @ SY316 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY316 @ SV181 )
| ( doDivides0 @ SY316 @ SY315 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2666]) ).
thf(2705,plain,
! [SV181: $i] :
( ( ~ ! [SY318: $i,SY319: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY318 )
| ~ ( aNaturalNumber0 @ SY319 )
| ~ ( isPrime0 @ SY319 )
| ~ ( doDivides0 @ SY319 @ ( sdtasdt0 @ SV181 @ SY318 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY318 ) @ SY319 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY319 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( ( SY318
!= ( sdtasdt0 @ SY319 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) ) )
| ~ ! [SY320: $i,SY321: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY320 )
| ~ ( aNaturalNumber0 @ SY321 )
| ~ ( isPrime0 @ SY321 )
| ~ ( doDivides0 @ SY321 @ ( sdtasdt0 @ SV181 @ SY320 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY320 ) @ SY321 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY321 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ( doDivides0 @ SY321 @ SY320 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2667]) ).
thf(2706,plain,
! [SV181: $i] :
( ( ~ ! [SY322: $i,SY323: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY322 )
| ~ ( aNaturalNumber0 @ SY323 )
| ~ ( isPrime0 @ SY323 )
| ~ ( doDivides0 @ SY323 @ ( sdtasdt0 @ SV181 @ SY322 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY322 ) @ SY323 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY323 @ SV181 )
| ~ ( ( SY322
!= ( sdtasdt0 @ SY323 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) ) )
| ~ ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ~ ( isPrime0 @ SY325 )
| ~ ( doDivides0 @ SY325 @ ( sdtasdt0 @ SV181 @ SY324 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY324 ) @ SY325 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY325 @ SV181 )
| ( doDivides0 @ SY325 @ SY324 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2668]) ).
thf(2707,plain,
! [SV182: $i,SV243: $i,SV240: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV240 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV243 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV182 @ SV240 )
!= ( sdtasdt0 @ SV182 @ SV243 ) )
| ( SV240 = SV243 ) )
= $true )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2669]) ).
thf(2708,plain,
! [SV182: $i,SV244: $i,SV241: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV241 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV244 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV241 @ SV182 )
!= ( sdtasdt0 @ SV244 @ SV182 ) )
| ( SV241 = SV244 ) )
= $true )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2670]) ).
thf(2709,plain,
! [SV218: $i,SV228: $i] :
( ( ( SV228 = SV218 )
= $false )
| ( ( sdtlseqdt0 @ SV218 @ SV228 )
= $true )
| ( ( aNaturalNumber0 @ SV218 )
= $false )
| ( ( aNaturalNumber0 @ SV228 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2671]) ).
thf(2710,plain,
! [SV230: $i,SV222: $i] :
( ( ( ( sdtpldt0 @ SV222 @ SV230 )
= sz00 )
= $false )
| ( ( SV222 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV222 )
= $false )
| ( ( aNaturalNumber0 @ SV230 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2673]) ).
thf(2711,plain,
! [SV231: $i,SV223: $i] :
( ( ( ( sdtpldt0 @ SV223 @ SV231 )
= sz00 )
= $false )
| ( ( SV231 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV223 )
= $false )
| ( ( aNaturalNumber0 @ SV231 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2674]) ).
thf(2712,plain,
! [SV237: $i,SV183: $i,SV232: $i] :
( ( ( aNaturalNumber0 @ SV232 )
= $false )
| ( ( aNaturalNumber0 @ SV183 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV237 ) )
= $true )
| ( ( ( sdtasdt0 @ SV183 @ ( sdtpldt0 @ SV232 @ SV237 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV183 @ SV232 ) @ ( sdtasdt0 @ SV183 @ SV237 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2675]) ).
thf(2713,plain,
! [SV238: $i,SV183: $i,SV233: $i] :
( ( ( aNaturalNumber0 @ SV233 )
= $false )
| ( ( aNaturalNumber0 @ SV183 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV238 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SV238 ) @ SV183 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV183 ) @ ( sdtasdt0 @ SV238 @ SV183 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2676]) ).
thf(2714,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2677]) ).
thf(2715,plain,
( ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2677]) ).
thf(2716,plain,
! [SV184: $i] :
( ( ( aNaturalNumber0 @ ( sK1_W1 @ SV184 ) )
= $true )
| ( ( SV184 = sz10 )
= $true )
| ( ( SV184 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2678]) ).
thf(2717,plain,
! [SV184: $i] :
( ( ( doDivides0 @ ( sK1_W1 @ SV184 ) @ SV184 )
= $true )
| ( ( SV184 = sz10 )
= $true )
| ( ( SV184 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2679]) ).
thf(2718,plain,
! [SV204: $i,SV193: $i,SV170: $i] :
( ( ( sdtlseqdt0 @ SV170 @ SV193 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV193 @ SV204 ) )
= $true )
| ( ( sdtlseqdt0 @ SV170 @ SV204 )
= $true )
| ( ( aNaturalNumber0 @ SV193 )
= $false )
| ( ( aNaturalNumber0 @ SV170 )
= $false )
| ( ( aNaturalNumber0 @ SV204 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2680]) ).
thf(2719,plain,
! [SV206: $i,SV196: $i,SV173: $i] :
( ( ( doDivides0 @ SV173 @ SV196 )
= $false )
| ( ( ~ ( doDivides0 @ SV196 @ SV206 ) )
= $true )
| ( ( doDivides0 @ SV173 @ SV206 )
= $true )
| ( ( aNaturalNumber0 @ SV196 )
= $false )
| ( ( aNaturalNumber0 @ SV173 )
= $false )
| ( ( aNaturalNumber0 @ SV206 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2681]) ).
thf(2720,plain,
! [SV207: $i,SV197: $i,SV174: $i] :
( ( ( doDivides0 @ SV174 @ SV197 )
= $false )
| ( ( ~ ( doDivides0 @ SV174 @ SV207 ) )
= $true )
| ( ( doDivides0 @ SV174 @ ( sdtpldt0 @ SV197 @ SV207 ) )
= $true )
| ( ( aNaturalNumber0 @ SV197 )
= $false )
| ( ( aNaturalNumber0 @ SV174 )
= $false )
| ( ( aNaturalNumber0 @ SV207 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2682]) ).
thf(2721,plain,
! [SV208: $i,SV198: $i,SV175: $i] :
( ( ( doDivides0 @ SV175 @ SV198 )
= $false )
| ( ( ~ ( doDivides0 @ SV175 @ ( sdtpldt0 @ SV198 @ SV208 ) ) )
= $true )
| ( ( doDivides0 @ SV175 @ SV208 )
= $true )
| ( ( aNaturalNumber0 @ SV198 )
= $false )
| ( ( aNaturalNumber0 @ SV175 )
= $false )
| ( ( aNaturalNumber0 @ SV208 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2683]) ).
thf(2722,plain,
! [SV177: $i,SV200: $i,SV245: $i] :
( ( ( aNaturalNumber0 @ SV245 )
= $false )
| ( ( ( sdtasdt0 @ SV245 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SV245 @ SV200 ) @ SV177 ) )
= $true )
| ( ( SV177 = sz00 )
= $true )
| ( ( doDivides0 @ SV177 @ SV200 )
= $false )
| ( ( aNaturalNumber0 @ SV177 )
= $false )
| ( ( aNaturalNumber0 @ SV200 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2684]) ).
thf(2723,plain,
! [SV242: $i,SV239: $i,SV178: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV178 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV239 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV242 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV239 = SV242 )
| ~ ( sdtlseqdt0 @ SV239 @ SV242 )
| ( ( sdtasdt0 @ SV239 @ SV178 )
!= ( sdtasdt0 @ SV242 @ SV178 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2685]) ).
thf(2724,plain,
! [SV250: $i,SV248: $i,SV178: $i] :
( ( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV248 )
| ~ ( aNaturalNumber0 @ SV250 )
| ( SV178 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 )
| ( ( sdtasdt0 @ SV178 @ SV248 )
!= ( sdtasdt0 @ SV178 @ SV250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2686]) ).
thf(2725,plain,
! [SV251: $i,SV249: $i,SV178: $i] :
( ( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV249 )
| ~ ( aNaturalNumber0 @ SV251 )
| ( SV178 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SV249 ) @ ( sdtasdt0 @ SV178 @ SV251 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2687]) ).
thf(2726,plain,
! [SV225: $i,SV178: $i,SV234: $i] :
( ( ( aNaturalNumber0 @ SV234 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV225 )
= $false )
| ( ( ( SV178 = sz00 )
| ( SV225 = SV234 )
| ~ ( sdtlseqdt0 @ SV225 @ SV234 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV225 @ SV178 ) @ ( sdtasdt0 @ SV234 @ SV178 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2688]) ).
thf(2727,plain,
! [SV226: $i,SV179: $i,SV235: $i] :
( ( ( aNaturalNumber0 @ SV235 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV226 )
= $false )
| ( ( ( ( sdtpldt0 @ SV179 @ SV226 )
!= ( sdtpldt0 @ SV179 @ SV235 ) )
| ( SV226 = SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2689]) ).
thf(2728,plain,
! [SV227: $i,SV179: $i,SV236: $i] :
( ( ( aNaturalNumber0 @ SV236 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV227 )
= $false )
| ( ( ( ( sdtpldt0 @ SV227 @ SV179 )
!= ( sdtpldt0 @ SV236 @ SV179 ) )
| ( SV227 = SV236 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2690]) ).
thf(2729,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ( ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( ( sdtpldt0 @ SV180 @ SY341 )
!= ( sdtpldt0 @ SV201 @ SY341 ) ) )
| ~ ~ ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) )
| ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2691]) ).
thf(2730,plain,
! [SV201: $i,SV180: $i] :
( ( ( ! [SY344: $i] :
( ~ ( aNaturalNumber0 @ SY344 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY344 ) @ ( sdtpldt0 @ SV201 @ SY344 ) ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2692]) ).
thf(2731,plain,
( ( ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2693]) ).
thf(2732,plain,
( ( sdtlseqdt0 @ xn @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2694]) ).
thf(2733,plain,
! [SV246: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV246 ) )
= $true )
| ( ( ! [SY357: $i] :
( ( xr
!= ( sdtasdt0 @ SV246 @ SY357 ) )
| ~ ( aNaturalNumber0 @ SY357 ) ) )
= $true )
| ( ( ( SV246 = sz10 )
| ( SV246 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2695]) ).
thf(2734,plain,
! [SV247: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV247 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV247 @ xr ) )
= $true )
| ( ( ( SV247 = sz10 )
| ( SV247 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2696]) ).
thf(2735,plain,
( ( ( xr != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2697]) ).
thf(2736,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2698]) ).
thf(2737,plain,
! [SV181: $i] :
( ( ~ ! [SY286: $i,SY287: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY286 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY287
!= ( sdtasdt0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ SY287 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= SY287 ) ) ) )
| ( SY287 = sz00 )
| ( SY287 = sz10 )
| ! [SY288: $i] :
( ( ( sdtasdt0 @ SV181 @ SY286 )
!= ( sdtasdt0 @ SY287 @ SY288 ) )
| ~ ( aNaturalNumber0 @ SY288 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY286 ) @ SY287 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY287 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( ( SY286
!= ( sdtasdt0 @ SY287 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2699]) ).
thf(2738,plain,
! [SV181: $i] :
( ( ~ ! [SY289: $i,SY290: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY289 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY290
!= ( sdtasdt0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ SY290 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= SY290 ) ) ) )
| ( SY290 = sz00 )
| ( SY290 = sz10 )
| ! [SY291: $i] :
( ( ( sdtasdt0 @ SV181 @ SY289 )
!= ( sdtasdt0 @ SY290 @ SY291 ) )
| ~ ( aNaturalNumber0 @ SY291 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY289 ) @ SY290 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY290 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ( doDivides0 @ SY290 @ SY289 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2699]) ).
thf(2739,plain,
! [SV181: $i] :
( ( ~ ! [SY292: $i,SY293: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY292 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY293
!= ( sdtasdt0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ SY293 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= SY293 ) ) ) )
| ( SY293 = sz00 )
| ( SY293 = sz10 )
| ! [SY294: $i] :
( ( ( sdtasdt0 @ SV181 @ SY292 )
!= ( sdtasdt0 @ SY293 @ SY294 ) )
| ~ ( aNaturalNumber0 @ SY294 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY292 ) @ SY293 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY293 @ SV181 )
| ~ ( ( SY292
!= ( sdtasdt0 @ SY293 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2700]) ).
thf(2740,plain,
! [SV181: $i] :
( ( ~ ! [SY295: $i,SY296: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY295 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY296
!= ( sdtasdt0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ SY296 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= SY296 ) ) ) )
| ( SY296 = sz00 )
| ( SY296 = sz10 )
| ! [SY297: $i] :
( ( ( sdtasdt0 @ SV181 @ SY295 )
!= ( sdtasdt0 @ SY296 @ SY297 ) )
| ~ ( aNaturalNumber0 @ SY297 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY295 ) @ SY296 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY296 @ SV181 )
| ( doDivides0 @ SY296 @ SY295 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2700]) ).
thf(2741,plain,
! [SV181: $i] :
( ( ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= SY299 ) ) ) )
| ( SY299 = sz00 )
| ( SY299 = sz10 )
| ~ ( doDivides0 @ SY299 @ ( sdtasdt0 @ SV181 @ SY298 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY298 ) @ SY299 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY299 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( ( SY298
!= ( sdtasdt0 @ SY299 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2701]) ).
thf(2742,plain,
! [SV181: $i] :
( ( ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= SY301 ) ) ) )
| ( SY301 = sz00 )
| ( SY301 = sz10 )
| ~ ( doDivides0 @ SY301 @ ( sdtasdt0 @ SV181 @ SY300 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY300 ) @ SY301 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY301 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ( doDivides0 @ SY301 @ SY300 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2701]) ).
thf(2743,plain,
! [SV181: $i] :
( ( ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= SY303 ) ) ) )
| ( SY303 = sz00 )
| ( SY303 = sz10 )
| ~ ( doDivides0 @ SY303 @ ( sdtasdt0 @ SV181 @ SY302 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY302 ) @ SY303 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY303 @ SV181 )
| ~ ( ( SY302
!= ( sdtasdt0 @ SY303 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2702]) ).
thf(2744,plain,
! [SV181: $i] :
( ( ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY305
!= ( sdtasdt0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ SY305 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= SY305 ) ) ) )
| ( SY305 = sz00 )
| ( SY305 = sz10 )
| ~ ( doDivides0 @ SY305 @ ( sdtasdt0 @ SV181 @ SY304 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY305 @ SV181 )
| ( doDivides0 @ SY305 @ SY304 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2702]) ).
thf(2745,plain,
! [SV181: $i] :
( ( ~ ! [SY306: $i,SY307: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY306 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( isPrime0 @ SY307 )
| ! [SY308: $i] :
( ( ( sdtasdt0 @ SV181 @ SY306 )
!= ( sdtasdt0 @ SY307 @ SY308 ) )
| ~ ( aNaturalNumber0 @ SY308 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY306 ) @ SY307 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY307 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( ( SY306
!= ( sdtasdt0 @ SY307 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2703]) ).
thf(2746,plain,
! [SV181: $i] :
( ( ~ ! [SY309: $i,SY310: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY309 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( isPrime0 @ SY310 )
| ! [SY311: $i] :
( ( ( sdtasdt0 @ SV181 @ SY309 )
!= ( sdtasdt0 @ SY310 @ SY311 ) )
| ~ ( aNaturalNumber0 @ SY311 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY309 ) @ SY310 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY310 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ( doDivides0 @ SY310 @ SY309 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2703]) ).
thf(2747,plain,
! [SV181: $i] :
( ( ~ ! [SY312: $i,SY313: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY312 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( isPrime0 @ SY313 )
| ! [SY314: $i] :
( ( ( sdtasdt0 @ SV181 @ SY312 )
!= ( sdtasdt0 @ SY313 @ SY314 ) )
| ~ ( aNaturalNumber0 @ SY314 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY312 ) @ SY313 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY313 @ SV181 )
| ~ ( ( SY312
!= ( sdtasdt0 @ SY313 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2704]) ).
thf(2748,plain,
! [SV181: $i] :
( ( ~ ! [SY315: $i,SY316: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY315 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( isPrime0 @ SY316 )
| ! [SY317: $i] :
( ( ( sdtasdt0 @ SV181 @ SY315 )
!= ( sdtasdt0 @ SY316 @ SY317 ) )
| ~ ( aNaturalNumber0 @ SY317 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY315 ) @ SY316 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY316 @ SV181 )
| ( doDivides0 @ SY316 @ SY315 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2704]) ).
thf(2749,plain,
! [SV181: $i] :
( ( ~ ! [SY318: $i,SY319: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY318 )
| ~ ( aNaturalNumber0 @ SY319 )
| ~ ( isPrime0 @ SY319 )
| ~ ( doDivides0 @ SY319 @ ( sdtasdt0 @ SV181 @ SY318 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY318 ) @ SY319 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY319 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( ( SY318
!= ( sdtasdt0 @ SY319 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2705]) ).
thf(2750,plain,
! [SV181: $i] :
( ( ~ ! [SY320: $i,SY321: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY320 )
| ~ ( aNaturalNumber0 @ SY321 )
| ~ ( isPrime0 @ SY321 )
| ~ ( doDivides0 @ SY321 @ ( sdtasdt0 @ SV181 @ SY320 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY320 ) @ SY321 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY321 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ( doDivides0 @ SY321 @ SY320 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2705]) ).
thf(2751,plain,
! [SV181: $i] :
( ( ~ ! [SY322: $i,SY323: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY322 )
| ~ ( aNaturalNumber0 @ SY323 )
| ~ ( isPrime0 @ SY323 )
| ~ ( doDivides0 @ SY323 @ ( sdtasdt0 @ SV181 @ SY322 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY322 ) @ SY323 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY323 @ SV181 )
| ~ ( ( SY322
!= ( sdtasdt0 @ SY323 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2706]) ).
thf(2752,plain,
! [SV181: $i] :
( ( ~ ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ~ ( isPrime0 @ SY325 )
| ~ ( doDivides0 @ SY325 @ ( sdtasdt0 @ SV181 @ SY324 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY324 ) @ SY325 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY325 @ SV181 )
| ( doDivides0 @ SY325 @ SY324 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2706]) ).
thf(2753,plain,
! [SV182: $i,SV243: $i,SV240: $i] :
( ( ( aNaturalNumber0 @ SV240 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV243 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV182 @ SV240 )
!= ( sdtasdt0 @ SV182 @ SV243 ) )
| ( SV240 = SV243 ) )
= $true )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2707]) ).
thf(2754,plain,
! [SV182: $i,SV244: $i,SV241: $i] :
( ( ( aNaturalNumber0 @ SV241 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV244 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV241 @ SV182 )
!= ( sdtasdt0 @ SV244 @ SV182 ) )
| ( SV241 = SV244 ) )
= $true )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2708]) ).
thf(2755,plain,
! [SV232: $i,SV183: $i,SV237: $i] :
( ( ( aNaturalNumber0 @ SV237 )
= $false )
| ( ( aNaturalNumber0 @ SV183 )
= $false )
| ( ( aNaturalNumber0 @ SV232 )
= $false )
| ( ( ( sdtasdt0 @ SV183 @ ( sdtpldt0 @ SV232 @ SV237 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV183 @ SV232 ) @ ( sdtasdt0 @ SV183 @ SV237 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2712]) ).
thf(2756,plain,
! [SV233: $i,SV183: $i,SV238: $i] :
( ( ( aNaturalNumber0 @ SV238 )
= $false )
| ( ( aNaturalNumber0 @ SV183 )
= $false )
| ( ( aNaturalNumber0 @ SV233 )
= $false )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SV238 ) @ SV183 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV183 ) @ ( sdtasdt0 @ SV238 @ SV183 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2713]) ).
thf(2757,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2714]) ).
thf(2758,plain,
( ( ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2715]) ).
thf(2759,plain,
! [SV170: $i,SV204: $i,SV193: $i] :
( ( ( sdtlseqdt0 @ SV193 @ SV204 )
= $false )
| ( ( sdtlseqdt0 @ SV170 @ SV193 )
= $false )
| ( ( sdtlseqdt0 @ SV170 @ SV204 )
= $true )
| ( ( aNaturalNumber0 @ SV193 )
= $false )
| ( ( aNaturalNumber0 @ SV170 )
= $false )
| ( ( aNaturalNumber0 @ SV204 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2718]) ).
thf(2760,plain,
! [SV173: $i,SV206: $i,SV196: $i] :
( ( ( doDivides0 @ SV196 @ SV206 )
= $false )
| ( ( doDivides0 @ SV173 @ SV196 )
= $false )
| ( ( doDivides0 @ SV173 @ SV206 )
= $true )
| ( ( aNaturalNumber0 @ SV196 )
= $false )
| ( ( aNaturalNumber0 @ SV173 )
= $false )
| ( ( aNaturalNumber0 @ SV206 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2719]) ).
thf(2761,plain,
! [SV197: $i,SV207: $i,SV174: $i] :
( ( ( doDivides0 @ SV174 @ SV207 )
= $false )
| ( ( doDivides0 @ SV174 @ SV197 )
= $false )
| ( ( doDivides0 @ SV174 @ ( sdtpldt0 @ SV197 @ SV207 ) )
= $true )
| ( ( aNaturalNumber0 @ SV197 )
= $false )
| ( ( aNaturalNumber0 @ SV174 )
= $false )
| ( ( aNaturalNumber0 @ SV207 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2720]) ).
thf(2762,plain,
! [SV208: $i,SV198: $i,SV175: $i] :
( ( ( doDivides0 @ SV175 @ ( sdtpldt0 @ SV198 @ SV208 ) )
= $false )
| ( ( doDivides0 @ SV175 @ SV198 )
= $false )
| ( ( doDivides0 @ SV175 @ SV208 )
= $true )
| ( ( aNaturalNumber0 @ SV198 )
= $false )
| ( ( aNaturalNumber0 @ SV175 )
= $false )
| ( ( aNaturalNumber0 @ SV208 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2721]) ).
thf(2763,plain,
! [SV242: $i,SV239: $i,SV178: $i] :
( ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV239 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV242 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV239 = SV242 )
| ~ ( sdtlseqdt0 @ SV239 @ SV242 )
| ( ( sdtasdt0 @ SV239 @ SV178 )
!= ( sdtasdt0 @ SV242 @ SV178 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2723]) ).
thf(2764,plain,
! [SV250: $i,SV248: $i,SV178: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV248 )
| ~ ( aNaturalNumber0 @ SV250 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 )
| ( ( sdtasdt0 @ SV178 @ SV248 )
!= ( sdtasdt0 @ SV178 @ SV250 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2724]) ).
thf(2765,plain,
! [SV251: $i,SV249: $i,SV178: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV249 )
| ~ ( aNaturalNumber0 @ SV251 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SV249 ) @ ( sdtasdt0 @ SV178 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2725]) ).
thf(2766,plain,
! [SV234: $i,SV225: $i,SV178: $i] :
( ( ( ( SV178 = sz00 )
| ( SV225 = SV234 )
| ~ ( sdtlseqdt0 @ SV225 @ SV234 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV225 @ SV178 ) @ ( sdtasdt0 @ SV234 @ SV178 ) )
= $true )
| ( ( aNaturalNumber0 @ SV225 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV234 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2726]) ).
thf(2767,plain,
! [SV235: $i,SV226: $i,SV179: $i] :
( ( ( ( ( sdtpldt0 @ SV179 @ SV226 )
!= ( sdtpldt0 @ SV179 @ SV235 ) ) )
= $true )
| ( ( SV226 = SV235 )
= $true )
| ( ( aNaturalNumber0 @ SV226 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV235 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2727]) ).
thf(2768,plain,
! [SV236: $i,SV179: $i,SV227: $i] :
( ( ( ( ( sdtpldt0 @ SV227 @ SV179 )
!= ( sdtpldt0 @ SV236 @ SV179 ) ) )
= $true )
| ( ( SV227 = SV236 )
= $true )
| ( ( aNaturalNumber0 @ SV227 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV236 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2728]) ).
thf(2769,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( ( sdtpldt0 @ SV180 @ SY341 )
!= ( sdtpldt0 @ SV201 @ SY341 ) ) )
| ~ ~ ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) )
| ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2729]) ).
thf(2770,plain,
! [SV201: $i,SV180: $i,SV252: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV252 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SV252 ) @ ( sdtpldt0 @ SV201 @ SV252 ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2730]) ).
thf(2771,plain,
( ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2731]) ).
thf(2772,plain,
! [SV246: $i] :
( ( ( aNaturalNumber0 @ SV246 )
= $false )
| ( ( ! [SY357: $i] :
( ( xr
!= ( sdtasdt0 @ SV246 @ SY357 ) )
| ~ ( aNaturalNumber0 @ SY357 ) ) )
= $true )
| ( ( ( SV246 = sz10 )
| ( SV246 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2733]) ).
thf(2773,plain,
! [SV247: $i] :
( ( ( aNaturalNumber0 @ SV247 )
= $false )
| ( ( ~ ( doDivides0 @ SV247 @ xr ) )
= $true )
| ( ( ( SV247 = sz10 )
| ( SV247 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2734]) ).
thf(2774,plain,
( ( xr = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2735]) ).
thf(2775,plain,
( ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2736]) ).
thf(2776,plain,
! [SV181: $i] :
( ( ! [SY286: $i,SY287: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY286 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY287
!= ( sdtasdt0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY287 @ SY286 @ SV181 ) @ SY287 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY287 @ SY286 @ SV181 )
!= SY287 ) ) ) )
| ( SY287 = sz00 )
| ( SY287 = sz10 )
| ! [SY288: $i] :
( ( ( sdtasdt0 @ SV181 @ SY286 )
!= ( sdtasdt0 @ SY287 @ SY288 ) )
| ~ ( aNaturalNumber0 @ SY288 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY286 ) @ SY287 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY287 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( ( SY286
!= ( sdtasdt0 @ SY287 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY287 @ SY286 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2737]) ).
thf(2777,plain,
! [SV181: $i] :
( ( ! [SY289: $i,SY290: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY289 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY290
!= ( sdtasdt0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY290 @ SY289 @ SV181 ) @ SY290 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY290 @ SY289 @ SV181 )
!= SY290 ) ) ) )
| ( SY290 = sz00 )
| ( SY290 = sz10 )
| ! [SY291: $i] :
( ( ( sdtasdt0 @ SV181 @ SY289 )
!= ( sdtasdt0 @ SY290 @ SY291 ) )
| ~ ( aNaturalNumber0 @ SY291 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY289 ) @ SY290 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY290 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY290 @ SY289 @ SV181 ) ) )
| ( doDivides0 @ SY290 @ SY289 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2738]) ).
thf(2778,plain,
! [SV181: $i] :
( ( ! [SY292: $i,SY293: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY292 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY293
!= ( sdtasdt0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY293 @ SY292 @ SV181 ) @ SY293 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY293 @ SY292 @ SV181 )
!= SY293 ) ) ) )
| ( SY293 = sz00 )
| ( SY293 = sz10 )
| ! [SY294: $i] :
( ( ( sdtasdt0 @ SV181 @ SY292 )
!= ( sdtasdt0 @ SY293 @ SY294 ) )
| ~ ( aNaturalNumber0 @ SY294 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY292 ) @ SY293 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY293 @ SV181 )
| ~ ( ( SY292
!= ( sdtasdt0 @ SY293 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY293 @ SY292 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2739]) ).
thf(2779,plain,
! [SV181: $i] :
( ( ! [SY295: $i,SY296: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY295 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY296
!= ( sdtasdt0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY296 @ SY295 @ SV181 ) @ SY296 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY296 @ SY295 @ SV181 )
!= SY296 ) ) ) )
| ( SY296 = sz00 )
| ( SY296 = sz10 )
| ! [SY297: $i] :
( ( ( sdtasdt0 @ SV181 @ SY295 )
!= ( sdtasdt0 @ SY296 @ SY297 ) )
| ~ ( aNaturalNumber0 @ SY297 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY295 ) @ SY296 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY296 @ SV181 )
| ( doDivides0 @ SY296 @ SY295 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2740]) ).
thf(2780,plain,
! [SV181: $i] :
( ( ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY299 @ SY298 @ SV181 )
!= SY299 ) ) ) )
| ( SY299 = sz00 )
| ( SY299 = sz10 )
| ~ ( doDivides0 @ SY299 @ ( sdtasdt0 @ SV181 @ SY298 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY298 ) @ SY299 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY299 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( ( SY298
!= ( sdtasdt0 @ SY299 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY299 @ SY298 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2741]) ).
thf(2781,plain,
! [SV181: $i] :
( ( ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY301 @ SY300 @ SV181 )
!= SY301 ) ) ) )
| ( SY301 = sz00 )
| ( SY301 = sz10 )
| ~ ( doDivides0 @ SY301 @ ( sdtasdt0 @ SV181 @ SY300 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY300 ) @ SY301 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY301 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ( doDivides0 @ SY301 @ SY300 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2742]) ).
thf(2782,plain,
! [SV181: $i] :
( ( ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY303 @ SY302 @ SV181 )
!= SY303 ) ) ) )
| ( SY303 = sz00 )
| ( SY303 = sz10 )
| ~ ( doDivides0 @ SY303 @ ( sdtasdt0 @ SV181 @ SY302 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY302 ) @ SY303 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY303 @ SV181 )
| ~ ( ( SY302
!= ( sdtasdt0 @ SY303 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY303 @ SY302 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2743]) ).
thf(2783,plain,
! [SV181: $i] :
( ( ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY305
!= ( sdtasdt0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY305 @ SY304 @ SV181 ) @ SY305 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY305 @ SY304 @ SV181 )
!= SY305 ) ) ) )
| ( SY305 = sz00 )
| ( SY305 = sz10 )
| ~ ( doDivides0 @ SY305 @ ( sdtasdt0 @ SV181 @ SY304 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY305 @ SV181 )
| ( doDivides0 @ SY305 @ SY304 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2744]) ).
thf(2784,plain,
! [SV181: $i] :
( ( ! [SY306: $i,SY307: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY306 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( isPrime0 @ SY307 )
| ! [SY308: $i] :
( ( ( sdtasdt0 @ SV181 @ SY306 )
!= ( sdtasdt0 @ SY307 @ SY308 ) )
| ~ ( aNaturalNumber0 @ SY308 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY306 ) @ SY307 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY307 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( ( SY306
!= ( sdtasdt0 @ SY307 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY307 @ SY306 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2745]) ).
thf(2785,plain,
! [SV181: $i] :
( ( ! [SY309: $i,SY310: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY309 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( isPrime0 @ SY310 )
| ! [SY311: $i] :
( ( ( sdtasdt0 @ SV181 @ SY309 )
!= ( sdtasdt0 @ SY310 @ SY311 ) )
| ~ ( aNaturalNumber0 @ SY311 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY309 ) @ SY310 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY310 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY310 @ SY309 @ SV181 ) ) )
| ( doDivides0 @ SY310 @ SY309 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2746]) ).
thf(2786,plain,
! [SV181: $i] :
( ( ! [SY312: $i,SY313: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY312 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( isPrime0 @ SY313 )
| ! [SY314: $i] :
( ( ( sdtasdt0 @ SV181 @ SY312 )
!= ( sdtasdt0 @ SY313 @ SY314 ) )
| ~ ( aNaturalNumber0 @ SY314 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY312 ) @ SY313 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY313 @ SV181 )
| ~ ( ( SY312
!= ( sdtasdt0 @ SY313 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY313 @ SY312 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2747]) ).
thf(2787,plain,
! [SV181: $i] :
( ( ! [SY315: $i,SY316: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY315 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( isPrime0 @ SY316 )
| ! [SY317: $i] :
( ( ( sdtasdt0 @ SV181 @ SY315 )
!= ( sdtasdt0 @ SY316 @ SY317 ) )
| ~ ( aNaturalNumber0 @ SY317 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY315 ) @ SY316 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY316 @ SV181 )
| ( doDivides0 @ SY316 @ SY315 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2748]) ).
thf(2788,plain,
! [SV181: $i] :
( ( ! [SY318: $i,SY319: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY318 )
| ~ ( aNaturalNumber0 @ SY319 )
| ~ ( isPrime0 @ SY319 )
| ~ ( doDivides0 @ SY319 @ ( sdtasdt0 @ SV181 @ SY318 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY318 ) @ SY319 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY319 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( ( SY318
!= ( sdtasdt0 @ SY319 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY319 @ SY318 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2749]) ).
thf(2789,plain,
! [SV181: $i] :
( ( ! [SY320: $i,SY321: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY320 )
| ~ ( aNaturalNumber0 @ SY321 )
| ~ ( isPrime0 @ SY321 )
| ~ ( doDivides0 @ SY321 @ ( sdtasdt0 @ SV181 @ SY320 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY320 ) @ SY321 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY321 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ( doDivides0 @ SY321 @ SY320 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2750]) ).
thf(2790,plain,
! [SV181: $i] :
( ( ! [SY322: $i,SY323: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY322 )
| ~ ( aNaturalNumber0 @ SY323 )
| ~ ( isPrime0 @ SY323 )
| ~ ( doDivides0 @ SY323 @ ( sdtasdt0 @ SV181 @ SY322 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY322 ) @ SY323 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY323 @ SV181 )
| ~ ( ( SY322
!= ( sdtasdt0 @ SY323 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY323 @ SY322 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2751]) ).
thf(2791,plain,
! [SV181: $i] :
( ( ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ~ ( isPrime0 @ SY325 )
| ~ ( doDivides0 @ SY325 @ ( sdtasdt0 @ SV181 @ SY324 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY324 ) @ SY325 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY325 @ SV181 )
| ( doDivides0 @ SY325 @ SY324 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2752]) ).
thf(2792,plain,
! [SV182: $i,SV240: $i,SV243: $i] :
( ( ( aNaturalNumber0 @ SV243 )
= $false )
| ( ( aNaturalNumber0 @ SV240 )
= $false )
| ( ( ( ( sdtasdt0 @ SV182 @ SV240 )
!= ( sdtasdt0 @ SV182 @ SV243 ) )
| ( SV240 = SV243 ) )
= $true )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2753]) ).
thf(2793,plain,
! [SV182: $i,SV241: $i,SV244: $i] :
( ( ( aNaturalNumber0 @ SV244 )
= $false )
| ( ( aNaturalNumber0 @ SV241 )
= $false )
| ( ( ( ( sdtasdt0 @ SV241 @ SV182 )
!= ( sdtasdt0 @ SV244 @ SV182 ) )
| ( SV241 = SV244 ) )
= $true )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2754]) ).
thf(2794,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2757]) ).
thf(2795,plain,
( ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2758]) ).
thf(2796,plain,
! [SV242: $i,SV178: $i,SV239: $i] :
( ( ( aNaturalNumber0 @ SV239 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV242 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV239 = SV242 )
| ~ ( sdtlseqdt0 @ SV239 @ SV242 )
| ( ( sdtasdt0 @ SV239 @ SV178 )
!= ( sdtasdt0 @ SV242 @ SV178 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2763]) ).
thf(2797,plain,
! [SV250: $i,SV248: $i,SV178: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV248 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV250 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 )
| ( ( sdtasdt0 @ SV178 @ SV248 )
!= ( sdtasdt0 @ SV178 @ SV250 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2764]) ).
thf(2798,plain,
! [SV251: $i,SV249: $i,SV178: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV178 )
| ~ ( aNaturalNumber0 @ SV249 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV251 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SV249 ) @ ( sdtasdt0 @ SV178 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2765]) ).
thf(2799,plain,
! [SV234: $i,SV225: $i,SV178: $i] :
( ( ( ( SV178 = sz00 )
| ( SV225 = SV234 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV225 @ SV234 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV225 @ SV178 ) @ ( sdtasdt0 @ SV234 @ SV178 ) )
= $true )
| ( ( aNaturalNumber0 @ SV225 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV234 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2766]) ).
thf(2800,plain,
! [SV235: $i,SV226: $i,SV179: $i] :
( ( ( ( sdtpldt0 @ SV179 @ SV226 )
= ( sdtpldt0 @ SV179 @ SV235 ) )
= $false )
| ( ( SV226 = SV235 )
= $true )
| ( ( aNaturalNumber0 @ SV226 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV235 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2767]) ).
thf(2801,plain,
! [SV236: $i,SV179: $i,SV227: $i] :
( ( ( ( sdtpldt0 @ SV227 @ SV179 )
= ( sdtpldt0 @ SV236 @ SV179 ) )
= $false )
| ( ( SV227 = SV236 )
= $true )
| ( ( aNaturalNumber0 @ SV227 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV236 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2768]) ).
thf(2802,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( ( sdtpldt0 @ SV180 @ SY341 )
!= ( sdtpldt0 @ SV201 @ SY341 ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2769]) ).
thf(2803,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ~ ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) )
| ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2769]) ).
thf(2804,plain,
! [SV201: $i,SV180: $i,SV252: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV252 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SV252 ) @ ( sdtpldt0 @ SV201 @ SV252 ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2770]) ).
thf(2805,plain,
( ( ~ ( ( xn != xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2771]) ).
thf(2806,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2771]) ).
thf(2807,plain,
! [SV253: $i,SV246: $i] :
( ( ( ( xr
!= ( sdtasdt0 @ SV246 @ SV253 ) )
| ~ ( aNaturalNumber0 @ SV253 ) )
= $true )
| ( ( aNaturalNumber0 @ SV246 )
= $false )
| ( ( ( SV246 = sz10 )
| ( SV246 = xr ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2772]) ).
thf(2808,plain,
! [SV247: $i] :
( ( ( doDivides0 @ SV247 @ xr )
= $false )
| ( ( aNaturalNumber0 @ SV247 )
= $false )
| ( ( ( SV247 = sz10 )
| ( SV247 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2773]) ).
thf(2809,plain,
( ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2775]) ).
thf(2810,plain,
( ( ~ ( doDivides0 @ xr @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2775]) ).
thf(2811,plain,
! [SV254: $i,SV181: $i] :
( ( ! [SY360: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV254 )
| ~ ( aNaturalNumber0 @ SY360 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY360
!= ( sdtasdt0 @ ( sK39_W3 @ SY360 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SY360 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY360 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY360 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY360 @ SV254 @ SV181 ) @ SY360 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY360 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY360 @ SV254 @ SV181 )
!= SY360 ) ) ) )
| ( SY360 = sz00 )
| ( SY360 = sz10 )
| ! [SY361: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SY360 @ SY361 ) )
| ~ ( aNaturalNumber0 @ SY361 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SY360 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY360 @ ( sK38_W3 @ SY360 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY360 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SY360 @ ( sK37_W3 @ SY360 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY360 @ SV254 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2776]) ).
thf(2812,plain,
! [SV255: $i,SV181: $i] :
( ( ! [SY362: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV255 )
| ~ ( aNaturalNumber0 @ SY362 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY362
!= ( sdtasdt0 @ ( sK35_W3 @ SY362 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SY362 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY362 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY362 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY362 @ SV255 @ SV181 ) @ SY362 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY362 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY362 @ SV255 @ SV181 )
!= SY362 ) ) ) )
| ( SY362 = sz00 )
| ( SY362 = sz10 )
| ! [SY363: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SY362 @ SY363 ) )
| ~ ( aNaturalNumber0 @ SY363 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SY362 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY362 @ ( sK34_W3 @ SY362 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY362 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SY362 @ SV255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2777]) ).
thf(2813,plain,
! [SV256: $i,SV181: $i] :
( ( ! [SY364: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV256 )
| ~ ( aNaturalNumber0 @ SY364 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY364
!= ( sdtasdt0 @ ( sK32_W3 @ SY364 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SY364 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY364 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY364 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY364 @ SV256 @ SV181 ) @ SY364 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY364 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY364 @ SV256 @ SV181 )
!= SY364 ) ) ) )
| ( SY364 = sz00 )
| ( SY364 = sz10 )
| ! [SY365: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SY364 @ SY365 ) )
| ~ ( aNaturalNumber0 @ SY365 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SY364 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY364 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SY364 @ ( sK31_W3 @ SY364 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY364 @ SV256 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2778]) ).
thf(2814,plain,
! [SV257: $i,SV181: $i] :
( ( ! [SY366: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV257 )
| ~ ( aNaturalNumber0 @ SY366 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY366
!= ( sdtasdt0 @ ( sK29_W3 @ SY366 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SY366 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY366 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY366 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY366 @ SV257 @ SV181 ) @ SY366 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY366 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY366 @ SV257 @ SV181 )
!= SY366 ) ) ) )
| ( SY366 = sz00 )
| ( SY366 = sz10 )
| ! [SY367: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SY366 @ SY367 ) )
| ~ ( aNaturalNumber0 @ SY367 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SY366 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY366 @ SV181 )
| ( doDivides0 @ SY366 @ SV257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2779]) ).
thf(2815,plain,
! [SV258: $i,SV181: $i] :
( ( ! [SY368: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV258 )
| ~ ( aNaturalNumber0 @ SY368 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY368
!= ( sdtasdt0 @ ( sK27_W3 @ SY368 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SY368 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY368 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY368 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY368 @ SV258 @ SV181 ) @ SY368 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY368 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY368 @ SV258 @ SV181 )
!= SY368 ) ) ) )
| ( SY368 = sz00 )
| ( SY368 = sz10 )
| ~ ( doDivides0 @ SY368 @ ( sdtasdt0 @ SV181 @ SV258 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SY368 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY368 @ ( sK26_W3 @ SY368 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY368 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SY368 @ ( sK25_W3 @ SY368 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY368 @ SV258 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2780]) ).
thf(2816,plain,
! [SV259: $i,SV181: $i] :
( ( ! [SY369: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV259 )
| ~ ( aNaturalNumber0 @ SY369 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY369
!= ( sdtasdt0 @ ( sK23_W3 @ SY369 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SY369 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY369 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY369 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY369 @ SV259 @ SV181 ) @ SY369 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY369 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY369 @ SV259 @ SV181 )
!= SY369 ) ) ) )
| ( SY369 = sz00 )
| ( SY369 = sz10 )
| ~ ( doDivides0 @ SY369 @ ( sdtasdt0 @ SV181 @ SV259 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SY369 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY369 @ ( sK22_W3 @ SY369 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY369 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SY369 @ SV259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2781]) ).
thf(2817,plain,
! [SV260: $i,SV181: $i] :
( ( ! [SY370: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV260 )
| ~ ( aNaturalNumber0 @ SY370 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY370
!= ( sdtasdt0 @ ( sK20_W3 @ SY370 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SY370 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY370 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY370 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY370 @ SV260 @ SV181 ) @ SY370 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY370 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY370 @ SV260 @ SV181 )
!= SY370 ) ) ) )
| ( SY370 = sz00 )
| ( SY370 = sz10 )
| ~ ( doDivides0 @ SY370 @ ( sdtasdt0 @ SV181 @ SV260 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SY370 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY370 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SY370 @ ( sK19_W3 @ SY370 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY370 @ SV260 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2782]) ).
thf(2818,plain,
! [SV261: $i,SV181: $i] :
( ( ! [SY371: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV261 )
| ~ ( aNaturalNumber0 @ SY371 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY371
!= ( sdtasdt0 @ ( sK17_W3 @ SY371 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SY371 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY371 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY371 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY371 @ SV261 @ SV181 ) @ SY371 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY371 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY371 @ SV261 @ SV181 )
!= SY371 ) ) ) )
| ( SY371 = sz00 )
| ( SY371 = sz10 )
| ~ ( doDivides0 @ SY371 @ ( sdtasdt0 @ SV181 @ SV261 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SY371 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY371 @ SV181 )
| ( doDivides0 @ SY371 @ SV261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2783]) ).
thf(2819,plain,
! [SV262: $i,SV181: $i] :
( ( ! [SY372: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV262 )
| ~ ( aNaturalNumber0 @ SY372 )
| ~ ( isPrime0 @ SY372 )
| ! [SY373: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SY372 @ SY373 ) )
| ~ ( aNaturalNumber0 @ SY373 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SY372 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY372 @ ( sK16_W3 @ SY372 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY372 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SY372 @ ( sK15_W3 @ SY372 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY372 @ SV262 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2784]) ).
thf(2820,plain,
! [SV263: $i,SV181: $i] :
( ( ! [SY374: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV263 )
| ~ ( aNaturalNumber0 @ SY374 )
| ~ ( isPrime0 @ SY374 )
| ! [SY375: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SY374 @ SY375 ) )
| ~ ( aNaturalNumber0 @ SY375 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SY374 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY374 @ ( sK14_W3 @ SY374 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY374 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SY374 @ SV263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2785]) ).
thf(2821,plain,
! [SV264: $i,SV181: $i] :
( ( ! [SY376: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV264 )
| ~ ( aNaturalNumber0 @ SY376 )
| ~ ( isPrime0 @ SY376 )
| ! [SY377: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SY376 @ SY377 ) )
| ~ ( aNaturalNumber0 @ SY377 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SY376 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY376 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SY376 @ ( sK13_W3 @ SY376 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY376 @ SV264 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2786]) ).
thf(2822,plain,
! [SV265: $i,SV181: $i] :
( ( ! [SY378: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV265 )
| ~ ( aNaturalNumber0 @ SY378 )
| ~ ( isPrime0 @ SY378 )
| ! [SY379: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SY378 @ SY379 ) )
| ~ ( aNaturalNumber0 @ SY379 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SY378 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY378 @ SV181 )
| ( doDivides0 @ SY378 @ SV265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2787]) ).
thf(2823,plain,
! [SV266: $i,SV181: $i] :
( ( ! [SY380: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV266 )
| ~ ( aNaturalNumber0 @ SY380 )
| ~ ( isPrime0 @ SY380 )
| ~ ( doDivides0 @ SY380 @ ( sdtasdt0 @ SV181 @ SV266 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SY380 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY380 @ ( sK12_W3 @ SY380 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY380 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SY380 @ ( sK11_W3 @ SY380 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY380 @ SV266 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2788]) ).
thf(2824,plain,
! [SV267: $i,SV181: $i] :
( ( ! [SY381: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV267 )
| ~ ( aNaturalNumber0 @ SY381 )
| ~ ( isPrime0 @ SY381 )
| ~ ( doDivides0 @ SY381 @ ( sdtasdt0 @ SV181 @ SV267 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SY381 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY381 @ ( sK10_W3 @ SY381 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY381 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SY381 @ SV267 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2789]) ).
thf(2825,plain,
! [SV268: $i,SV181: $i] :
( ( ! [SY382: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV268 )
| ~ ( aNaturalNumber0 @ SY382 )
| ~ ( isPrime0 @ SY382 )
| ~ ( doDivides0 @ SY382 @ ( sdtasdt0 @ SV181 @ SV268 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SY382 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY382 @ SV181 )
| ~ ( ( SV268
!= ( sdtasdt0 @ SY382 @ ( sK9_W3 @ SY382 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY382 @ SV268 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2790]) ).
thf(2826,plain,
! [SV269: $i,SV181: $i] :
( ( ! [SY383: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV269 )
| ~ ( aNaturalNumber0 @ SY383 )
| ~ ( isPrime0 @ SY383 )
| ~ ( doDivides0 @ SY383 @ ( sdtasdt0 @ SV181 @ SV269 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SY383 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY383 @ SV181 )
| ( doDivides0 @ SY383 @ SV269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2791]) ).
thf(2827,plain,
! [SV243: $i,SV240: $i,SV182: $i] :
( ( ( ( ( sdtasdt0 @ SV182 @ SV240 )
!= ( sdtasdt0 @ SV182 @ SV243 ) ) )
= $true )
| ( ( SV240 = SV243 )
= $true )
| ( ( aNaturalNumber0 @ SV240 )
= $false )
| ( ( aNaturalNumber0 @ SV243 )
= $false )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2792]) ).
thf(2828,plain,
! [SV244: $i,SV182: $i,SV241: $i] :
( ( ( ( ( sdtasdt0 @ SV241 @ SV182 )
!= ( sdtasdt0 @ SV244 @ SV182 ) ) )
= $true )
| ( ( SV241 = SV244 )
= $true )
| ( ( aNaturalNumber0 @ SV241 )
= $false )
| ( ( aNaturalNumber0 @ SV244 )
= $false )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2793]) ).
thf(2829,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2794]) ).
thf(2830,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2794]) ).
thf(2831,plain,
( ( ~ ( ( xp != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2795]) ).
thf(2832,plain,
( ( ~ ( ( xp != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2795]) ).
thf(2833,plain,
! [SV239: $i,SV178: $i,SV242: $i] :
( ( ( aNaturalNumber0 @ SV242 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV239 )
= $false )
| ( ( ( SV178 = sz00 )
| ( SV239 = SV242 )
| ~ ( sdtlseqdt0 @ SV239 @ SV242 )
| ( ( sdtasdt0 @ SV239 @ SV178 )
!= ( sdtasdt0 @ SV242 @ SV178 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2796]) ).
thf(2834,plain,
! [SV250: $i,SV248: $i,SV178: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV178 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV248 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV250 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 )
| ( ( sdtasdt0 @ SV178 @ SV248 )
!= ( sdtasdt0 @ SV178 @ SV250 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2797]) ).
thf(2835,plain,
! [SV251: $i,SV249: $i,SV178: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV178 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV249 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV251 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SV249 ) @ ( sdtasdt0 @ SV178 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2798]) ).
thf(2836,plain,
! [SV234: $i,SV225: $i,SV178: $i] :
( ( ( SV178 = sz00 )
= $true )
| ( ( SV225 = SV234 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV225 @ SV234 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV225 @ SV178 ) @ ( sdtasdt0 @ SV234 @ SV178 ) )
= $true )
| ( ( aNaturalNumber0 @ SV225 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV234 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2799]) ).
thf(2837,plain,
! [SV201: $i,SV180: $i] :
( ( ( ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( ( sdtpldt0 @ SV180 @ SY341 )
!= ( sdtpldt0 @ SV201 @ SY341 ) ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2802]) ).
thf(2838,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) )
| ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2803]) ).
thf(2839,plain,
! [SV201: $i,SV180: $i,SV252: $i] :
( ( ( aNaturalNumber0 @ SV252 )
= $false )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SV252 ) @ ( sdtpldt0 @ SV201 @ SV252 ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2804]) ).
thf(2840,plain,
( ( ( xn != xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2805]) ).
thf(2841,plain,
( ( ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2806]) ).
thf(2842,plain,
! [SV253: $i,SV246: $i] :
( ( ( ( xr
!= ( sdtasdt0 @ SV246 @ SV253 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV253 ) )
= $true )
| ( ( aNaturalNumber0 @ SV246 )
= $false )
| ( ( ( SV246 = sz10 )
| ( SV246 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2807]) ).
thf(2843,plain,
! [SV247: $i] :
( ( ( SV247 = sz10 )
= $true )
| ( ( SV247 = xr )
= $true )
| ( ( aNaturalNumber0 @ SV247 )
= $false )
| ( ( doDivides0 @ SV247 @ xr )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2808]) ).
thf(2844,plain,
( ( ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2809]) ).
thf(2845,plain,
( ( doDivides0 @ xr @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2810]) ).
thf(2846,plain,
! [SV270: $i,SV254: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV254 )
| ~ ( aNaturalNumber0 @ SV270 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2811]) ).
thf(2847,plain,
! [SV271: $i,SV255: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV255 )
| ~ ( aNaturalNumber0 @ SV271 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2812]) ).
thf(2848,plain,
! [SV272: $i,SV256: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV256 )
| ~ ( aNaturalNumber0 @ SV272 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2813]) ).
thf(2849,plain,
! [SV273: $i,SV257: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV257 )
| ~ ( aNaturalNumber0 @ SV273 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2814]) ).
thf(2850,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV258 )
| ~ ( aNaturalNumber0 @ SV274 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) ) ) )
| ( SV274 = sz00 )
| ( SV274 = sz10 )
| ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2815]) ).
thf(2851,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV259 )
| ~ ( aNaturalNumber0 @ SV275 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) ) ) )
| ( SV275 = sz00 )
| ( SV275 = sz10 )
| ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2816]) ).
thf(2852,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV260 )
| ~ ( aNaturalNumber0 @ SV276 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) ) ) )
| ( SV276 = sz00 )
| ( SV276 = sz10 )
| ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2817]) ).
thf(2853,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV261 )
| ~ ( aNaturalNumber0 @ SV277 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) ) ) )
| ( SV277 = sz00 )
| ( SV277 = sz10 )
| ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2818]) ).
thf(2854,plain,
! [SV278: $i,SV262: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV262 )
| ~ ( aNaturalNumber0 @ SV278 )
| ~ ( isPrime0 @ SV278 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2819]) ).
thf(2855,plain,
! [SV279: $i,SV263: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV263 )
| ~ ( aNaturalNumber0 @ SV279 )
| ~ ( isPrime0 @ SV279 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2820]) ).
thf(2856,plain,
! [SV280: $i,SV264: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV264 )
| ~ ( aNaturalNumber0 @ SV280 )
| ~ ( isPrime0 @ SV280 )
| ! [SY390: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY390 ) )
| ~ ( aNaturalNumber0 @ SY390 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2821]) ).
thf(2857,plain,
! [SV281: $i,SV265: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV265 )
| ~ ( aNaturalNumber0 @ SV281 )
| ~ ( isPrime0 @ SV281 )
| ! [SY391: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY391 ) )
| ~ ( aNaturalNumber0 @ SY391 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2822]) ).
thf(2858,plain,
! [SV282: $i,SV266: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV266 )
| ~ ( aNaturalNumber0 @ SV282 )
| ~ ( isPrime0 @ SV282 )
| ~ ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2823]) ).
thf(2859,plain,
! [SV283: $i,SV267: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV267 )
| ~ ( aNaturalNumber0 @ SV283 )
| ~ ( isPrime0 @ SV283 )
| ~ ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2824]) ).
thf(2860,plain,
! [SV284: $i,SV268: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV268 )
| ~ ( aNaturalNumber0 @ SV284 )
| ~ ( isPrime0 @ SV284 )
| ~ ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV284 @ SV181 )
| ~ ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2825]) ).
thf(2861,plain,
! [SV285: $i,SV269: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV269 )
| ~ ( aNaturalNumber0 @ SV285 )
| ~ ( isPrime0 @ SV285 )
| ~ ( doDivides0 @ SV285 @ ( sdtasdt0 @ SV181 @ SV269 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SV285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV285 @ SV181 )
| ( doDivides0 @ SV285 @ SV269 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2826]) ).
thf(2862,plain,
! [SV243: $i,SV240: $i,SV182: $i] :
( ( ( ( sdtasdt0 @ SV182 @ SV240 )
= ( sdtasdt0 @ SV182 @ SV243 ) )
= $false )
| ( ( SV240 = SV243 )
= $true )
| ( ( aNaturalNumber0 @ SV240 )
= $false )
| ( ( aNaturalNumber0 @ SV243 )
= $false )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2827]) ).
thf(2863,plain,
! [SV244: $i,SV182: $i,SV241: $i] :
( ( ( ( sdtasdt0 @ SV241 @ SV182 )
= ( sdtasdt0 @ SV244 @ SV182 ) )
= $false )
| ( ( SV241 = SV244 )
= $true )
| ( ( aNaturalNumber0 @ SV241 )
= $false )
| ( ( aNaturalNumber0 @ SV244 )
= $false )
| ( ( SV182 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2828]) ).
thf(2864,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2829]) ).
thf(2865,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2830]) ).
thf(2866,plain,
( ( ( xp != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2831]) ).
thf(2867,plain,
( ( ( xp != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2832]) ).
thf(2868,plain,
! [SV242: $i,SV239: $i,SV178: $i] :
( ( ( ( SV178 = sz00 )
| ( SV239 = SV242 )
| ~ ( sdtlseqdt0 @ SV239 @ SV242 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV239 @ SV178 )
!= ( sdtasdt0 @ SV242 @ SV178 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV239 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV242 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2833]) ).
thf(2869,plain,
! [SV250: $i,SV248: $i,SV178: $i] :
( ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV248 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV250 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 )
| ( ( sdtasdt0 @ SV178 @ SV248 )
!= ( sdtasdt0 @ SV178 @ SV250 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2834]) ).
thf(2870,plain,
! [SV251: $i,SV249: $i,SV178: $i] :
( ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV249 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV251 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SV249 ) @ ( sdtasdt0 @ SV178 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2835]) ).
thf(2871,plain,
! [SV178: $i,SV234: $i,SV225: $i] :
( ( ( sdtlseqdt0 @ SV225 @ SV234 )
= $false )
| ( ( SV225 = SV234 )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV225 @ SV178 ) @ ( sdtasdt0 @ SV234 @ SV178 ) )
= $true )
| ( ( aNaturalNumber0 @ SV225 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV234 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2836]) ).
thf(2872,plain,
! [SV201: $i,SV180: $i,SV286: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV286 )
| ( ( sdtpldt0 @ SV180 @ SV286 )
!= ( sdtpldt0 @ SV201 @ SV286 ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2837]) ).
thf(2873,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) )
| ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2838]) ).
thf(2874,plain,
( ( xn = xp )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2840]) ).
thf(2875,plain,
( ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2841]) ).
thf(2876,plain,
! [SV253: $i,SV246: $i] :
( ( ( xr
= ( sdtasdt0 @ SV246 @ SV253 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV253 ) )
= $true )
| ( ( aNaturalNumber0 @ SV246 )
= $false )
| ( ( ( SV246 = sz10 )
| ( SV246 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2842]) ).
thf(2877,plain,
( ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2844]) ).
thf(2878,plain,
! [SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV254 )
| ~ ( aNaturalNumber0 @ SV270 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2846]) ).
thf(2879,plain,
! [SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV255 )
| ~ ( aNaturalNumber0 @ SV271 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2847]) ).
thf(2880,plain,
! [SV272: $i,SV256: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV256 )
| ~ ( aNaturalNumber0 @ SV272 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2848]) ).
thf(2881,plain,
! [SV273: $i,SV257: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV257 )
| ~ ( aNaturalNumber0 @ SV273 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2849]) ).
thf(2882,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV258 )
| ~ ( aNaturalNumber0 @ SV274 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) ) ) )
| ( SV274 = sz00 )
| ( SV274 = sz10 )
| ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2850]) ).
thf(2883,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV259 )
| ~ ( aNaturalNumber0 @ SV275 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) ) ) )
| ( SV275 = sz00 )
| ( SV275 = sz10 )
| ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2851]) ).
thf(2884,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV260 )
| ~ ( aNaturalNumber0 @ SV276 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) ) ) )
| ( SV276 = sz00 )
| ( SV276 = sz10 )
| ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2852]) ).
thf(2885,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV261 )
| ~ ( aNaturalNumber0 @ SV277 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) ) ) )
| ( SV277 = sz00 )
| ( SV277 = sz10 )
| ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2853]) ).
thf(2886,plain,
! [SV278: $i,SV262: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV262 )
| ~ ( aNaturalNumber0 @ SV278 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV278 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2854]) ).
thf(2887,plain,
! [SV279: $i,SV263: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV263 )
| ~ ( aNaturalNumber0 @ SV279 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV279 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2855]) ).
thf(2888,plain,
! [SV280: $i,SV264: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV264 )
| ~ ( aNaturalNumber0 @ SV280 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV280 )
| ! [SY390: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY390 ) )
| ~ ( aNaturalNumber0 @ SY390 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2856]) ).
thf(2889,plain,
! [SV281: $i,SV265: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV265 )
| ~ ( aNaturalNumber0 @ SV281 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV281 )
| ! [SY391: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY391 ) )
| ~ ( aNaturalNumber0 @ SY391 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2857]) ).
thf(2890,plain,
! [SV282: $i,SV266: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV266 )
| ~ ( aNaturalNumber0 @ SV282 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV282 )
| ~ ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2858]) ).
thf(2891,plain,
! [SV283: $i,SV267: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV267 )
| ~ ( aNaturalNumber0 @ SV283 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV283 )
| ~ ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2859]) ).
thf(2892,plain,
! [SV284: $i,SV268: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV268 )
| ~ ( aNaturalNumber0 @ SV284 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV284 )
| ~ ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV284 @ SV181 )
| ~ ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2860]) ).
thf(2893,plain,
! [SV285: $i,SV269: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV269 )
| ~ ( aNaturalNumber0 @ SV285 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV285 )
| ~ ( doDivides0 @ SV285 @ ( sdtasdt0 @ SV181 @ SV269 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SV285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV285 @ SV181 )
| ( doDivides0 @ SV285 @ SV269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2861]) ).
thf(2894,plain,
! [SV287: $i] :
( ( ~ ( aNaturalNumber0 @ SV287 )
| ! [SY392: $i] :
( ( xp
!= ( sdtasdt0 @ SV287 @ SY392 ) )
| ~ ( aNaturalNumber0 @ SY392 ) )
| ( SV287 = sz10 )
| ( SV287 = xp ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2864]) ).
thf(2895,plain,
! [SV288: $i] :
( ( ~ ( aNaturalNumber0 @ SV288 )
| ~ ( doDivides0 @ SV288 @ xp )
| ( SV288 = sz10 )
| ( SV288 = xp ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2865]) ).
thf(2896,plain,
( ( xp = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2866]) ).
thf(2897,plain,
( ( xp = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2867]) ).
thf(2898,plain,
! [SV242: $i,SV239: $i,SV178: $i] :
( ( ( ( SV178 = sz00 )
| ( SV239 = SV242 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV239 @ SV242 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV239 @ SV178 )
!= ( sdtasdt0 @ SV242 @ SV178 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV239 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV242 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2868]) ).
thf(2899,plain,
! [SV250: $i,SV178: $i,SV248: $i] :
( ( ( aNaturalNumber0 @ SV248 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV250 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 )
| ( ( sdtasdt0 @ SV178 @ SV248 )
!= ( sdtasdt0 @ SV178 @ SV250 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2869]) ).
thf(2900,plain,
! [SV251: $i,SV178: $i,SV249: $i] :
( ( ( aNaturalNumber0 @ SV249 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV251 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SV249 ) @ ( sdtasdt0 @ SV178 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2870]) ).
thf(2901,plain,
! [SV201: $i,SV180: $i,SV286: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV286 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV180 @ SV286 )
!= ( sdtpldt0 @ SV201 @ SV286 ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2872]) ).
thf(2902,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2873]) ).
thf(2903,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2873]) ).
thf(2904,plain,
( ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2875]) ).
thf(2905,plain,
( ( ~ ( aNaturalNumber0 @ sK7_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2875]) ).
thf(2906,plain,
! [SV246: $i,SV253: $i] :
( ( ( aNaturalNumber0 @ SV253 )
= $false )
| ( ( xr
= ( sdtasdt0 @ SV246 @ SV253 ) )
= $false )
| ( ( aNaturalNumber0 @ SV246 )
= $false )
| ( ( ( SV246 = sz10 )
| ( SV246 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2876]) ).
thf(2907,plain,
( ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2877]) ).
thf(2908,plain,
( ( ~ ( aNaturalNumber0 @ xr ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2877]) ).
thf(2909,plain,
! [SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV254 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV270 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2878]) ).
thf(2910,plain,
! [SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV255 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV271 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2879]) ).
thf(2911,plain,
! [SV272: $i,SV256: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV256 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV272 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2880]) ).
thf(2912,plain,
! [SV273: $i,SV257: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV257 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV273 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2881]) ).
thf(2913,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV258 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV274 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) ) ) )
| ( SV274 = sz00 )
| ( SV274 = sz10 )
| ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2882]) ).
thf(2914,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV259 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV275 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) ) ) )
| ( SV275 = sz00 )
| ( SV275 = sz10 )
| ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2883]) ).
thf(2915,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV260 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV276 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) ) ) )
| ( SV276 = sz00 )
| ( SV276 = sz10 )
| ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2884]) ).
thf(2916,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV261 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV277 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) ) ) )
| ( SV277 = sz00 )
| ( SV277 = sz10 )
| ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2885]) ).
thf(2917,plain,
! [SV278: $i,SV262: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV262 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV278 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV278 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2886]) ).
thf(2918,plain,
! [SV279: $i,SV263: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV263 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV279 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV279 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2887]) ).
thf(2919,plain,
! [SV280: $i,SV264: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV264 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV280 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV280 )
| ! [SY390: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY390 ) )
| ~ ( aNaturalNumber0 @ SY390 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2888]) ).
thf(2920,plain,
! [SV281: $i,SV265: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV265 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV281 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV281 )
| ! [SY391: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY391 ) )
| ~ ( aNaturalNumber0 @ SY391 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2889]) ).
thf(2921,plain,
! [SV282: $i,SV266: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV266 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV282 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV282 )
| ~ ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2890]) ).
thf(2922,plain,
! [SV283: $i,SV267: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV267 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV283 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV283 )
| ~ ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2891]) ).
thf(2923,plain,
! [SV284: $i,SV268: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV268 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV284 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV284 )
| ~ ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV284 @ SV181 )
| ~ ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2892]) ).
thf(2924,plain,
! [SV285: $i,SV269: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV269 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV285 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV285 )
| ~ ( doDivides0 @ SV285 @ ( sdtasdt0 @ SV181 @ SV269 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SV285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV285 @ SV181 )
| ( doDivides0 @ SV285 @ SV269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2893]) ).
thf(2925,plain,
! [SV287: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV287 )
| ! [SY392: $i] :
( ( xp
!= ( sdtasdt0 @ SV287 @ SY392 ) )
| ~ ( aNaturalNumber0 @ SY392 ) ) )
= $true )
| ( ( ( SV287 = sz10 )
| ( SV287 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2894]) ).
thf(2926,plain,
! [SV288: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV288 )
| ~ ( doDivides0 @ SV288 @ xp ) )
= $true )
| ( ( ( SV288 = sz10 )
| ( SV288 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2895]) ).
thf(2927,plain,
! [SV242: $i,SV239: $i,SV178: $i] :
( ( ( SV178 = sz00 )
= $true )
| ( ( SV239 = SV242 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV239 @ SV242 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV239 @ SV178 )
!= ( sdtasdt0 @ SV242 @ SV178 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV239 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV242 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2898]) ).
thf(2928,plain,
! [SV248: $i,SV178: $i,SV250: $i] :
( ( ( aNaturalNumber0 @ SV250 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV248 )
= $false )
| ( ( ( SV178 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 )
| ( ( sdtasdt0 @ SV178 @ SV248 )
!= ( sdtasdt0 @ SV178 @ SV250 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2899]) ).
thf(2929,plain,
! [SV249: $i,SV178: $i,SV251: $i] :
( ( ( aNaturalNumber0 @ SV251 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV249 )
= $false )
| ( ( ( SV178 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SV249 ) @ ( sdtasdt0 @ SV178 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2900]) ).
thf(2930,plain,
! [SV201: $i,SV180: $i,SV286: $i] :
( ( ( aNaturalNumber0 @ SV286 )
= $false )
| ( ( ( ( sdtpldt0 @ SV180 @ SV286 )
!= ( sdtpldt0 @ SV201 @ SV286 ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2901]) ).
thf(2931,plain,
! [SV201: $i,SV180: $i] :
( ( ( ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( ( sdtpldt0 @ SY342 @ SV180 )
!= ( sdtpldt0 @ SY342 @ SV201 ) ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2902]) ).
thf(2932,plain,
! [SV201: $i,SV180: $i] :
( ( ( ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SY343 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY343 @ SV180 ) @ ( sdtpldt0 @ SY343 @ SV201 ) ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2903]) ).
thf(2933,plain,
( ( ( sdtpldt0 @ xn @ sK7_W0 )
= xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2904]) ).
thf(2934,plain,
( ( aNaturalNumber0 @ sK7_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2905]) ).
thf(2935,plain,
! [SV253: $i,SV246: $i] :
( ( ( SV246 = sz10 )
= $true )
| ( ( SV246 = xr )
= $true )
| ( ( aNaturalNumber0 @ SV246 )
= $false )
| ( ( xr
= ( sdtasdt0 @ SV246 @ SV253 ) )
= $false )
| ( ( aNaturalNumber0 @ SV253 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2906]) ).
thf(2936,plain,
( ( ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2907]) ).
thf(2937,plain,
( ( aNaturalNumber0 @ xr )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2908]) ).
thf(2938,plain,
! [SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV254 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV270 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2909]) ).
thf(2939,plain,
! [SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV255 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV271 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2910]) ).
thf(2940,plain,
! [SV272: $i,SV256: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV256 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV272 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2911]) ).
thf(2941,plain,
! [SV273: $i,SV257: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV257 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV273 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2912]) ).
thf(2942,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV258 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV274 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) ) ) )
| ( SV274 = sz00 )
| ( SV274 = sz10 )
| ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2913]) ).
thf(2943,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV259 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV275 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) ) ) )
| ( SV275 = sz00 )
| ( SV275 = sz10 )
| ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2914]) ).
thf(2944,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV260 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV276 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) ) ) )
| ( SV276 = sz00 )
| ( SV276 = sz10 )
| ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2915]) ).
thf(2945,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV261 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV277 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) ) ) )
| ( SV277 = sz00 )
| ( SV277 = sz10 )
| ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2916]) ).
thf(2946,plain,
! [SV278: $i,SV262: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV262 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV278 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV278 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2917]) ).
thf(2947,plain,
! [SV279: $i,SV263: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV263 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV279 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV279 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2918]) ).
thf(2948,plain,
! [SV280: $i,SV264: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV264 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV280 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV280 )
| ! [SY390: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY390 ) )
| ~ ( aNaturalNumber0 @ SY390 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2919]) ).
thf(2949,plain,
! [SV281: $i,SV265: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV265 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV281 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV281 )
| ! [SY391: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY391 ) )
| ~ ( aNaturalNumber0 @ SY391 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2920]) ).
thf(2950,plain,
! [SV282: $i,SV266: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV266 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV282 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV282 )
| ~ ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2921]) ).
thf(2951,plain,
! [SV283: $i,SV267: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV267 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV283 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV283 )
| ~ ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2922]) ).
thf(2952,plain,
! [SV284: $i,SV268: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV268 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV284 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV284 )
| ~ ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV284 @ SV181 )
| ~ ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2923]) ).
thf(2953,plain,
! [SV285: $i,SV269: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV269 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV285 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV285 )
| ~ ( doDivides0 @ SV285 @ ( sdtasdt0 @ SV181 @ SV269 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SV285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV285 @ SV181 )
| ( doDivides0 @ SV285 @ SV269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2924]) ).
thf(2954,plain,
! [SV287: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV287 ) )
= $true )
| ( ( ! [SY392: $i] :
( ( xp
!= ( sdtasdt0 @ SV287 @ SY392 ) )
| ~ ( aNaturalNumber0 @ SY392 ) ) )
= $true )
| ( ( ( SV287 = sz10 )
| ( SV287 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2925]) ).
thf(2955,plain,
! [SV288: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV288 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV288 @ xp ) )
= $true )
| ( ( ( SV288 = sz10 )
| ( SV288 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2926]) ).
thf(2956,plain,
! [SV178: $i,SV242: $i,SV239: $i] :
( ( ( sdtlseqdt0 @ SV239 @ SV242 )
= $false )
| ( ( SV239 = SV242 )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( ( ( sdtasdt0 @ SV239 @ SV178 )
!= ( sdtasdt0 @ SV242 @ SV178 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV239 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV242 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2927]) ).
thf(2957,plain,
! [SV250: $i,SV248: $i,SV178: $i] :
( ( ( ( SV178 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV178 @ SV248 )
!= ( sdtasdt0 @ SV178 @ SV250 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV248 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2928]) ).
thf(2958,plain,
! [SV251: $i,SV249: $i,SV178: $i] :
( ( ( ( SV178 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SV249 ) @ ( sdtasdt0 @ SV178 @ SV251 ) )
= $true )
| ( ( aNaturalNumber0 @ SV249 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV251 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2929]) ).
thf(2959,plain,
! [SV201: $i,SV286: $i,SV180: $i] :
( ( ( ( sdtpldt0 @ SV180 @ SV286 )
= ( sdtpldt0 @ SV201 @ SV286 ) )
= $false )
| ( ( aNaturalNumber0 @ SV286 )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2930]) ).
thf(2960,plain,
! [SV201: $i,SV180: $i,SV289: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV289 )
| ( ( sdtpldt0 @ SV289 @ SV180 )
!= ( sdtpldt0 @ SV289 @ SV201 ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2931]) ).
thf(2961,plain,
! [SV201: $i,SV180: $i,SV290: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV290 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV290 @ SV180 ) @ ( sdtpldt0 @ SV290 @ SV201 ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2932]) ).
thf(2962,plain,
( ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2936]) ).
thf(2963,plain,
! [SV270: $i,SV254: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV254 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV270 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2938]) ).
thf(2964,plain,
! [SV271: $i,SV255: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV255 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV271 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2939]) ).
thf(2965,plain,
! [SV272: $i,SV256: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV256 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV272 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2940]) ).
thf(2966,plain,
! [SV273: $i,SV257: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV257 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV273 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2941]) ).
thf(2967,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV258 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV274 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) ) ) )
| ( SV274 = sz00 )
| ( SV274 = sz10 )
| ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2942]) ).
thf(2968,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV259 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV275 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) ) ) )
| ( SV275 = sz00 )
| ( SV275 = sz10 )
| ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2943]) ).
thf(2969,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV260 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV276 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) ) ) )
| ( SV276 = sz00 )
| ( SV276 = sz10 )
| ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2944]) ).
thf(2970,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV261 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV277 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) ) ) )
| ( SV277 = sz00 )
| ( SV277 = sz10 )
| ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2945]) ).
thf(2971,plain,
! [SV278: $i,SV262: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV262 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV278 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV278 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2946]) ).
thf(2972,plain,
! [SV279: $i,SV263: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV263 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV279 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV279 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2947]) ).
thf(2973,plain,
! [SV280: $i,SV264: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV264 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV280 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV280 )
| ! [SY390: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY390 ) )
| ~ ( aNaturalNumber0 @ SY390 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2948]) ).
thf(2974,plain,
! [SV281: $i,SV265: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV265 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV281 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV281 )
| ! [SY391: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY391 ) )
| ~ ( aNaturalNumber0 @ SY391 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2949]) ).
thf(2975,plain,
! [SV282: $i,SV266: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV266 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV282 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV282 )
| ~ ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2950]) ).
thf(2976,plain,
! [SV283: $i,SV267: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV267 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV283 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV283 )
| ~ ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2951]) ).
thf(2977,plain,
! [SV284: $i,SV268: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV268 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV284 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV284 )
| ~ ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV284 @ SV181 )
| ~ ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2952]) ).
thf(2978,plain,
! [SV285: $i,SV269: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV269 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV285 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV285 )
| ~ ( doDivides0 @ SV285 @ ( sdtasdt0 @ SV181 @ SV269 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SV285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV285 @ SV181 )
| ( doDivides0 @ SV285 @ SV269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2953]) ).
thf(2979,plain,
! [SV287: $i] :
( ( ( aNaturalNumber0 @ SV287 )
= $false )
| ( ( ! [SY392: $i] :
( ( xp
!= ( sdtasdt0 @ SV287 @ SY392 ) )
| ~ ( aNaturalNumber0 @ SY392 ) ) )
= $true )
| ( ( ( SV287 = sz10 )
| ( SV287 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2954]) ).
thf(2980,plain,
! [SV288: $i] :
( ( ( aNaturalNumber0 @ SV288 )
= $false )
| ( ( ~ ( doDivides0 @ SV288 @ xp ) )
= $true )
| ( ( ( SV288 = sz10 )
| ( SV288 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2955]) ).
thf(2981,plain,
! [SV242: $i,SV178: $i,SV239: $i] :
( ( ( ( sdtasdt0 @ SV239 @ SV178 )
= ( sdtasdt0 @ SV242 @ SV178 ) )
= $false )
| ( ( SV178 = sz00 )
= $true )
| ( ( SV239 = SV242 )
= $true )
| ( ( sdtlseqdt0 @ SV239 @ SV242 )
= $false )
| ( ( aNaturalNumber0 @ SV239 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV242 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2956]) ).
thf(2982,plain,
! [SV250: $i,SV248: $i,SV178: $i] :
( ( ( ( SV178 = sz00 )
| ( SV248 = SV250 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV248 @ SV250 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV178 @ SV248 )
!= ( sdtasdt0 @ SV178 @ SV250 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV248 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2957]) ).
thf(2983,plain,
! [SV251: $i,SV249: $i,SV178: $i] :
( ( ( ( SV178 = sz00 )
| ( SV249 = SV251 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV249 @ SV251 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SV249 ) @ ( sdtasdt0 @ SV178 @ SV251 ) )
= $true )
| ( ( aNaturalNumber0 @ SV249 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV251 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2958]) ).
thf(2984,plain,
! [SV201: $i,SV180: $i,SV289: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV289 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV289 @ SV180 )
!= ( sdtpldt0 @ SV289 @ SV201 ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2960]) ).
thf(2985,plain,
! [SV201: $i,SV180: $i,SV290: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV290 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV290 @ SV180 ) @ ( sdtpldt0 @ SV290 @ SV201 ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2961]) ).
thf(2986,plain,
( ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2962]) ).
thf(2987,plain,
( ( ~ ( aNaturalNumber0 @ sK5_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2962]) ).
thf(2988,plain,
! [SV270: $i,SV181: $i,SV254: $i] :
( ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV270 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2963]) ).
thf(2989,plain,
! [SV271: $i,SV181: $i,SV255: $i] :
( ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV271 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2964]) ).
thf(2990,plain,
! [SV272: $i,SV181: $i,SV256: $i] :
( ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV272 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2965]) ).
thf(2991,plain,
! [SV273: $i,SV181: $i,SV257: $i] :
( ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV273 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2966]) ).
thf(2992,plain,
! [SV274: $i,SV181: $i,SV258: $i] :
( ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV274 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) ) ) )
| ( SV274 = sz00 )
| ( SV274 = sz10 )
| ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2967]) ).
thf(2993,plain,
! [SV275: $i,SV181: $i,SV259: $i] :
( ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV275 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) ) ) )
| ( SV275 = sz00 )
| ( SV275 = sz10 )
| ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2968]) ).
thf(2994,plain,
! [SV276: $i,SV181: $i,SV260: $i] :
( ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV276 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) ) ) )
| ( SV276 = sz00 )
| ( SV276 = sz10 )
| ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2969]) ).
thf(2995,plain,
! [SV277: $i,SV181: $i,SV261: $i] :
( ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV277 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) ) ) )
| ( SV277 = sz00 )
| ( SV277 = sz10 )
| ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2970]) ).
thf(2996,plain,
! [SV278: $i,SV181: $i,SV262: $i] :
( ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV278 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV278 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2971]) ).
thf(2997,plain,
! [SV279: $i,SV181: $i,SV263: $i] :
( ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV279 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV279 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2972]) ).
thf(2998,plain,
! [SV280: $i,SV181: $i,SV264: $i] :
( ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV280 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV280 )
| ! [SY390: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY390 ) )
| ~ ( aNaturalNumber0 @ SY390 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2973]) ).
thf(2999,plain,
! [SV281: $i,SV181: $i,SV265: $i] :
( ( ( aNaturalNumber0 @ SV265 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV281 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV281 )
| ! [SY391: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY391 ) )
| ~ ( aNaturalNumber0 @ SY391 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2974]) ).
thf(3000,plain,
! [SV282: $i,SV181: $i,SV266: $i] :
( ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV282 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV282 )
| ~ ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2975]) ).
thf(3001,plain,
! [SV283: $i,SV181: $i,SV267: $i] :
( ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV283 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV283 )
| ~ ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2976]) ).
thf(3002,plain,
! [SV284: $i,SV181: $i,SV268: $i] :
( ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV284 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV284 )
| ~ ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV284 @ SV181 )
| ~ ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2977]) ).
thf(3003,plain,
! [SV285: $i,SV181: $i,SV269: $i] :
( ( ( aNaturalNumber0 @ SV269 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV285 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV285 )
| ~ ( doDivides0 @ SV285 @ ( sdtasdt0 @ SV181 @ SV269 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SV285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV285 @ SV181 )
| ( doDivides0 @ SV285 @ SV269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2978]) ).
thf(3004,plain,
! [SV291: $i,SV287: $i] :
( ( ( ( xp
!= ( sdtasdt0 @ SV287 @ SV291 ) )
| ~ ( aNaturalNumber0 @ SV291 ) )
= $true )
| ( ( aNaturalNumber0 @ SV287 )
= $false )
| ( ( ( SV287 = sz10 )
| ( SV287 = xp ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2979]) ).
thf(3005,plain,
! [SV288: $i] :
( ( ( doDivides0 @ SV288 @ xp )
= $false )
| ( ( aNaturalNumber0 @ SV288 )
= $false )
| ( ( ( SV288 = sz10 )
| ( SV288 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2980]) ).
thf(3006,plain,
! [SV250: $i,SV248: $i,SV178: $i] :
( ( ( SV178 = sz00 )
= $true )
| ( ( SV248 = SV250 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV248 @ SV250 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV178 @ SV248 )
!= ( sdtasdt0 @ SV178 @ SV250 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV248 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2982]) ).
thf(3007,plain,
! [SV251: $i,SV249: $i,SV178: $i] :
( ( ( SV178 = sz00 )
= $true )
| ( ( SV249 = SV251 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV249 @ SV251 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SV249 ) @ ( sdtasdt0 @ SV178 @ SV251 ) )
= $true )
| ( ( aNaturalNumber0 @ SV249 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV251 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2983]) ).
thf(3008,plain,
! [SV201: $i,SV180: $i,SV289: $i] :
( ( ( aNaturalNumber0 @ SV289 )
= $false )
| ( ( ( ( sdtpldt0 @ SV289 @ SV180 )
!= ( sdtpldt0 @ SV289 @ SV201 ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2984]) ).
thf(3009,plain,
! [SV201: $i,SV180: $i,SV290: $i] :
( ( ( aNaturalNumber0 @ SV290 )
= $false )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV290 @ SV180 ) @ ( sdtpldt0 @ SV290 @ SV201 ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2985]) ).
thf(3010,plain,
( ( xk
= ( sdtasdt0 @ xr @ sK5_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2986]) ).
thf(3011,plain,
( ( aNaturalNumber0 @ sK5_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2987]) ).
thf(3012,plain,
! [SV254: $i,SV181: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ SV270 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2988]) ).
thf(3013,plain,
! [SV255: $i,SV181: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ SV271 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2989]) ).
thf(3014,plain,
! [SV256: $i,SV181: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ SV272 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2990]) ).
thf(3015,plain,
! [SV257: $i,SV181: $i,SV273: $i] :
( ( ( aNaturalNumber0 @ SV273 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2991]) ).
thf(3016,plain,
! [SV258: $i,SV181: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ SV274 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) ) ) )
| ( SV274 = sz00 )
| ( SV274 = sz10 )
| ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2992]) ).
thf(3017,plain,
! [SV259: $i,SV181: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ SV275 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) ) ) )
| ( SV275 = sz00 )
| ( SV275 = sz10 )
| ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2993]) ).
thf(3018,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ SV276 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) ) ) )
| ( SV276 = sz00 )
| ( SV276 = sz10 )
| ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2994]) ).
thf(3019,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( aNaturalNumber0 @ SV277 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) ) ) )
| ( SV277 = sz00 )
| ( SV277 = sz10 )
| ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2995]) ).
thf(3020,plain,
! [SV262: $i,SV181: $i,SV278: $i] :
( ( ( aNaturalNumber0 @ SV278 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( ~ ( isPrime0 @ SV278 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2996]) ).
thf(3021,plain,
! [SV263: $i,SV181: $i,SV279: $i] :
( ( ( aNaturalNumber0 @ SV279 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( ~ ( isPrime0 @ SV279 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2997]) ).
thf(3022,plain,
! [SV264: $i,SV181: $i,SV280: $i] :
( ( ( aNaturalNumber0 @ SV280 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( ~ ( isPrime0 @ SV280 )
| ! [SY390: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY390 ) )
| ~ ( aNaturalNumber0 @ SY390 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2998]) ).
thf(3023,plain,
! [SV265: $i,SV181: $i,SV281: $i] :
( ( ( aNaturalNumber0 @ SV281 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV265 )
= $false )
| ( ( ~ ( isPrime0 @ SV281 )
| ! [SY391: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY391 ) )
| ~ ( aNaturalNumber0 @ SY391 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2999]) ).
thf(3024,plain,
! [SV266: $i,SV181: $i,SV282: $i] :
( ( ( aNaturalNumber0 @ SV282 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( ~ ( isPrime0 @ SV282 )
| ~ ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3000]) ).
thf(3025,plain,
! [SV267: $i,SV181: $i,SV283: $i] :
( ( ( aNaturalNumber0 @ SV283 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( ~ ( isPrime0 @ SV283 )
| ~ ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3001]) ).
thf(3026,plain,
! [SV268: $i,SV181: $i,SV284: $i] :
( ( ( aNaturalNumber0 @ SV284 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( ~ ( isPrime0 @ SV284 )
| ~ ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV284 @ SV181 )
| ~ ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3002]) ).
thf(3027,plain,
! [SV269: $i,SV181: $i,SV285: $i] :
( ( ( aNaturalNumber0 @ SV285 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV269 )
= $false )
| ( ( ~ ( isPrime0 @ SV285 )
| ~ ( doDivides0 @ SV285 @ ( sdtasdt0 @ SV181 @ SV269 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SV285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV285 @ SV181 )
| ( doDivides0 @ SV285 @ SV269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3003]) ).
thf(3028,plain,
! [SV291: $i,SV287: $i] :
( ( ( ( xp
!= ( sdtasdt0 @ SV287 @ SV291 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV291 ) )
= $true )
| ( ( aNaturalNumber0 @ SV287 )
= $false )
| ( ( ( SV287 = sz10 )
| ( SV287 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3004]) ).
thf(3029,plain,
! [SV288: $i] :
( ( ( SV288 = sz10 )
= $true )
| ( ( SV288 = xp )
= $true )
| ( ( aNaturalNumber0 @ SV288 )
= $false )
| ( ( doDivides0 @ SV288 @ xp )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3005]) ).
thf(3030,plain,
! [SV178: $i,SV250: $i,SV248: $i] :
( ( ( sdtlseqdt0 @ SV248 @ SV250 )
= $false )
| ( ( SV248 = SV250 )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( ( ( sdtasdt0 @ SV178 @ SV248 )
!= ( sdtasdt0 @ SV178 @ SV250 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV248 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3006]) ).
thf(3031,plain,
! [SV178: $i,SV251: $i,SV249: $i] :
( ( ( sdtlseqdt0 @ SV249 @ SV251 )
= $false )
| ( ( SV249 = SV251 )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV178 @ SV249 ) @ ( sdtasdt0 @ SV178 @ SV251 ) )
= $true )
| ( ( aNaturalNumber0 @ SV249 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV251 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3007]) ).
thf(3032,plain,
! [SV201: $i,SV180: $i,SV289: $i] :
( ( ( ( sdtpldt0 @ SV289 @ SV180 )
= ( sdtpldt0 @ SV289 @ SV201 ) )
= $false )
| ( ( aNaturalNumber0 @ SV289 )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3008]) ).
thf(3033,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3012]) ).
thf(3034,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3013]) ).
thf(3035,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3014]) ).
thf(3036,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3015]) ).
thf(3037,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) ) ) )
| ( SV274 = sz00 )
| ( SV274 = sz10 )
| ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3016]) ).
thf(3038,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) ) ) )
| ( SV275 = sz00 )
| ( SV275 = sz10 )
| ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3017]) ).
thf(3039,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) ) ) )
| ( SV276 = sz00 )
| ( SV276 = sz10 )
| ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3018]) ).
thf(3040,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) ) ) )
| ( SV277 = sz00 )
| ( SV277 = sz10 )
| ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3019]) ).
thf(3041,plain,
! [SV262: $i,SV181: $i,SV278: $i] :
( ( ( ~ ( isPrime0 @ SV278 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3020]) ).
thf(3042,plain,
! [SV263: $i,SV181: $i,SV279: $i] :
( ( ( ~ ( isPrime0 @ SV279 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3021]) ).
thf(3043,plain,
! [SV264: $i,SV181: $i,SV280: $i] :
( ( ( ~ ( isPrime0 @ SV280 )
| ! [SY390: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY390 ) )
| ~ ( aNaturalNumber0 @ SY390 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3022]) ).
thf(3044,plain,
! [SV265: $i,SV181: $i,SV281: $i] :
( ( ( ~ ( isPrime0 @ SV281 )
| ! [SY391: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY391 ) )
| ~ ( aNaturalNumber0 @ SY391 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true )
| ( ( aNaturalNumber0 @ SV265 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV281 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3023]) ).
thf(3045,plain,
! [SV266: $i,SV181: $i,SV282: $i] :
( ( ( ~ ( isPrime0 @ SV282 )
| ~ ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3024]) ).
thf(3046,plain,
! [SV267: $i,SV181: $i,SV283: $i] :
( ( ( ~ ( isPrime0 @ SV283 )
| ~ ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3025]) ).
thf(3047,plain,
! [SV268: $i,SV181: $i,SV284: $i] :
( ( ( ~ ( isPrime0 @ SV284 )
| ~ ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV284 @ SV181 )
| ~ ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3026]) ).
thf(3048,plain,
! [SV269: $i,SV181: $i,SV285: $i] :
( ( ( ~ ( isPrime0 @ SV285 )
| ~ ( doDivides0 @ SV285 @ ( sdtasdt0 @ SV181 @ SV269 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SV285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV285 @ SV181 )
| ( doDivides0 @ SV285 @ SV269 ) )
= $true )
| ( ( aNaturalNumber0 @ SV269 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV285 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3027]) ).
thf(3049,plain,
! [SV291: $i,SV287: $i] :
( ( ( xp
= ( sdtasdt0 @ SV287 @ SV291 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV291 ) )
= $true )
| ( ( aNaturalNumber0 @ SV287 )
= $false )
| ( ( ( SV287 = sz10 )
| ( SV287 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3028]) ).
thf(3050,plain,
! [SV250: $i,SV248: $i,SV178: $i] :
( ( ( ( sdtasdt0 @ SV178 @ SV248 )
= ( sdtasdt0 @ SV178 @ SV250 ) )
= $false )
| ( ( SV178 = sz00 )
= $true )
| ( ( SV248 = SV250 )
= $true )
| ( ( sdtlseqdt0 @ SV248 @ SV250 )
= $false )
| ( ( aNaturalNumber0 @ SV248 )
= $false )
| ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( aNaturalNumber0 @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3030]) ).
thf(3051,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3033]) ).
thf(3052,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3034]) ).
thf(3053,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3035]) ).
thf(3054,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3036]) ).
thf(3055,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) ) ) )
| ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3037]) ).
thf(3056,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) ) ) )
| ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3038]) ).
thf(3057,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) ) ) )
| ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3039]) ).
thf(3058,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) ) ) )
| ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3040]) ).
thf(3059,plain,
! [SV262: $i,SV181: $i,SV278: $i] :
( ( ( ~ ( isPrime0 @ SV278 ) )
= $true )
| ( ( ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3041]) ).
thf(3060,plain,
! [SV263: $i,SV181: $i,SV279: $i] :
( ( ( ~ ( isPrime0 @ SV279 ) )
= $true )
| ( ( ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3042]) ).
thf(3061,plain,
! [SV264: $i,SV181: $i,SV280: $i] :
( ( ( ~ ( isPrime0 @ SV280 ) )
= $true )
| ( ( ! [SY390: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY390 ) )
| ~ ( aNaturalNumber0 @ SY390 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3043]) ).
thf(3062,plain,
! [SV265: $i,SV181: $i,SV281: $i] :
( ( ( ~ ( isPrime0 @ SV281 ) )
= $true )
| ( ( ! [SY391: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY391 ) )
| ~ ( aNaturalNumber0 @ SY391 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true )
| ( ( aNaturalNumber0 @ SV265 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV281 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3044]) ).
thf(3063,plain,
! [SV266: $i,SV181: $i,SV282: $i] :
( ( ( ~ ( isPrime0 @ SV282 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3045]) ).
thf(3064,plain,
! [SV267: $i,SV181: $i,SV283: $i] :
( ( ( ~ ( isPrime0 @ SV283 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3046]) ).
thf(3065,plain,
! [SV268: $i,SV181: $i,SV284: $i] :
( ( ( ~ ( isPrime0 @ SV284 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV284 @ SV181 )
| ~ ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3047]) ).
thf(3066,plain,
! [SV269: $i,SV181: $i,SV285: $i] :
( ( ( ~ ( isPrime0 @ SV285 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV285 @ ( sdtasdt0 @ SV181 @ SV269 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SV285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV285 @ SV181 )
| ( doDivides0 @ SV285 @ SV269 ) )
= $true )
| ( ( aNaturalNumber0 @ SV269 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV285 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3048]) ).
thf(3067,plain,
! [SV287: $i,SV291: $i] :
( ( ( aNaturalNumber0 @ SV291 )
= $false )
| ( ( xp
= ( sdtasdt0 @ SV287 @ SV291 ) )
= $false )
| ( ( aNaturalNumber0 @ SV287 )
= $false )
| ( ( ( SV287 = sz10 )
| ( SV287 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3049]) ).
thf(3068,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3051]) ).
thf(3069,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3052]) ).
thf(3070,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3053]) ).
thf(3071,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3054]) ).
thf(3072,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) ) ) ) )
= $true )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3055]) ).
thf(3073,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) ) ) ) )
= $true )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3056]) ).
thf(3074,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) ) ) ) )
= $true )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3057]) ).
thf(3075,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) ) ) ) )
= $true )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3058]) ).
thf(3076,plain,
! [SV262: $i,SV181: $i,SV278: $i] :
( ( ( isPrime0 @ SV278 )
= $false )
| ( ( ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3059]) ).
thf(3077,plain,
! [SV263: $i,SV181: $i,SV279: $i] :
( ( ( isPrime0 @ SV279 )
= $false )
| ( ( ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3060]) ).
thf(3078,plain,
! [SV264: $i,SV181: $i,SV280: $i] :
( ( ( isPrime0 @ SV280 )
= $false )
| ( ( ! [SY390: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY390 ) )
| ~ ( aNaturalNumber0 @ SY390 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3061]) ).
thf(3079,plain,
! [SV265: $i,SV181: $i,SV281: $i] :
( ( ( isPrime0 @ SV281 )
= $false )
| ( ( ! [SY391: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY391 ) )
| ~ ( aNaturalNumber0 @ SY391 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true )
| ( ( aNaturalNumber0 @ SV265 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV281 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3062]) ).
thf(3080,plain,
! [SV266: $i,SV181: $i,SV282: $i] :
( ( ( isPrime0 @ SV282 )
= $false )
| ( ( ~ ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3063]) ).
thf(3081,plain,
! [SV267: $i,SV181: $i,SV283: $i] :
( ( ( isPrime0 @ SV283 )
= $false )
| ( ( ~ ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3064]) ).
thf(3082,plain,
! [SV268: $i,SV181: $i,SV284: $i] :
( ( ( isPrime0 @ SV284 )
= $false )
| ( ( ~ ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV284 @ SV181 )
| ~ ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3065]) ).
thf(3083,plain,
! [SV269: $i,SV181: $i,SV285: $i] :
( ( ( isPrime0 @ SV285 )
= $false )
| ( ( ~ ( doDivides0 @ SV285 @ ( sdtasdt0 @ SV181 @ SV269 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SV285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV285 @ SV181 )
| ( doDivides0 @ SV285 @ SV269 ) )
= $true )
| ( ( aNaturalNumber0 @ SV269 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV285 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3066]) ).
thf(3084,plain,
! [SV291: $i,SV287: $i] :
( ( ( SV287 = sz10 )
= $true )
| ( ( SV287 = xp )
= $true )
| ( ( aNaturalNumber0 @ SV287 )
= $false )
| ( ( xp
= ( sdtasdt0 @ SV287 @ SV291 ) )
= $false )
| ( ( aNaturalNumber0 @ SV291 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3067]) ).
thf(3085,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3068]) ).
thf(3086,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3069]) ).
thf(3087,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3070]) ).
thf(3088,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3071]) ).
thf(3089,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) ) ) )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3072]) ).
thf(3090,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) ) ) )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3073]) ).
thf(3091,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) ) ) )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3074]) ).
thf(3092,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) ) ) )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3075]) ).
thf(3093,plain,
! [SV292: $i,SV278: $i,SV262: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SV292 ) )
| ~ ( aNaturalNumber0 @ SV292 ) )
= $true )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3076]) ).
thf(3094,plain,
! [SV293: $i,SV279: $i,SV263: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SV293 ) )
| ~ ( aNaturalNumber0 @ SV293 ) )
= $true )
| ( ( isPrime0 @ SV279 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3077]) ).
thf(3095,plain,
! [SV294: $i,SV280: $i,SV264: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SV294 ) )
| ~ ( aNaturalNumber0 @ SV294 ) )
= $true )
| ( ( isPrime0 @ SV280 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3078]) ).
thf(3096,plain,
! [SV295: $i,SV281: $i,SV265: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SV295 ) )
| ~ ( aNaturalNumber0 @ SV295 ) )
= $true )
| ( ( isPrime0 @ SV281 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true )
| ( ( aNaturalNumber0 @ SV265 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV281 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3079]) ).
thf(3097,plain,
! [SV266: $i,SV181: $i,SV282: $i] :
( ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3080]) ).
thf(3098,plain,
! [SV267: $i,SV181: $i,SV283: $i] :
( ( ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
= $false )
| ( ( isPrime0 @ SV283 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3081]) ).
thf(3099,plain,
! [SV268: $i,SV181: $i,SV284: $i] :
( ( ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
= $false )
| ( ( isPrime0 @ SV284 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV284 @ SV181 )
| ~ ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3082]) ).
thf(3100,plain,
! [SV269: $i,SV181: $i,SV285: $i] :
( ( ( doDivides0 @ SV285 @ ( sdtasdt0 @ SV181 @ SV269 ) )
= $false )
| ( ( isPrime0 @ SV285 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SV285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV285 @ SV181 )
| ( doDivides0 @ SV285 @ SV269 ) )
= $true )
| ( ( aNaturalNumber0 @ SV269 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV285 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3083]) ).
thf(3101,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3085]) ).
thf(3102,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3085]) ).
thf(3103,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3086]) ).
thf(3104,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3086]) ).
thf(3105,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3087]) ).
thf(3106,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3087]) ).
thf(3107,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3088]) ).
thf(3108,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3088]) ).
thf(3109,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) ) )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3089]) ).
thf(3110,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) ) ) )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3089]) ).
thf(3111,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) ) )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3090]) ).
thf(3112,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) ) ) )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3090]) ).
thf(3113,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) ) )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3091]) ).
thf(3114,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) ) ) )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3091]) ).
thf(3115,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) ) )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3092]) ).
thf(3116,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) ) ) )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3092]) ).
thf(3117,plain,
! [SV292: $i,SV278: $i,SV262: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SV292 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV292 ) )
= $true )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3093]) ).
thf(3118,plain,
! [SV293: $i,SV279: $i,SV263: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SV293 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV293 ) )
= $true )
| ( ( isPrime0 @ SV279 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3094]) ).
thf(3119,plain,
! [SV294: $i,SV280: $i,SV264: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SV294 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV294 ) )
= $true )
| ( ( isPrime0 @ SV280 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3095]) ).
thf(3120,plain,
! [SV295: $i,SV281: $i,SV265: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SV295 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV295 ) )
= $true )
| ( ( isPrime0 @ SV281 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true )
| ( ( aNaturalNumber0 @ SV265 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV281 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3096]) ).
thf(3121,plain,
! [SV282: $i,SV266: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3097]) ).
thf(3122,plain,
! [SV283: $i,SV267: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true )
| ( ( isPrime0 @ SV283 )
= $false )
| ( ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
= $false )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3098]) ).
thf(3123,plain,
! [SV284: $i,SV268: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV284 @ SV181 )
| ~ ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true )
| ( ( isPrime0 @ SV284 )
= $false )
| ( ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
= $false )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3099]) ).
thf(3124,plain,
! [SV285: $i,SV269: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SV285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV285 @ SV181 )
| ( doDivides0 @ SV285 @ SV269 ) )
= $true )
| ( ( isPrime0 @ SV285 )
= $false )
| ( ( doDivides0 @ SV285 @ ( sdtasdt0 @ SV181 @ SV269 ) )
= $false )
| ( ( aNaturalNumber0 @ SV269 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV285 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3100]) ).
thf(3125,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3101]) ).
thf(3126,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3102]) ).
thf(3127,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3103]) ).
thf(3128,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3104]) ).
thf(3129,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3105]) ).
thf(3130,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3106]) ).
thf(3131,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3107]) ).
thf(3132,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3108]) ).
thf(3133,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) ) )
= $true )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3109]) ).
thf(3134,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) ) ) )
= $true )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3110]) ).
thf(3135,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) ) )
= $true )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3111]) ).
thf(3136,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) ) ) )
= $true )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3112]) ).
thf(3137,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) ) )
= $true )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3113]) ).
thf(3138,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) ) ) )
= $true )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3114]) ).
thf(3139,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) ) )
= $true )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3115]) ).
thf(3140,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) ) ) )
= $true )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3116]) ).
thf(3141,plain,
! [SV292: $i,SV278: $i,SV262: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV292 ) )
= $true )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3117]) ).
thf(3142,plain,
! [SV293: $i,SV279: $i,SV263: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV263 )
= ( sdtasdt0 @ SV279 @ SV293 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV293 ) )
= $true )
| ( ( isPrime0 @ SV279 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3118]) ).
thf(3143,plain,
! [SV294: $i,SV280: $i,SV264: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV264 )
= ( sdtasdt0 @ SV280 @ SV294 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV294 ) )
= $true )
| ( ( isPrime0 @ SV280 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3119]) ).
thf(3144,plain,
! [SV295: $i,SV281: $i,SV265: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV265 )
= ( sdtasdt0 @ SV281 @ SV295 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV295 ) )
= $true )
| ( ( isPrime0 @ SV281 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true )
| ( ( aNaturalNumber0 @ SV265 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV281 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3120]) ).
thf(3145,plain,
! [SV282: $i,SV266: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3121]) ).
thf(3146,plain,
! [SV283: $i,SV267: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true )
| ( ( isPrime0 @ SV283 )
= $false )
| ( ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
= $false )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3122]) ).
thf(3147,plain,
! [SV284: $i,SV268: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV284 @ SV181 )
| ~ ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true )
| ( ( isPrime0 @ SV284 )
= $false )
| ( ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
= $false )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3123]) ).
thf(3148,plain,
! [SV285: $i,SV269: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SV285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV285 @ SV181 )
| ( doDivides0 @ SV285 @ SV269 ) )
= $true )
| ( ( isPrime0 @ SV285 )
= $false )
| ( ( doDivides0 @ SV285 @ ( sdtasdt0 @ SV181 @ SV269 ) )
= $false )
| ( ( aNaturalNumber0 @ SV269 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV285 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3124]) ).
thf(3149,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3125]) ).
thf(3150,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3126]) ).
thf(3151,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3127]) ).
thf(3152,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3128]) ).
thf(3153,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3129]) ).
thf(3154,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3130]) ).
thf(3155,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3131]) ).
thf(3156,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3132]) ).
thf(3157,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3133]) ).
thf(3158,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) ) )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3134]) ).
thf(3159,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3135]) ).
thf(3160,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) ) )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3136]) ).
thf(3161,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3137]) ).
thf(3162,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) ) )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3138]) ).
thf(3163,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3139]) ).
thf(3164,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) ) )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3140]) ).
thf(3165,plain,
! [SV278: $i,SV262: $i,SV181: $i,SV292: $i] :
( ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3141]) ).
thf(3166,plain,
! [SV279: $i,SV263: $i,SV181: $i,SV293: $i] :
( ( ( aNaturalNumber0 @ SV293 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV263 )
= ( sdtasdt0 @ SV279 @ SV293 ) )
= $false )
| ( ( isPrime0 @ SV279 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3142]) ).
thf(3167,plain,
! [SV280: $i,SV264: $i,SV181: $i,SV294: $i] :
( ( ( aNaturalNumber0 @ SV294 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV264 )
= ( sdtasdt0 @ SV280 @ SV294 ) )
= $false )
| ( ( isPrime0 @ SV280 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3143]) ).
thf(3168,plain,
! [SV281: $i,SV265: $i,SV181: $i,SV295: $i] :
( ( ( aNaturalNumber0 @ SV295 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV265 )
= ( sdtasdt0 @ SV281 @ SV295 ) )
= $false )
| ( ( isPrime0 @ SV281 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true )
| ( ( aNaturalNumber0 @ SV265 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV281 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3144]) ).
thf(3169,plain,
! [SV266: $i,SV282: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3145]) ).
thf(3170,plain,
! [SV267: $i,SV283: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) ) )
= $true )
| ( ( doDivides0 @ SV283 @ SV267 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV283 )
= $false )
| ( ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
= $false )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3146]) ).
thf(3171,plain,
! [SV268: $i,SV181: $i,SV284: $i] :
( ( ( doDivides0 @ SV284 @ SV181 )
= $true )
| ( ( ~ ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV284 )
= $false )
| ( ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
= $false )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3147]) ).
thf(3172,plain,
! [SV269: $i,SV181: $i,SV285: $i] :
( ( ( doDivides0 @ SV285 @ SV181 )
= $true )
| ( ( doDivides0 @ SV285 @ SV269 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SV285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV285 )
= $false )
| ( ( doDivides0 @ SV285 @ ( sdtasdt0 @ SV181 @ SV269 ) )
= $false )
| ( ( aNaturalNumber0 @ SV269 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV285 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3148]) ).
thf(3173,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3149]) ).
thf(3174,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3149]) ).
thf(3175,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3150]) ).
thf(3176,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3150]) ).
thf(3177,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3151]) ).
thf(3178,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3151]) ).
thf(3179,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3152]) ).
thf(3180,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3152]) ).
thf(3181,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3153]) ).
thf(3182,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3153]) ).
thf(3183,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3154]) ).
thf(3184,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3154]) ).
thf(3185,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3155]) ).
thf(3186,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3155]) ).
thf(3187,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3156]) ).
thf(3188,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3156]) ).
thf(3189,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3157]) ).
thf(3190,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3157]) ).
thf(3191,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) ) )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3158]) ).
thf(3192,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) ) )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3158]) ).
thf(3193,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) ) )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3159]) ).
thf(3194,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3159]) ).
thf(3195,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) ) )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3160]) ).
thf(3196,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) ) )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3160]) ).
thf(3197,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3161]) ).
thf(3198,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3161]) ).
thf(3199,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) ) )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3162]) ).
thf(3200,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) ) )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3162]) ).
thf(3201,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) ) )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3163]) ).
thf(3202,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3163]) ).
thf(3203,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) ) )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3164]) ).
thf(3204,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) ) )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3164]) ).
thf(3205,plain,
! [SV292: $i,SV278: $i,SV262: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3165]) ).
thf(3206,plain,
! [SV293: $i,SV279: $i,SV263: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( isPrime0 @ SV279 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV263 )
= ( sdtasdt0 @ SV279 @ SV293 ) )
= $false )
| ( ( aNaturalNumber0 @ SV293 )
= $false )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3166]) ).
thf(3207,plain,
! [SV294: $i,SV280: $i,SV264: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( isPrime0 @ SV280 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV264 )
= ( sdtasdt0 @ SV280 @ SV294 ) )
= $false )
| ( ( aNaturalNumber0 @ SV294 )
= $false )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3167]) ).
thf(3208,plain,
! [SV295: $i,SV281: $i,SV265: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true )
| ( ( isPrime0 @ SV281 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV265 )
= ( sdtasdt0 @ SV281 @ SV295 ) )
= $false )
| ( ( aNaturalNumber0 @ SV295 )
= $false )
| ( ( aNaturalNumber0 @ SV265 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV281 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3168]) ).
thf(3209,plain,
! [SV266: $i,SV282: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3169]) ).
thf(3210,plain,
! [SV267: $i,SV283: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV283 @ SV267 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV283 )
= $false )
| ( ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
= $false )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3170]) ).
thf(3211,plain,
! [SV181: $i,SV284: $i,SV268: $i] :
( ( ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV284 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV284 )
= $false )
| ( ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
= $false )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3171]) ).
thf(3212,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3173]) ).
thf(3213,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3174]) ).
thf(3214,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3175]) ).
thf(3215,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3176]) ).
thf(3216,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3177]) ).
thf(3217,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3178]) ).
thf(3218,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3179]) ).
thf(3219,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3180]) ).
thf(3220,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3181]) ).
thf(3221,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3182]) ).
thf(3222,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3183]) ).
thf(3223,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3184]) ).
thf(3224,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3185]) ).
thf(3225,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3186]) ).
thf(3226,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3187]) ).
thf(3227,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3188]) ).
thf(3228,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3189]) ).
thf(3229,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3190]) ).
thf(3230,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
= $true )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3191]) ).
thf(3231,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
!= SV274 ) )
= $true )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3192]) ).
thf(3232,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) ) )
= $true )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3193]) ).
thf(3233,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 )
= $true )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3194]) ).
thf(3234,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
= $true )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3195]) ).
thf(3235,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
!= SV275 ) )
= $true )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3196]) ).
thf(3236,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3197]) ).
thf(3237,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 )
= $true )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3198]) ).
thf(3238,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
= $true )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3199]) ).
thf(3239,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
!= SV276 ) )
= $true )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3200]) ).
thf(3240,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) ) )
= $true )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3201]) ).
thf(3241,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 )
= $true )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3202]) ).
thf(3242,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
= $true )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3203]) ).
thf(3243,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
!= SV277 ) )
= $true )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3204]) ).
thf(3244,plain,
! [SV292: $i,SV278: $i,SV262: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3205]) ).
thf(3245,plain,
! [SV293: $i,SV279: $i,SV263: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( isPrime0 @ SV279 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV263 )
= ( sdtasdt0 @ SV279 @ SV293 ) )
= $false )
| ( ( aNaturalNumber0 @ SV293 )
= $false )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3206]) ).
thf(3246,plain,
! [SV294: $i,SV280: $i,SV264: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( isPrime0 @ SV280 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV264 )
= ( sdtasdt0 @ SV280 @ SV294 ) )
= $false )
| ( ( aNaturalNumber0 @ SV294 )
= $false )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3207]) ).
thf(3247,plain,
! [SV295: $i,SV281: $i,SV265: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true )
| ( ( isPrime0 @ SV281 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV265 )
= ( sdtasdt0 @ SV281 @ SV295 ) )
= $false )
| ( ( aNaturalNumber0 @ SV295 )
= $false )
| ( ( aNaturalNumber0 @ SV265 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV281 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3208]) ).
thf(3248,plain,
! [SV266: $i,SV282: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3209]) ).
thf(3249,plain,
! [SV181: $i,SV266: $i,SV282: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3209]) ).
thf(3250,plain,
! [SV267: $i,SV283: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV283 @ SV267 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV283 )
= $false )
| ( ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
= $false )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3210]) ).
thf(3251,plain,
! [SV181: $i,SV267: $i,SV283: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV283 @ SV267 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV283 )
= $false )
| ( ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
= $false )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3210]) ).
thf(3252,plain,
! [SV181: $i,SV284: $i,SV268: $i] :
( ( ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV284 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV284 )
= $false )
| ( ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
= $false )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3211]) ).
thf(3253,plain,
! [SV181: $i,SV268: $i,SV284: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV284 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV284 )
= $false )
| ( ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
= $false )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3211]) ).
thf(3254,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3212]) ).
thf(3255,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3213]) ).
thf(3256,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3214]) ).
thf(3257,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3215]) ).
thf(3258,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3216]) ).
thf(3259,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3217]) ).
thf(3260,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3218]) ).
thf(3261,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3219]) ).
thf(3262,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3220]) ).
thf(3263,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3221]) ).
thf(3264,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3222]) ).
thf(3265,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3223]) ).
thf(3266,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3224]) ).
thf(3267,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3225]) ).
thf(3268,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= sz10 )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3226]) ).
thf(3269,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= SV273 )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3227]) ).
thf(3270,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3228]) ).
thf(3271,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3229]) ).
thf(3272,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3230]) ).
thf(3273,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3231]) ).
thf(3274,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3232]) ).
thf(3275,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3233]) ).
thf(3276,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= sz10 )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3234]) ).
thf(3277,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= SV275 )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3235]) ).
thf(3278,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3236]) ).
thf(3279,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3237]) ).
thf(3280,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= sz10 )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3238]) ).
thf(3281,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= SV276 )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3239]) ).
thf(3282,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3240]) ).
thf(3283,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3241]) ).
thf(3284,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
= sz10 )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3242]) ).
thf(3285,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
= SV277 )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3243]) ).
thf(3286,plain,
! [SV292: $i,SV262: $i,SV278: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3244]) ).
thf(3287,plain,
! [SV293: $i,SV263: $i,SV279: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) ) )
= $true )
| ( ( doDivides0 @ SV279 @ SV263 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV279 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV263 )
= ( sdtasdt0 @ SV279 @ SV293 ) )
= $false )
| ( ( aNaturalNumber0 @ SV293 )
= $false )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3245]) ).
thf(3288,plain,
! [SV294: $i,SV264: $i,SV181: $i,SV280: $i] :
( ( ( doDivides0 @ SV280 @ SV181 )
= $true )
| ( ( ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV280 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV264 )
= ( sdtasdt0 @ SV280 @ SV294 ) )
= $false )
| ( ( aNaturalNumber0 @ SV294 )
= $false )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3246]) ).
thf(3289,plain,
! [SV295: $i,SV265: $i,SV181: $i,SV281: $i] :
( ( ( doDivides0 @ SV281 @ SV181 )
= $true )
| ( ( doDivides0 @ SV281 @ SV265 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV281 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV265 )
= ( sdtasdt0 @ SV281 @ SV295 ) )
= $false )
| ( ( aNaturalNumber0 @ SV295 )
= $false )
| ( ( aNaturalNumber0 @ SV265 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV281 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3247]) ).
thf(3290,plain,
! [SV266: $i,SV282: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3248]) ).
thf(3291,plain,
! [SV181: $i,SV266: $i,SV282: $i] :
( ( ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3249]) ).
thf(3292,plain,
! [SV267: $i,SV283: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV283 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV283 @ SV267 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV283 )
= $false )
| ( ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
= $false )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3250]) ).
thf(3293,plain,
! [SV181: $i,SV267: $i,SV283: $i] :
( ( ( aNaturalNumber0 @ ( sK10_W3 @ SV283 @ SV267 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV283 @ SV267 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV283 )
= $false )
| ( ( doDivides0 @ SV283 @ ( sdtasdt0 @ SV181 @ SV267 ) )
= $false )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3251]) ).
thf(3294,plain,
! [SV181: $i,SV284: $i,SV268: $i] :
( ( ( SV268
= ( sdtasdt0 @ SV284 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV284 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV284 )
= $false )
| ( ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
= $false )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3252]) ).
thf(3295,plain,
! [SV181: $i,SV268: $i,SV284: $i] :
( ( ( aNaturalNumber0 @ ( sK9_W3 @ SV284 @ SV268 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV284 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SV284 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV284 )
= $false )
| ( ( doDivides0 @ SV284 @ ( sdtasdt0 @ SV181 @ SV268 ) )
= $false )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3253]) ).
thf(3296,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3254]) ).
thf(3297,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3254]) ).
thf(3298,plain,
! [SV296: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV296 ) )
| ~ ( aNaturalNumber0 @ SV296 ) )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3255]) ).
thf(3299,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3256]) ).
thf(3300,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3257]) ).
thf(3301,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3258]) ).
thf(3302,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3258]) ).
thf(3303,plain,
! [SV297: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV297 ) )
| ~ ( aNaturalNumber0 @ SV297 ) )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3259]) ).
thf(3304,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3260]) ).
thf(3305,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3261]) ).
thf(3306,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3262]) ).
thf(3307,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3262]) ).
thf(3308,plain,
! [SV298: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV298 ) )
| ~ ( aNaturalNumber0 @ SV298 ) )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3263]) ).
thf(3309,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3264]) ).
thf(3310,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3265]) ).
thf(3311,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3266]) ).
thf(3312,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3266]) ).
thf(3313,plain,
! [SV299: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV299 ) )
| ~ ( aNaturalNumber0 @ SV299 ) )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3267]) ).
thf(3314,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= sz10 )
= $false )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3268]) ).
thf(3315,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= SV273 )
= $false )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3269]) ).
thf(3316,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3270]) ).
thf(3317,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3270]) ).
thf(3318,plain,
! [SV258: $i,SV181: $i,SV274: $i] :
( ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3271]) ).
thf(3319,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3272]) ).
thf(3320,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3273]) ).
thf(3321,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) ) )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3274]) ).
thf(3322,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3274]) ).
thf(3323,plain,
! [SV259: $i,SV181: $i,SV275: $i] :
( ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3275]) ).
thf(3324,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3276]) ).
thf(3325,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= SV275 )
= $false )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3277]) ).
thf(3326,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) ) )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3278]) ).
thf(3327,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3278]) ).
thf(3328,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3279]) ).
thf(3329,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3280]) ).
thf(3330,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= SV276 )
= $false )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3281]) ).
thf(3331,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) ) )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3282]) ).
thf(3332,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) ) )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3282]) ).
thf(3333,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3283]) ).
thf(3334,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3284]) ).
thf(3335,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
= SV277 )
= $false )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3285]) ).
thf(3336,plain,
! [SV292: $i,SV262: $i,SV278: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3286]) ).
thf(3337,plain,
! [SV293: $i,SV263: $i,SV279: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV279 @ SV263 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV279 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV263 )
= ( sdtasdt0 @ SV279 @ SV293 ) )
= $false )
| ( ( aNaturalNumber0 @ SV293 )
= $false )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3287]) ).
thf(3338,plain,
! [SV294: $i,SV181: $i,SV280: $i,SV264: $i] :
( ( ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV280 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV280 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV264 )
= ( sdtasdt0 @ SV280 @ SV294 ) )
= $false )
| ( ( aNaturalNumber0 @ SV294 )
= $false )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3288]) ).
thf(3339,plain,
! [SV181: $i,SV282: $i,SV266: $i] :
( ( ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3290]) ).
thf(3340,plain,
! [SV181: $i,SV282: $i,SV266: $i] :
( ( ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3291]) ).
thf(3341,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3296]) ).
thf(3342,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3297]) ).
thf(3343,plain,
! [SV296: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV296 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV296 ) )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3298]) ).
thf(3344,plain,
! [SV300: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV300 ) )
| ~ ( aNaturalNumber0 @ SV300 ) )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3299]) ).
thf(3345,plain,
! [SV301: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV301 ) )
| ~ ( aNaturalNumber0 @ SV301 ) )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3300]) ).
thf(3346,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3301]) ).
thf(3347,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3302]) ).
thf(3348,plain,
! [SV297: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV297 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV297 ) )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3303]) ).
thf(3349,plain,
! [SV302: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV302 ) )
| ~ ( aNaturalNumber0 @ SV302 ) )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3304]) ).
thf(3350,plain,
! [SV303: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV303 ) )
| ~ ( aNaturalNumber0 @ SV303 ) )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3305]) ).
thf(3351,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3306]) ).
thf(3352,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3307]) ).
thf(3353,plain,
! [SV298: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV298 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV298 ) )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3308]) ).
thf(3354,plain,
! [SV304: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV304 ) )
| ~ ( aNaturalNumber0 @ SV304 ) )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3309]) ).
thf(3355,plain,
! [SV305: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV305 ) )
| ~ ( aNaturalNumber0 @ SV305 ) )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3310]) ).
thf(3356,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3311]) ).
thf(3357,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3312]) ).
thf(3358,plain,
! [SV299: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV299 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV299 ) )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3313]) ).
thf(3359,plain,
! [SV306: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV306 ) )
| ~ ( aNaturalNumber0 @ SV306 ) )
= $true )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= sz10 )
= $false )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3314]) ).
thf(3360,plain,
! [SV307: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV307 ) )
| ~ ( aNaturalNumber0 @ SV307 ) )
= $true )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= SV273 )
= $false )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3315]) ).
thf(3361,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3316]) ).
thf(3362,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3317]) ).
thf(3363,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3318]) ).
thf(3364,plain,
! [SV258: $i,SV181: $i,SV274: $i] :
( ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3319]) ).
thf(3365,plain,
! [SV258: $i,SV181: $i,SV274: $i] :
( ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3320]) ).
thf(3366,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) ) )
= $true )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3321]) ).
thf(3367,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3322]) ).
thf(3368,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3323]) ).
thf(3369,plain,
! [SV259: $i,SV181: $i,SV275: $i] :
( ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= sz10 )
= $false )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3324]) ).
thf(3370,plain,
! [SV259: $i,SV181: $i,SV275: $i] :
( ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= SV275 )
= $false )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3325]) ).
thf(3371,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3326]) ).
thf(3372,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3327]) ).
thf(3373,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3328]) ).
thf(3374,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= sz10 )
= $false )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3329]) ).
thf(3375,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= SV276 )
= $false )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3330]) ).
thf(3376,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) ) )
= $true )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3331]) ).
thf(3377,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) )
= $true )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3332]) ).
thf(3378,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 )
= $true )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3333]) ).
thf(3379,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
= sz10 )
= $false )
| ( ( SV277 = sz10 )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3334]) ).
thf(3380,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
= SV277 )
= $false )
| ( ( SV277 = sz10 )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3335]) ).
thf(3381,plain,
! [SV292: $i,SV262: $i,SV278: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3336]) ).
thf(3382,plain,
! [SV292: $i,SV181: $i,SV262: $i,SV278: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3336]) ).
thf(3383,plain,
! [SV293: $i,SV263: $i,SV279: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV279 @ SV263 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV279 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV263 )
= ( sdtasdt0 @ SV279 @ SV293 ) )
= $false )
| ( ( aNaturalNumber0 @ SV293 )
= $false )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3337]) ).
thf(3384,plain,
! [SV293: $i,SV181: $i,SV263: $i,SV279: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV279 @ SV263 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV279 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV263 )
= ( sdtasdt0 @ SV279 @ SV293 ) )
= $false )
| ( ( aNaturalNumber0 @ SV293 )
= $false )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3337]) ).
thf(3385,plain,
! [SV294: $i,SV181: $i,SV280: $i,SV264: $i] :
( ( ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV280 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV280 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV264 )
= ( sdtasdt0 @ SV280 @ SV294 ) )
= $false )
| ( ( aNaturalNumber0 @ SV294 )
= $false )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3338]) ).
thf(3386,plain,
! [SV294: $i,SV181: $i,SV264: $i,SV280: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV280 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV280 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV264 )
= ( sdtasdt0 @ SV280 @ SV294 ) )
= $false )
| ( ( aNaturalNumber0 @ SV294 )
= $false )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3338]) ).
thf(3387,plain,
! [SV181: $i,SV282: $i,SV266: $i] :
( ( ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3339]) ).
thf(3388,plain,
! [SV181: $i,SV266: $i,SV282: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3339]) ).
thf(3389,plain,
! [SV181: $i,SV282: $i,SV266: $i] :
( ( ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3340]) ).
thf(3390,plain,
! [SV181: $i,SV266: $i,SV282: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3340]) ).
thf(3391,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3341]) ).
thf(3392,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3342]) ).
thf(3393,plain,
! [SV296: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV296 ) )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3343]) ).
thf(3394,plain,
! [SV300: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV300 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV300 ) )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3344]) ).
thf(3395,plain,
! [SV301: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV301 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV301 ) )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3345]) ).
thf(3396,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3346]) ).
thf(3397,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3347]) ).
thf(3398,plain,
! [SV297: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV297 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV297 ) )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3348]) ).
thf(3399,plain,
! [SV302: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV302 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV302 ) )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3349]) ).
thf(3400,plain,
! [SV303: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV303 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV303 ) )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3350]) ).
thf(3401,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3351]) ).
thf(3402,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3352]) ).
thf(3403,plain,
! [SV298: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV298 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV298 ) )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3353]) ).
thf(3404,plain,
! [SV304: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV304 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV304 ) )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3354]) ).
thf(3405,plain,
! [SV305: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV305 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV305 ) )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3355]) ).
thf(3406,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3356]) ).
thf(3407,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3357]) ).
thf(3408,plain,
! [SV299: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV299 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV299 ) )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3358]) ).
thf(3409,plain,
! [SV306: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV306 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV306 ) )
= $true )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= sz10 )
= $false )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3359]) ).
thf(3410,plain,
! [SV307: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV307 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV307 ) )
= $true )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= SV273 )
= $false )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3360]) ).
thf(3411,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3361]) ).
thf(3412,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3362]) ).
thf(3413,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3363]) ).
thf(3414,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3364]) ).
thf(3415,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3365]) ).
thf(3416,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3366]) ).
thf(3417,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3367]) ).
thf(3418,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3368]) ).
thf(3419,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3369]) ).
thf(3420,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= SV275 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3370]) ).
thf(3421,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3371]) ).
thf(3422,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3372]) ).
thf(3423,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3373]) ).
thf(3424,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3374]) ).
thf(3425,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= SV276 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3375]) ).
thf(3426,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3376]) ).
thf(3427,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3377]) ).
thf(3428,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 )
= $true )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3378]) ).
thf(3429,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3379]) ).
thf(3430,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
= SV277 )
= $false )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3380]) ).
thf(3431,plain,
! [SV292: $i,SV262: $i,SV278: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3381]) ).
thf(3432,plain,
! [SV292: $i,SV181: $i,SV262: $i,SV278: $i] :
( ( ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3382]) ).
thf(3433,plain,
! [SV293: $i,SV263: $i,SV279: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV279 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV279 @ SV263 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV279 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV263 )
= ( sdtasdt0 @ SV279 @ SV293 ) )
= $false )
| ( ( aNaturalNumber0 @ SV293 )
= $false )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3383]) ).
thf(3434,plain,
! [SV293: $i,SV181: $i,SV263: $i,SV279: $i] :
( ( ( aNaturalNumber0 @ ( sK14_W3 @ SV279 @ SV263 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV279 @ SV263 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV279 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV263 )
= ( sdtasdt0 @ SV279 @ SV293 ) )
= $false )
| ( ( aNaturalNumber0 @ SV293 )
= $false )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3384]) ).
thf(3435,plain,
! [SV294: $i,SV181: $i,SV280: $i,SV264: $i] :
( ( ( SV264
= ( sdtasdt0 @ SV280 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV280 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV280 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV264 )
= ( sdtasdt0 @ SV280 @ SV294 ) )
= $false )
| ( ( aNaturalNumber0 @ SV294 )
= $false )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3385]) ).
thf(3436,plain,
! [SV294: $i,SV181: $i,SV264: $i,SV280: $i] :
( ( ( aNaturalNumber0 @ ( sK13_W3 @ SV280 @ SV264 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV280 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV280 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV264 )
= ( sdtasdt0 @ SV280 @ SV294 ) )
= $false )
| ( ( aNaturalNumber0 @ SV294 )
= $false )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3386]) ).
thf(3437,plain,
! [SV181: $i,SV282: $i,SV266: $i] :
( ( ( SV266
= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3387]) ).
thf(3438,plain,
! [SV181: $i,SV266: $i,SV282: $i] :
( ( ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV282 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3388]) ).
thf(3439,plain,
! [SV181: $i,SV282: $i,SV266: $i] :
( ( ( SV266
= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3389]) ).
thf(3440,plain,
! [SV181: $i,SV266: $i,SV282: $i] :
( ( ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV282 @ SV266 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV282 )
= $false )
| ( ( doDivides0 @ SV282 @ ( sdtasdt0 @ SV181 @ SV266 ) )
= $false )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3390]) ).
thf(3441,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ( SV270
!= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3391]) ).
thf(3442,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3391]) ).
thf(3443,plain,
! [SV308: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV308 ) )
| ~ ( aNaturalNumber0 @ SV308 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3392]) ).
thf(3444,plain,
! [SV270: $i,SV254: $i,SV181: $i,SV296: $i] :
( ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3393]) ).
thf(3445,plain,
! [SV300: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV300 ) )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3394]) ).
thf(3446,plain,
! [SV301: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV301 ) )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3395]) ).
thf(3447,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ( SV271
!= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3396]) ).
thf(3448,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3396]) ).
thf(3449,plain,
! [SV309: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV309 ) )
| ~ ( aNaturalNumber0 @ SV309 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3397]) ).
thf(3450,plain,
! [SV271: $i,SV255: $i,SV181: $i,SV297: $i] :
( ( ( aNaturalNumber0 @ SV297 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV297 ) )
= $false )
| ( ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3398]) ).
thf(3451,plain,
! [SV302: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV302 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV302 ) )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3399]) ).
thf(3452,plain,
! [SV303: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV303 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV303 ) )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3400]) ).
thf(3453,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ( SV272
!= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3401]) ).
thf(3454,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3401]) ).
thf(3455,plain,
! [SV310: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV310 ) )
| ~ ( aNaturalNumber0 @ SV310 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3402]) ).
thf(3456,plain,
! [SV272: $i,SV256: $i,SV181: $i,SV298: $i] :
( ( ( aNaturalNumber0 @ SV298 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV298 ) )
= $false )
| ( ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3403]) ).
thf(3457,plain,
! [SV304: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV304 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV304 ) )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3404]) ).
thf(3458,plain,
! [SV305: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV305 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV305 ) )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3405]) ).
thf(3459,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ( SV273
!= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3406]) ).
thf(3460,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3406]) ).
thf(3461,plain,
! [SV311: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV311 ) )
| ~ ( aNaturalNumber0 @ SV311 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3407]) ).
thf(3462,plain,
! [SV273: $i,SV257: $i,SV181: $i,SV299: $i] :
( ( ( aNaturalNumber0 @ SV299 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV299 ) )
= $false )
| ( ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3408]) ).
thf(3463,plain,
! [SV306: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV306 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV306 ) )
= $true )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= sz10 )
= $false )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3409]) ).
thf(3464,plain,
! [SV307: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV307 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV307 ) )
= $true )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= SV273 )
= $false )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3410]) ).
thf(3465,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ( SV274
!= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3411]) ).
thf(3466,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3411]) ).
thf(3467,plain,
! [SV258: $i,SV181: $i,SV274: $i] :
( ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3412]) ).
thf(3468,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3413]) ).
thf(3469,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3414]) ).
thf(3470,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3415]) ).
thf(3471,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ( SV275
!= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) ) )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3416]) ).
thf(3472,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3416]) ).
thf(3473,plain,
! [SV259: $i,SV181: $i,SV275: $i] :
( ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3417]) ).
thf(3474,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3418]) ).
thf(3475,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3419]) ).
thf(3476,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= SV275 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3420]) ).
thf(3477,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ( SV276
!= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) ) )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3421]) ).
thf(3478,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3421]) ).
thf(3479,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3422]) ).
thf(3480,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3423]) ).
thf(3481,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3424]) ).
thf(3482,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= SV276 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3425]) ).
thf(3483,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ( SV277
!= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) ) )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3426]) ).
thf(3484,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
= $false )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3426]) ).
thf(3485,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3427]) ).
thf(3486,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ SV181 )
= $true )
| ( ( doDivides0 @ SV277 @ SV261 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 )
= $true )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3428]) ).
thf(3487,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3429]) ).
thf(3488,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
= SV277 )
= $false )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3430]) ).
thf(3489,plain,
! [SV292: $i,SV181: $i,SV278: $i,SV262: $i] :
( ( ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3431]) ).
thf(3490,plain,
! [SV292: $i,SV181: $i,SV278: $i,SV262: $i] :
( ( ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3432]) ).
thf(3491,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3441]) ).
thf(3492,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3442]) ).
thf(3493,plain,
! [SV308: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV308 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV308 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3443]) ).
thf(3494,plain,
! [SV296: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3444]) ).
thf(3495,plain,
! [SV270: $i,SV254: $i,SV181: $i,SV300: $i] :
( ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3445]) ).
thf(3496,plain,
! [SV270: $i,SV254: $i,SV181: $i,SV301: $i] :
( ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3446]) ).
thf(3497,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( SV271
= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3447]) ).
thf(3498,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3448]) ).
thf(3499,plain,
! [SV309: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV309 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV309 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3449]) ).
thf(3500,plain,
! [SV297: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV297 ) )
= $false )
| ( ( aNaturalNumber0 @ SV297 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3450]) ).
thf(3501,plain,
! [SV271: $i,SV255: $i,SV181: $i,SV302: $i] :
( ( ( aNaturalNumber0 @ SV302 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV302 ) )
= $false )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3451]) ).
thf(3502,plain,
! [SV271: $i,SV255: $i,SV181: $i,SV303: $i] :
( ( ( aNaturalNumber0 @ SV303 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV303 ) )
= $false )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3452]) ).
thf(3503,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( SV272
= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3453]) ).
thf(3504,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3454]) ).
thf(3505,plain,
! [SV310: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV310 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV310 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3455]) ).
thf(3506,plain,
! [SV298: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV298 ) )
= $false )
| ( ( aNaturalNumber0 @ SV298 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3456]) ).
thf(3507,plain,
! [SV272: $i,SV256: $i,SV181: $i,SV304: $i] :
( ( ( aNaturalNumber0 @ SV304 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV304 ) )
= $false )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3457]) ).
thf(3508,plain,
! [SV272: $i,SV256: $i,SV181: $i,SV305: $i] :
( ( ( aNaturalNumber0 @ SV305 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV305 ) )
= $false )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3458]) ).
thf(3509,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( SV273
= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3459]) ).
thf(3510,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3460]) ).
thf(3511,plain,
! [SV311: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV311 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV311 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3461]) ).
thf(3512,plain,
! [SV299: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV299 ) )
= $false )
| ( ( aNaturalNumber0 @ SV299 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3462]) ).
thf(3513,plain,
! [SV273: $i,SV257: $i,SV181: $i,SV306: $i] :
( ( ( aNaturalNumber0 @ SV306 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV306 ) )
= $false )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= sz10 )
= $false )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3463]) ).
thf(3514,plain,
! [SV273: $i,SV257: $i,SV181: $i,SV307: $i] :
( ( ( aNaturalNumber0 @ SV307 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV307 ) )
= $false )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= SV273 )
= $false )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3464]) ).
thf(3515,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3465]) ).
thf(3516,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ( SV274 = sz00 )
| ( SV274 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3466]) ).
thf(3517,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3467]) ).
thf(3518,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3468]) ).
thf(3519,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3469]) ).
thf(3520,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3470]) ).
thf(3521,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( SV275
= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3471]) ).
thf(3522,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( ( SV275 = sz00 )
| ( SV275 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3472]) ).
thf(3523,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3473]) ).
thf(3524,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3474]) ).
thf(3525,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3475]) ).
thf(3526,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= SV275 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3476]) ).
thf(3527,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( SV276
= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3477]) ).
thf(3528,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( ( SV276 = sz00 )
| ( SV276 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3478]) ).
thf(3529,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3479]) ).
thf(3530,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3480]) ).
thf(3531,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3481]) ).
thf(3532,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= SV276 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3482]) ).
thf(3533,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( SV277
= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
= $true )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3483]) ).
thf(3534,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) )
= $true )
| ( ( ( SV277 = sz00 )
| ( SV277 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3484]) ).
thf(3535,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3485]) ).
thf(3536,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ SV181 )
= $true )
| ( ( doDivides0 @ SV277 @ SV261 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3487]) ).
thf(3537,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ SV181 )
= $true )
| ( ( doDivides0 @ SV277 @ SV261 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV277 @ SV261 @ SV181 )
= SV277 )
= $false )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3488]) ).
thf(3538,plain,
! [SV292: $i,SV181: $i,SV278: $i,SV262: $i] :
( ( ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3489]) ).
thf(3539,plain,
! [SV292: $i,SV181: $i,SV262: $i,SV278: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3489]) ).
thf(3540,plain,
! [SV292: $i,SV181: $i,SV278: $i,SV262: $i] :
( ( ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3490]) ).
thf(3541,plain,
! [SV292: $i,SV181: $i,SV262: $i,SV278: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3490]) ).
thf(3542,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3491]) ).
thf(3543,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3492]) ).
thf(3544,plain,
! [SV308: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV308 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3493]) ).
thf(3545,plain,
! [SV296: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3494]) ).
thf(3546,plain,
! [SV300: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3495]) ).
thf(3547,plain,
! [SV301: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3496]) ).
thf(3548,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3497]) ).
thf(3549,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3498]) ).
thf(3550,plain,
! [SV309: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV309 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV309 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3499]) ).
thf(3551,plain,
! [SV297: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV297 ) )
= $false )
| ( ( aNaturalNumber0 @ SV297 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3500]) ).
thf(3552,plain,
! [SV302: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV302 ) )
= $false )
| ( ( aNaturalNumber0 @ SV302 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3501]) ).
thf(3553,plain,
! [SV303: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV303 ) )
= $false )
| ( ( aNaturalNumber0 @ SV303 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3502]) ).
thf(3554,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3503]) ).
thf(3555,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3504]) ).
thf(3556,plain,
! [SV310: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV310 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV310 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3505]) ).
thf(3557,plain,
! [SV298: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV298 ) )
= $false )
| ( ( aNaturalNumber0 @ SV298 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3506]) ).
thf(3558,plain,
! [SV304: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV304 ) )
= $false )
| ( ( aNaturalNumber0 @ SV304 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3507]) ).
thf(3559,plain,
! [SV305: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV305 ) )
= $false )
| ( ( aNaturalNumber0 @ SV305 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3508]) ).
thf(3560,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273
= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3509]) ).
thf(3561,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3510]) ).
thf(3562,plain,
! [SV311: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV311 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV311 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3511]) ).
thf(3563,plain,
! [SV299: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV299 ) )
= $false )
| ( ( aNaturalNumber0 @ SV299 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3512]) ).
thf(3564,plain,
! [SV306: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV306 ) )
= $false )
| ( ( aNaturalNumber0 @ SV306 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3513]) ).
thf(3565,plain,
! [SV307: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= SV273 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV307 ) )
= $false )
| ( ( aNaturalNumber0 @ SV307 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3514]) ).
thf(3566,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3515]) ).
thf(3567,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3516]) ).
thf(3568,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3517]) ).
thf(3569,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3518]) ).
thf(3570,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3518]) ).
thf(3571,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3519]) ).
thf(3572,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3520]) ).
thf(3573,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275
= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3521]) ).
thf(3574,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3522]) ).
thf(3575,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3523]) ).
thf(3576,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3524]) ).
thf(3577,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3524]) ).
thf(3578,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3525]) ).
thf(3579,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= SV275 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3526]) ).
thf(3580,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276
= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3527]) ).
thf(3581,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3528]) ).
thf(3582,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3529]) ).
thf(3583,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3530]) ).
thf(3584,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3530]) ).
thf(3585,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3531]) ).
thf(3586,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= SV276 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3532]) ).
thf(3587,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( SV277
= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3533]) ).
thf(3588,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3534]) ).
thf(3589,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3535]) ).
thf(3590,plain,
! [SV292: $i,SV181: $i,SV278: $i,SV262: $i] :
( ( ( SV262
= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3538]) ).
thf(3591,plain,
! [SV292: $i,SV181: $i,SV262: $i,SV278: $i] :
( ( ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV278 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3539]) ).
thf(3592,plain,
! [SV292: $i,SV181: $i,SV278: $i,SV262: $i] :
( ( ( SV262
= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3540]) ).
thf(3593,plain,
! [SV292: $i,SV181: $i,SV262: $i,SV278: $i] :
( ( ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV278 @ SV262 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV278 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV262 )
= ( sdtasdt0 @ SV278 @ SV292 ) )
= $false )
| ( ( aNaturalNumber0 @ SV292 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3541]) ).
thf(3594,plain,
! [SV312: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV312 ) )
| ~ ( aNaturalNumber0 @ SV312 ) )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3542]) ).
thf(3595,plain,
! [SV313: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV313 ) )
| ~ ( aNaturalNumber0 @ SV313 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3543]) ).
thf(3596,plain,
! [SV270: $i,SV254: $i,SV181: $i,SV308: $i] :
( ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3544]) ).
thf(3597,plain,
! [SV296: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3545]) ).
thf(3598,plain,
! [SV300: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3546]) ).
thf(3599,plain,
! [SV301: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3547]) ).
thf(3600,plain,
! [SV314: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV314 ) )
| ~ ( aNaturalNumber0 @ SV314 ) )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3548]) ).
thf(3601,plain,
! [SV315: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV315 ) )
| ~ ( aNaturalNumber0 @ SV315 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3549]) ).
thf(3602,plain,
! [SV271: $i,SV255: $i,SV181: $i,SV309: $i] :
( ( ( aNaturalNumber0 @ SV309 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV309 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3550]) ).
thf(3603,plain,
! [SV297: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV297 ) )
= $false )
| ( ( aNaturalNumber0 @ SV297 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3551]) ).
thf(3604,plain,
! [SV302: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV302 ) )
= $false )
| ( ( aNaturalNumber0 @ SV302 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3552]) ).
thf(3605,plain,
! [SV303: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV303 ) )
= $false )
| ( ( aNaturalNumber0 @ SV303 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3553]) ).
thf(3606,plain,
! [SV316: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV316 ) )
| ~ ( aNaturalNumber0 @ SV316 ) )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3554]) ).
thf(3607,plain,
! [SV317: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV317 ) )
| ~ ( aNaturalNumber0 @ SV317 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3555]) ).
thf(3608,plain,
! [SV272: $i,SV256: $i,SV181: $i,SV310: $i] :
( ( ( aNaturalNumber0 @ SV310 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV310 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3556]) ).
thf(3609,plain,
! [SV298: $i,SV256: $i,SV181: $i,SV272: $i] :
( ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV298 ) )
= $false )
| ( ( aNaturalNumber0 @ SV298 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3557]) ).
thf(3610,plain,
! [SV304: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV304 ) )
= $false )
| ( ( aNaturalNumber0 @ SV304 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3558]) ).
thf(3611,plain,
! [SV305: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV305 ) )
= $false )
| ( ( aNaturalNumber0 @ SV305 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3559]) ).
thf(3612,plain,
! [SV318: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV318 ) )
| ~ ( aNaturalNumber0 @ SV318 ) )
= $true )
| ( ( SV273
= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3560]) ).
thf(3613,plain,
! [SV319: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV319 ) )
| ~ ( aNaturalNumber0 @ SV319 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3561]) ).
thf(3614,plain,
! [SV273: $i,SV257: $i,SV181: $i,SV311: $i] :
( ( ( aNaturalNumber0 @ SV311 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV311 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3562]) ).
thf(3615,plain,
! [SV299: $i,SV257: $i,SV181: $i,SV273: $i] :
( ( ( doDivides0 @ SV273 @ SV181 )
= $true )
| ( ( doDivides0 @ SV273 @ SV257 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV299 ) )
= $false )
| ( ( aNaturalNumber0 @ SV299 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3563]) ).
thf(3616,plain,
! [SV306: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV306 ) )
= $false )
| ( ( aNaturalNumber0 @ SV306 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3564]) ).
thf(3617,plain,
! [SV307: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= SV273 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV307 ) )
= $false )
| ( ( aNaturalNumber0 @ SV307 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3565]) ).
thf(3618,plain,
! [SV258: $i,SV181: $i,SV274: $i] :
( ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3566]) ).
thf(3619,plain,
! [SV258: $i,SV181: $i,SV274: $i] :
( ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3567]) ).
thf(3620,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3568]) ).
thf(3621,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3569]) ).
thf(3622,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3570]) ).
thf(3623,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3571]) ).
thf(3624,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3571]) ).
thf(3625,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3572]) ).
thf(3626,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3572]) ).
thf(3627,plain,
! [SV259: $i,SV181: $i,SV275: $i] :
( ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( SV275
= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3573]) ).
thf(3628,plain,
! [SV259: $i,SV181: $i,SV275: $i] :
( ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3574]) ).
thf(3629,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3575]) ).
thf(3630,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3576]) ).
thf(3631,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3577]) ).
thf(3632,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3578]) ).
thf(3633,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3578]) ).
thf(3634,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= SV275 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3579]) ).
thf(3635,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= SV275 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3579]) ).
thf(3636,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( SV276
= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3580]) ).
thf(3637,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3581]) ).
thf(3638,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3582]) ).
thf(3639,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( SV260
= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3583]) ).
thf(3640,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3584]) ).
thf(3641,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3585]) ).
thf(3642,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3585]) ).
thf(3643,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= SV276 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3586]) ).
thf(3644,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= SV276 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3586]) ).
thf(3645,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( SV277
= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3587]) ).
thf(3646,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3588]) ).
thf(3647,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ SV181 )
= $true )
| ( ( doDivides0 @ SV277 @ SV261 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3589]) ).
thf(3648,plain,
! [SV312: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV312 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV312 ) )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3594]) ).
thf(3649,plain,
! [SV313: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV313 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV313 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3595]) ).
thf(3650,plain,
! [SV308: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3596]) ).
thf(3651,plain,
! [SV296: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3597]) ).
thf(3652,plain,
! [SV300: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3598]) ).
thf(3653,plain,
! [SV301: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3599]) ).
thf(3654,plain,
! [SV314: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV314 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV314 ) )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3600]) ).
thf(3655,plain,
! [SV315: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV315 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV315 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3601]) ).
thf(3656,plain,
! [SV309: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV309 ) )
= $false )
| ( ( aNaturalNumber0 @ SV309 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3602]) ).
thf(3657,plain,
! [SV297: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV297 ) )
= $false )
| ( ( aNaturalNumber0 @ SV297 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3603]) ).
thf(3658,plain,
! [SV302: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV302 ) )
= $false )
| ( ( aNaturalNumber0 @ SV302 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3604]) ).
thf(3659,plain,
! [SV303: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV303 ) )
= $false )
| ( ( aNaturalNumber0 @ SV303 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3605]) ).
thf(3660,plain,
! [SV316: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV316 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV316 ) )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3606]) ).
thf(3661,plain,
! [SV317: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV317 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV317 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3607]) ).
thf(3662,plain,
! [SV310: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV310 ) )
= $false )
| ( ( aNaturalNumber0 @ SV310 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3608]) ).
thf(3663,plain,
! [SV298: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV298 ) )
= $false )
| ( ( aNaturalNumber0 @ SV298 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3609]) ).
thf(3664,plain,
! [SV304: $i,SV256: $i,SV181: $i,SV272: $i] :
( ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV304 ) )
= $false )
| ( ( aNaturalNumber0 @ SV304 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3610]) ).
thf(3665,plain,
! [SV305: $i,SV256: $i,SV181: $i,SV272: $i] :
( ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV305 ) )
= $false )
| ( ( aNaturalNumber0 @ SV305 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3611]) ).
thf(3666,plain,
! [SV318: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV318 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV318 ) )
= $true )
| ( ( SV273
= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3612]) ).
thf(3667,plain,
! [SV319: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV319 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV319 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3613]) ).
thf(3668,plain,
! [SV311: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV311 ) )
= $false )
| ( ( aNaturalNumber0 @ SV311 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3614]) ).
thf(3669,plain,
! [SV306: $i,SV257: $i,SV181: $i,SV273: $i] :
( ( ( doDivides0 @ SV273 @ SV181 )
= $true )
| ( ( doDivides0 @ SV273 @ SV257 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV306 ) )
= $false )
| ( ( aNaturalNumber0 @ SV306 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3616]) ).
thf(3670,plain,
! [SV307: $i,SV257: $i,SV181: $i,SV273: $i] :
( ( ( doDivides0 @ SV273 @ SV181 )
= $true )
| ( ( doDivides0 @ SV273 @ SV257 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV273 @ SV257 @ SV181 )
= SV273 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV307 ) )
= $false )
| ( ( aNaturalNumber0 @ SV307 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3617]) ).
thf(3671,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3618]) ).
thf(3672,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3619]) ).
thf(3673,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3620]) ).
thf(3674,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3621]) ).
thf(3675,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3622]) ).
thf(3676,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3623]) ).
thf(3677,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3624]) ).
thf(3678,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3625]) ).
thf(3679,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3626]) ).
thf(3680,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275
= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3627]) ).
thf(3681,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3628]) ).
thf(3682,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3629]) ).
thf(3683,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3632]) ).
thf(3684,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3633]) ).
thf(3685,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= SV275 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3634]) ).
thf(3686,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV275 @ SV259 @ SV181 )
= SV275 )
= $false )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3635]) ).
thf(3687,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276
= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3636]) ).
thf(3688,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3637]) ).
thf(3689,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3638]) ).
thf(3690,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( SV260
= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3641]) ).
thf(3691,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3642]) ).
thf(3692,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( SV260
= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= SV276 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3643]) ).
thf(3693,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV276 @ SV260 @ SV181 )
= SV276 )
= $false )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3644]) ).
thf(3694,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( SV277
= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3645]) ).
thf(3695,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3646]) ).
thf(3696,plain,
! [SV312: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV312 ) )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3648]) ).
thf(3697,plain,
! [SV313: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV313 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3649]) ).
thf(3698,plain,
! [SV308: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3650]) ).
thf(3699,plain,
! [SV296: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3651]) ).
thf(3700,plain,
! [SV296: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3651]) ).
thf(3701,plain,
! [SV300: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3652]) ).
thf(3702,plain,
! [SV301: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3653]) ).
thf(3703,plain,
! [SV314: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV314 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV314 ) )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3654]) ).
thf(3704,plain,
! [SV315: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV315 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV315 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3655]) ).
thf(3705,plain,
! [SV309: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV309 ) )
= $false )
| ( ( aNaturalNumber0 @ SV309 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3656]) ).
thf(3706,plain,
! [SV297: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV297 ) )
= $false )
| ( ( aNaturalNumber0 @ SV297 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3657]) ).
thf(3707,plain,
! [SV297: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV297 ) )
= $false )
| ( ( aNaturalNumber0 @ SV297 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3657]) ).
thf(3708,plain,
! [SV302: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV302 ) )
= $false )
| ( ( aNaturalNumber0 @ SV302 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3658]) ).
thf(3709,plain,
! [SV303: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV303 ) )
= $false )
| ( ( aNaturalNumber0 @ SV303 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3659]) ).
thf(3710,plain,
! [SV316: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV316 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV316 ) )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3660]) ).
thf(3711,plain,
! [SV317: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV317 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV317 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3661]) ).
thf(3712,plain,
! [SV310: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV310 ) )
= $false )
| ( ( aNaturalNumber0 @ SV310 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3662]) ).
thf(3713,plain,
! [SV298: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV298 ) )
= $false )
| ( ( aNaturalNumber0 @ SV298 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3663]) ).
thf(3714,plain,
! [SV298: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV298 ) )
= $false )
| ( ( aNaturalNumber0 @ SV298 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3663]) ).
thf(3715,plain,
! [SV304: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV304 ) )
= $false )
| ( ( aNaturalNumber0 @ SV304 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3664]) ).
thf(3716,plain,
! [SV305: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV305 ) )
= $false )
| ( ( aNaturalNumber0 @ SV305 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3665]) ).
thf(3717,plain,
! [SV318: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV318 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV318 ) )
= $true )
| ( ( SV273
= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3666]) ).
thf(3718,plain,
! [SV319: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV319 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV319 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3667]) ).
thf(3719,plain,
! [SV311: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV311 ) )
= $false )
| ( ( aNaturalNumber0 @ SV311 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3668]) ).
thf(3720,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3671]) ).
thf(3721,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3672]) ).
thf(3722,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3673]) ).
thf(3723,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3673]) ).
thf(3724,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3674]) ).
thf(3725,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3674]) ).
thf(3726,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3675]) ).
thf(3727,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3675]) ).
thf(3728,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3676]) ).
thf(3729,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3677]) ).
thf(3730,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3678]) ).
thf(3731,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3679]) ).
thf(3732,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275
= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3680]) ).
thf(3733,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3681]) ).
thf(3734,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3682]) ).
thf(3735,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3682]) ).
thf(3736,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276
= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3687]) ).
thf(3737,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV276 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3688]) ).
thf(3738,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3689]) ).
thf(3739,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3689]) ).
thf(3740,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( SV277
= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3694]) ).
thf(3741,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV277 @ SV181 )
| ( doDivides0 @ SV277 @ SV261 ) )
= $true )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3695]) ).
thf(3742,plain,
! [SV270: $i,SV254: $i,SV181: $i,SV312: $i] :
( ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3696]) ).
thf(3743,plain,
! [SV270: $i,SV254: $i,SV181: $i,SV313: $i] :
( ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3697]) ).
thf(3744,plain,
! [SV308: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3698]) ).
thf(3745,plain,
! [SV296: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3699]) ).
thf(3746,plain,
! [SV296: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3700]) ).
thf(3747,plain,
! [SV300: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3701]) ).
thf(3748,plain,
! [SV300: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3701]) ).
thf(3749,plain,
! [SV301: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3702]) ).
thf(3750,plain,
! [SV301: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3702]) ).
thf(3751,plain,
! [SV271: $i,SV255: $i,SV181: $i,SV314: $i] :
( ( ( aNaturalNumber0 @ SV314 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV314 ) )
= $false )
| ( ( SV271
= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3703]) ).
thf(3752,plain,
! [SV271: $i,SV255: $i,SV181: $i,SV315: $i] :
( ( ( aNaturalNumber0 @ SV315 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV315 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3704]) ).
thf(3753,plain,
! [SV309: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV309 ) )
= $false )
| ( ( aNaturalNumber0 @ SV309 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3705]) ).
thf(3754,plain,
! [SV297: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV297 ) )
= $false )
| ( ( aNaturalNumber0 @ SV297 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3706]) ).
thf(3755,plain,
! [SV297: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV297 ) )
= $false )
| ( ( aNaturalNumber0 @ SV297 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3707]) ).
thf(3756,plain,
! [SV302: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV302 ) )
= $false )
| ( ( aNaturalNumber0 @ SV302 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3708]) ).
thf(3757,plain,
! [SV302: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV302 ) )
= $false )
| ( ( aNaturalNumber0 @ SV302 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3708]) ).
thf(3758,plain,
! [SV303: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV303 ) )
= $false )
| ( ( aNaturalNumber0 @ SV303 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3709]) ).
thf(3759,plain,
! [SV303: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV303 ) )
= $false )
| ( ( aNaturalNumber0 @ SV303 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3709]) ).
thf(3760,plain,
! [SV272: $i,SV256: $i,SV181: $i,SV316: $i] :
( ( ( aNaturalNumber0 @ SV316 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV316 ) )
= $false )
| ( ( SV272
= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3710]) ).
thf(3761,plain,
! [SV272: $i,SV256: $i,SV181: $i,SV317: $i] :
( ( ( aNaturalNumber0 @ SV317 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV317 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3711]) ).
thf(3762,plain,
! [SV310: $i,SV256: $i,SV181: $i,SV272: $i] :
( ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV310 ) )
= $false )
| ( ( aNaturalNumber0 @ SV310 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3712]) ).
thf(3763,plain,
! [SV298: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( SV256
= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV298 ) )
= $false )
| ( ( aNaturalNumber0 @ SV298 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3713]) ).
thf(3764,plain,
! [SV298: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV298 ) )
= $false )
| ( ( aNaturalNumber0 @ SV298 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3714]) ).
thf(3765,plain,
! [SV304: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV304 ) )
= $false )
| ( ( aNaturalNumber0 @ SV304 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3715]) ).
thf(3766,plain,
! [SV304: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV304 ) )
= $false )
| ( ( aNaturalNumber0 @ SV304 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3715]) ).
thf(3767,plain,
! [SV305: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV305 ) )
= $false )
| ( ( aNaturalNumber0 @ SV305 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3716]) ).
thf(3768,plain,
! [SV305: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV305 ) )
= $false )
| ( ( aNaturalNumber0 @ SV305 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3716]) ).
thf(3769,plain,
! [SV273: $i,SV257: $i,SV181: $i,SV318: $i] :
( ( ( aNaturalNumber0 @ SV318 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV318 ) )
= $false )
| ( ( SV273
= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3717]) ).
thf(3770,plain,
! [SV273: $i,SV257: $i,SV181: $i,SV319: $i] :
( ( ( aNaturalNumber0 @ SV319 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV319 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3718]) ).
thf(3771,plain,
! [SV311: $i,SV257: $i,SV181: $i,SV273: $i] :
( ( ( doDivides0 @ SV273 @ SV181 )
= $true )
| ( ( doDivides0 @ SV273 @ SV257 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV311 ) )
= $false )
| ( ( aNaturalNumber0 @ SV311 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3719]) ).
thf(3772,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3720]) ).
thf(3773,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3721]) ).
thf(3774,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3722]) ).
thf(3775,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3723]) ).
thf(3776,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3724]) ).
thf(3777,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3725]) ).
thf(3778,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3726]) ).
thf(3779,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3727]) ).
thf(3780,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3728]) ).
thf(3781,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3728]) ).
thf(3782,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3729]) ).
thf(3783,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3729]) ).
thf(3784,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3730]) ).
thf(3785,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3730]) ).
thf(3786,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3731]) ).
thf(3787,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3731]) ).
thf(3788,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275
= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3732]) ).
thf(3789,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3733]) ).
thf(3790,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3734]) ).
thf(3791,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3735]) ).
thf(3792,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276
= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3736]) ).
thf(3793,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3737]) ).
thf(3794,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( SV260
= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3738]) ).
thf(3795,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3739]) ).
thf(3796,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ SV181 )
= $true )
| ( ( doDivides0 @ SV277 @ SV261 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( SV277
= ( sdtasdt0 @ ( sK17_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3740]) ).
thf(3797,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ SV181 )
= $true )
| ( ( doDivides0 @ SV277 @ SV261 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SV277 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV277 @ SV261 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV277 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3741]) ).
thf(3798,plain,
! [SV312: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3742]) ).
thf(3799,plain,
! [SV313: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3743]) ).
thf(3800,plain,
! [SV308: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3744]) ).
thf(3801,plain,
! [SV296: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3745]) ).
thf(3802,plain,
! [SV296: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3746]) ).
thf(3803,plain,
! [SV300: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3747]) ).
thf(3804,plain,
! [SV300: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3748]) ).
thf(3805,plain,
! [SV301: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3749]) ).
thf(3806,plain,
! [SV301: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3750]) ).
thf(3807,plain,
! [SV314: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV314 ) )
= $false )
| ( ( aNaturalNumber0 @ SV314 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3751]) ).
thf(3808,plain,
! [SV315: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV315 ) )
= $false )
| ( ( aNaturalNumber0 @ SV315 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3752]) ).
thf(3809,plain,
! [SV309: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV309 ) )
= $false )
| ( ( aNaturalNumber0 @ SV309 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3753]) ).
thf(3810,plain,
! [SV302: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV302 ) )
= $false )
| ( ( aNaturalNumber0 @ SV302 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3756]) ).
thf(3811,plain,
! [SV302: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV302 ) )
= $false )
| ( ( aNaturalNumber0 @ SV302 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3757]) ).
thf(3812,plain,
! [SV303: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV303 ) )
= $false )
| ( ( aNaturalNumber0 @ SV303 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3758]) ).
thf(3813,plain,
! [SV303: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV303 ) )
= $false )
| ( ( aNaturalNumber0 @ SV303 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3759]) ).
thf(3814,plain,
! [SV316: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV316 ) )
= $false )
| ( ( aNaturalNumber0 @ SV316 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3760]) ).
thf(3815,plain,
! [SV317: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV317 ) )
= $false )
| ( ( aNaturalNumber0 @ SV317 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3761]) ).
thf(3816,plain,
! [SV310: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV310 ) )
= $false )
| ( ( aNaturalNumber0 @ SV310 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3762]) ).
thf(3817,plain,
! [SV304: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( SV256
= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV304 ) )
= $false )
| ( ( aNaturalNumber0 @ SV304 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3765]) ).
thf(3818,plain,
! [SV304: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV304 ) )
= $false )
| ( ( aNaturalNumber0 @ SV304 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3766]) ).
thf(3819,plain,
! [SV305: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( SV256
= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV305 ) )
= $false )
| ( ( aNaturalNumber0 @ SV305 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3767]) ).
thf(3820,plain,
! [SV305: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV305 ) )
= $false )
| ( ( aNaturalNumber0 @ SV305 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3768]) ).
thf(3821,plain,
! [SV318: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273
= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV318 ) )
= $false )
| ( ( aNaturalNumber0 @ SV318 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3769]) ).
thf(3822,plain,
! [SV319: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV319 ) )
= $false )
| ( ( aNaturalNumber0 @ SV319 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3770]) ).
thf(3823,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3772]) ).
thf(3824,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3773]) ).
thf(3825,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3774]) ).
thf(3826,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3775]) ).
thf(3827,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3780]) ).
thf(3828,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3781]) ).
thf(3829,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3782]) ).
thf(3830,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3783]) ).
thf(3831,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3784]) ).
thf(3832,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3785]) ).
thf(3833,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3786]) ).
thf(3834,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV274 @ SV258 @ SV181 )
= SV274 )
= $false )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3787]) ).
thf(3835,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275
= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3788]) ).
thf(3836,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3789]) ).
thf(3837,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276
= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3792]) ).
thf(3838,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3793]) ).
thf(3839,plain,
! [SV312: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3798]) ).
thf(3840,plain,
! [SV313: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3799]) ).
thf(3841,plain,
! [SV308: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3800]) ).
thf(3842,plain,
! [SV308: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3800]) ).
thf(3843,plain,
! [SV296: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3801]) ).
thf(3844,plain,
! [SV296: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3801]) ).
thf(3845,plain,
! [SV296: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3802]) ).
thf(3846,plain,
! [SV296: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3802]) ).
thf(3847,plain,
! [SV300: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3803]) ).
thf(3848,plain,
! [SV300: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3804]) ).
thf(3849,plain,
! [SV301: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3805]) ).
thf(3850,plain,
! [SV301: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3806]) ).
thf(3851,plain,
! [SV314: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV314 ) )
= $false )
| ( ( aNaturalNumber0 @ SV314 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3807]) ).
thf(3852,plain,
! [SV315: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV315 ) )
= $false )
| ( ( aNaturalNumber0 @ SV315 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3808]) ).
thf(3853,plain,
! [SV309: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV309 ) )
= $false )
| ( ( aNaturalNumber0 @ SV309 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3809]) ).
thf(3854,plain,
! [SV309: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV309 ) )
= $false )
| ( ( aNaturalNumber0 @ SV309 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3809]) ).
thf(3855,plain,
! [SV316: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV316 ) )
= $false )
| ( ( aNaturalNumber0 @ SV316 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3814]) ).
thf(3856,plain,
! [SV317: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV317 ) )
= $false )
| ( ( aNaturalNumber0 @ SV317 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3815]) ).
thf(3857,plain,
! [SV310: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV310 ) )
= $false )
| ( ( aNaturalNumber0 @ SV310 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3816]) ).
thf(3858,plain,
! [SV310: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV310 ) )
= $false )
| ( ( aNaturalNumber0 @ SV310 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3816]) ).
thf(3859,plain,
! [SV318: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273
= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV318 ) )
= $false )
| ( ( aNaturalNumber0 @ SV318 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3821]) ).
thf(3860,plain,
! [SV319: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV319 ) )
= $false )
| ( ( aNaturalNumber0 @ SV319 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3822]) ).
thf(3861,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3823]) ).
thf(3862,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3823]) ).
thf(3863,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3824]) ).
thf(3864,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3824]) ).
thf(3865,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3825]) ).
thf(3866,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3825]) ).
thf(3867,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3826]) ).
thf(3868,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3826]) ).
thf(3869,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275
= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3835]) ).
thf(3870,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275
= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3835]) ).
thf(3871,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3836]) ).
thf(3872,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3836]) ).
thf(3873,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276
= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3837]) ).
thf(3874,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276
= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3837]) ).
thf(3875,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3838]) ).
thf(3876,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3838]) ).
thf(3877,plain,
! [SV312: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3839]) ).
thf(3878,plain,
! [SV313: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3840]) ).
thf(3879,plain,
! [SV308: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3841]) ).
thf(3880,plain,
! [SV308: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3842]) ).
thf(3881,plain,
! [SV296: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3843]) ).
thf(3882,plain,
! [SV296: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3844]) ).
thf(3883,plain,
! [SV296: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3845]) ).
thf(3884,plain,
! [SV296: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3846]) ).
thf(3885,plain,
! [SV300: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3847]) ).
thf(3886,plain,
! [SV300: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3847]) ).
thf(3887,plain,
! [SV300: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3848]) ).
thf(3888,plain,
! [SV300: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3848]) ).
thf(3889,plain,
! [SV301: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3849]) ).
thf(3890,plain,
! [SV301: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3849]) ).
thf(3891,plain,
! [SV301: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3850]) ).
thf(3892,plain,
! [SV301: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3850]) ).
thf(3893,plain,
! [SV314: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV314 ) )
= $false )
| ( ( aNaturalNumber0 @ SV314 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3851]) ).
thf(3894,plain,
! [SV315: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV315 ) )
= $false )
| ( ( aNaturalNumber0 @ SV315 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3852]) ).
thf(3895,plain,
! [SV309: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV309 ) )
= $false )
| ( ( aNaturalNumber0 @ SV309 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3853]) ).
thf(3896,plain,
! [SV309: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV309 ) )
= $false )
| ( ( aNaturalNumber0 @ SV309 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3854]) ).
thf(3897,plain,
! [SV316: $i,SV256: $i,SV181: $i,SV272: $i] :
( ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV316 ) )
= $false )
| ( ( aNaturalNumber0 @ SV316 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3855]) ).
thf(3898,plain,
! [SV317: $i,SV256: $i,SV181: $i,SV272: $i] :
( ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV317 ) )
= $false )
| ( ( aNaturalNumber0 @ SV317 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3856]) ).
thf(3899,plain,
! [SV310: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( SV256
= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV310 ) )
= $false )
| ( ( aNaturalNumber0 @ SV310 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3857]) ).
thf(3900,plain,
! [SV310: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV310 ) )
= $false )
| ( ( aNaturalNumber0 @ SV310 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3858]) ).
thf(3901,plain,
! [SV318: $i,SV257: $i,SV181: $i,SV273: $i] :
( ( ( doDivides0 @ SV273 @ SV181 )
= $true )
| ( ( doDivides0 @ SV273 @ SV257 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273
= ( sdtasdt0 @ ( sK29_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV318 ) )
= $false )
| ( ( aNaturalNumber0 @ SV318 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3859]) ).
thf(3902,plain,
! [SV319: $i,SV257: $i,SV181: $i,SV273: $i] :
( ( ( doDivides0 @ SV273 @ SV181 )
= $true )
| ( ( doDivides0 @ SV273 @ SV257 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV319 ) )
= $false )
| ( ( aNaturalNumber0 @ SV319 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV273 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3860]) ).
thf(3903,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3861]) ).
thf(3904,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3862]) ).
thf(3905,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3863]) ).
thf(3906,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3864]) ).
thf(3907,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3865]) ).
thf(3908,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3866]) ).
thf(3909,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3867]) ).
thf(3910,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3868]) ).
thf(3911,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275
= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3869]) ).
thf(3912,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275
= ( sdtasdt0 @ ( sK23_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3870]) ).
thf(3913,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV275 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3871]) ).
thf(3914,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ SV259 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3872]) ).
thf(3915,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( SV260
= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276
= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3873]) ).
thf(3916,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276
= ( sdtasdt0 @ ( sK20_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3874]) ).
thf(3917,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( SV260
= ( sdtasdt0 @ SV276 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3875]) ).
thf(3918,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV276 @ SV260 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3876]) ).
thf(3919,plain,
! [SV312: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3877]) ).
thf(3920,plain,
! [SV313: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3878]) ).
thf(3921,plain,
! [SV308: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3879]) ).
thf(3922,plain,
! [SV308: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3880]) ).
thf(3923,plain,
! [SV300: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3885]) ).
thf(3924,plain,
! [SV300: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3886]) ).
thf(3925,plain,
! [SV300: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3887]) ).
thf(3926,plain,
! [SV300: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3888]) ).
thf(3927,plain,
! [SV301: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3889]) ).
thf(3928,plain,
! [SV301: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3890]) ).
thf(3929,plain,
! [SV301: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3891]) ).
thf(3930,plain,
! [SV301: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3892]) ).
thf(3931,plain,
! [SV314: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV314 ) )
= $false )
| ( ( aNaturalNumber0 @ SV314 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3893]) ).
thf(3932,plain,
! [SV315: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV315 ) )
= $false )
| ( ( aNaturalNumber0 @ SV315 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3894]) ).
thf(3933,plain,
! [SV316: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV316 ) )
= $false )
| ( ( aNaturalNumber0 @ SV316 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3897]) ).
thf(3934,plain,
! [SV317: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV317 ) )
= $false )
| ( ( aNaturalNumber0 @ SV317 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3898]) ).
thf(3935,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3903]) ).
thf(3936,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3904]) ).
thf(3937,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3905]) ).
thf(3938,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3906]) ).
thf(3939,plain,
! [SV312: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3919]) ).
thf(3940,plain,
! [SV312: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3919]) ).
thf(3941,plain,
! [SV313: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3920]) ).
thf(3942,plain,
! [SV313: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3920]) ).
thf(3943,plain,
! [SV308: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3921]) ).
thf(3944,plain,
! [SV308: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3921]) ).
thf(3945,plain,
! [SV308: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3922]) ).
thf(3946,plain,
! [SV308: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3922]) ).
thf(3947,plain,
! [SV314: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV314 ) )
= $false )
| ( ( aNaturalNumber0 @ SV314 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3931]) ).
thf(3948,plain,
! [SV314: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV314 ) )
= $false )
| ( ( aNaturalNumber0 @ SV314 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3931]) ).
thf(3949,plain,
! [SV315: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV315 ) )
= $false )
| ( ( aNaturalNumber0 @ SV315 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3932]) ).
thf(3950,plain,
! [SV315: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV315 ) )
= $false )
| ( ( aNaturalNumber0 @ SV315 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3932]) ).
thf(3951,plain,
! [SV316: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV316 ) )
= $false )
| ( ( aNaturalNumber0 @ SV316 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3933]) ).
thf(3952,plain,
! [SV316: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV316 ) )
= $false )
| ( ( aNaturalNumber0 @ SV316 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3933]) ).
thf(3953,plain,
! [SV317: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV317 ) )
= $false )
| ( ( aNaturalNumber0 @ SV317 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3934]) ).
thf(3954,plain,
! [SV317: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV317 ) )
= $false )
| ( ( aNaturalNumber0 @ SV317 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3934]) ).
thf(3955,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3935]) ).
thf(3956,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3935]) ).
thf(3957,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3936]) ).
thf(3958,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3936]) ).
thf(3959,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3937]) ).
thf(3960,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3937]) ).
thf(3961,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3938]) ).
thf(3962,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3938]) ).
thf(3963,plain,
! [SV312: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3939]) ).
thf(3964,plain,
! [SV312: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3940]) ).
thf(3965,plain,
! [SV313: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3941]) ).
thf(3966,plain,
! [SV313: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3942]) ).
thf(3967,plain,
! [SV308: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3943]) ).
thf(3968,plain,
! [SV308: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3944]) ).
thf(3969,plain,
! [SV308: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3945]) ).
thf(3970,plain,
! [SV308: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3946]) ).
thf(3971,plain,
! [SV314: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV314 ) )
= $false )
| ( ( aNaturalNumber0 @ SV314 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3947]) ).
thf(3972,plain,
! [SV314: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK35_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV314 ) )
= $false )
| ( ( aNaturalNumber0 @ SV314 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3948]) ).
thf(3973,plain,
! [SV315: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV271 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV315 ) )
= $false )
| ( ( aNaturalNumber0 @ SV315 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3949]) ).
thf(3974,plain,
! [SV315: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV271 @ SV255 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV315 ) )
= $false )
| ( ( aNaturalNumber0 @ SV315 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3950]) ).
thf(3975,plain,
! [SV316: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( SV256
= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV316 ) )
= $false )
| ( ( aNaturalNumber0 @ SV316 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3951]) ).
thf(3976,plain,
! [SV316: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK32_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV316 ) )
= $false )
| ( ( aNaturalNumber0 @ SV316 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3952]) ).
thf(3977,plain,
! [SV317: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( SV256
= ( sdtasdt0 @ SV272 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV317 ) )
= $false )
| ( ( aNaturalNumber0 @ SV317 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3953]) ).
thf(3978,plain,
! [SV317: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV317 ) )
= $false )
| ( ( aNaturalNumber0 @ SV317 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3954]) ).
thf(3979,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3955]) ).
thf(3980,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3956]) ).
thf(3981,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3957]) ).
thf(3982,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK27_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3958]) ).
thf(3983,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3959]) ).
thf(3984,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3960]) ).
thf(3985,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3961]) ).
thf(3986,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3962]) ).
thf(3987,plain,
! [SV312: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3963]) ).
thf(3988,plain,
! [SV312: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3964]) ).
thf(3989,plain,
! [SV313: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3965]) ).
thf(3990,plain,
! [SV313: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3966]) ).
thf(3991,plain,
! [SV312: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3987]) ).
thf(3992,plain,
! [SV312: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3987]) ).
thf(3993,plain,
! [SV312: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3988]) ).
thf(3994,plain,
! [SV312: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3988]) ).
thf(3995,plain,
! [SV313: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3989]) ).
thf(3996,plain,
! [SV313: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3989]) ).
thf(3997,plain,
! [SV313: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3990]) ).
thf(3998,plain,
! [SV313: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3990]) ).
thf(3999,plain,
! [SV312: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3991]) ).
thf(4000,plain,
! [SV312: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3992]) ).
thf(4001,plain,
! [SV312: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3993]) ).
thf(4002,plain,
! [SV312: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK39_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3994]) ).
thf(4003,plain,
! [SV313: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3995]) ).
thf(4004,plain,
! [SV313: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3996]) ).
thf(4005,plain,
! [SV313: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3997]) ).
thf(4006,plain,
! [SV313: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3998]) ).
thf(4007,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2086,4006,4005,4004,4003,4002,4001,4000,3999,3986,3985,3984,3983,3982,3981,3980,3979,3978,3977,3976,3975,3974,3973,3972,3971,3970,3969,3968,3967,3930,3929,3928,3927,3926,3925,3924,3923,3918,3917,3916,3915,3914,3913,3912,3911,3910,3909,3908,3907,3902,3901,3900,3899,3896,3895,3884,3883,3882,3881,3834,3833,3832,3831,3830,3829,3828,3827,3820,3819,3818,3817,3813,3812,3811,3810,3797,3796,3795,3794,3791,3790,3779,3778,3777,3776,3771,3764,3763,3755,3754,3693,3692,3691,3690,3686,3685,3684,3683,3670,3669,3647,3640,3639,3631,3630,3615,3593,3592,3591,3590,3537,3536,3486,3440,3439,3438,3437,3436,3435,3434,3433,3295,3294,3293,3292,3289,3172,3084,3050,3032,3031,3029,3011,3010,3009,2981,2959,2937,2935,2934,2933,2897,2896,2874,2871,2863,2862,2845,2843,2839,2801,2800,2774,2762,2761,2760,2759,2756,2755,2732,2722,2717,2716,2711,2710,2709,2672,2659,2655,2642,2640,2639,2638,2616,2615,2614,2604,2603,2602,2601,2599,2595,2592,2591,2590,2589,2567,2528,2523,2513,2501,2488,2487,2481,2480,2470,2469,2463,2462,2457,2456,2453,2452,2445,2439,2437,2436,2435,2371,2370,2369,2363,2362,2361,2356,2344,2318,2312,2299,2293,2289,2287,2274,2272,2260,2145]) ).
thf(4008,plain,
( ( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xp ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(4009,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK39_W3 @ W2 @ W1 @ W0 ) @ ( sK40_SY98 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK40_SY98 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK39_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK39_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK39_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK39_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK38_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK38_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK35_W3 @ W2 @ W1 @ W0 ) @ ( sK36_SY97 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK36_SY97 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK35_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK35_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK35_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK35_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK34_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK34_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK32_W3 @ W2 @ W1 @ W0 ) @ ( sK33_SY96 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK33_SY96 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK32_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK32_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK32_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK32_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK31_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK31_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ ( sK30_SY95 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK30_SY95 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK29_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK29_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK27_W3 @ W2 @ W1 @ W0 ) @ ( sK28_SY94 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK28_SY94 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK27_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK27_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK27_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK27_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK26_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK26_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK23_W3 @ W2 @ W1 @ W0 ) @ ( sK24_SY93 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK24_SY93 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK23_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK23_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK23_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK23_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK22_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK22_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK20_W3 @ W2 @ W1 @ W0 ) @ ( sK21_SY92 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK21_SY92 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK20_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK20_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK20_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK20_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK19_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK19_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK17_W3 @ W2 @ W1 @ W0 ) @ ( sK18_SY91 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK18_SY91 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK17_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK17_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK17_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK17_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK16_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK16_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK14_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK14_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK12_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK12_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK10_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK10_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK9_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK9_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(4010,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
( ( xp
!= ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( aNaturalNumber0 @ W1 ) )
| ( W0 = sz10 )
| ( W0 = xp ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( doDivides0 @ W0 @ xp )
| ( W0 = sz10 )
| ( W0 = xp ) )
& ( xp != sz00 )
& ( xp != sz10 )
& ( isPrime0 @ xp )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ sK8_W0 ) )
& ( aNaturalNumber0 @ sK8_W0 )
& ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(4011,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xn )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xn ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(4012,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xm )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xm ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(4013,plain,
( ( ( xm != xp )
& ( xn != xp )
& ( ( sdtpldt0 @ xn @ sK7_W0 )
= xp )
& ( aNaturalNumber0 @ sK7_W0 )
& ( sdtlseqdt0 @ xn @ xp )
& ( ( sdtpldt0 @ xm @ sK6_W0 )
= xp )
& ( aNaturalNumber0 @ sK6_W0 )
& ( sdtlseqdt0 @ xm @ xp ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(4014,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ xk )
& ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(4015,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(4016,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(4017,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
( ( xr
!= ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( aNaturalNumber0 @ W1 ) )
| ( W0 = sz10 )
| ( W0 = xr ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( doDivides0 @ W0 @ xr )
| ( W0 = sz10 )
| ( W0 = xr ) )
& ( xr != sz10 )
& ( xr != sz00 )
& ( xk
= ( sdtasdt0 @ xr @ sK5_W0 ) )
& ( aNaturalNumber0 @ sK5_W0 )
& ( aNaturalNumber0 @ xr )
& ( doDivides0 @ xr @ xk )
& ( isPrime0 @ xr ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(4018,plain,
( ( ( ( sdtpldt0 @ xr @ sK4_W0 )
= xk )
& ( aNaturalNumber0 @ sK4_W0 )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sK3_W0 ) )
& ( aNaturalNumber0 @ sK3_W0 )
& ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(4019,plain,
( ( ( ( sdtpldt0 @ xp @ sK2_W0 )
= xk )
& ( aNaturalNumber0 @ sK2_W0 )
& ( sdtlseqdt0 @ xp @ xk ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(4020,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(4021,plain,
( ( aNaturalNumber0 @ sz00 )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(4022,plain,
( ( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(4023,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(4024,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(4025,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(4026,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(4027,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtpldt0 @ W0 @ sz00 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(4028,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(4029,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(4030,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz10 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(4031,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(4032,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
= ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(4033,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W0 @ W1 )
!= ( sdtpldt0 @ W0 @ W2 ) )
| ( W1 = W2 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W1 @ W0 )
!= ( sdtpldt0 @ W2 @ W0 ) )
| ( W1 = W2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(4034,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0 = sz00 )
| ( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) )
| ( W1 = W2 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) )
| ( W1 = W2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(4035,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
!= sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(4036,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(4037,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(4038,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W0 )
| ( W0 = W1 ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(4039,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(4040,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W1 != W0 )
| ( sdtlseqdt0 @ W0 @ W1 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( sdtlseqdt0 @ W1 @ W0 )
| ( sdtlseqdt0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(4041,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W0 @ W2 )
!= ( sdtpldt0 @ W1 @ W2 ) ) )
& ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W2 @ W0 )
!= ( sdtpldt0 @ W2 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ W2 @ W0 ) @ ( sdtpldt0 @ W2 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ W0 @ W2 ) @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(4042,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(4043,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sz10 != W0 )
| ( W0 = sz00 )
| ( W0 = sz10 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sdtlseqdt0 @ sz10 @ W0 )
| ( W0 = sz00 )
| ( W0 = sz10 ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(4044,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = sz00 )
| ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(4045,plain,
( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 )
| $true )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(4046,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( iLess0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(4047,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( doDivides0 @ W0 @ W1 )
| ~ ( doDivides0 @ W1 @ W2 )
| ( doDivides0 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(4048,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( doDivides0 @ W0 @ W1 )
| ~ ( doDivides0 @ W0 @ W2 )
| ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(4049,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( doDivides0 @ W0 @ W1 )
| ~ ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
| ( doDivides0 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(4050,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W1 = sz00 )
| ~ ( doDivides0 @ W0 @ W1 )
| ( sdtlseqdt0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(4051,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = sz00 )
| ~ ( doDivides0 @ W0 @ W1 )
| ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W2 @ ( sdtsldt0 @ W1 @ W0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(4052,plain,
( ( ! [W0: $i] :
( ( W0 = sz10 )
| ( W0 = sz00 )
| ~ ( aNaturalNumber0 @ W0 )
| ( ( aNaturalNumber0 @ ( sK1_W1 @ W0 ) )
& ( doDivides0 @ ( sK1_W1 @ W0 ) @ W0 )
& ( isPrime0 @ ( sK1_W1 @ W0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(4053,plain,
( ( ( sdtasdt0 @ xp @ xm )
= ( sdtasdt0 @ xp @ xk ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(4054,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4035]) ).
thf(4055,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK39_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK40_SY98 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK38_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK37_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK35_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK36_SY97 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK34_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK32_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK33_SY96 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK31_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK30_SY95 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK27_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK28_SY94 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK26_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK25_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK23_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK24_SY93 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK22_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK20_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK21_SY92 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK19_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK17_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK18_SY91 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK16_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK15_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK14_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK12_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK11_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK10_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK9_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4009]) ).
thf(4056,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
| ~ ( isPrime0 @ xr ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4017]) ).
thf(4057,plain,
( ( ~ ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4015]) ).
thf(4058,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX0 = SX1 )
| ~ ( sdtlseqdt0 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX0 @ SX2 )
!= ( sdtpldt0 @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX2 @ SX0 )
!= ( sdtpldt0 @ SX2 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SX2 @ SX0 ) @ ( sdtpldt0 @ SX2 @ SX1 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SX0 @ SX2 ) @ ( sdtpldt0 @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4041]) ).
thf(4059,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( ( sdtasdt0 @ SX1 @ SX0 )
!= ( sdtasdt0 @ SX2 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX0 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SX0 @ SX1 ) @ ( sdtasdt0 @ SX0 @ SX2 ) ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ ( sdtasdt0 @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4042]) ).
thf(4060,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4043]) ).
thf(4061,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ SX0 @ ( sdtpldt0 @ SX1 @ SX2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SX0 @ SX1 ) @ ( sdtasdt0 @ SX0 @ SX2 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SX1 @ SX2 ) @ SX0 )
= ( sdtpldt0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ ( sdtasdt0 @ SX2 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4032]) ).
thf(4062,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0 = sz00 )
| ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ SX1 @ SX0 )
!= ( sdtasdt0 @ SX2 @ SX0 ) )
| ( SX1 = SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4034]) ).
thf(4063,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4027]) ).
thf(4064,plain,
( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4008]) ).
thf(4065,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
| ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4018]) ).
thf(4066,plain,
( ( ~ ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
| ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4014]) ).
thf(4067,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4031]) ).
thf(4068,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xm ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4012]) ).
thf(4069,plain,
( ( ~ ( ~ ( ( sz10 != sz00 ) )
| ~ ( aNaturalNumber0 @ sz10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4022]) ).
thf(4070,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4030]) ).
thf(4071,plain,
( ( ! [SX0: $i] :
( ( SX0 = sz10 )
| ( SX0 = sz00 )
| ~ ( aNaturalNumber0 @ SX0 )
| ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SX0 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SX0 ) @ SX0 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4052]) ).
thf(4072,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= ( sdtpldt0 @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX1 @ SX0 )
!= ( sdtpldt0 @ SX2 @ SX0 ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4033]) ).
thf(4073,plain,
( ( ~ ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4016]) ).
thf(4074,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xm @ xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4013]) ).
thf(4075,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4040]) ).
thf(4076,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xn ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4011]) ).
thf(4077,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4010]) ).
thf(4078,plain,
( ( ~ ( ~ ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) )
| ~ ( sdtlseqdt0 @ xp @ xk ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4019]) ).
thf(4079,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[4020]) ).
thf(4080,plain,
! [SV321: $i] :
( ( ! [SY393: $i] :
( ~ ( aNaturalNumber0 @ SV321 )
| ~ ( aNaturalNumber0 @ SY393 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ SV321 @ SY393 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4023]) ).
thf(4081,plain,
! [SV322: $i] :
( ( ! [SY394: $i] :
( ~ ( aNaturalNumber0 @ SV322 )
| ~ ( aNaturalNumber0 @ SY394 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ SV322 @ SY394 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4024]) ).
thf(4082,plain,
! [SV323: $i] :
( ( ! [SY395: $i] :
( ~ ( aNaturalNumber0 @ SV323 )
| ~ ( aNaturalNumber0 @ SY395 )
| ( ( sdtpldt0 @ SV323 @ SY395 )
= ( sdtpldt0 @ SY395 @ SV323 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4025]) ).
thf(4083,plain,
! [SV324: $i] :
( ( ! [SY396: $i,SY397: $i] :
( ~ ( aNaturalNumber0 @ SV324 )
| ~ ( aNaturalNumber0 @ SY396 )
| ~ ( aNaturalNumber0 @ SY397 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV324 @ SY396 ) @ SY397 )
= ( sdtpldt0 @ SV324 @ ( sdtpldt0 @ SY396 @ SY397 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4026]) ).
thf(4084,plain,
! [SV325: $i] :
( ( ! [SY398: $i] :
( ~ ( aNaturalNumber0 @ SV325 )
| ~ ( aNaturalNumber0 @ SY398 )
| ( ( sdtasdt0 @ SV325 @ SY398 )
= ( sdtasdt0 @ SY398 @ SV325 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4028]) ).
thf(4085,plain,
! [SV326: $i] :
( ( ! [SY399: $i,SY400: $i] :
( ~ ( aNaturalNumber0 @ SV326 )
| ~ ( aNaturalNumber0 @ SY399 )
| ~ ( aNaturalNumber0 @ SY400 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV326 @ SY399 ) @ SY400 )
= ( sdtasdt0 @ SV326 @ ( sdtasdt0 @ SY399 @ SY400 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4029]) ).
thf(4086,plain,
! [SV327: $i] :
( ( ! [SY401: $i] :
( ~ ( aNaturalNumber0 @ SV327 )
| ~ ( aNaturalNumber0 @ SY401 )
| ( ( sdtasdt0 @ SV327 @ SY401 )
!= sz00 )
| ( SV327 = sz00 )
| ( SY401 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4036]) ).
thf(4087,plain,
! [SV328: $i] :
( ( ~ ( aNaturalNumber0 @ SV328 )
| ( sdtlseqdt0 @ SV328 @ SV328 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4037]) ).
thf(4088,plain,
! [SV329: $i] :
( ( ! [SY402: $i] :
( ~ ( aNaturalNumber0 @ SV329 )
| ~ ( aNaturalNumber0 @ SY402 )
| ~ ( sdtlseqdt0 @ SV329 @ SY402 )
| ~ ( sdtlseqdt0 @ SY402 @ SV329 )
| ( SV329 = SY402 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4038]) ).
thf(4089,plain,
! [SV330: $i] :
( ( ! [SY403: $i,SY404: $i] :
( ~ ( aNaturalNumber0 @ SV330 )
| ~ ( aNaturalNumber0 @ SY403 )
| ~ ( aNaturalNumber0 @ SY404 )
| ~ ( sdtlseqdt0 @ SV330 @ SY403 )
| ~ ( sdtlseqdt0 @ SY403 @ SY404 )
| ( sdtlseqdt0 @ SV330 @ SY404 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4039]) ).
thf(4090,plain,
! [SV331: $i] :
( ( ! [SY405: $i] :
( ~ ( aNaturalNumber0 @ SV331 )
| ~ ( aNaturalNumber0 @ SY405 )
| ( SV331 = sz00 )
| ( sdtlseqdt0 @ SY405 @ ( sdtasdt0 @ SY405 @ SV331 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4044]) ).
thf(4091,plain,
( ( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[4045]) ).
thf(4092,plain,
! [SV332: $i] :
( ( ! [SY406: $i] :
( ~ ( aNaturalNumber0 @ SV332 )
| ~ ( aNaturalNumber0 @ SY406 )
| ( SV332 = SY406 )
| ~ ( sdtlseqdt0 @ SV332 @ SY406 )
| ( iLess0 @ SV332 @ SY406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4046]) ).
thf(4093,plain,
! [SV333: $i] :
( ( ! [SY407: $i,SY408: $i] :
( ~ ( aNaturalNumber0 @ SV333 )
| ~ ( aNaturalNumber0 @ SY407 )
| ~ ( aNaturalNumber0 @ SY408 )
| ~ ( doDivides0 @ SV333 @ SY407 )
| ~ ( doDivides0 @ SY407 @ SY408 )
| ( doDivides0 @ SV333 @ SY408 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4047]) ).
thf(4094,plain,
! [SV334: $i] :
( ( ! [SY409: $i,SY410: $i] :
( ~ ( aNaturalNumber0 @ SV334 )
| ~ ( aNaturalNumber0 @ SY409 )
| ~ ( aNaturalNumber0 @ SY410 )
| ~ ( doDivides0 @ SV334 @ SY409 )
| ~ ( doDivides0 @ SV334 @ SY410 )
| ( doDivides0 @ SV334 @ ( sdtpldt0 @ SY409 @ SY410 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4048]) ).
thf(4095,plain,
! [SV335: $i] :
( ( ! [SY411: $i,SY412: $i] :
( ~ ( aNaturalNumber0 @ SV335 )
| ~ ( aNaturalNumber0 @ SY411 )
| ~ ( aNaturalNumber0 @ SY412 )
| ~ ( doDivides0 @ SV335 @ SY411 )
| ~ ( doDivides0 @ SV335 @ ( sdtpldt0 @ SY411 @ SY412 ) )
| ( doDivides0 @ SV335 @ SY412 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4049]) ).
thf(4096,plain,
! [SV336: $i] :
( ( ! [SY413: $i] :
( ~ ( aNaturalNumber0 @ SV336 )
| ~ ( aNaturalNumber0 @ SY413 )
| ( SY413 = sz00 )
| ~ ( doDivides0 @ SV336 @ SY413 )
| ( sdtlseqdt0 @ SV336 @ SY413 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4050]) ).
thf(4097,plain,
! [SV337: $i] :
( ( ! [SY414: $i] :
( ~ ( aNaturalNumber0 @ SV337 )
| ~ ( aNaturalNumber0 @ SY414 )
| ( SV337 = sz00 )
| ~ ( doDivides0 @ SV337 @ SY414 )
| ! [SY415: $i] :
( ~ ( aNaturalNumber0 @ SY415 )
| ( ( sdtasdt0 @ SY415 @ ( sdtsldt0 @ SY414 @ SV337 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY415 @ SY414 ) @ SV337 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4051]) ).
thf(4098,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4054]) ).
thf(4099,plain,
! [SV338: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY416: $i,SY417: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY416 )
| ~ ( aNaturalNumber0 @ SY417 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY417
!= ( sdtasdt0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ SY417 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= SY417 ) ) ) )
| ( SY417 = sz00 )
| ( SY417 = sz10 )
| ! [SY418: $i] :
( ( ( sdtasdt0 @ SV338 @ SY416 )
!= ( sdtasdt0 @ SY417 @ SY418 ) )
| ~ ( aNaturalNumber0 @ SY418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY416 ) @ SY417 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY417 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( ( SY416
!= ( sdtasdt0 @ SY417 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY419 )
| ~ ( aNaturalNumber0 @ SY420 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY420
!= ( sdtasdt0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ SY420 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= SY420 ) ) ) )
| ( SY420 = sz00 )
| ( SY420 = sz10 )
| ! [SY421: $i] :
( ( ( sdtasdt0 @ SV338 @ SY419 )
!= ( sdtasdt0 @ SY420 @ SY421 ) )
| ~ ( aNaturalNumber0 @ SY421 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY419 ) @ SY420 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY420 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ( doDivides0 @ SY420 @ SY419 ) ) )
| ~ ~ ( ~ ! [SY422: $i,SY423: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY422 )
| ~ ( aNaturalNumber0 @ SY423 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY423
!= ( sdtasdt0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ SY423 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= SY423 ) ) ) )
| ( SY423 = sz00 )
| ( SY423 = sz10 )
| ! [SY424: $i] :
( ( ( sdtasdt0 @ SV338 @ SY422 )
!= ( sdtasdt0 @ SY423 @ SY424 ) )
| ~ ( aNaturalNumber0 @ SY424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY422 ) @ SY423 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY423 @ SV338 )
| ~ ( ( SY422
!= ( sdtasdt0 @ SY423 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) ) )
| ~ ! [SY425: $i,SY426: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY425 )
| ~ ( aNaturalNumber0 @ SY426 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY426
!= ( sdtasdt0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ SY426 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= SY426 ) ) ) )
| ( SY426 = sz00 )
| ( SY426 = sz10 )
| ! [SY427: $i] :
( ( ( sdtasdt0 @ SV338 @ SY425 )
!= ( sdtasdt0 @ SY426 @ SY427 ) )
| ~ ( aNaturalNumber0 @ SY427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY425 ) @ SY426 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY426 @ SV338 )
| ( doDivides0 @ SY426 @ SY425 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY428: $i,SY429: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY428 )
| ~ ( aNaturalNumber0 @ SY429 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY429
!= ( sdtasdt0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ SY429 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= SY429 ) ) ) )
| ( SY429 = sz00 )
| ( SY429 = sz10 )
| ~ ( doDivides0 @ SY429 @ ( sdtasdt0 @ SV338 @ SY428 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY428 ) @ SY429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY429 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( ( SY428
!= ( sdtasdt0 @ SY429 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) ) )
| ~ ! [SY430: $i,SY431: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY430 )
| ~ ( aNaturalNumber0 @ SY431 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY431
!= ( sdtasdt0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ SY431 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= SY431 ) ) ) )
| ( SY431 = sz00 )
| ( SY431 = sz10 )
| ~ ( doDivides0 @ SY431 @ ( sdtasdt0 @ SV338 @ SY430 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY430 ) @ SY431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY431 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ( doDivides0 @ SY431 @ SY430 ) ) )
| ~ ~ ( ~ ! [SY432: $i,SY433: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY432 )
| ~ ( aNaturalNumber0 @ SY433 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY433
!= ( sdtasdt0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ SY433 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= SY433 ) ) ) )
| ( SY433 = sz00 )
| ( SY433 = sz10 )
| ~ ( doDivides0 @ SY433 @ ( sdtasdt0 @ SV338 @ SY432 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY432 ) @ SY433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY433 @ SV338 )
| ~ ( ( SY432
!= ( sdtasdt0 @ SY433 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY434 )
| ~ ( aNaturalNumber0 @ SY435 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY435
!= ( sdtasdt0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ SY435 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= SY435 ) ) ) )
| ( SY435 = sz00 )
| ( SY435 = sz10 )
| ~ ( doDivides0 @ SY435 @ ( sdtasdt0 @ SV338 @ SY434 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY434 ) @ SY435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY435 @ SV338 )
| ( doDivides0 @ SY435 @ SY434 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY436: $i,SY437: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY436 )
| ~ ( aNaturalNumber0 @ SY437 )
| ~ ( isPrime0 @ SY437 )
| ! [SY438: $i] :
( ( ( sdtasdt0 @ SV338 @ SY436 )
!= ( sdtasdt0 @ SY437 @ SY438 ) )
| ~ ( aNaturalNumber0 @ SY438 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY436 ) @ SY437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY437 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( ( SY436
!= ( sdtasdt0 @ SY437 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) ) )
| ~ ! [SY439: $i,SY440: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY439 )
| ~ ( aNaturalNumber0 @ SY440 )
| ~ ( isPrime0 @ SY440 )
| ! [SY441: $i] :
( ( ( sdtasdt0 @ SV338 @ SY439 )
!= ( sdtasdt0 @ SY440 @ SY441 ) )
| ~ ( aNaturalNumber0 @ SY441 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY439 ) @ SY440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY440 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ( doDivides0 @ SY440 @ SY439 ) ) )
| ~ ~ ( ~ ! [SY442: $i,SY443: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY442 )
| ~ ( aNaturalNumber0 @ SY443 )
| ~ ( isPrime0 @ SY443 )
| ! [SY444: $i] :
( ( ( sdtasdt0 @ SV338 @ SY442 )
!= ( sdtasdt0 @ SY443 @ SY444 ) )
| ~ ( aNaturalNumber0 @ SY444 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY442 ) @ SY443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY443 @ SV338 )
| ~ ( ( SY442
!= ( sdtasdt0 @ SY443 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) ) )
| ~ ! [SY445: $i,SY446: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY445 )
| ~ ( aNaturalNumber0 @ SY446 )
| ~ ( isPrime0 @ SY446 )
| ! [SY447: $i] :
( ( ( sdtasdt0 @ SV338 @ SY445 )
!= ( sdtasdt0 @ SY446 @ SY447 ) )
| ~ ( aNaturalNumber0 @ SY447 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY445 ) @ SY446 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY446 @ SV338 )
| ( doDivides0 @ SY446 @ SY445 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY448 )
| ~ ( aNaturalNumber0 @ SY449 )
| ~ ( isPrime0 @ SY449 )
| ~ ( doDivides0 @ SY449 @ ( sdtasdt0 @ SV338 @ SY448 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY448 ) @ SY449 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY449 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( ( SY448
!= ( sdtasdt0 @ SY449 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) ) )
| ~ ! [SY450: $i,SY451: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY450 )
| ~ ( aNaturalNumber0 @ SY451 )
| ~ ( isPrime0 @ SY451 )
| ~ ( doDivides0 @ SY451 @ ( sdtasdt0 @ SV338 @ SY450 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY450 ) @ SY451 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY451 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ( doDivides0 @ SY451 @ SY450 ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY452 )
| ~ ( aNaturalNumber0 @ SY453 )
| ~ ( isPrime0 @ SY453 )
| ~ ( doDivides0 @ SY453 @ ( sdtasdt0 @ SV338 @ SY452 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY452 ) @ SY453 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY453 @ SV338 )
| ~ ( ( SY452
!= ( sdtasdt0 @ SY453 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) ) )
| ~ ! [SY454: $i,SY455: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY454 )
| ~ ( aNaturalNumber0 @ SY455 )
| ~ ( isPrime0 @ SY455 )
| ~ ( doDivides0 @ SY455 @ ( sdtasdt0 @ SV338 @ SY454 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY454 ) @ SY455 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY455 @ SV338 )
| ( doDivides0 @ SY455 @ SY454 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4055]) ).
thf(4100,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
| ~ ( isPrime0 @ xr ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4056]) ).
thf(4101,plain,
( ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4057]) ).
thf(4102,plain,
! [SV339: $i] :
( ( ! [SY456: $i] :
( ~ ( aNaturalNumber0 @ SV339 )
| ~ ( aNaturalNumber0 @ SY456 )
| ( SV339 = SY456 )
| ~ ( sdtlseqdt0 @ SV339 @ SY456 )
| ~ ( ~ ~ ( ~ ! [SY457: $i] :
( ~ ( aNaturalNumber0 @ SY457 )
| ( ( sdtpldt0 @ SV339 @ SY457 )
!= ( sdtpldt0 @ SY456 @ SY457 ) ) )
| ~ ~ ( ~ ! [SY458: $i] :
( ~ ( aNaturalNumber0 @ SY458 )
| ( ( sdtpldt0 @ SY458 @ SV339 )
!= ( sdtpldt0 @ SY458 @ SY456 ) ) )
| ~ ! [SY459: $i] :
( ~ ( aNaturalNumber0 @ SY459 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY459 @ SV339 ) @ ( sdtpldt0 @ SY459 @ SY456 ) ) ) ) )
| ~ ! [SY460: $i] :
( ~ ( aNaturalNumber0 @ SY460 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV339 @ SY460 ) @ ( sdtpldt0 @ SY456 @ SY460 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4058]) ).
thf(4103,plain,
! [SV340: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY461: $i,SY462: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY461 )
| ~ ( aNaturalNumber0 @ SY462 )
| ( SV340 = sz00 )
| ( SY461 = SY462 )
| ~ ( sdtlseqdt0 @ SY461 @ SY462 )
| ( ( sdtasdt0 @ SY461 @ SV340 )
!= ( sdtasdt0 @ SY462 @ SV340 ) ) )
| ~ ~ ( ~ ! [SY463: $i,SY464: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY463 )
| ~ ( aNaturalNumber0 @ SY464 )
| ( SV340 = sz00 )
| ( SY463 = SY464 )
| ~ ( sdtlseqdt0 @ SY463 @ SY464 )
| ( ( sdtasdt0 @ SV340 @ SY463 )
!= ( sdtasdt0 @ SV340 @ SY464 ) ) )
| ~ ! [SY465: $i,SY466: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY465 )
| ~ ( aNaturalNumber0 @ SY466 )
| ( SV340 = sz00 )
| ( SY465 = SY466 )
| ~ ( sdtlseqdt0 @ SY465 @ SY466 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SY465 ) @ ( sdtasdt0 @ SV340 @ SY466 ) ) ) ) )
| ~ ! [SY467: $i,SY468: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY467 )
| ~ ( aNaturalNumber0 @ SY468 )
| ( SV340 = sz00 )
| ( SY467 = SY468 )
| ~ ( sdtlseqdt0 @ SY467 @ SY468 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY467 @ SV340 ) @ ( sdtasdt0 @ SY468 @ SV340 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4059]) ).
thf(4104,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4060]) ).
thf(4105,plain,
! [SV341: $i] :
( ( ~ ( ~ ! [SY469: $i,SY470: $i] :
( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SY469 )
| ~ ( aNaturalNumber0 @ SY470 )
| ( ( sdtasdt0 @ SV341 @ ( sdtpldt0 @ SY469 @ SY470 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV341 @ SY469 ) @ ( sdtasdt0 @ SV341 @ SY470 ) ) ) )
| ~ ! [SY471: $i,SY472: $i] :
( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SY471 )
| ~ ( aNaturalNumber0 @ SY472 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY471 @ SY472 ) @ SV341 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY471 @ SV341 ) @ ( sdtasdt0 @ SY472 @ SV341 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4061]) ).
thf(4106,plain,
! [SV342: $i] :
( ( ~ ( aNaturalNumber0 @ SV342 )
| ( SV342 = sz00 )
| ~ ( ~ ! [SY473: $i,SY474: $i] :
( ~ ( aNaturalNumber0 @ SY473 )
| ~ ( aNaturalNumber0 @ SY474 )
| ( ( sdtasdt0 @ SV342 @ SY473 )
!= ( sdtasdt0 @ SV342 @ SY474 ) )
| ( SY473 = SY474 ) )
| ~ ! [SY475: $i,SY476: $i] :
( ~ ( aNaturalNumber0 @ SY475 )
| ~ ( aNaturalNumber0 @ SY476 )
| ( ( sdtasdt0 @ SY475 @ SV342 )
!= ( sdtasdt0 @ SY476 @ SV342 ) )
| ( SY475 = SY476 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4062]) ).
thf(4107,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4063]) ).
thf(4108,plain,
( ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4064]) ).
thf(4109,plain,
( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
| ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4065]) ).
thf(4110,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
| ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4066]) ).
thf(4111,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4067]) ).
thf(4112,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xm ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4068]) ).
thf(4113,plain,
( ( ~ ( ( sz10 != sz00 ) )
| ~ ( aNaturalNumber0 @ sz10 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4069]) ).
thf(4114,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4070]) ).
thf(4115,plain,
! [SV343: $i] :
( ( ( SV343 = sz10 )
| ( SV343 = sz00 )
| ~ ( aNaturalNumber0 @ SV343 )
| ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV343 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV343 ) @ SV343 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV343 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4071]) ).
thf(4116,plain,
! [SV344: $i] :
( ( ~ ( ~ ! [SY477: $i,SY478: $i] :
( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SY477 )
| ~ ( aNaturalNumber0 @ SY478 )
| ( ( sdtpldt0 @ SV344 @ SY477 )
!= ( sdtpldt0 @ SV344 @ SY478 ) )
| ( SY477 = SY478 ) )
| ~ ! [SY479: $i,SY480: $i] :
( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SY479 )
| ~ ( aNaturalNumber0 @ SY480 )
| ( ( sdtpldt0 @ SY479 @ SV344 )
!= ( sdtpldt0 @ SY480 @ SV344 ) )
| ( SY479 = SY480 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4072]) ).
thf(4117,plain,
( ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4073]) ).
thf(4118,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xm @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4074]) ).
thf(4119,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4075]) ).
thf(4120,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xn ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4076]) ).
thf(4121,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4077]) ).
thf(4122,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) )
| ~ ( sdtlseqdt0 @ xp @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4078]) ).
thf(4123,plain,
! [SV345: $i,SV321: $i] :
( ( ~ ( aNaturalNumber0 @ SV321 )
| ~ ( aNaturalNumber0 @ SV345 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ SV321 @ SV345 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4080]) ).
thf(4124,plain,
! [SV346: $i,SV322: $i] :
( ( ~ ( aNaturalNumber0 @ SV322 )
| ~ ( aNaturalNumber0 @ SV346 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ SV322 @ SV346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4081]) ).
thf(4125,plain,
! [SV347: $i,SV323: $i] :
( ( ~ ( aNaturalNumber0 @ SV323 )
| ~ ( aNaturalNumber0 @ SV347 )
| ( ( sdtpldt0 @ SV323 @ SV347 )
= ( sdtpldt0 @ SV347 @ SV323 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4082]) ).
thf(4126,plain,
! [SV348: $i,SV324: $i] :
( ( ! [SY481: $i] :
( ~ ( aNaturalNumber0 @ SV324 )
| ~ ( aNaturalNumber0 @ SV348 )
| ~ ( aNaturalNumber0 @ SY481 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV324 @ SV348 ) @ SY481 )
= ( sdtpldt0 @ SV324 @ ( sdtpldt0 @ SV348 @ SY481 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4083]) ).
thf(4127,plain,
! [SV349: $i,SV325: $i] :
( ( ~ ( aNaturalNumber0 @ SV325 )
| ~ ( aNaturalNumber0 @ SV349 )
| ( ( sdtasdt0 @ SV325 @ SV349 )
= ( sdtasdt0 @ SV349 @ SV325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4084]) ).
thf(4128,plain,
! [SV350: $i,SV326: $i] :
( ( ! [SY482: $i] :
( ~ ( aNaturalNumber0 @ SV326 )
| ~ ( aNaturalNumber0 @ SV350 )
| ~ ( aNaturalNumber0 @ SY482 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV326 @ SV350 ) @ SY482 )
= ( sdtasdt0 @ SV326 @ ( sdtasdt0 @ SV350 @ SY482 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4085]) ).
thf(4129,plain,
! [SV351: $i,SV327: $i] :
( ( ~ ( aNaturalNumber0 @ SV327 )
| ~ ( aNaturalNumber0 @ SV351 )
| ( ( sdtasdt0 @ SV327 @ SV351 )
!= sz00 )
| ( SV327 = sz00 )
| ( SV351 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4086]) ).
thf(4130,plain,
! [SV328: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV328 ) )
= $true )
| ( ( sdtlseqdt0 @ SV328 @ SV328 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4087]) ).
thf(4131,plain,
! [SV352: $i,SV329: $i] :
( ( ~ ( aNaturalNumber0 @ SV329 )
| ~ ( aNaturalNumber0 @ SV352 )
| ~ ( sdtlseqdt0 @ SV329 @ SV352 )
| ~ ( sdtlseqdt0 @ SV352 @ SV329 )
| ( SV329 = SV352 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4088]) ).
thf(4132,plain,
! [SV353: $i,SV330: $i] :
( ( ! [SY483: $i] :
( ~ ( aNaturalNumber0 @ SV330 )
| ~ ( aNaturalNumber0 @ SV353 )
| ~ ( aNaturalNumber0 @ SY483 )
| ~ ( sdtlseqdt0 @ SV330 @ SV353 )
| ~ ( sdtlseqdt0 @ SV353 @ SY483 )
| ( sdtlseqdt0 @ SV330 @ SY483 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4089]) ).
thf(4133,plain,
! [SV354: $i,SV331: $i] :
( ( ~ ( aNaturalNumber0 @ SV331 )
| ~ ( aNaturalNumber0 @ SV354 )
| ( SV331 = sz00 )
| ( sdtlseqdt0 @ SV354 @ ( sdtasdt0 @ SV354 @ SV331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4090]) ).
thf(4134,plain,
( ( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[4091]) ).
thf(4135,plain,
! [SV355: $i,SV332: $i] :
( ( ~ ( aNaturalNumber0 @ SV332 )
| ~ ( aNaturalNumber0 @ SV355 )
| ( SV332 = SV355 )
| ~ ( sdtlseqdt0 @ SV332 @ SV355 )
| ( iLess0 @ SV332 @ SV355 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4092]) ).
thf(4136,plain,
! [SV356: $i,SV333: $i] :
( ( ! [SY484: $i] :
( ~ ( aNaturalNumber0 @ SV333 )
| ~ ( aNaturalNumber0 @ SV356 )
| ~ ( aNaturalNumber0 @ SY484 )
| ~ ( doDivides0 @ SV333 @ SV356 )
| ~ ( doDivides0 @ SV356 @ SY484 )
| ( doDivides0 @ SV333 @ SY484 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4093]) ).
thf(4137,plain,
! [SV357: $i,SV334: $i] :
( ( ! [SY485: $i] :
( ~ ( aNaturalNumber0 @ SV334 )
| ~ ( aNaturalNumber0 @ SV357 )
| ~ ( aNaturalNumber0 @ SY485 )
| ~ ( doDivides0 @ SV334 @ SV357 )
| ~ ( doDivides0 @ SV334 @ SY485 )
| ( doDivides0 @ SV334 @ ( sdtpldt0 @ SV357 @ SY485 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4094]) ).
thf(4138,plain,
! [SV358: $i,SV335: $i] :
( ( ! [SY486: $i] :
( ~ ( aNaturalNumber0 @ SV335 )
| ~ ( aNaturalNumber0 @ SV358 )
| ~ ( aNaturalNumber0 @ SY486 )
| ~ ( doDivides0 @ SV335 @ SV358 )
| ~ ( doDivides0 @ SV335 @ ( sdtpldt0 @ SV358 @ SY486 ) )
| ( doDivides0 @ SV335 @ SY486 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4095]) ).
thf(4139,plain,
! [SV359: $i,SV336: $i] :
( ( ~ ( aNaturalNumber0 @ SV336 )
| ~ ( aNaturalNumber0 @ SV359 )
| ( SV359 = sz00 )
| ~ ( doDivides0 @ SV336 @ SV359 )
| ( sdtlseqdt0 @ SV336 @ SV359 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4096]) ).
thf(4140,plain,
! [SV360: $i,SV337: $i] :
( ( ~ ( aNaturalNumber0 @ SV337 )
| ~ ( aNaturalNumber0 @ SV360 )
| ( SV337 = sz00 )
| ~ ( doDivides0 @ SV337 @ SV360 )
| ! [SY487: $i] :
( ~ ( aNaturalNumber0 @ SY487 )
| ( ( sdtasdt0 @ SY487 @ ( sdtsldt0 @ SV360 @ SV337 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY487 @ SV360 ) @ SV337 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4097]) ).
thf(4141,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4098]) ).
thf(4142,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4098]) ).
thf(4143,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY416: $i,SY417: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY416 )
| ~ ( aNaturalNumber0 @ SY417 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY417
!= ( sdtasdt0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ SY417 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= SY417 ) ) ) )
| ( SY417 = sz00 )
| ( SY417 = sz10 )
| ! [SY418: $i] :
( ( ( sdtasdt0 @ SV338 @ SY416 )
!= ( sdtasdt0 @ SY417 @ SY418 ) )
| ~ ( aNaturalNumber0 @ SY418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY416 ) @ SY417 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY417 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( ( SY416
!= ( sdtasdt0 @ SY417 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY419 )
| ~ ( aNaturalNumber0 @ SY420 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY420
!= ( sdtasdt0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ SY420 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= SY420 ) ) ) )
| ( SY420 = sz00 )
| ( SY420 = sz10 )
| ! [SY421: $i] :
( ( ( sdtasdt0 @ SV338 @ SY419 )
!= ( sdtasdt0 @ SY420 @ SY421 ) )
| ~ ( aNaturalNumber0 @ SY421 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY419 ) @ SY420 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY420 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ( doDivides0 @ SY420 @ SY419 ) ) )
| ~ ~ ( ~ ! [SY422: $i,SY423: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY422 )
| ~ ( aNaturalNumber0 @ SY423 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY423
!= ( sdtasdt0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ SY423 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= SY423 ) ) ) )
| ( SY423 = sz00 )
| ( SY423 = sz10 )
| ! [SY424: $i] :
( ( ( sdtasdt0 @ SV338 @ SY422 )
!= ( sdtasdt0 @ SY423 @ SY424 ) )
| ~ ( aNaturalNumber0 @ SY424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY422 ) @ SY423 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY423 @ SV338 )
| ~ ( ( SY422
!= ( sdtasdt0 @ SY423 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) ) )
| ~ ! [SY425: $i,SY426: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY425 )
| ~ ( aNaturalNumber0 @ SY426 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY426
!= ( sdtasdt0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ SY426 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= SY426 ) ) ) )
| ( SY426 = sz00 )
| ( SY426 = sz10 )
| ! [SY427: $i] :
( ( ( sdtasdt0 @ SV338 @ SY425 )
!= ( sdtasdt0 @ SY426 @ SY427 ) )
| ~ ( aNaturalNumber0 @ SY427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY425 ) @ SY426 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY426 @ SV338 )
| ( doDivides0 @ SY426 @ SY425 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY428: $i,SY429: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY428 )
| ~ ( aNaturalNumber0 @ SY429 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY429
!= ( sdtasdt0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ SY429 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= SY429 ) ) ) )
| ( SY429 = sz00 )
| ( SY429 = sz10 )
| ~ ( doDivides0 @ SY429 @ ( sdtasdt0 @ SV338 @ SY428 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY428 ) @ SY429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY429 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( ( SY428
!= ( sdtasdt0 @ SY429 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) ) )
| ~ ! [SY430: $i,SY431: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY430 )
| ~ ( aNaturalNumber0 @ SY431 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY431
!= ( sdtasdt0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ SY431 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= SY431 ) ) ) )
| ( SY431 = sz00 )
| ( SY431 = sz10 )
| ~ ( doDivides0 @ SY431 @ ( sdtasdt0 @ SV338 @ SY430 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY430 ) @ SY431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY431 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ( doDivides0 @ SY431 @ SY430 ) ) )
| ~ ~ ( ~ ! [SY432: $i,SY433: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY432 )
| ~ ( aNaturalNumber0 @ SY433 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY433
!= ( sdtasdt0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ SY433 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= SY433 ) ) ) )
| ( SY433 = sz00 )
| ( SY433 = sz10 )
| ~ ( doDivides0 @ SY433 @ ( sdtasdt0 @ SV338 @ SY432 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY432 ) @ SY433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY433 @ SV338 )
| ~ ( ( SY432
!= ( sdtasdt0 @ SY433 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY434 )
| ~ ( aNaturalNumber0 @ SY435 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY435
!= ( sdtasdt0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ SY435 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= SY435 ) ) ) )
| ( SY435 = sz00 )
| ( SY435 = sz10 )
| ~ ( doDivides0 @ SY435 @ ( sdtasdt0 @ SV338 @ SY434 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY434 ) @ SY435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY435 @ SV338 )
| ( doDivides0 @ SY435 @ SY434 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY436: $i,SY437: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY436 )
| ~ ( aNaturalNumber0 @ SY437 )
| ~ ( isPrime0 @ SY437 )
| ! [SY438: $i] :
( ( ( sdtasdt0 @ SV338 @ SY436 )
!= ( sdtasdt0 @ SY437 @ SY438 ) )
| ~ ( aNaturalNumber0 @ SY438 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY436 ) @ SY437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY437 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( ( SY436
!= ( sdtasdt0 @ SY437 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) ) )
| ~ ! [SY439: $i,SY440: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY439 )
| ~ ( aNaturalNumber0 @ SY440 )
| ~ ( isPrime0 @ SY440 )
| ! [SY441: $i] :
( ( ( sdtasdt0 @ SV338 @ SY439 )
!= ( sdtasdt0 @ SY440 @ SY441 ) )
| ~ ( aNaturalNumber0 @ SY441 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY439 ) @ SY440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY440 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ( doDivides0 @ SY440 @ SY439 ) ) )
| ~ ~ ( ~ ! [SY442: $i,SY443: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY442 )
| ~ ( aNaturalNumber0 @ SY443 )
| ~ ( isPrime0 @ SY443 )
| ! [SY444: $i] :
( ( ( sdtasdt0 @ SV338 @ SY442 )
!= ( sdtasdt0 @ SY443 @ SY444 ) )
| ~ ( aNaturalNumber0 @ SY444 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY442 ) @ SY443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY443 @ SV338 )
| ~ ( ( SY442
!= ( sdtasdt0 @ SY443 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) ) )
| ~ ! [SY445: $i,SY446: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY445 )
| ~ ( aNaturalNumber0 @ SY446 )
| ~ ( isPrime0 @ SY446 )
| ! [SY447: $i] :
( ( ( sdtasdt0 @ SV338 @ SY445 )
!= ( sdtasdt0 @ SY446 @ SY447 ) )
| ~ ( aNaturalNumber0 @ SY447 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY445 ) @ SY446 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY446 @ SV338 )
| ( doDivides0 @ SY446 @ SY445 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY448 )
| ~ ( aNaturalNumber0 @ SY449 )
| ~ ( isPrime0 @ SY449 )
| ~ ( doDivides0 @ SY449 @ ( sdtasdt0 @ SV338 @ SY448 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY448 ) @ SY449 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY449 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( ( SY448
!= ( sdtasdt0 @ SY449 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) ) )
| ~ ! [SY450: $i,SY451: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY450 )
| ~ ( aNaturalNumber0 @ SY451 )
| ~ ( isPrime0 @ SY451 )
| ~ ( doDivides0 @ SY451 @ ( sdtasdt0 @ SV338 @ SY450 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY450 ) @ SY451 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY451 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ( doDivides0 @ SY451 @ SY450 ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY452 )
| ~ ( aNaturalNumber0 @ SY453 )
| ~ ( isPrime0 @ SY453 )
| ~ ( doDivides0 @ SY453 @ ( sdtasdt0 @ SV338 @ SY452 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY452 ) @ SY453 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY453 @ SV338 )
| ~ ( ( SY452
!= ( sdtasdt0 @ SY453 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) ) )
| ~ ! [SY454: $i,SY455: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY454 )
| ~ ( aNaturalNumber0 @ SY455 )
| ~ ( isPrime0 @ SY455 )
| ~ ( doDivides0 @ SY455 @ ( sdtasdt0 @ SV338 @ SY454 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY454 ) @ SY455 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY455 @ SV338 )
| ( doDivides0 @ SY455 @ SY454 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4099]) ).
thf(4144,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4100]) ).
thf(4145,plain,
( ( ~ ( isPrime0 @ xr ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4100]) ).
thf(4146,plain,
( ( ~ ( ( xk != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4101]) ).
thf(4147,plain,
( ( ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4101]) ).
thf(4148,plain,
! [SV361: $i,SV339: $i] :
( ( ~ ( aNaturalNumber0 @ SV339 )
| ~ ( aNaturalNumber0 @ SV361 )
| ( SV339 = SV361 )
| ~ ( sdtlseqdt0 @ SV339 @ SV361 )
| ~ ( ~ ~ ( ~ ! [SY488: $i] :
( ~ ( aNaturalNumber0 @ SY488 )
| ( ( sdtpldt0 @ SV339 @ SY488 )
!= ( sdtpldt0 @ SV361 @ SY488 ) ) )
| ~ ~ ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) )
| ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) ) )
| ~ ! [SY491: $i] :
( ~ ( aNaturalNumber0 @ SY491 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV339 @ SY491 ) @ ( sdtpldt0 @ SV361 @ SY491 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4102]) ).
thf(4149,plain,
! [SV340: $i] :
( ( ~ ~ ( ~ ! [SY461: $i,SY462: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY461 )
| ~ ( aNaturalNumber0 @ SY462 )
| ( SV340 = sz00 )
| ( SY461 = SY462 )
| ~ ( sdtlseqdt0 @ SY461 @ SY462 )
| ( ( sdtasdt0 @ SY461 @ SV340 )
!= ( sdtasdt0 @ SY462 @ SV340 ) ) )
| ~ ~ ( ~ ! [SY463: $i,SY464: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY463 )
| ~ ( aNaturalNumber0 @ SY464 )
| ( SV340 = sz00 )
| ( SY463 = SY464 )
| ~ ( sdtlseqdt0 @ SY463 @ SY464 )
| ( ( sdtasdt0 @ SV340 @ SY463 )
!= ( sdtasdt0 @ SV340 @ SY464 ) ) )
| ~ ! [SY465: $i,SY466: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY465 )
| ~ ( aNaturalNumber0 @ SY466 )
| ( SV340 = sz00 )
| ( SY465 = SY466 )
| ~ ( sdtlseqdt0 @ SY465 @ SY466 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SY465 ) @ ( sdtasdt0 @ SV340 @ SY466 ) ) ) ) )
| ~ ! [SY467: $i,SY468: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY467 )
| ~ ( aNaturalNumber0 @ SY468 )
| ( SV340 = sz00 )
| ( SY467 = SY468 )
| ~ ( sdtlseqdt0 @ SY467 @ SY468 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY467 @ SV340 ) @ ( sdtasdt0 @ SY468 @ SV340 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4103]) ).
thf(4150,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4104]) ).
thf(4151,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4104]) ).
thf(4152,plain,
! [SV341: $i] :
( ( ~ ! [SY469: $i,SY470: $i] :
( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SY469 )
| ~ ( aNaturalNumber0 @ SY470 )
| ( ( sdtasdt0 @ SV341 @ ( sdtpldt0 @ SY469 @ SY470 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV341 @ SY469 ) @ ( sdtasdt0 @ SV341 @ SY470 ) ) ) )
| ~ ! [SY471: $i,SY472: $i] :
( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SY471 )
| ~ ( aNaturalNumber0 @ SY472 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY471 @ SY472 ) @ SV341 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY471 @ SV341 ) @ ( sdtasdt0 @ SY472 @ SV341 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4105]) ).
thf(4153,plain,
! [SV342: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV342 ) )
= $true )
| ( ( ( SV342 = sz00 )
| ~ ( ~ ! [SY473: $i,SY474: $i] :
( ~ ( aNaturalNumber0 @ SY473 )
| ~ ( aNaturalNumber0 @ SY474 )
| ( ( sdtasdt0 @ SV342 @ SY473 )
!= ( sdtasdt0 @ SV342 @ SY474 ) )
| ( SY473 = SY474 ) )
| ~ ! [SY475: $i,SY476: $i] :
( ~ ( aNaturalNumber0 @ SY475 )
| ~ ( aNaturalNumber0 @ SY476 )
| ( ( sdtasdt0 @ SY475 @ SV342 )
!= ( sdtasdt0 @ SY476 @ SV342 ) )
| ( SY475 = SY476 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4106]) ).
thf(4154,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4107]) ).
thf(4155,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4107]) ).
thf(4156,plain,
( ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4108]) ).
thf(4157,plain,
( ( ~ ( aNaturalNumber0 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4108]) ).
thf(4158,plain,
( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4109]) ).
thf(4159,plain,
( ( ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4109]) ).
thf(4160,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4110]) ).
thf(4161,plain,
( ( ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4110]) ).
thf(4162,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4111]) ).
thf(4163,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4111]) ).
thf(4164,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4112]) ).
thf(4165,plain,
( ( ~ ~ ( sdtlseqdt0 @ xp @ xm ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4112]) ).
thf(4166,plain,
( ( ~ ( ( sz10 != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4113]) ).
thf(4167,plain,
( ( ~ ( aNaturalNumber0 @ sz10 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4113]) ).
thf(4168,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4114]) ).
thf(4169,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4114]) ).
thf(4170,plain,
! [SV343: $i] :
( ( ( ( SV343 = sz10 )
| ( SV343 = sz00 )
| ~ ( aNaturalNumber0 @ SV343 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV343 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV343 ) @ SV343 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV343 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4115]) ).
thf(4171,plain,
! [SV344: $i] :
( ( ~ ! [SY477: $i,SY478: $i] :
( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SY477 )
| ~ ( aNaturalNumber0 @ SY478 )
| ( ( sdtpldt0 @ SV344 @ SY477 )
!= ( sdtpldt0 @ SV344 @ SY478 ) )
| ( SY477 = SY478 ) )
| ~ ! [SY479: $i,SY480: $i] :
( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SY479 )
| ~ ( aNaturalNumber0 @ SY480 )
| ( ( sdtpldt0 @ SY479 @ SV344 )
!= ( sdtpldt0 @ SY480 @ SV344 ) )
| ( SY479 = SY480 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4116]) ).
thf(4172,plain,
( ( ~ ( ( xk != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4117]) ).
thf(4173,plain,
( ( ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4117]) ).
thf(4174,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4118]) ).
thf(4175,plain,
( ( ~ ( sdtlseqdt0 @ xm @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4118]) ).
thf(4176,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4119]) ).
thf(4177,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4119]) ).
thf(4178,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4120]) ).
thf(4179,plain,
( ( ~ ~ ( sdtlseqdt0 @ xp @ xn ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4120]) ).
thf(4180,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4121]) ).
thf(4181,plain,
( ( ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4121]) ).
thf(4182,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4122]) ).
thf(4183,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4122]) ).
thf(4184,plain,
! [SV345: $i,SV321: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV321 )
| ~ ( aNaturalNumber0 @ SV345 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV321 @ SV345 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4123]) ).
thf(4185,plain,
! [SV346: $i,SV322: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV322 )
| ~ ( aNaturalNumber0 @ SV346 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV322 @ SV346 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4124]) ).
thf(4186,plain,
! [SV347: $i,SV323: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV323 )
| ~ ( aNaturalNumber0 @ SV347 ) )
= $true )
| ( ( ( sdtpldt0 @ SV323 @ SV347 )
= ( sdtpldt0 @ SV347 @ SV323 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4125]) ).
thf(4187,plain,
! [SV362: $i,SV348: $i,SV324: $i] :
( ( ~ ( aNaturalNumber0 @ SV324 )
| ~ ( aNaturalNumber0 @ SV348 )
| ~ ( aNaturalNumber0 @ SV362 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV324 @ SV348 ) @ SV362 )
= ( sdtpldt0 @ SV324 @ ( sdtpldt0 @ SV348 @ SV362 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4126]) ).
thf(4188,plain,
! [SV349: $i,SV325: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV325 )
| ~ ( aNaturalNumber0 @ SV349 ) )
= $true )
| ( ( ( sdtasdt0 @ SV325 @ SV349 )
= ( sdtasdt0 @ SV349 @ SV325 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4127]) ).
thf(4189,plain,
! [SV363: $i,SV350: $i,SV326: $i] :
( ( ~ ( aNaturalNumber0 @ SV326 )
| ~ ( aNaturalNumber0 @ SV350 )
| ~ ( aNaturalNumber0 @ SV363 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV326 @ SV350 ) @ SV363 )
= ( sdtasdt0 @ SV326 @ ( sdtasdt0 @ SV350 @ SV363 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4128]) ).
thf(4190,plain,
! [SV351: $i,SV327: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV327 )
| ~ ( aNaturalNumber0 @ SV351 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV327 @ SV351 )
!= sz00 )
| ( SV327 = sz00 )
| ( SV351 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4129]) ).
thf(4191,plain,
! [SV328: $i] :
( ( ( aNaturalNumber0 @ SV328 )
= $false )
| ( ( sdtlseqdt0 @ SV328 @ SV328 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4130]) ).
thf(4192,plain,
! [SV352: $i,SV329: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV329 )
| ~ ( aNaturalNumber0 @ SV352 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV329 @ SV352 )
| ~ ( sdtlseqdt0 @ SV352 @ SV329 )
| ( SV329 = SV352 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4131]) ).
thf(4193,plain,
! [SV364: $i,SV353: $i,SV330: $i] :
( ( ~ ( aNaturalNumber0 @ SV330 )
| ~ ( aNaturalNumber0 @ SV353 )
| ~ ( aNaturalNumber0 @ SV364 )
| ~ ( sdtlseqdt0 @ SV330 @ SV353 )
| ~ ( sdtlseqdt0 @ SV353 @ SV364 )
| ( sdtlseqdt0 @ SV330 @ SV364 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4132]) ).
thf(4194,plain,
! [SV354: $i,SV331: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV331 )
| ~ ( aNaturalNumber0 @ SV354 ) )
= $true )
| ( ( ( SV331 = sz00 )
| ( sdtlseqdt0 @ SV354 @ ( sdtasdt0 @ SV354 @ SV331 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4133]) ).
thf(4195,plain,
! [SV365: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV365 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4134]) ).
thf(4196,plain,
! [SV355: $i,SV332: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV332 )
| ~ ( aNaturalNumber0 @ SV355 ) )
= $true )
| ( ( ( SV332 = SV355 )
| ~ ( sdtlseqdt0 @ SV332 @ SV355 )
| ( iLess0 @ SV332 @ SV355 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4135]) ).
thf(4197,plain,
! [SV366: $i,SV356: $i,SV333: $i] :
( ( ~ ( aNaturalNumber0 @ SV333 )
| ~ ( aNaturalNumber0 @ SV356 )
| ~ ( aNaturalNumber0 @ SV366 )
| ~ ( doDivides0 @ SV333 @ SV356 )
| ~ ( doDivides0 @ SV356 @ SV366 )
| ( doDivides0 @ SV333 @ SV366 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4136]) ).
thf(4198,plain,
! [SV367: $i,SV357: $i,SV334: $i] :
( ( ~ ( aNaturalNumber0 @ SV334 )
| ~ ( aNaturalNumber0 @ SV357 )
| ~ ( aNaturalNumber0 @ SV367 )
| ~ ( doDivides0 @ SV334 @ SV357 )
| ~ ( doDivides0 @ SV334 @ SV367 )
| ( doDivides0 @ SV334 @ ( sdtpldt0 @ SV357 @ SV367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4137]) ).
thf(4199,plain,
! [SV368: $i,SV358: $i,SV335: $i] :
( ( ~ ( aNaturalNumber0 @ SV335 )
| ~ ( aNaturalNumber0 @ SV358 )
| ~ ( aNaturalNumber0 @ SV368 )
| ~ ( doDivides0 @ SV335 @ SV358 )
| ~ ( doDivides0 @ SV335 @ ( sdtpldt0 @ SV358 @ SV368 ) )
| ( doDivides0 @ SV335 @ SV368 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4138]) ).
thf(4200,plain,
! [SV359: $i,SV336: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV336 )
| ~ ( aNaturalNumber0 @ SV359 ) )
= $true )
| ( ( ( SV359 = sz00 )
| ~ ( doDivides0 @ SV336 @ SV359 )
| ( sdtlseqdt0 @ SV336 @ SV359 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4139]) ).
thf(4201,plain,
! [SV360: $i,SV337: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV337 )
| ~ ( aNaturalNumber0 @ SV360 ) )
= $true )
| ( ( ( SV337 = sz00 )
| ~ ( doDivides0 @ SV337 @ SV360 )
| ! [SY487: $i] :
( ~ ( aNaturalNumber0 @ SY487 )
| ( ( sdtasdt0 @ SY487 @ ( sdtsldt0 @ SV360 @ SV337 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY487 @ SV360 ) @ SV337 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4140]) ).
thf(4202,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4141]) ).
thf(4203,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4142]) ).
thf(4204,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY416: $i,SY417: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY416 )
| ~ ( aNaturalNumber0 @ SY417 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY417
!= ( sdtasdt0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ SY417 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= SY417 ) ) ) )
| ( SY417 = sz00 )
| ( SY417 = sz10 )
| ! [SY418: $i] :
( ( ( sdtasdt0 @ SV338 @ SY416 )
!= ( sdtasdt0 @ SY417 @ SY418 ) )
| ~ ( aNaturalNumber0 @ SY418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY416 ) @ SY417 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY417 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( ( SY416
!= ( sdtasdt0 @ SY417 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY419 )
| ~ ( aNaturalNumber0 @ SY420 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY420
!= ( sdtasdt0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ SY420 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= SY420 ) ) ) )
| ( SY420 = sz00 )
| ( SY420 = sz10 )
| ! [SY421: $i] :
( ( ( sdtasdt0 @ SV338 @ SY419 )
!= ( sdtasdt0 @ SY420 @ SY421 ) )
| ~ ( aNaturalNumber0 @ SY421 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY419 ) @ SY420 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY420 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ( doDivides0 @ SY420 @ SY419 ) ) )
| ~ ~ ( ~ ! [SY422: $i,SY423: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY422 )
| ~ ( aNaturalNumber0 @ SY423 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY423
!= ( sdtasdt0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ SY423 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= SY423 ) ) ) )
| ( SY423 = sz00 )
| ( SY423 = sz10 )
| ! [SY424: $i] :
( ( ( sdtasdt0 @ SV338 @ SY422 )
!= ( sdtasdt0 @ SY423 @ SY424 ) )
| ~ ( aNaturalNumber0 @ SY424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY422 ) @ SY423 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY423 @ SV338 )
| ~ ( ( SY422
!= ( sdtasdt0 @ SY423 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) ) )
| ~ ! [SY425: $i,SY426: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY425 )
| ~ ( aNaturalNumber0 @ SY426 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY426
!= ( sdtasdt0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ SY426 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= SY426 ) ) ) )
| ( SY426 = sz00 )
| ( SY426 = sz10 )
| ! [SY427: $i] :
( ( ( sdtasdt0 @ SV338 @ SY425 )
!= ( sdtasdt0 @ SY426 @ SY427 ) )
| ~ ( aNaturalNumber0 @ SY427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY425 ) @ SY426 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY426 @ SV338 )
| ( doDivides0 @ SY426 @ SY425 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY428: $i,SY429: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY428 )
| ~ ( aNaturalNumber0 @ SY429 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY429
!= ( sdtasdt0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ SY429 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= SY429 ) ) ) )
| ( SY429 = sz00 )
| ( SY429 = sz10 )
| ~ ( doDivides0 @ SY429 @ ( sdtasdt0 @ SV338 @ SY428 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY428 ) @ SY429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY429 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( ( SY428
!= ( sdtasdt0 @ SY429 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) ) )
| ~ ! [SY430: $i,SY431: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY430 )
| ~ ( aNaturalNumber0 @ SY431 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY431
!= ( sdtasdt0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ SY431 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= SY431 ) ) ) )
| ( SY431 = sz00 )
| ( SY431 = sz10 )
| ~ ( doDivides0 @ SY431 @ ( sdtasdt0 @ SV338 @ SY430 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY430 ) @ SY431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY431 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ( doDivides0 @ SY431 @ SY430 ) ) )
| ~ ~ ( ~ ! [SY432: $i,SY433: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY432 )
| ~ ( aNaturalNumber0 @ SY433 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY433
!= ( sdtasdt0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ SY433 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= SY433 ) ) ) )
| ( SY433 = sz00 )
| ( SY433 = sz10 )
| ~ ( doDivides0 @ SY433 @ ( sdtasdt0 @ SV338 @ SY432 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY432 ) @ SY433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY433 @ SV338 )
| ~ ( ( SY432
!= ( sdtasdt0 @ SY433 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY434 )
| ~ ( aNaturalNumber0 @ SY435 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY435
!= ( sdtasdt0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ SY435 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= SY435 ) ) ) )
| ( SY435 = sz00 )
| ( SY435 = sz10 )
| ~ ( doDivides0 @ SY435 @ ( sdtasdt0 @ SV338 @ SY434 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY434 ) @ SY435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY435 @ SV338 )
| ( doDivides0 @ SY435 @ SY434 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4143]) ).
thf(4205,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY436: $i,SY437: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY436 )
| ~ ( aNaturalNumber0 @ SY437 )
| ~ ( isPrime0 @ SY437 )
| ! [SY438: $i] :
( ( ( sdtasdt0 @ SV338 @ SY436 )
!= ( sdtasdt0 @ SY437 @ SY438 ) )
| ~ ( aNaturalNumber0 @ SY438 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY436 ) @ SY437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY437 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( ( SY436
!= ( sdtasdt0 @ SY437 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) ) )
| ~ ! [SY439: $i,SY440: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY439 )
| ~ ( aNaturalNumber0 @ SY440 )
| ~ ( isPrime0 @ SY440 )
| ! [SY441: $i] :
( ( ( sdtasdt0 @ SV338 @ SY439 )
!= ( sdtasdt0 @ SY440 @ SY441 ) )
| ~ ( aNaturalNumber0 @ SY441 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY439 ) @ SY440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY440 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ( doDivides0 @ SY440 @ SY439 ) ) )
| ~ ~ ( ~ ! [SY442: $i,SY443: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY442 )
| ~ ( aNaturalNumber0 @ SY443 )
| ~ ( isPrime0 @ SY443 )
| ! [SY444: $i] :
( ( ( sdtasdt0 @ SV338 @ SY442 )
!= ( sdtasdt0 @ SY443 @ SY444 ) )
| ~ ( aNaturalNumber0 @ SY444 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY442 ) @ SY443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY443 @ SV338 )
| ~ ( ( SY442
!= ( sdtasdt0 @ SY443 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) ) )
| ~ ! [SY445: $i,SY446: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY445 )
| ~ ( aNaturalNumber0 @ SY446 )
| ~ ( isPrime0 @ SY446 )
| ! [SY447: $i] :
( ( ( sdtasdt0 @ SV338 @ SY445 )
!= ( sdtasdt0 @ SY446 @ SY447 ) )
| ~ ( aNaturalNumber0 @ SY447 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY445 ) @ SY446 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY446 @ SV338 )
| ( doDivides0 @ SY446 @ SY445 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY448 )
| ~ ( aNaturalNumber0 @ SY449 )
| ~ ( isPrime0 @ SY449 )
| ~ ( doDivides0 @ SY449 @ ( sdtasdt0 @ SV338 @ SY448 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY448 ) @ SY449 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY449 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( ( SY448
!= ( sdtasdt0 @ SY449 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) ) )
| ~ ! [SY450: $i,SY451: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY450 )
| ~ ( aNaturalNumber0 @ SY451 )
| ~ ( isPrime0 @ SY451 )
| ~ ( doDivides0 @ SY451 @ ( sdtasdt0 @ SV338 @ SY450 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY450 ) @ SY451 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY451 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ( doDivides0 @ SY451 @ SY450 ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY452 )
| ~ ( aNaturalNumber0 @ SY453 )
| ~ ( isPrime0 @ SY453 )
| ~ ( doDivides0 @ SY453 @ ( sdtasdt0 @ SV338 @ SY452 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY452 ) @ SY453 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY453 @ SV338 )
| ~ ( ( SY452
!= ( sdtasdt0 @ SY453 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) ) )
| ~ ! [SY454: $i,SY455: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY454 )
| ~ ( aNaturalNumber0 @ SY455 )
| ~ ( isPrime0 @ SY455 )
| ~ ( doDivides0 @ SY455 @ ( sdtasdt0 @ SV338 @ SY454 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY454 ) @ SY455 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY455 @ SV338 )
| ( doDivides0 @ SY455 @ SY454 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4143]) ).
thf(4206,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4144]) ).
thf(4207,plain,
( ( isPrime0 @ xr )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4145]) ).
thf(4208,plain,
( ( ( xk != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4146]) ).
thf(4209,plain,
( ( ( xk != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4147]) ).
thf(4210,plain,
! [SV361: $i,SV339: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV339 )
| ~ ( aNaturalNumber0 @ SV361 ) )
= $true )
| ( ( ( SV339 = SV361 )
| ~ ( sdtlseqdt0 @ SV339 @ SV361 )
| ~ ( ~ ~ ( ~ ! [SY488: $i] :
( ~ ( aNaturalNumber0 @ SY488 )
| ( ( sdtpldt0 @ SV339 @ SY488 )
!= ( sdtpldt0 @ SV361 @ SY488 ) ) )
| ~ ~ ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) )
| ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) ) )
| ~ ! [SY491: $i] :
( ~ ( aNaturalNumber0 @ SY491 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV339 @ SY491 ) @ ( sdtpldt0 @ SV361 @ SY491 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4148]) ).
thf(4211,plain,
! [SV340: $i] :
( ( ~ ~ ( ~ ! [SY461: $i,SY462: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY461 )
| ~ ( aNaturalNumber0 @ SY462 )
| ( SV340 = sz00 )
| ( SY461 = SY462 )
| ~ ( sdtlseqdt0 @ SY461 @ SY462 )
| ( ( sdtasdt0 @ SY461 @ SV340 )
!= ( sdtasdt0 @ SY462 @ SV340 ) ) )
| ~ ~ ( ~ ! [SY463: $i,SY464: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY463 )
| ~ ( aNaturalNumber0 @ SY464 )
| ( SV340 = sz00 )
| ( SY463 = SY464 )
| ~ ( sdtlseqdt0 @ SY463 @ SY464 )
| ( ( sdtasdt0 @ SV340 @ SY463 )
!= ( sdtasdt0 @ SV340 @ SY464 ) ) )
| ~ ! [SY465: $i,SY466: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY465 )
| ~ ( aNaturalNumber0 @ SY466 )
| ( SV340 = sz00 )
| ( SY465 = SY466 )
| ~ ( sdtlseqdt0 @ SY465 @ SY466 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SY465 ) @ ( sdtasdt0 @ SV340 @ SY466 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4149]) ).
thf(4212,plain,
! [SV340: $i] :
( ( ~ ! [SY467: $i,SY468: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY467 )
| ~ ( aNaturalNumber0 @ SY468 )
| ( SV340 = sz00 )
| ( SY467 = SY468 )
| ~ ( sdtlseqdt0 @ SY467 @ SY468 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY467 @ SV340 ) @ ( sdtasdt0 @ SY468 @ SV340 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4149]) ).
thf(4213,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4150]) ).
thf(4214,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4151]) ).
thf(4215,plain,
! [SV341: $i] :
( ( ~ ! [SY469: $i,SY470: $i] :
( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SY469 )
| ~ ( aNaturalNumber0 @ SY470 )
| ( ( sdtasdt0 @ SV341 @ ( sdtpldt0 @ SY469 @ SY470 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV341 @ SY469 ) @ ( sdtasdt0 @ SV341 @ SY470 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4152]) ).
thf(4216,plain,
! [SV341: $i] :
( ( ~ ! [SY471: $i,SY472: $i] :
( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SY471 )
| ~ ( aNaturalNumber0 @ SY472 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY471 @ SY472 ) @ SV341 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY471 @ SV341 ) @ ( sdtasdt0 @ SY472 @ SV341 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4152]) ).
thf(4217,plain,
! [SV342: $i] :
( ( ( aNaturalNumber0 @ SV342 )
= $false )
| ( ( ( SV342 = sz00 )
| ~ ( ~ ! [SY473: $i,SY474: $i] :
( ~ ( aNaturalNumber0 @ SY473 )
| ~ ( aNaturalNumber0 @ SY474 )
| ( ( sdtasdt0 @ SV342 @ SY473 )
!= ( sdtasdt0 @ SV342 @ SY474 ) )
| ( SY473 = SY474 ) )
| ~ ! [SY475: $i,SY476: $i] :
( ~ ( aNaturalNumber0 @ SY475 )
| ~ ( aNaturalNumber0 @ SY476 )
| ( ( sdtasdt0 @ SY475 @ SV342 )
!= ( sdtasdt0 @ SY476 @ SV342 ) )
| ( SY475 = SY476 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4153]) ).
thf(4218,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4154]) ).
thf(4219,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4155]) ).
thf(4220,plain,
( ( ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4156]) ).
thf(4221,plain,
( ( aNaturalNumber0 @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4157]) ).
thf(4222,plain,
( ( ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4158]) ).
thf(4223,plain,
( ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4159]) ).
thf(4224,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4160]) ).
thf(4225,plain,
( ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4161]) ).
thf(4226,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4162]) ).
thf(4227,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4163]) ).
thf(4228,plain,
( ( ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4164]) ).
thf(4229,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4165]) ).
thf(4230,plain,
( ( ( sz10 != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4166]) ).
thf(4231,plain,
( ( aNaturalNumber0 @ sz10 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4167]) ).
thf(4232,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4168]) ).
thf(4233,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4169]) ).
thf(4234,plain,
! [SV343: $i] :
( ( ( SV343 = sz10 )
= $true )
| ( ( ( SV343 = sz00 )
| ~ ( aNaturalNumber0 @ SV343 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV343 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV343 ) @ SV343 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV343 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4170]) ).
thf(4235,plain,
! [SV344: $i] :
( ( ~ ! [SY477: $i,SY478: $i] :
( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SY477 )
| ~ ( aNaturalNumber0 @ SY478 )
| ( ( sdtpldt0 @ SV344 @ SY477 )
!= ( sdtpldt0 @ SV344 @ SY478 ) )
| ( SY477 = SY478 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4171]) ).
thf(4236,plain,
! [SV344: $i] :
( ( ~ ! [SY479: $i,SY480: $i] :
( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SY479 )
| ~ ( aNaturalNumber0 @ SY480 )
| ( ( sdtpldt0 @ SY479 @ SV344 )
!= ( sdtpldt0 @ SY480 @ SV344 ) )
| ( SY479 = SY480 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4171]) ).
thf(4237,plain,
( ( ( xk != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4172]) ).
thf(4238,plain,
( ( ( xk != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4173]) ).
thf(4239,plain,
( ( ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4174]) ).
thf(4240,plain,
( ( sdtlseqdt0 @ xm @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4175]) ).
thf(4241,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4176]) ).
thf(4242,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4177]) ).
thf(4243,plain,
( ( ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4178]) ).
thf(4244,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xn ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4179]) ).
thf(4245,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4180]) ).
thf(4246,plain,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4181]) ).
thf(4247,plain,
( ( ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4182]) ).
thf(4248,plain,
( ( sdtlseqdt0 @ xp @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4183]) ).
thf(4249,plain,
! [SV345: $i,SV321: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV321 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV345 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV321 @ SV345 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4184]) ).
thf(4250,plain,
! [SV346: $i,SV322: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV322 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV346 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV322 @ SV346 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4185]) ).
thf(4251,plain,
! [SV347: $i,SV323: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV323 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV347 ) )
= $true )
| ( ( ( sdtpldt0 @ SV323 @ SV347 )
= ( sdtpldt0 @ SV347 @ SV323 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4186]) ).
thf(4252,plain,
! [SV362: $i,SV348: $i,SV324: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV324 )
| ~ ( aNaturalNumber0 @ SV348 )
| ~ ( aNaturalNumber0 @ SV362 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV324 @ SV348 ) @ SV362 )
= ( sdtpldt0 @ SV324 @ ( sdtpldt0 @ SV348 @ SV362 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4187]) ).
thf(4253,plain,
! [SV349: $i,SV325: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV325 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV349 ) )
= $true )
| ( ( ( sdtasdt0 @ SV325 @ SV349 )
= ( sdtasdt0 @ SV349 @ SV325 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4188]) ).
thf(4254,plain,
! [SV363: $i,SV350: $i,SV326: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV326 )
| ~ ( aNaturalNumber0 @ SV350 )
| ~ ( aNaturalNumber0 @ SV363 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV326 @ SV350 ) @ SV363 )
= ( sdtasdt0 @ SV326 @ ( sdtasdt0 @ SV350 @ SV363 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4189]) ).
thf(4255,plain,
! [SV351: $i,SV327: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV327 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV351 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV327 @ SV351 )
!= sz00 )
| ( SV327 = sz00 )
| ( SV351 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4190]) ).
thf(4256,plain,
! [SV352: $i,SV329: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV329 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV352 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV329 @ SV352 )
| ~ ( sdtlseqdt0 @ SV352 @ SV329 )
| ( SV329 = SV352 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4192]) ).
thf(4257,plain,
! [SV364: $i,SV353: $i,SV330: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV330 )
| ~ ( aNaturalNumber0 @ SV353 )
| ~ ( aNaturalNumber0 @ SV364 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV330 @ SV353 )
| ~ ( sdtlseqdt0 @ SV353 @ SV364 )
| ( sdtlseqdt0 @ SV330 @ SV364 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4193]) ).
thf(4258,plain,
! [SV354: $i,SV331: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV331 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV354 ) )
= $true )
| ( ( ( SV331 = sz00 )
| ( sdtlseqdt0 @ SV354 @ ( sdtasdt0 @ SV354 @ SV331 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4194]) ).
thf(4259,plain,
! [SV365: $i] :
( ( ( aNaturalNumber0 @ SV365 )
= $false )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4195]) ).
thf(4260,plain,
! [SV355: $i,SV332: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV332 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV355 ) )
= $true )
| ( ( ( SV332 = SV355 )
| ~ ( sdtlseqdt0 @ SV332 @ SV355 )
| ( iLess0 @ SV332 @ SV355 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4196]) ).
thf(4261,plain,
! [SV366: $i,SV356: $i,SV333: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV333 )
| ~ ( aNaturalNumber0 @ SV356 )
| ~ ( aNaturalNumber0 @ SV366 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV333 @ SV356 )
| ~ ( doDivides0 @ SV356 @ SV366 )
| ( doDivides0 @ SV333 @ SV366 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4197]) ).
thf(4262,plain,
! [SV367: $i,SV357: $i,SV334: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV334 )
| ~ ( aNaturalNumber0 @ SV357 )
| ~ ( aNaturalNumber0 @ SV367 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV334 @ SV357 )
| ~ ( doDivides0 @ SV334 @ SV367 )
| ( doDivides0 @ SV334 @ ( sdtpldt0 @ SV357 @ SV367 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4198]) ).
thf(4263,plain,
! [SV368: $i,SV358: $i,SV335: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV335 )
| ~ ( aNaturalNumber0 @ SV358 )
| ~ ( aNaturalNumber0 @ SV368 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV335 @ SV358 )
| ~ ( doDivides0 @ SV335 @ ( sdtpldt0 @ SV358 @ SV368 ) )
| ( doDivides0 @ SV335 @ SV368 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4199]) ).
thf(4264,plain,
! [SV359: $i,SV336: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV336 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV359 ) )
= $true )
| ( ( ( SV359 = sz00 )
| ~ ( doDivides0 @ SV336 @ SV359 )
| ( sdtlseqdt0 @ SV336 @ SV359 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4200]) ).
thf(4265,plain,
! [SV360: $i,SV337: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV337 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV360 ) )
= $true )
| ( ( ( SV337 = sz00 )
| ~ ( doDivides0 @ SV337 @ SV360 )
| ! [SY487: $i] :
( ~ ( aNaturalNumber0 @ SY487 )
| ( ( sdtasdt0 @ SY487 @ ( sdtsldt0 @ SV360 @ SV337 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY487 @ SV360 ) @ SV337 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4201]) ).
thf(4266,plain,
! [SV369: $i] :
( ( ! [SY492: $i] :
( ~ ( aNaturalNumber0 @ SV369 )
| ~ ( aNaturalNumber0 @ SY492 )
| ( ( sdtpldt0 @ SV369 @ SY492 )
!= sz00 )
| ( SV369 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4202]) ).
thf(4267,plain,
! [SV370: $i] :
( ( ! [SY493: $i] :
( ~ ( aNaturalNumber0 @ SV370 )
| ~ ( aNaturalNumber0 @ SY493 )
| ( ( sdtpldt0 @ SV370 @ SY493 )
!= sz00 )
| ( SY493 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4203]) ).
thf(4268,plain,
! [SV338: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY416: $i,SY417: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY416 )
| ~ ( aNaturalNumber0 @ SY417 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY417
!= ( sdtasdt0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ SY417 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= SY417 ) ) ) )
| ( SY417 = sz00 )
| ( SY417 = sz10 )
| ! [SY418: $i] :
( ( ( sdtasdt0 @ SV338 @ SY416 )
!= ( sdtasdt0 @ SY417 @ SY418 ) )
| ~ ( aNaturalNumber0 @ SY418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY416 ) @ SY417 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY417 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( ( SY416
!= ( sdtasdt0 @ SY417 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY419 )
| ~ ( aNaturalNumber0 @ SY420 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY420
!= ( sdtasdt0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ SY420 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= SY420 ) ) ) )
| ( SY420 = sz00 )
| ( SY420 = sz10 )
| ! [SY421: $i] :
( ( ( sdtasdt0 @ SV338 @ SY419 )
!= ( sdtasdt0 @ SY420 @ SY421 ) )
| ~ ( aNaturalNumber0 @ SY421 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY419 ) @ SY420 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY420 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ( doDivides0 @ SY420 @ SY419 ) ) )
| ~ ~ ( ~ ! [SY422: $i,SY423: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY422 )
| ~ ( aNaturalNumber0 @ SY423 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY423
!= ( sdtasdt0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ SY423 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= SY423 ) ) ) )
| ( SY423 = sz00 )
| ( SY423 = sz10 )
| ! [SY424: $i] :
( ( ( sdtasdt0 @ SV338 @ SY422 )
!= ( sdtasdt0 @ SY423 @ SY424 ) )
| ~ ( aNaturalNumber0 @ SY424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY422 ) @ SY423 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY423 @ SV338 )
| ~ ( ( SY422
!= ( sdtasdt0 @ SY423 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) ) )
| ~ ! [SY425: $i,SY426: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY425 )
| ~ ( aNaturalNumber0 @ SY426 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY426
!= ( sdtasdt0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ SY426 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= SY426 ) ) ) )
| ( SY426 = sz00 )
| ( SY426 = sz10 )
| ! [SY427: $i] :
( ( ( sdtasdt0 @ SV338 @ SY425 )
!= ( sdtasdt0 @ SY426 @ SY427 ) )
| ~ ( aNaturalNumber0 @ SY427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY425 ) @ SY426 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY426 @ SV338 )
| ( doDivides0 @ SY426 @ SY425 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY428: $i,SY429: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY428 )
| ~ ( aNaturalNumber0 @ SY429 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY429
!= ( sdtasdt0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ SY429 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= SY429 ) ) ) )
| ( SY429 = sz00 )
| ( SY429 = sz10 )
| ~ ( doDivides0 @ SY429 @ ( sdtasdt0 @ SV338 @ SY428 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY428 ) @ SY429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY429 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( ( SY428
!= ( sdtasdt0 @ SY429 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) ) )
| ~ ! [SY430: $i,SY431: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY430 )
| ~ ( aNaturalNumber0 @ SY431 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY431
!= ( sdtasdt0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ SY431 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= SY431 ) ) ) )
| ( SY431 = sz00 )
| ( SY431 = sz10 )
| ~ ( doDivides0 @ SY431 @ ( sdtasdt0 @ SV338 @ SY430 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY430 ) @ SY431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY431 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ( doDivides0 @ SY431 @ SY430 ) ) )
| ~ ~ ( ~ ! [SY432: $i,SY433: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY432 )
| ~ ( aNaturalNumber0 @ SY433 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY433
!= ( sdtasdt0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ SY433 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= SY433 ) ) ) )
| ( SY433 = sz00 )
| ( SY433 = sz10 )
| ~ ( doDivides0 @ SY433 @ ( sdtasdt0 @ SV338 @ SY432 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY432 ) @ SY433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY433 @ SV338 )
| ~ ( ( SY432
!= ( sdtasdt0 @ SY433 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY434 )
| ~ ( aNaturalNumber0 @ SY435 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY435
!= ( sdtasdt0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ SY435 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= SY435 ) ) ) )
| ( SY435 = sz00 )
| ( SY435 = sz10 )
| ~ ( doDivides0 @ SY435 @ ( sdtasdt0 @ SV338 @ SY434 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY434 ) @ SY435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY435 @ SV338 )
| ( doDivides0 @ SY435 @ SY434 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4204]) ).
thf(4269,plain,
! [SV338: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY436: $i,SY437: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY436 )
| ~ ( aNaturalNumber0 @ SY437 )
| ~ ( isPrime0 @ SY437 )
| ! [SY438: $i] :
( ( ( sdtasdt0 @ SV338 @ SY436 )
!= ( sdtasdt0 @ SY437 @ SY438 ) )
| ~ ( aNaturalNumber0 @ SY438 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY436 ) @ SY437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY437 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( ( SY436
!= ( sdtasdt0 @ SY437 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) ) )
| ~ ! [SY439: $i,SY440: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY439 )
| ~ ( aNaturalNumber0 @ SY440 )
| ~ ( isPrime0 @ SY440 )
| ! [SY441: $i] :
( ( ( sdtasdt0 @ SV338 @ SY439 )
!= ( sdtasdt0 @ SY440 @ SY441 ) )
| ~ ( aNaturalNumber0 @ SY441 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY439 ) @ SY440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY440 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ( doDivides0 @ SY440 @ SY439 ) ) )
| ~ ~ ( ~ ! [SY442: $i,SY443: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY442 )
| ~ ( aNaturalNumber0 @ SY443 )
| ~ ( isPrime0 @ SY443 )
| ! [SY444: $i] :
( ( ( sdtasdt0 @ SV338 @ SY442 )
!= ( sdtasdt0 @ SY443 @ SY444 ) )
| ~ ( aNaturalNumber0 @ SY444 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY442 ) @ SY443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY443 @ SV338 )
| ~ ( ( SY442
!= ( sdtasdt0 @ SY443 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) ) )
| ~ ! [SY445: $i,SY446: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY445 )
| ~ ( aNaturalNumber0 @ SY446 )
| ~ ( isPrime0 @ SY446 )
| ! [SY447: $i] :
( ( ( sdtasdt0 @ SV338 @ SY445 )
!= ( sdtasdt0 @ SY446 @ SY447 ) )
| ~ ( aNaturalNumber0 @ SY447 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY445 ) @ SY446 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY446 @ SV338 )
| ( doDivides0 @ SY446 @ SY445 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY448 )
| ~ ( aNaturalNumber0 @ SY449 )
| ~ ( isPrime0 @ SY449 )
| ~ ( doDivides0 @ SY449 @ ( sdtasdt0 @ SV338 @ SY448 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY448 ) @ SY449 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY449 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( ( SY448
!= ( sdtasdt0 @ SY449 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) ) )
| ~ ! [SY450: $i,SY451: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY450 )
| ~ ( aNaturalNumber0 @ SY451 )
| ~ ( isPrime0 @ SY451 )
| ~ ( doDivides0 @ SY451 @ ( sdtasdt0 @ SV338 @ SY450 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY450 ) @ SY451 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY451 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ( doDivides0 @ SY451 @ SY450 ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY452 )
| ~ ( aNaturalNumber0 @ SY453 )
| ~ ( isPrime0 @ SY453 )
| ~ ( doDivides0 @ SY453 @ ( sdtasdt0 @ SV338 @ SY452 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY452 ) @ SY453 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY453 @ SV338 )
| ~ ( ( SY452
!= ( sdtasdt0 @ SY453 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) ) )
| ~ ! [SY454: $i,SY455: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY454 )
| ~ ( aNaturalNumber0 @ SY455 )
| ~ ( isPrime0 @ SY455 )
| ~ ( doDivides0 @ SY455 @ ( sdtasdt0 @ SV338 @ SY454 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY454 ) @ SY455 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY455 @ SV338 )
| ( doDivides0 @ SY455 @ SY454 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4205]) ).
thf(4270,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4206]) ).
thf(4271,plain,
( ( xk = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4208]) ).
thf(4272,plain,
( ( xk = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4209]) ).
thf(4273,plain,
! [SV361: $i,SV339: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV339 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV361 ) )
= $true )
| ( ( ( SV339 = SV361 )
| ~ ( sdtlseqdt0 @ SV339 @ SV361 )
| ~ ( ~ ~ ( ~ ! [SY488: $i] :
( ~ ( aNaturalNumber0 @ SY488 )
| ( ( sdtpldt0 @ SV339 @ SY488 )
!= ( sdtpldt0 @ SV361 @ SY488 ) ) )
| ~ ~ ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) )
| ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) ) )
| ~ ! [SY491: $i] :
( ~ ( aNaturalNumber0 @ SY491 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV339 @ SY491 ) @ ( sdtpldt0 @ SV361 @ SY491 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4210]) ).
thf(4274,plain,
! [SV340: $i] :
( ( ~ ( ~ ! [SY461: $i,SY462: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY461 )
| ~ ( aNaturalNumber0 @ SY462 )
| ( SV340 = sz00 )
| ( SY461 = SY462 )
| ~ ( sdtlseqdt0 @ SY461 @ SY462 )
| ( ( sdtasdt0 @ SY461 @ SV340 )
!= ( sdtasdt0 @ SY462 @ SV340 ) ) )
| ~ ~ ( ~ ! [SY463: $i,SY464: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY463 )
| ~ ( aNaturalNumber0 @ SY464 )
| ( SV340 = sz00 )
| ( SY463 = SY464 )
| ~ ( sdtlseqdt0 @ SY463 @ SY464 )
| ( ( sdtasdt0 @ SV340 @ SY463 )
!= ( sdtasdt0 @ SV340 @ SY464 ) ) )
| ~ ! [SY465: $i,SY466: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY465 )
| ~ ( aNaturalNumber0 @ SY466 )
| ( SV340 = sz00 )
| ( SY465 = SY466 )
| ~ ( sdtlseqdt0 @ SY465 @ SY466 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SY465 ) @ ( sdtasdt0 @ SV340 @ SY466 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4211]) ).
thf(4275,plain,
! [SV340: $i] :
( ( ! [SY467: $i,SY468: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY467 )
| ~ ( aNaturalNumber0 @ SY468 )
| ( SV340 = sz00 )
| ( SY467 = SY468 )
| ~ ( sdtlseqdt0 @ SY467 @ SY468 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY467 @ SV340 ) @ ( sdtasdt0 @ SY468 @ SV340 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4212]) ).
thf(4276,plain,
! [SV371: $i] :
( ( ~ ( aNaturalNumber0 @ SV371 )
| ( sz10 != SV371 )
| ( SV371 = sz00 )
| ( SV371 = sz10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4213]) ).
thf(4277,plain,
! [SV372: $i] :
( ( ~ ( aNaturalNumber0 @ SV372 )
| ( sdtlseqdt0 @ sz10 @ SV372 )
| ( SV372 = sz00 )
| ( SV372 = sz10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4214]) ).
thf(4278,plain,
! [SV341: $i] :
( ( ! [SY469: $i,SY470: $i] :
( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SY469 )
| ~ ( aNaturalNumber0 @ SY470 )
| ( ( sdtasdt0 @ SV341 @ ( sdtpldt0 @ SY469 @ SY470 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV341 @ SY469 ) @ ( sdtasdt0 @ SV341 @ SY470 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4215]) ).
thf(4279,plain,
! [SV341: $i] :
( ( ! [SY471: $i,SY472: $i] :
( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SY471 )
| ~ ( aNaturalNumber0 @ SY472 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY471 @ SY472 ) @ SV341 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY471 @ SV341 ) @ ( sdtasdt0 @ SY472 @ SV341 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4216]) ).
thf(4280,plain,
! [SV342: $i] :
( ( ( SV342 = sz00 )
= $true )
| ( ( ~ ( ~ ! [SY473: $i,SY474: $i] :
( ~ ( aNaturalNumber0 @ SY473 )
| ~ ( aNaturalNumber0 @ SY474 )
| ( ( sdtasdt0 @ SV342 @ SY473 )
!= ( sdtasdt0 @ SV342 @ SY474 ) )
| ( SY473 = SY474 ) )
| ~ ! [SY475: $i,SY476: $i] :
( ~ ( aNaturalNumber0 @ SY475 )
| ~ ( aNaturalNumber0 @ SY476 )
| ( ( sdtasdt0 @ SY475 @ SV342 )
!= ( sdtasdt0 @ SY476 @ SV342 ) )
| ( SY475 = SY476 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4217]) ).
thf(4281,plain,
! [SV373: $i] :
( ( ~ ( aNaturalNumber0 @ SV373 )
| ( ( sdtpldt0 @ SV373 @ sz00 )
= SV373 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4218]) ).
thf(4282,plain,
! [SV374: $i] :
( ( ~ ( aNaturalNumber0 @ SV374 )
| ( SV374
= ( sdtpldt0 @ sz00 @ SV374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4219]) ).
thf(4283,plain,
( ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4220]) ).
thf(4284,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4222]) ).
thf(4285,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4224]) ).
thf(4286,plain,
! [SV375: $i] :
( ( ~ ( aNaturalNumber0 @ SV375 )
| ( ( sdtasdt0 @ SV375 @ sz00 )
= sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4226]) ).
thf(4287,plain,
! [SV376: $i] :
( ( ~ ( aNaturalNumber0 @ SV376 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SV376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4227]) ).
thf(4288,plain,
! [SV377: $i] :
( ( ( ( sdtpldt0 @ xp @ SV377 )
!= xm )
| ~ ( aNaturalNumber0 @ SV377 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4228]) ).
thf(4289,plain,
( ( sdtlseqdt0 @ xp @ xm )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4229]) ).
thf(4290,plain,
( ( sz10 = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4230]) ).
thf(4291,plain,
! [SV378: $i] :
( ( ~ ( aNaturalNumber0 @ SV378 )
| ( ( sdtasdt0 @ SV378 @ sz10 )
= SV378 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4232]) ).
thf(4292,plain,
! [SV379: $i] :
( ( ~ ( aNaturalNumber0 @ SV379 )
| ( SV379
= ( sdtasdt0 @ sz10 @ SV379 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4233]) ).
thf(4293,plain,
! [SV343: $i] :
( ( ( SV343 = sz00 )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV343 ) )
= $true )
| ( ( SV343 = sz10 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV343 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV343 ) @ SV343 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV343 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4234]) ).
thf(4294,plain,
! [SV344: $i] :
( ( ! [SY477: $i,SY478: $i] :
( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SY477 )
| ~ ( aNaturalNumber0 @ SY478 )
| ( ( sdtpldt0 @ SV344 @ SY477 )
!= ( sdtpldt0 @ SV344 @ SY478 ) )
| ( SY477 = SY478 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4235]) ).
thf(4295,plain,
! [SV344: $i] :
( ( ! [SY479: $i,SY480: $i] :
( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SY479 )
| ~ ( aNaturalNumber0 @ SY480 )
| ( ( sdtpldt0 @ SY479 @ SV344 )
!= ( sdtpldt0 @ SY480 @ SV344 ) )
| ( SY479 = SY480 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4236]) ).
thf(4296,plain,
( ( xk = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4237]) ).
thf(4297,plain,
( ( xk = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4238]) ).
thf(4298,plain,
( ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4239]) ).
thf(4299,plain,
! [SV380: $i] :
( ( ! [SY494: $i] :
( ~ ( aNaturalNumber0 @ SV380 )
| ~ ( aNaturalNumber0 @ SY494 )
| ( SY494 != SV380 )
| ( sdtlseqdt0 @ SV380 @ SY494 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4241]) ).
thf(4300,plain,
! [SV381: $i] :
( ( ! [SY495: $i] :
( ~ ( aNaturalNumber0 @ SV381 )
| ~ ( aNaturalNumber0 @ SY495 )
| ( sdtlseqdt0 @ SY495 @ SV381 )
| ( sdtlseqdt0 @ SV381 @ SY495 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4242]) ).
thf(4301,plain,
! [SV382: $i] :
( ( ( ( sdtpldt0 @ xp @ SV382 )
!= xn )
| ~ ( aNaturalNumber0 @ SV382 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4243]) ).
thf(4302,plain,
( ( sdtlseqdt0 @ xp @ xn )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4244]) ).
thf(4303,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4245]) ).
thf(4304,plain,
( ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4247]) ).
thf(4305,plain,
! [SV345: $i,SV321: $i] :
( ( ( aNaturalNumber0 @ SV321 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV345 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV321 @ SV345 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4249]) ).
thf(4306,plain,
! [SV346: $i,SV322: $i] :
( ( ( aNaturalNumber0 @ SV322 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV346 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV322 @ SV346 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4250]) ).
thf(4307,plain,
! [SV347: $i,SV323: $i] :
( ( ( aNaturalNumber0 @ SV323 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV347 ) )
= $true )
| ( ( ( sdtpldt0 @ SV323 @ SV347 )
= ( sdtpldt0 @ SV347 @ SV323 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4251]) ).
thf(4308,plain,
! [SV362: $i,SV348: $i,SV324: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV324 )
| ~ ( aNaturalNumber0 @ SV348 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV362 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV324 @ SV348 ) @ SV362 )
= ( sdtpldt0 @ SV324 @ ( sdtpldt0 @ SV348 @ SV362 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4252]) ).
thf(4309,plain,
! [SV349: $i,SV325: $i] :
( ( ( aNaturalNumber0 @ SV325 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV349 ) )
= $true )
| ( ( ( sdtasdt0 @ SV325 @ SV349 )
= ( sdtasdt0 @ SV349 @ SV325 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4253]) ).
thf(4310,plain,
! [SV363: $i,SV350: $i,SV326: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV326 )
| ~ ( aNaturalNumber0 @ SV350 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV363 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV326 @ SV350 ) @ SV363 )
= ( sdtasdt0 @ SV326 @ ( sdtasdt0 @ SV350 @ SV363 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4254]) ).
thf(4311,plain,
! [SV351: $i,SV327: $i] :
( ( ( aNaturalNumber0 @ SV327 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV351 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV327 @ SV351 )
!= sz00 )
| ( SV327 = sz00 )
| ( SV351 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4255]) ).
thf(4312,plain,
! [SV352: $i,SV329: $i] :
( ( ( aNaturalNumber0 @ SV329 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV352 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV329 @ SV352 )
| ~ ( sdtlseqdt0 @ SV352 @ SV329 )
| ( SV329 = SV352 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4256]) ).
thf(4313,plain,
! [SV364: $i,SV353: $i,SV330: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV330 )
| ~ ( aNaturalNumber0 @ SV353 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV364 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV330 @ SV353 )
| ~ ( sdtlseqdt0 @ SV353 @ SV364 )
| ( sdtlseqdt0 @ SV330 @ SV364 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4257]) ).
thf(4314,plain,
! [SV354: $i,SV331: $i] :
( ( ( aNaturalNumber0 @ SV331 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV354 ) )
= $true )
| ( ( ( SV331 = sz00 )
| ( sdtlseqdt0 @ SV354 @ ( sdtasdt0 @ SV354 @ SV331 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4258]) ).
thf(4315,plain,
! [SV365: $i,SV383: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV383 ) )
= $true )
| ( ( aNaturalNumber0 @ SV365 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4259]) ).
thf(4316,plain,
! [SV355: $i,SV332: $i] :
( ( ( aNaturalNumber0 @ SV332 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV355 ) )
= $true )
| ( ( ( SV332 = SV355 )
| ~ ( sdtlseqdt0 @ SV332 @ SV355 )
| ( iLess0 @ SV332 @ SV355 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4260]) ).
thf(4317,plain,
! [SV366: $i,SV356: $i,SV333: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV333 )
| ~ ( aNaturalNumber0 @ SV356 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV366 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV333 @ SV356 )
| ~ ( doDivides0 @ SV356 @ SV366 )
| ( doDivides0 @ SV333 @ SV366 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4261]) ).
thf(4318,plain,
! [SV367: $i,SV357: $i,SV334: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV334 )
| ~ ( aNaturalNumber0 @ SV357 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV367 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV334 @ SV357 )
| ~ ( doDivides0 @ SV334 @ SV367 )
| ( doDivides0 @ SV334 @ ( sdtpldt0 @ SV357 @ SV367 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4262]) ).
thf(4319,plain,
! [SV368: $i,SV358: $i,SV335: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV335 )
| ~ ( aNaturalNumber0 @ SV358 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV368 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV335 @ SV358 )
| ~ ( doDivides0 @ SV335 @ ( sdtpldt0 @ SV358 @ SV368 ) )
| ( doDivides0 @ SV335 @ SV368 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4263]) ).
thf(4320,plain,
! [SV359: $i,SV336: $i] :
( ( ( aNaturalNumber0 @ SV336 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV359 ) )
= $true )
| ( ( ( SV359 = sz00 )
| ~ ( doDivides0 @ SV336 @ SV359 )
| ( sdtlseqdt0 @ SV336 @ SV359 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4264]) ).
thf(4321,plain,
! [SV360: $i,SV337: $i] :
( ( ( aNaturalNumber0 @ SV337 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV360 ) )
= $true )
| ( ( ( SV337 = sz00 )
| ~ ( doDivides0 @ SV337 @ SV360 )
| ! [SY487: $i] :
( ~ ( aNaturalNumber0 @ SY487 )
| ( ( sdtasdt0 @ SY487 @ ( sdtsldt0 @ SV360 @ SV337 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY487 @ SV360 ) @ SV337 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4265]) ).
thf(4322,plain,
! [SV384: $i,SV369: $i] :
( ( ~ ( aNaturalNumber0 @ SV369 )
| ~ ( aNaturalNumber0 @ SV384 )
| ( ( sdtpldt0 @ SV369 @ SV384 )
!= sz00 )
| ( SV369 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4266]) ).
thf(4323,plain,
! [SV385: $i,SV370: $i] :
( ( ~ ( aNaturalNumber0 @ SV370 )
| ~ ( aNaturalNumber0 @ SV385 )
| ( ( sdtpldt0 @ SV370 @ SV385 )
!= sz00 )
| ( SV385 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4267]) ).
thf(4324,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY416: $i,SY417: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY416 )
| ~ ( aNaturalNumber0 @ SY417 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY417
!= ( sdtasdt0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ SY417 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= SY417 ) ) ) )
| ( SY417 = sz00 )
| ( SY417 = sz10 )
| ! [SY418: $i] :
( ( ( sdtasdt0 @ SV338 @ SY416 )
!= ( sdtasdt0 @ SY417 @ SY418 ) )
| ~ ( aNaturalNumber0 @ SY418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY416 ) @ SY417 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY417 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( ( SY416
!= ( sdtasdt0 @ SY417 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY419 )
| ~ ( aNaturalNumber0 @ SY420 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY420
!= ( sdtasdt0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ SY420 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= SY420 ) ) ) )
| ( SY420 = sz00 )
| ( SY420 = sz10 )
| ! [SY421: $i] :
( ( ( sdtasdt0 @ SV338 @ SY419 )
!= ( sdtasdt0 @ SY420 @ SY421 ) )
| ~ ( aNaturalNumber0 @ SY421 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY419 ) @ SY420 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY420 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ( doDivides0 @ SY420 @ SY419 ) ) )
| ~ ~ ( ~ ! [SY422: $i,SY423: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY422 )
| ~ ( aNaturalNumber0 @ SY423 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY423
!= ( sdtasdt0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ SY423 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= SY423 ) ) ) )
| ( SY423 = sz00 )
| ( SY423 = sz10 )
| ! [SY424: $i] :
( ( ( sdtasdt0 @ SV338 @ SY422 )
!= ( sdtasdt0 @ SY423 @ SY424 ) )
| ~ ( aNaturalNumber0 @ SY424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY422 ) @ SY423 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY423 @ SV338 )
| ~ ( ( SY422
!= ( sdtasdt0 @ SY423 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) ) )
| ~ ! [SY425: $i,SY426: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY425 )
| ~ ( aNaturalNumber0 @ SY426 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY426
!= ( sdtasdt0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ SY426 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= SY426 ) ) ) )
| ( SY426 = sz00 )
| ( SY426 = sz10 )
| ! [SY427: $i] :
( ( ( sdtasdt0 @ SV338 @ SY425 )
!= ( sdtasdt0 @ SY426 @ SY427 ) )
| ~ ( aNaturalNumber0 @ SY427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY425 ) @ SY426 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY426 @ SV338 )
| ( doDivides0 @ SY426 @ SY425 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY428: $i,SY429: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY428 )
| ~ ( aNaturalNumber0 @ SY429 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY429
!= ( sdtasdt0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ SY429 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= SY429 ) ) ) )
| ( SY429 = sz00 )
| ( SY429 = sz10 )
| ~ ( doDivides0 @ SY429 @ ( sdtasdt0 @ SV338 @ SY428 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY428 ) @ SY429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY429 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( ( SY428
!= ( sdtasdt0 @ SY429 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) ) )
| ~ ! [SY430: $i,SY431: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY430 )
| ~ ( aNaturalNumber0 @ SY431 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY431
!= ( sdtasdt0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ SY431 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= SY431 ) ) ) )
| ( SY431 = sz00 )
| ( SY431 = sz10 )
| ~ ( doDivides0 @ SY431 @ ( sdtasdt0 @ SV338 @ SY430 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY430 ) @ SY431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY431 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ( doDivides0 @ SY431 @ SY430 ) ) )
| ~ ~ ( ~ ! [SY432: $i,SY433: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY432 )
| ~ ( aNaturalNumber0 @ SY433 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY433
!= ( sdtasdt0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ SY433 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= SY433 ) ) ) )
| ( SY433 = sz00 )
| ( SY433 = sz10 )
| ~ ( doDivides0 @ SY433 @ ( sdtasdt0 @ SV338 @ SY432 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY432 ) @ SY433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY433 @ SV338 )
| ~ ( ( SY432
!= ( sdtasdt0 @ SY433 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY434 )
| ~ ( aNaturalNumber0 @ SY435 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY435
!= ( sdtasdt0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ SY435 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= SY435 ) ) ) )
| ( SY435 = sz00 )
| ( SY435 = sz10 )
| ~ ( doDivides0 @ SY435 @ ( sdtasdt0 @ SV338 @ SY434 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY434 ) @ SY435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY435 @ SV338 )
| ( doDivides0 @ SY435 @ SY434 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4268]) ).
thf(4325,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY436: $i,SY437: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY436 )
| ~ ( aNaturalNumber0 @ SY437 )
| ~ ( isPrime0 @ SY437 )
| ! [SY438: $i] :
( ( ( sdtasdt0 @ SV338 @ SY436 )
!= ( sdtasdt0 @ SY437 @ SY438 ) )
| ~ ( aNaturalNumber0 @ SY438 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY436 ) @ SY437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY437 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( ( SY436
!= ( sdtasdt0 @ SY437 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) ) )
| ~ ! [SY439: $i,SY440: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY439 )
| ~ ( aNaturalNumber0 @ SY440 )
| ~ ( isPrime0 @ SY440 )
| ! [SY441: $i] :
( ( ( sdtasdt0 @ SV338 @ SY439 )
!= ( sdtasdt0 @ SY440 @ SY441 ) )
| ~ ( aNaturalNumber0 @ SY441 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY439 ) @ SY440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY440 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ( doDivides0 @ SY440 @ SY439 ) ) )
| ~ ~ ( ~ ! [SY442: $i,SY443: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY442 )
| ~ ( aNaturalNumber0 @ SY443 )
| ~ ( isPrime0 @ SY443 )
| ! [SY444: $i] :
( ( ( sdtasdt0 @ SV338 @ SY442 )
!= ( sdtasdt0 @ SY443 @ SY444 ) )
| ~ ( aNaturalNumber0 @ SY444 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY442 ) @ SY443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY443 @ SV338 )
| ~ ( ( SY442
!= ( sdtasdt0 @ SY443 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) ) )
| ~ ! [SY445: $i,SY446: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY445 )
| ~ ( aNaturalNumber0 @ SY446 )
| ~ ( isPrime0 @ SY446 )
| ! [SY447: $i] :
( ( ( sdtasdt0 @ SV338 @ SY445 )
!= ( sdtasdt0 @ SY446 @ SY447 ) )
| ~ ( aNaturalNumber0 @ SY447 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY445 ) @ SY446 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY446 @ SV338 )
| ( doDivides0 @ SY446 @ SY445 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY448 )
| ~ ( aNaturalNumber0 @ SY449 )
| ~ ( isPrime0 @ SY449 )
| ~ ( doDivides0 @ SY449 @ ( sdtasdt0 @ SV338 @ SY448 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY448 ) @ SY449 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY449 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( ( SY448
!= ( sdtasdt0 @ SY449 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) ) )
| ~ ! [SY450: $i,SY451: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY450 )
| ~ ( aNaturalNumber0 @ SY451 )
| ~ ( isPrime0 @ SY451 )
| ~ ( doDivides0 @ SY451 @ ( sdtasdt0 @ SV338 @ SY450 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY450 ) @ SY451 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY451 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ( doDivides0 @ SY451 @ SY450 ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY452 )
| ~ ( aNaturalNumber0 @ SY453 )
| ~ ( isPrime0 @ SY453 )
| ~ ( doDivides0 @ SY453 @ ( sdtasdt0 @ SV338 @ SY452 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY452 ) @ SY453 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY453 @ SV338 )
| ~ ( ( SY452
!= ( sdtasdt0 @ SY453 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) ) )
| ~ ! [SY454: $i,SY455: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY454 )
| ~ ( aNaturalNumber0 @ SY455 )
| ~ ( isPrime0 @ SY455 )
| ~ ( doDivides0 @ SY455 @ ( sdtasdt0 @ SV338 @ SY454 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY454 ) @ SY455 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY455 @ SV338 )
| ( doDivides0 @ SY455 @ SY454 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4269]) ).
thf(4326,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4270]) ).
thf(4327,plain,
( ( ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4270]) ).
thf(4328,plain,
! [SV361: $i,SV339: $i] :
( ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV361 ) )
= $true )
| ( ( ( SV339 = SV361 )
| ~ ( sdtlseqdt0 @ SV339 @ SV361 )
| ~ ( ~ ~ ( ~ ! [SY488: $i] :
( ~ ( aNaturalNumber0 @ SY488 )
| ( ( sdtpldt0 @ SV339 @ SY488 )
!= ( sdtpldt0 @ SV361 @ SY488 ) ) )
| ~ ~ ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) )
| ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) ) )
| ~ ! [SY491: $i] :
( ~ ( aNaturalNumber0 @ SY491 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV339 @ SY491 ) @ ( sdtpldt0 @ SV361 @ SY491 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4273]) ).
thf(4329,plain,
! [SV340: $i] :
( ( ~ ! [SY461: $i,SY462: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY461 )
| ~ ( aNaturalNumber0 @ SY462 )
| ( SV340 = sz00 )
| ( SY461 = SY462 )
| ~ ( sdtlseqdt0 @ SY461 @ SY462 )
| ( ( sdtasdt0 @ SY461 @ SV340 )
!= ( sdtasdt0 @ SY462 @ SV340 ) ) )
| ~ ~ ( ~ ! [SY463: $i,SY464: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY463 )
| ~ ( aNaturalNumber0 @ SY464 )
| ( SV340 = sz00 )
| ( SY463 = SY464 )
| ~ ( sdtlseqdt0 @ SY463 @ SY464 )
| ( ( sdtasdt0 @ SV340 @ SY463 )
!= ( sdtasdt0 @ SV340 @ SY464 ) ) )
| ~ ! [SY465: $i,SY466: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY465 )
| ~ ( aNaturalNumber0 @ SY466 )
| ( SV340 = sz00 )
| ( SY465 = SY466 )
| ~ ( sdtlseqdt0 @ SY465 @ SY466 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SY465 ) @ ( sdtasdt0 @ SV340 @ SY466 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4274]) ).
thf(4330,plain,
! [SV386: $i,SV340: $i] :
( ( ! [SY496: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV386 )
| ~ ( aNaturalNumber0 @ SY496 )
| ( SV340 = sz00 )
| ( SV386 = SY496 )
| ~ ( sdtlseqdt0 @ SV386 @ SY496 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV386 @ SV340 ) @ ( sdtasdt0 @ SY496 @ SV340 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4275]) ).
thf(4331,plain,
! [SV371: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV371 ) )
= $true )
| ( ( ( sz10 != SV371 )
| ( SV371 = sz00 )
| ( SV371 = sz10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4276]) ).
thf(4332,plain,
! [SV372: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV372 ) )
= $true )
| ( ( ( sdtlseqdt0 @ sz10 @ SV372 )
| ( SV372 = sz00 )
| ( SV372 = sz10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4277]) ).
thf(4333,plain,
! [SV387: $i,SV341: $i] :
( ( ! [SY497: $i] :
( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SV387 )
| ~ ( aNaturalNumber0 @ SY497 )
| ( ( sdtasdt0 @ SV341 @ ( sdtpldt0 @ SV387 @ SY497 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV341 @ SV387 ) @ ( sdtasdt0 @ SV341 @ SY497 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4278]) ).
thf(4334,plain,
! [SV388: $i,SV341: $i] :
( ( ! [SY498: $i] :
( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SV388 )
| ~ ( aNaturalNumber0 @ SY498 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV388 @ SY498 ) @ SV341 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV388 @ SV341 ) @ ( sdtasdt0 @ SY498 @ SV341 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4279]) ).
thf(4335,plain,
! [SV342: $i] :
( ( ( ~ ! [SY473: $i,SY474: $i] :
( ~ ( aNaturalNumber0 @ SY473 )
| ~ ( aNaturalNumber0 @ SY474 )
| ( ( sdtasdt0 @ SV342 @ SY473 )
!= ( sdtasdt0 @ SV342 @ SY474 ) )
| ( SY473 = SY474 ) )
| ~ ! [SY475: $i,SY476: $i] :
( ~ ( aNaturalNumber0 @ SY475 )
| ~ ( aNaturalNumber0 @ SY476 )
| ( ( sdtasdt0 @ SY475 @ SV342 )
!= ( sdtasdt0 @ SY476 @ SV342 ) )
| ( SY475 = SY476 ) ) )
= $false )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4280]) ).
thf(4336,plain,
! [SV373: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV373 ) )
= $true )
| ( ( ( sdtpldt0 @ SV373 @ sz00 )
= SV373 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4281]) ).
thf(4337,plain,
! [SV374: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV374 ) )
= $true )
| ( ( SV374
= ( sdtpldt0 @ sz00 @ SV374 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4282]) ).
thf(4338,plain,
( ( ~ ( aNaturalNumber0 @ xn ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4283]) ).
thf(4339,plain,
( ( ~ ( aNaturalNumber0 @ xm ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4283]) ).
thf(4340,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4284]) ).
thf(4341,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4284]) ).
thf(4342,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4285]) ).
thf(4343,plain,
( ( ~ ( aNaturalNumber0 @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4285]) ).
thf(4344,plain,
! [SV375: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV375 ) )
= $true )
| ( ( ( sdtasdt0 @ SV375 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4286]) ).
thf(4345,plain,
! [SV376: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV376 ) )
= $true )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV376 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4287]) ).
thf(4346,plain,
! [SV377: $i] :
( ( ( ( ( sdtpldt0 @ xp @ SV377 )
!= xm ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV377 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4288]) ).
thf(4347,plain,
! [SV378: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV378 ) )
= $true )
| ( ( ( sdtasdt0 @ SV378 @ sz10 )
= SV378 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4291]) ).
thf(4348,plain,
! [SV379: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV379 ) )
= $true )
| ( ( SV379
= ( sdtasdt0 @ sz10 @ SV379 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4292]) ).
thf(4349,plain,
! [SV343: $i] :
( ( ( aNaturalNumber0 @ SV343 )
= $false )
| ( ( SV343 = sz00 )
= $true )
| ( ( SV343 = sz10 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV343 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV343 ) @ SV343 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV343 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4293]) ).
thf(4350,plain,
! [SV389: $i,SV344: $i] :
( ( ! [SY499: $i] :
( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SV389 )
| ~ ( aNaturalNumber0 @ SY499 )
| ( ( sdtpldt0 @ SV344 @ SV389 )
!= ( sdtpldt0 @ SV344 @ SY499 ) )
| ( SV389 = SY499 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4294]) ).
thf(4351,plain,
! [SV390: $i,SV344: $i] :
( ( ! [SY500: $i] :
( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SV390 )
| ~ ( aNaturalNumber0 @ SY500 )
| ( ( sdtpldt0 @ SV390 @ SV344 )
!= ( sdtpldt0 @ SY500 @ SV344 ) )
| ( SV390 = SY500 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4295]) ).
thf(4352,plain,
( ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4298]) ).
thf(4353,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4298]) ).
thf(4354,plain,
! [SV391: $i,SV380: $i] :
( ( ~ ( aNaturalNumber0 @ SV380 )
| ~ ( aNaturalNumber0 @ SV391 )
| ( SV391 != SV380 )
| ( sdtlseqdt0 @ SV380 @ SV391 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4299]) ).
thf(4355,plain,
! [SV392: $i,SV381: $i] :
( ( ~ ( aNaturalNumber0 @ SV381 )
| ~ ( aNaturalNumber0 @ SV392 )
| ( sdtlseqdt0 @ SV392 @ SV381 )
| ( sdtlseqdt0 @ SV381 @ SV392 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4300]) ).
thf(4356,plain,
! [SV382: $i] :
( ( ( ( ( sdtpldt0 @ xp @ SV382 )
!= xn ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV382 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4301]) ).
thf(4357,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4303]) ).
thf(4358,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4303]) ).
thf(4359,plain,
( ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4304]) ).
thf(4360,plain,
( ( ~ ( aNaturalNumber0 @ sK2_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4304]) ).
thf(4361,plain,
! [SV321: $i,SV345: $i] :
( ( ( aNaturalNumber0 @ SV345 )
= $false )
| ( ( aNaturalNumber0 @ SV321 )
= $false )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV321 @ SV345 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4305]) ).
thf(4362,plain,
! [SV322: $i,SV346: $i] :
( ( ( aNaturalNumber0 @ SV346 )
= $false )
| ( ( aNaturalNumber0 @ SV322 )
= $false )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV322 @ SV346 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4306]) ).
thf(4363,plain,
! [SV323: $i,SV347: $i] :
( ( ( aNaturalNumber0 @ SV347 )
= $false )
| ( ( aNaturalNumber0 @ SV323 )
= $false )
| ( ( ( sdtpldt0 @ SV323 @ SV347 )
= ( sdtpldt0 @ SV347 @ SV323 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4307]) ).
thf(4364,plain,
! [SV362: $i,SV348: $i,SV324: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV324 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV348 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV362 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV324 @ SV348 ) @ SV362 )
= ( sdtpldt0 @ SV324 @ ( sdtpldt0 @ SV348 @ SV362 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4308]) ).
thf(4365,plain,
! [SV325: $i,SV349: $i] :
( ( ( aNaturalNumber0 @ SV349 )
= $false )
| ( ( aNaturalNumber0 @ SV325 )
= $false )
| ( ( ( sdtasdt0 @ SV325 @ SV349 )
= ( sdtasdt0 @ SV349 @ SV325 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4309]) ).
thf(4366,plain,
! [SV363: $i,SV350: $i,SV326: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV326 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV350 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV363 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV326 @ SV350 ) @ SV363 )
= ( sdtasdt0 @ SV326 @ ( sdtasdt0 @ SV350 @ SV363 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4310]) ).
thf(4367,plain,
! [SV327: $i,SV351: $i] :
( ( ( aNaturalNumber0 @ SV351 )
= $false )
| ( ( aNaturalNumber0 @ SV327 )
= $false )
| ( ( ( ( sdtasdt0 @ SV327 @ SV351 )
!= sz00 )
| ( SV327 = sz00 )
| ( SV351 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4311]) ).
thf(4368,plain,
! [SV329: $i,SV352: $i] :
( ( ( aNaturalNumber0 @ SV352 )
= $false )
| ( ( aNaturalNumber0 @ SV329 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV329 @ SV352 )
| ~ ( sdtlseqdt0 @ SV352 @ SV329 )
| ( SV329 = SV352 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4312]) ).
thf(4369,plain,
! [SV364: $i,SV353: $i,SV330: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV330 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV353 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV364 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV330 @ SV353 )
| ~ ( sdtlseqdt0 @ SV353 @ SV364 )
| ( sdtlseqdt0 @ SV330 @ SV364 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4313]) ).
thf(4370,plain,
! [SV331: $i,SV354: $i] :
( ( ( aNaturalNumber0 @ SV354 )
= $false )
| ( ( aNaturalNumber0 @ SV331 )
= $false )
| ( ( ( SV331 = sz00 )
| ( sdtlseqdt0 @ SV354 @ ( sdtasdt0 @ SV354 @ SV331 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4314]) ).
thf(4371,plain,
! [SV365: $i,SV383: $i] :
( ( ( aNaturalNumber0 @ SV383 )
= $false )
| ( ( aNaturalNumber0 @ SV365 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4315]) ).
thf(4372,plain,
! [SV332: $i,SV355: $i] :
( ( ( aNaturalNumber0 @ SV355 )
= $false )
| ( ( aNaturalNumber0 @ SV332 )
= $false )
| ( ( ( SV332 = SV355 )
| ~ ( sdtlseqdt0 @ SV332 @ SV355 )
| ( iLess0 @ SV332 @ SV355 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4316]) ).
thf(4373,plain,
! [SV366: $i,SV356: $i,SV333: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV333 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV356 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV366 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV333 @ SV356 )
| ~ ( doDivides0 @ SV356 @ SV366 )
| ( doDivides0 @ SV333 @ SV366 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4317]) ).
thf(4374,plain,
! [SV367: $i,SV357: $i,SV334: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV334 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV357 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV367 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV334 @ SV357 )
| ~ ( doDivides0 @ SV334 @ SV367 )
| ( doDivides0 @ SV334 @ ( sdtpldt0 @ SV357 @ SV367 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4318]) ).
thf(4375,plain,
! [SV368: $i,SV358: $i,SV335: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV335 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV358 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV368 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV335 @ SV358 )
| ~ ( doDivides0 @ SV335 @ ( sdtpldt0 @ SV358 @ SV368 ) )
| ( doDivides0 @ SV335 @ SV368 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4319]) ).
thf(4376,plain,
! [SV336: $i,SV359: $i] :
( ( ( aNaturalNumber0 @ SV359 )
= $false )
| ( ( aNaturalNumber0 @ SV336 )
= $false )
| ( ( ( SV359 = sz00 )
| ~ ( doDivides0 @ SV336 @ SV359 )
| ( sdtlseqdt0 @ SV336 @ SV359 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4320]) ).
thf(4377,plain,
! [SV337: $i,SV360: $i] :
( ( ( aNaturalNumber0 @ SV360 )
= $false )
| ( ( aNaturalNumber0 @ SV337 )
= $false )
| ( ( ( SV337 = sz00 )
| ~ ( doDivides0 @ SV337 @ SV360 )
| ! [SY487: $i] :
( ~ ( aNaturalNumber0 @ SY487 )
| ( ( sdtasdt0 @ SY487 @ ( sdtsldt0 @ SV360 @ SV337 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY487 @ SV360 ) @ SV337 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4321]) ).
thf(4378,plain,
! [SV384: $i,SV369: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV369 )
| ~ ( aNaturalNumber0 @ SV384 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV369 @ SV384 )
!= sz00 )
| ( SV369 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4322]) ).
thf(4379,plain,
! [SV385: $i,SV370: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV370 )
| ~ ( aNaturalNumber0 @ SV385 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV370 @ SV385 )
!= sz00 )
| ( SV385 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4323]) ).
thf(4380,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY416: $i,SY417: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY416 )
| ~ ( aNaturalNumber0 @ SY417 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY417
!= ( sdtasdt0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ SY417 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= SY417 ) ) ) )
| ( SY417 = sz00 )
| ( SY417 = sz10 )
| ! [SY418: $i] :
( ( ( sdtasdt0 @ SV338 @ SY416 )
!= ( sdtasdt0 @ SY417 @ SY418 ) )
| ~ ( aNaturalNumber0 @ SY418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY416 ) @ SY417 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY417 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( ( SY416
!= ( sdtasdt0 @ SY417 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY419 )
| ~ ( aNaturalNumber0 @ SY420 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY420
!= ( sdtasdt0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ SY420 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= SY420 ) ) ) )
| ( SY420 = sz00 )
| ( SY420 = sz10 )
| ! [SY421: $i] :
( ( ( sdtasdt0 @ SV338 @ SY419 )
!= ( sdtasdt0 @ SY420 @ SY421 ) )
| ~ ( aNaturalNumber0 @ SY421 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY419 ) @ SY420 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY420 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ( doDivides0 @ SY420 @ SY419 ) ) )
| ~ ~ ( ~ ! [SY422: $i,SY423: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY422 )
| ~ ( aNaturalNumber0 @ SY423 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY423
!= ( sdtasdt0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ SY423 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= SY423 ) ) ) )
| ( SY423 = sz00 )
| ( SY423 = sz10 )
| ! [SY424: $i] :
( ( ( sdtasdt0 @ SV338 @ SY422 )
!= ( sdtasdt0 @ SY423 @ SY424 ) )
| ~ ( aNaturalNumber0 @ SY424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY422 ) @ SY423 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY423 @ SV338 )
| ~ ( ( SY422
!= ( sdtasdt0 @ SY423 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) ) )
| ~ ! [SY425: $i,SY426: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY425 )
| ~ ( aNaturalNumber0 @ SY426 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY426
!= ( sdtasdt0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ SY426 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= SY426 ) ) ) )
| ( SY426 = sz00 )
| ( SY426 = sz10 )
| ! [SY427: $i] :
( ( ( sdtasdt0 @ SV338 @ SY425 )
!= ( sdtasdt0 @ SY426 @ SY427 ) )
| ~ ( aNaturalNumber0 @ SY427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY425 ) @ SY426 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY426 @ SV338 )
| ( doDivides0 @ SY426 @ SY425 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4324]) ).
thf(4381,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY428: $i,SY429: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY428 )
| ~ ( aNaturalNumber0 @ SY429 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY429
!= ( sdtasdt0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ SY429 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= SY429 ) ) ) )
| ( SY429 = sz00 )
| ( SY429 = sz10 )
| ~ ( doDivides0 @ SY429 @ ( sdtasdt0 @ SV338 @ SY428 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY428 ) @ SY429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY429 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( ( SY428
!= ( sdtasdt0 @ SY429 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) ) )
| ~ ! [SY430: $i,SY431: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY430 )
| ~ ( aNaturalNumber0 @ SY431 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY431
!= ( sdtasdt0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ SY431 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= SY431 ) ) ) )
| ( SY431 = sz00 )
| ( SY431 = sz10 )
| ~ ( doDivides0 @ SY431 @ ( sdtasdt0 @ SV338 @ SY430 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY430 ) @ SY431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY431 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ( doDivides0 @ SY431 @ SY430 ) ) )
| ~ ~ ( ~ ! [SY432: $i,SY433: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY432 )
| ~ ( aNaturalNumber0 @ SY433 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY433
!= ( sdtasdt0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ SY433 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= SY433 ) ) ) )
| ( SY433 = sz00 )
| ( SY433 = sz10 )
| ~ ( doDivides0 @ SY433 @ ( sdtasdt0 @ SV338 @ SY432 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY432 ) @ SY433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY433 @ SV338 )
| ~ ( ( SY432
!= ( sdtasdt0 @ SY433 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY434 )
| ~ ( aNaturalNumber0 @ SY435 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY435
!= ( sdtasdt0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ SY435 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= SY435 ) ) ) )
| ( SY435 = sz00 )
| ( SY435 = sz10 )
| ~ ( doDivides0 @ SY435 @ ( sdtasdt0 @ SV338 @ SY434 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY434 ) @ SY435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY435 @ SV338 )
| ( doDivides0 @ SY435 @ SY434 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4324]) ).
thf(4382,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY436: $i,SY437: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY436 )
| ~ ( aNaturalNumber0 @ SY437 )
| ~ ( isPrime0 @ SY437 )
| ! [SY438: $i] :
( ( ( sdtasdt0 @ SV338 @ SY436 )
!= ( sdtasdt0 @ SY437 @ SY438 ) )
| ~ ( aNaturalNumber0 @ SY438 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY436 ) @ SY437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY437 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( ( SY436
!= ( sdtasdt0 @ SY437 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) ) )
| ~ ! [SY439: $i,SY440: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY439 )
| ~ ( aNaturalNumber0 @ SY440 )
| ~ ( isPrime0 @ SY440 )
| ! [SY441: $i] :
( ( ( sdtasdt0 @ SV338 @ SY439 )
!= ( sdtasdt0 @ SY440 @ SY441 ) )
| ~ ( aNaturalNumber0 @ SY441 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY439 ) @ SY440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY440 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ( doDivides0 @ SY440 @ SY439 ) ) )
| ~ ~ ( ~ ! [SY442: $i,SY443: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY442 )
| ~ ( aNaturalNumber0 @ SY443 )
| ~ ( isPrime0 @ SY443 )
| ! [SY444: $i] :
( ( ( sdtasdt0 @ SV338 @ SY442 )
!= ( sdtasdt0 @ SY443 @ SY444 ) )
| ~ ( aNaturalNumber0 @ SY444 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY442 ) @ SY443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY443 @ SV338 )
| ~ ( ( SY442
!= ( sdtasdt0 @ SY443 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) ) )
| ~ ! [SY445: $i,SY446: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY445 )
| ~ ( aNaturalNumber0 @ SY446 )
| ~ ( isPrime0 @ SY446 )
| ! [SY447: $i] :
( ( ( sdtasdt0 @ SV338 @ SY445 )
!= ( sdtasdt0 @ SY446 @ SY447 ) )
| ~ ( aNaturalNumber0 @ SY447 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY445 ) @ SY446 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY446 @ SV338 )
| ( doDivides0 @ SY446 @ SY445 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4325]) ).
thf(4383,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY448 )
| ~ ( aNaturalNumber0 @ SY449 )
| ~ ( isPrime0 @ SY449 )
| ~ ( doDivides0 @ SY449 @ ( sdtasdt0 @ SV338 @ SY448 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY448 ) @ SY449 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY449 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( ( SY448
!= ( sdtasdt0 @ SY449 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) ) )
| ~ ! [SY450: $i,SY451: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY450 )
| ~ ( aNaturalNumber0 @ SY451 )
| ~ ( isPrime0 @ SY451 )
| ~ ( doDivides0 @ SY451 @ ( sdtasdt0 @ SV338 @ SY450 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY450 ) @ SY451 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY451 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ( doDivides0 @ SY451 @ SY450 ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY452 )
| ~ ( aNaturalNumber0 @ SY453 )
| ~ ( isPrime0 @ SY453 )
| ~ ( doDivides0 @ SY453 @ ( sdtasdt0 @ SV338 @ SY452 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY452 ) @ SY453 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY453 @ SV338 )
| ~ ( ( SY452
!= ( sdtasdt0 @ SY453 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) ) )
| ~ ! [SY454: $i,SY455: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY454 )
| ~ ( aNaturalNumber0 @ SY455 )
| ~ ( isPrime0 @ SY455 )
| ~ ( doDivides0 @ SY455 @ ( sdtasdt0 @ SV338 @ SY454 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY454 ) @ SY455 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY455 @ SV338 )
| ( doDivides0 @ SY455 @ SY454 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4325]) ).
thf(4384,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4326]) ).
thf(4385,plain,
( ( ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4327]) ).
thf(4386,plain,
! [SV339: $i,SV361: $i] :
( ( ( aNaturalNumber0 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( ( SV339 = SV361 )
| ~ ( sdtlseqdt0 @ SV339 @ SV361 )
| ~ ( ~ ~ ( ~ ! [SY488: $i] :
( ~ ( aNaturalNumber0 @ SY488 )
| ( ( sdtpldt0 @ SV339 @ SY488 )
!= ( sdtpldt0 @ SV361 @ SY488 ) ) )
| ~ ~ ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) )
| ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) ) )
| ~ ! [SY491: $i] :
( ~ ( aNaturalNumber0 @ SY491 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV339 @ SY491 ) @ ( sdtpldt0 @ SV361 @ SY491 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4328]) ).
thf(4387,plain,
! [SV340: $i] :
( ( ~ ! [SY461: $i,SY462: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY461 )
| ~ ( aNaturalNumber0 @ SY462 )
| ( SV340 = sz00 )
| ( SY461 = SY462 )
| ~ ( sdtlseqdt0 @ SY461 @ SY462 )
| ( ( sdtasdt0 @ SY461 @ SV340 )
!= ( sdtasdt0 @ SY462 @ SV340 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4329]) ).
thf(4388,plain,
! [SV340: $i] :
( ( ~ ~ ( ~ ! [SY463: $i,SY464: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY463 )
| ~ ( aNaturalNumber0 @ SY464 )
| ( SV340 = sz00 )
| ( SY463 = SY464 )
| ~ ( sdtlseqdt0 @ SY463 @ SY464 )
| ( ( sdtasdt0 @ SV340 @ SY463 )
!= ( sdtasdt0 @ SV340 @ SY464 ) ) )
| ~ ! [SY465: $i,SY466: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY465 )
| ~ ( aNaturalNumber0 @ SY466 )
| ( SV340 = sz00 )
| ( SY465 = SY466 )
| ~ ( sdtlseqdt0 @ SY465 @ SY466 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SY465 ) @ ( sdtasdt0 @ SV340 @ SY466 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4329]) ).
thf(4389,plain,
! [SV393: $i,SV386: $i,SV340: $i] :
( ( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV386 )
| ~ ( aNaturalNumber0 @ SV393 )
| ( SV340 = sz00 )
| ( SV386 = SV393 )
| ~ ( sdtlseqdt0 @ SV386 @ SV393 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV386 @ SV340 ) @ ( sdtasdt0 @ SV393 @ SV340 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4330]) ).
thf(4390,plain,
! [SV371: $i] :
( ( ( aNaturalNumber0 @ SV371 )
= $false )
| ( ( ( sz10 != SV371 )
| ( SV371 = sz00 )
| ( SV371 = sz10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4331]) ).
thf(4391,plain,
! [SV372: $i] :
( ( ( aNaturalNumber0 @ SV372 )
= $false )
| ( ( ( sdtlseqdt0 @ sz10 @ SV372 )
| ( SV372 = sz00 )
| ( SV372 = sz10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4332]) ).
thf(4392,plain,
! [SV394: $i,SV387: $i,SV341: $i] :
( ( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SV387 )
| ~ ( aNaturalNumber0 @ SV394 )
| ( ( sdtasdt0 @ SV341 @ ( sdtpldt0 @ SV387 @ SV394 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV341 @ SV387 ) @ ( sdtasdt0 @ SV341 @ SV394 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4333]) ).
thf(4393,plain,
! [SV395: $i,SV388: $i,SV341: $i] :
( ( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SV388 )
| ~ ( aNaturalNumber0 @ SV395 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV388 @ SV395 ) @ SV341 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV388 @ SV341 ) @ ( sdtasdt0 @ SV395 @ SV341 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4334]) ).
thf(4394,plain,
! [SV342: $i] :
( ( ( ~ ! [SY473: $i,SY474: $i] :
( ~ ( aNaturalNumber0 @ SY473 )
| ~ ( aNaturalNumber0 @ SY474 )
| ( ( sdtasdt0 @ SV342 @ SY473 )
!= ( sdtasdt0 @ SV342 @ SY474 ) )
| ( SY473 = SY474 ) ) )
= $false )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4335]) ).
thf(4395,plain,
! [SV342: $i] :
( ( ( ~ ! [SY475: $i,SY476: $i] :
( ~ ( aNaturalNumber0 @ SY475 )
| ~ ( aNaturalNumber0 @ SY476 )
| ( ( sdtasdt0 @ SY475 @ SV342 )
!= ( sdtasdt0 @ SY476 @ SV342 ) )
| ( SY475 = SY476 ) ) )
= $false )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4335]) ).
thf(4396,plain,
! [SV373: $i] :
( ( ( aNaturalNumber0 @ SV373 )
= $false )
| ( ( ( sdtpldt0 @ SV373 @ sz00 )
= SV373 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4336]) ).
thf(4397,plain,
! [SV374: $i] :
( ( ( aNaturalNumber0 @ SV374 )
= $false )
| ( ( SV374
= ( sdtpldt0 @ sz00 @ SV374 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4337]) ).
thf(4398,plain,
( ( aNaturalNumber0 @ xn )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4338]) ).
thf(4399,plain,
( ( aNaturalNumber0 @ xm )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4339]) ).
thf(4400,plain,
( ( ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4340]) ).
thf(4401,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4341]) ).
thf(4402,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4342]) ).
thf(4403,plain,
( ( aNaturalNumber0 @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4343]) ).
thf(4404,plain,
! [SV375: $i] :
( ( ( aNaturalNumber0 @ SV375 )
= $false )
| ( ( ( sdtasdt0 @ SV375 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4344]) ).
thf(4405,plain,
! [SV376: $i] :
( ( ( aNaturalNumber0 @ SV376 )
= $false )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV376 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4345]) ).
thf(4406,plain,
! [SV377: $i] :
( ( ( ( sdtpldt0 @ xp @ SV377 )
= xm )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV377 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4346]) ).
thf(4407,plain,
! [SV378: $i] :
( ( ( aNaturalNumber0 @ SV378 )
= $false )
| ( ( ( sdtasdt0 @ SV378 @ sz10 )
= SV378 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4347]) ).
thf(4408,plain,
! [SV379: $i] :
( ( ( aNaturalNumber0 @ SV379 )
= $false )
| ( ( SV379
= ( sdtasdt0 @ sz10 @ SV379 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4348]) ).
thf(4409,plain,
! [SV343: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV343 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV343 ) @ SV343 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV343 ) ) )
= $false )
| ( ( SV343 = sz10 )
= $true )
| ( ( SV343 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV343 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4349]) ).
thf(4410,plain,
! [SV396: $i,SV389: $i,SV344: $i] :
( ( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SV389 )
| ~ ( aNaturalNumber0 @ SV396 )
| ( ( sdtpldt0 @ SV344 @ SV389 )
!= ( sdtpldt0 @ SV344 @ SV396 ) )
| ( SV389 = SV396 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4350]) ).
thf(4411,plain,
! [SV397: $i,SV390: $i,SV344: $i] :
( ( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SV390 )
| ~ ( aNaturalNumber0 @ SV397 )
| ( ( sdtpldt0 @ SV390 @ SV344 )
!= ( sdtpldt0 @ SV397 @ SV344 ) )
| ( SV390 = SV397 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4351]) ).
thf(4412,plain,
( ( ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4352]) ).
thf(4413,plain,
( ( ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4353]) ).
thf(4414,plain,
! [SV391: $i,SV380: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV380 )
| ~ ( aNaturalNumber0 @ SV391 ) )
= $true )
| ( ( ( SV391 != SV380 )
| ( sdtlseqdt0 @ SV380 @ SV391 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4354]) ).
thf(4415,plain,
! [SV392: $i,SV381: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV381 )
| ~ ( aNaturalNumber0 @ SV392 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV392 @ SV381 )
| ( sdtlseqdt0 @ SV381 @ SV392 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4355]) ).
thf(4416,plain,
! [SV382: $i] :
( ( ( ( sdtpldt0 @ xp @ SV382 )
= xn )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV382 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4356]) ).
thf(4417,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4357]) ).
thf(4418,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4358]) ).
thf(4419,plain,
( ( ( sdtpldt0 @ xp @ sK2_W0 )
= xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4359]) ).
thf(4420,plain,
( ( aNaturalNumber0 @ sK2_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4360]) ).
thf(4421,plain,
! [SV362: $i,SV348: $i,SV324: $i] :
( ( ( aNaturalNumber0 @ SV324 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV348 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV362 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV324 @ SV348 ) @ SV362 )
= ( sdtpldt0 @ SV324 @ ( sdtpldt0 @ SV348 @ SV362 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4364]) ).
thf(4422,plain,
! [SV363: $i,SV350: $i,SV326: $i] :
( ( ( aNaturalNumber0 @ SV326 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV350 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV363 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV326 @ SV350 ) @ SV363 )
= ( sdtasdt0 @ SV326 @ ( sdtasdt0 @ SV350 @ SV363 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4366]) ).
thf(4423,plain,
! [SV351: $i,SV327: $i] :
( ( ( ( ( sdtasdt0 @ SV327 @ SV351 )
!= sz00 ) )
= $true )
| ( ( ( SV327 = sz00 )
| ( SV351 = sz00 ) )
= $true )
| ( ( aNaturalNumber0 @ SV327 )
= $false )
| ( ( aNaturalNumber0 @ SV351 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4367]) ).
thf(4424,plain,
! [SV352: $i,SV329: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV329 @ SV352 )
| ~ ( sdtlseqdt0 @ SV352 @ SV329 ) )
= $true )
| ( ( SV329 = SV352 )
= $true )
| ( ( aNaturalNumber0 @ SV329 )
= $false )
| ( ( aNaturalNumber0 @ SV352 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4368]) ).
thf(4425,plain,
! [SV364: $i,SV353: $i,SV330: $i] :
( ( ( aNaturalNumber0 @ SV330 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV353 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV364 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV330 @ SV353 )
| ~ ( sdtlseqdt0 @ SV353 @ SV364 )
| ( sdtlseqdt0 @ SV330 @ SV364 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4369]) ).
thf(4426,plain,
! [SV354: $i,SV331: $i] :
( ( ( SV331 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ SV354 @ ( sdtasdt0 @ SV354 @ SV331 ) )
= $true )
| ( ( aNaturalNumber0 @ SV331 )
= $false )
| ( ( aNaturalNumber0 @ SV354 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4370]) ).
thf(4427,plain,
! [SV355: $i,SV332: $i] :
( ( ( ( SV332 = SV355 )
| ~ ( sdtlseqdt0 @ SV332 @ SV355 ) )
= $true )
| ( ( iLess0 @ SV332 @ SV355 )
= $true )
| ( ( aNaturalNumber0 @ SV332 )
= $false )
| ( ( aNaturalNumber0 @ SV355 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4372]) ).
thf(4428,plain,
! [SV366: $i,SV356: $i,SV333: $i] :
( ( ( aNaturalNumber0 @ SV333 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV356 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV366 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV333 @ SV356 )
| ~ ( doDivides0 @ SV356 @ SV366 )
| ( doDivides0 @ SV333 @ SV366 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4373]) ).
thf(4429,plain,
! [SV367: $i,SV357: $i,SV334: $i] :
( ( ( aNaturalNumber0 @ SV334 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV357 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV367 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV334 @ SV357 )
| ~ ( doDivides0 @ SV334 @ SV367 )
| ( doDivides0 @ SV334 @ ( sdtpldt0 @ SV357 @ SV367 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4374]) ).
thf(4430,plain,
! [SV368: $i,SV358: $i,SV335: $i] :
( ( ( aNaturalNumber0 @ SV335 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV358 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV368 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV335 @ SV358 )
| ~ ( doDivides0 @ SV335 @ ( sdtpldt0 @ SV358 @ SV368 ) )
| ( doDivides0 @ SV335 @ SV368 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4375]) ).
thf(4431,plain,
! [SV336: $i,SV359: $i] :
( ( ( ( SV359 = sz00 )
| ~ ( doDivides0 @ SV336 @ SV359 ) )
= $true )
| ( ( sdtlseqdt0 @ SV336 @ SV359 )
= $true )
| ( ( aNaturalNumber0 @ SV336 )
= $false )
| ( ( aNaturalNumber0 @ SV359 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4376]) ).
thf(4432,plain,
! [SV360: $i,SV337: $i] :
( ( ( ( SV337 = sz00 )
| ~ ( doDivides0 @ SV337 @ SV360 ) )
= $true )
| ( ( ! [SY487: $i] :
( ~ ( aNaturalNumber0 @ SY487 )
| ( ( sdtasdt0 @ SY487 @ ( sdtsldt0 @ SV360 @ SV337 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY487 @ SV360 ) @ SV337 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV337 )
= $false )
| ( ( aNaturalNumber0 @ SV360 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4377]) ).
thf(4433,plain,
! [SV384: $i,SV369: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV369 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV384 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV369 @ SV384 )
!= sz00 )
| ( SV369 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4378]) ).
thf(4434,plain,
! [SV385: $i,SV370: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV370 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV385 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV370 @ SV385 )
!= sz00 )
| ( SV385 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4379]) ).
thf(4435,plain,
! [SV338: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY416: $i,SY417: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY416 )
| ~ ( aNaturalNumber0 @ SY417 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY417
!= ( sdtasdt0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ SY417 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= SY417 ) ) ) )
| ( SY417 = sz00 )
| ( SY417 = sz10 )
| ! [SY418: $i] :
( ( ( sdtasdt0 @ SV338 @ SY416 )
!= ( sdtasdt0 @ SY417 @ SY418 ) )
| ~ ( aNaturalNumber0 @ SY418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY416 ) @ SY417 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY417 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( ( SY416
!= ( sdtasdt0 @ SY417 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY419 )
| ~ ( aNaturalNumber0 @ SY420 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY420
!= ( sdtasdt0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ SY420 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= SY420 ) ) ) )
| ( SY420 = sz00 )
| ( SY420 = sz10 )
| ! [SY421: $i] :
( ( ( sdtasdt0 @ SV338 @ SY419 )
!= ( sdtasdt0 @ SY420 @ SY421 ) )
| ~ ( aNaturalNumber0 @ SY421 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY419 ) @ SY420 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY420 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ( doDivides0 @ SY420 @ SY419 ) ) )
| ~ ~ ( ~ ! [SY422: $i,SY423: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY422 )
| ~ ( aNaturalNumber0 @ SY423 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY423
!= ( sdtasdt0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ SY423 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= SY423 ) ) ) )
| ( SY423 = sz00 )
| ( SY423 = sz10 )
| ! [SY424: $i] :
( ( ( sdtasdt0 @ SV338 @ SY422 )
!= ( sdtasdt0 @ SY423 @ SY424 ) )
| ~ ( aNaturalNumber0 @ SY424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY422 ) @ SY423 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY423 @ SV338 )
| ~ ( ( SY422
!= ( sdtasdt0 @ SY423 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) ) )
| ~ ! [SY425: $i,SY426: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY425 )
| ~ ( aNaturalNumber0 @ SY426 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY426
!= ( sdtasdt0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ SY426 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= SY426 ) ) ) )
| ( SY426 = sz00 )
| ( SY426 = sz10 )
| ! [SY427: $i] :
( ( ( sdtasdt0 @ SV338 @ SY425 )
!= ( sdtasdt0 @ SY426 @ SY427 ) )
| ~ ( aNaturalNumber0 @ SY427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY425 ) @ SY426 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY426 @ SV338 )
| ( doDivides0 @ SY426 @ SY425 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4380]) ).
thf(4436,plain,
! [SV338: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY428: $i,SY429: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY428 )
| ~ ( aNaturalNumber0 @ SY429 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY429
!= ( sdtasdt0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ SY429 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= SY429 ) ) ) )
| ( SY429 = sz00 )
| ( SY429 = sz10 )
| ~ ( doDivides0 @ SY429 @ ( sdtasdt0 @ SV338 @ SY428 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY428 ) @ SY429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY429 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( ( SY428
!= ( sdtasdt0 @ SY429 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) ) )
| ~ ! [SY430: $i,SY431: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY430 )
| ~ ( aNaturalNumber0 @ SY431 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY431
!= ( sdtasdt0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ SY431 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= SY431 ) ) ) )
| ( SY431 = sz00 )
| ( SY431 = sz10 )
| ~ ( doDivides0 @ SY431 @ ( sdtasdt0 @ SV338 @ SY430 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY430 ) @ SY431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY431 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ( doDivides0 @ SY431 @ SY430 ) ) )
| ~ ~ ( ~ ! [SY432: $i,SY433: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY432 )
| ~ ( aNaturalNumber0 @ SY433 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY433
!= ( sdtasdt0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ SY433 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= SY433 ) ) ) )
| ( SY433 = sz00 )
| ( SY433 = sz10 )
| ~ ( doDivides0 @ SY433 @ ( sdtasdt0 @ SV338 @ SY432 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY432 ) @ SY433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY433 @ SV338 )
| ~ ( ( SY432
!= ( sdtasdt0 @ SY433 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY434 )
| ~ ( aNaturalNumber0 @ SY435 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY435
!= ( sdtasdt0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ SY435 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= SY435 ) ) ) )
| ( SY435 = sz00 )
| ( SY435 = sz10 )
| ~ ( doDivides0 @ SY435 @ ( sdtasdt0 @ SV338 @ SY434 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY434 ) @ SY435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY435 @ SV338 )
| ( doDivides0 @ SY435 @ SY434 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4381]) ).
thf(4437,plain,
! [SV338: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY436: $i,SY437: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY436 )
| ~ ( aNaturalNumber0 @ SY437 )
| ~ ( isPrime0 @ SY437 )
| ! [SY438: $i] :
( ( ( sdtasdt0 @ SV338 @ SY436 )
!= ( sdtasdt0 @ SY437 @ SY438 ) )
| ~ ( aNaturalNumber0 @ SY438 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY436 ) @ SY437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY437 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( ( SY436
!= ( sdtasdt0 @ SY437 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) ) )
| ~ ! [SY439: $i,SY440: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY439 )
| ~ ( aNaturalNumber0 @ SY440 )
| ~ ( isPrime0 @ SY440 )
| ! [SY441: $i] :
( ( ( sdtasdt0 @ SV338 @ SY439 )
!= ( sdtasdt0 @ SY440 @ SY441 ) )
| ~ ( aNaturalNumber0 @ SY441 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY439 ) @ SY440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY440 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ( doDivides0 @ SY440 @ SY439 ) ) )
| ~ ~ ( ~ ! [SY442: $i,SY443: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY442 )
| ~ ( aNaturalNumber0 @ SY443 )
| ~ ( isPrime0 @ SY443 )
| ! [SY444: $i] :
( ( ( sdtasdt0 @ SV338 @ SY442 )
!= ( sdtasdt0 @ SY443 @ SY444 ) )
| ~ ( aNaturalNumber0 @ SY444 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY442 ) @ SY443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY443 @ SV338 )
| ~ ( ( SY442
!= ( sdtasdt0 @ SY443 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) ) )
| ~ ! [SY445: $i,SY446: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY445 )
| ~ ( aNaturalNumber0 @ SY446 )
| ~ ( isPrime0 @ SY446 )
| ! [SY447: $i] :
( ( ( sdtasdt0 @ SV338 @ SY445 )
!= ( sdtasdt0 @ SY446 @ SY447 ) )
| ~ ( aNaturalNumber0 @ SY447 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY445 ) @ SY446 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY446 @ SV338 )
| ( doDivides0 @ SY446 @ SY445 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4382]) ).
thf(4438,plain,
! [SV338: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY448 )
| ~ ( aNaturalNumber0 @ SY449 )
| ~ ( isPrime0 @ SY449 )
| ~ ( doDivides0 @ SY449 @ ( sdtasdt0 @ SV338 @ SY448 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY448 ) @ SY449 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY449 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( ( SY448
!= ( sdtasdt0 @ SY449 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) ) )
| ~ ! [SY450: $i,SY451: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY450 )
| ~ ( aNaturalNumber0 @ SY451 )
| ~ ( isPrime0 @ SY451 )
| ~ ( doDivides0 @ SY451 @ ( sdtasdt0 @ SV338 @ SY450 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY450 ) @ SY451 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY451 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ( doDivides0 @ SY451 @ SY450 ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY452 )
| ~ ( aNaturalNumber0 @ SY453 )
| ~ ( isPrime0 @ SY453 )
| ~ ( doDivides0 @ SY453 @ ( sdtasdt0 @ SV338 @ SY452 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY452 ) @ SY453 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY453 @ SV338 )
| ~ ( ( SY452
!= ( sdtasdt0 @ SY453 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) ) )
| ~ ! [SY454: $i,SY455: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY454 )
| ~ ( aNaturalNumber0 @ SY455 )
| ~ ( isPrime0 @ SY455 )
| ~ ( doDivides0 @ SY455 @ ( sdtasdt0 @ SV338 @ SY454 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY454 ) @ SY455 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY455 @ SV338 )
| ( doDivides0 @ SY455 @ SY454 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4383]) ).
thf(4439,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4384]) ).
thf(4440,plain,
( ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4385]) ).
thf(4441,plain,
! [SV361: $i,SV339: $i] :
( ( ( ( SV339 = SV361 )
| ~ ( sdtlseqdt0 @ SV339 @ SV361 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY488: $i] :
( ~ ( aNaturalNumber0 @ SY488 )
| ( ( sdtpldt0 @ SV339 @ SY488 )
!= ( sdtpldt0 @ SV361 @ SY488 ) ) )
| ~ ~ ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) )
| ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) ) )
| ~ ! [SY491: $i] :
( ~ ( aNaturalNumber0 @ SY491 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV339 @ SY491 ) @ ( sdtpldt0 @ SV361 @ SY491 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4386]) ).
thf(4442,plain,
! [SV340: $i] :
( ( ! [SY461: $i,SY462: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY461 )
| ~ ( aNaturalNumber0 @ SY462 )
| ( SV340 = sz00 )
| ( SY461 = SY462 )
| ~ ( sdtlseqdt0 @ SY461 @ SY462 )
| ( ( sdtasdt0 @ SY461 @ SV340 )
!= ( sdtasdt0 @ SY462 @ SV340 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4387]) ).
thf(4443,plain,
! [SV340: $i] :
( ( ~ ( ~ ! [SY463: $i,SY464: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY463 )
| ~ ( aNaturalNumber0 @ SY464 )
| ( SV340 = sz00 )
| ( SY463 = SY464 )
| ~ ( sdtlseqdt0 @ SY463 @ SY464 )
| ( ( sdtasdt0 @ SV340 @ SY463 )
!= ( sdtasdt0 @ SV340 @ SY464 ) ) )
| ~ ! [SY465: $i,SY466: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY465 )
| ~ ( aNaturalNumber0 @ SY466 )
| ( SV340 = sz00 )
| ( SY465 = SY466 )
| ~ ( sdtlseqdt0 @ SY465 @ SY466 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SY465 ) @ ( sdtasdt0 @ SV340 @ SY466 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4388]) ).
thf(4444,plain,
! [SV393: $i,SV386: $i,SV340: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV386 )
| ~ ( aNaturalNumber0 @ SV393 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV386 = SV393 )
| ~ ( sdtlseqdt0 @ SV386 @ SV393 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV386 @ SV340 ) @ ( sdtasdt0 @ SV393 @ SV340 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4389]) ).
thf(4445,plain,
! [SV371: $i] :
( ( ( ( sz10 != SV371 ) )
= $true )
| ( ( ( SV371 = sz00 )
| ( SV371 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV371 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4390]) ).
thf(4446,plain,
! [SV372: $i] :
( ( ( sdtlseqdt0 @ sz10 @ SV372 )
= $true )
| ( ( ( SV372 = sz00 )
| ( SV372 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV372 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4391]) ).
thf(4447,plain,
! [SV394: $i,SV387: $i,SV341: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SV387 )
| ~ ( aNaturalNumber0 @ SV394 ) )
= $true )
| ( ( ( sdtasdt0 @ SV341 @ ( sdtpldt0 @ SV387 @ SV394 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV341 @ SV387 ) @ ( sdtasdt0 @ SV341 @ SV394 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4392]) ).
thf(4448,plain,
! [SV395: $i,SV388: $i,SV341: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SV388 )
| ~ ( aNaturalNumber0 @ SV395 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV388 @ SV395 ) @ SV341 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV388 @ SV341 ) @ ( sdtasdt0 @ SV395 @ SV341 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4393]) ).
thf(4449,plain,
! [SV342: $i] :
( ( ( ! [SY473: $i,SY474: $i] :
( ~ ( aNaturalNumber0 @ SY473 )
| ~ ( aNaturalNumber0 @ SY474 )
| ( ( sdtasdt0 @ SV342 @ SY473 )
!= ( sdtasdt0 @ SV342 @ SY474 ) )
| ( SY473 = SY474 ) ) )
= $true )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4394]) ).
thf(4450,plain,
! [SV342: $i] :
( ( ( ! [SY475: $i,SY476: $i] :
( ~ ( aNaturalNumber0 @ SY475 )
| ~ ( aNaturalNumber0 @ SY476 )
| ( ( sdtasdt0 @ SY475 @ SV342 )
!= ( sdtasdt0 @ SY476 @ SV342 ) )
| ( SY475 = SY476 ) ) )
= $true )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4395]) ).
thf(4451,plain,
( ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4400]) ).
thf(4452,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4401]) ).
thf(4453,plain,
! [SV377: $i] :
( ( ( aNaturalNumber0 @ SV377 )
= $false )
| ( ( ( sdtpldt0 @ xp @ SV377 )
= xm )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4406]) ).
thf(4454,plain,
! [SV343: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV343 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV343 ) @ SV343 ) ) )
= $false )
| ( ( SV343 = sz10 )
= $true )
| ( ( SV343 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV343 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4409]) ).
thf(4455,plain,
! [SV343: $i] :
( ( ( ~ ( isPrime0 @ ( sK1_W1 @ SV343 ) ) )
= $false )
| ( ( SV343 = sz10 )
= $true )
| ( ( SV343 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV343 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4409]) ).
thf(4456,plain,
! [SV396: $i,SV389: $i,SV344: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SV389 )
| ~ ( aNaturalNumber0 @ SV396 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV344 @ SV389 )
!= ( sdtpldt0 @ SV344 @ SV396 ) )
| ( SV389 = SV396 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4410]) ).
thf(4457,plain,
! [SV397: $i,SV390: $i,SV344: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SV390 )
| ~ ( aNaturalNumber0 @ SV397 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV390 @ SV344 )
!= ( sdtpldt0 @ SV397 @ SV344 ) )
| ( SV390 = SV397 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4411]) ).
thf(4458,plain,
( ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4412]) ).
thf(4459,plain,
( ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4413]) ).
thf(4460,plain,
! [SV391: $i,SV380: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV380 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV391 ) )
= $true )
| ( ( ( SV391 != SV380 )
| ( sdtlseqdt0 @ SV380 @ SV391 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4414]) ).
thf(4461,plain,
! [SV392: $i,SV381: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV381 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV392 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV392 @ SV381 )
| ( sdtlseqdt0 @ SV381 @ SV392 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4415]) ).
thf(4462,plain,
! [SV382: $i] :
( ( ( aNaturalNumber0 @ SV382 )
= $false )
| ( ( ( sdtpldt0 @ xp @ SV382 )
= xn )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4416]) ).
thf(4463,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4417]) ).
thf(4464,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4418]) ).
thf(4465,plain,
! [SV362: $i,SV324: $i,SV348: $i] :
( ( ( aNaturalNumber0 @ SV348 )
= $false )
| ( ( aNaturalNumber0 @ SV324 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV362 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV324 @ SV348 ) @ SV362 )
= ( sdtpldt0 @ SV324 @ ( sdtpldt0 @ SV348 @ SV362 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4421]) ).
thf(4466,plain,
! [SV363: $i,SV326: $i,SV350: $i] :
( ( ( aNaturalNumber0 @ SV350 )
= $false )
| ( ( aNaturalNumber0 @ SV326 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV363 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV326 @ SV350 ) @ SV363 )
= ( sdtasdt0 @ SV326 @ ( sdtasdt0 @ SV350 @ SV363 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4422]) ).
thf(4467,plain,
! [SV351: $i,SV327: $i] :
( ( ( ( sdtasdt0 @ SV327 @ SV351 )
= sz00 )
= $false )
| ( ( ( SV327 = sz00 )
| ( SV351 = sz00 ) )
= $true )
| ( ( aNaturalNumber0 @ SV327 )
= $false )
| ( ( aNaturalNumber0 @ SV351 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4423]) ).
thf(4468,plain,
! [SV352: $i,SV329: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV329 @ SV352 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV352 @ SV329 ) )
= $true )
| ( ( SV329 = SV352 )
= $true )
| ( ( aNaturalNumber0 @ SV329 )
= $false )
| ( ( aNaturalNumber0 @ SV352 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4424]) ).
thf(4469,plain,
! [SV364: $i,SV330: $i,SV353: $i] :
( ( ( aNaturalNumber0 @ SV353 )
= $false )
| ( ( aNaturalNumber0 @ SV330 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV364 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV330 @ SV353 )
| ~ ( sdtlseqdt0 @ SV353 @ SV364 )
| ( sdtlseqdt0 @ SV330 @ SV364 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4425]) ).
thf(4470,plain,
! [SV355: $i,SV332: $i] :
( ( ( SV332 = SV355 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV332 @ SV355 ) )
= $true )
| ( ( iLess0 @ SV332 @ SV355 )
= $true )
| ( ( aNaturalNumber0 @ SV332 )
= $false )
| ( ( aNaturalNumber0 @ SV355 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4427]) ).
thf(4471,plain,
! [SV366: $i,SV333: $i,SV356: $i] :
( ( ( aNaturalNumber0 @ SV356 )
= $false )
| ( ( aNaturalNumber0 @ SV333 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV366 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV333 @ SV356 )
| ~ ( doDivides0 @ SV356 @ SV366 )
| ( doDivides0 @ SV333 @ SV366 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4428]) ).
thf(4472,plain,
! [SV367: $i,SV334: $i,SV357: $i] :
( ( ( aNaturalNumber0 @ SV357 )
= $false )
| ( ( aNaturalNumber0 @ SV334 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV367 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV334 @ SV357 )
| ~ ( doDivides0 @ SV334 @ SV367 )
| ( doDivides0 @ SV334 @ ( sdtpldt0 @ SV357 @ SV367 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4429]) ).
thf(4473,plain,
! [SV368: $i,SV335: $i,SV358: $i] :
( ( ( aNaturalNumber0 @ SV358 )
= $false )
| ( ( aNaturalNumber0 @ SV335 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV368 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV335 @ SV358 )
| ~ ( doDivides0 @ SV335 @ ( sdtpldt0 @ SV358 @ SV368 ) )
| ( doDivides0 @ SV335 @ SV368 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4430]) ).
thf(4474,plain,
! [SV336: $i,SV359: $i] :
( ( ( SV359 = sz00 )
= $true )
| ( ( ~ ( doDivides0 @ SV336 @ SV359 ) )
= $true )
| ( ( sdtlseqdt0 @ SV336 @ SV359 )
= $true )
| ( ( aNaturalNumber0 @ SV336 )
= $false )
| ( ( aNaturalNumber0 @ SV359 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4431]) ).
thf(4475,plain,
! [SV360: $i,SV337: $i] :
( ( ( SV337 = sz00 )
= $true )
| ( ( ~ ( doDivides0 @ SV337 @ SV360 ) )
= $true )
| ( ( ! [SY487: $i] :
( ~ ( aNaturalNumber0 @ SY487 )
| ( ( sdtasdt0 @ SY487 @ ( sdtsldt0 @ SV360 @ SV337 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY487 @ SV360 ) @ SV337 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV337 )
= $false )
| ( ( aNaturalNumber0 @ SV360 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4432]) ).
thf(4476,plain,
! [SV384: $i,SV369: $i] :
( ( ( aNaturalNumber0 @ SV369 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV384 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV369 @ SV384 )
!= sz00 )
| ( SV369 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4433]) ).
thf(4477,plain,
! [SV385: $i,SV370: $i] :
( ( ( aNaturalNumber0 @ SV370 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV385 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV370 @ SV385 )
!= sz00 )
| ( SV385 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4434]) ).
thf(4478,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ! [SY416: $i,SY417: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY416 )
| ~ ( aNaturalNumber0 @ SY417 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY417
!= ( sdtasdt0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ SY417 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= SY417 ) ) ) )
| ( SY417 = sz00 )
| ( SY417 = sz10 )
| ! [SY418: $i] :
( ( ( sdtasdt0 @ SV338 @ SY416 )
!= ( sdtasdt0 @ SY417 @ SY418 ) )
| ~ ( aNaturalNumber0 @ SY418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY416 ) @ SY417 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY417 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( ( SY416
!= ( sdtasdt0 @ SY417 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY419 )
| ~ ( aNaturalNumber0 @ SY420 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY420
!= ( sdtasdt0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ SY420 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= SY420 ) ) ) )
| ( SY420 = sz00 )
| ( SY420 = sz10 )
| ! [SY421: $i] :
( ( ( sdtasdt0 @ SV338 @ SY419 )
!= ( sdtasdt0 @ SY420 @ SY421 ) )
| ~ ( aNaturalNumber0 @ SY421 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY419 ) @ SY420 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY420 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ( doDivides0 @ SY420 @ SY419 ) ) )
| ~ ~ ( ~ ! [SY422: $i,SY423: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY422 )
| ~ ( aNaturalNumber0 @ SY423 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY423
!= ( sdtasdt0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ SY423 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= SY423 ) ) ) )
| ( SY423 = sz00 )
| ( SY423 = sz10 )
| ! [SY424: $i] :
( ( ( sdtasdt0 @ SV338 @ SY422 )
!= ( sdtasdt0 @ SY423 @ SY424 ) )
| ~ ( aNaturalNumber0 @ SY424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY422 ) @ SY423 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY423 @ SV338 )
| ~ ( ( SY422
!= ( sdtasdt0 @ SY423 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) ) )
| ~ ! [SY425: $i,SY426: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY425 )
| ~ ( aNaturalNumber0 @ SY426 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY426
!= ( sdtasdt0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ SY426 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= SY426 ) ) ) )
| ( SY426 = sz00 )
| ( SY426 = sz10 )
| ! [SY427: $i] :
( ( ( sdtasdt0 @ SV338 @ SY425 )
!= ( sdtasdt0 @ SY426 @ SY427 ) )
| ~ ( aNaturalNumber0 @ SY427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY425 ) @ SY426 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY426 @ SV338 )
| ( doDivides0 @ SY426 @ SY425 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4435]) ).
thf(4479,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ! [SY428: $i,SY429: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY428 )
| ~ ( aNaturalNumber0 @ SY429 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY429
!= ( sdtasdt0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ SY429 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= SY429 ) ) ) )
| ( SY429 = sz00 )
| ( SY429 = sz10 )
| ~ ( doDivides0 @ SY429 @ ( sdtasdt0 @ SV338 @ SY428 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY428 ) @ SY429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY429 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( ( SY428
!= ( sdtasdt0 @ SY429 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) ) )
| ~ ! [SY430: $i,SY431: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY430 )
| ~ ( aNaturalNumber0 @ SY431 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY431
!= ( sdtasdt0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ SY431 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= SY431 ) ) ) )
| ( SY431 = sz00 )
| ( SY431 = sz10 )
| ~ ( doDivides0 @ SY431 @ ( sdtasdt0 @ SV338 @ SY430 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY430 ) @ SY431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY431 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ( doDivides0 @ SY431 @ SY430 ) ) )
| ~ ~ ( ~ ! [SY432: $i,SY433: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY432 )
| ~ ( aNaturalNumber0 @ SY433 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY433
!= ( sdtasdt0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ SY433 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= SY433 ) ) ) )
| ( SY433 = sz00 )
| ( SY433 = sz10 )
| ~ ( doDivides0 @ SY433 @ ( sdtasdt0 @ SV338 @ SY432 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY432 ) @ SY433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY433 @ SV338 )
| ~ ( ( SY432
!= ( sdtasdt0 @ SY433 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY434 )
| ~ ( aNaturalNumber0 @ SY435 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY435
!= ( sdtasdt0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ SY435 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= SY435 ) ) ) )
| ( SY435 = sz00 )
| ( SY435 = sz10 )
| ~ ( doDivides0 @ SY435 @ ( sdtasdt0 @ SV338 @ SY434 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY434 ) @ SY435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY435 @ SV338 )
| ( doDivides0 @ SY435 @ SY434 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4436]) ).
thf(4480,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ! [SY436: $i,SY437: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY436 )
| ~ ( aNaturalNumber0 @ SY437 )
| ~ ( isPrime0 @ SY437 )
| ! [SY438: $i] :
( ( ( sdtasdt0 @ SV338 @ SY436 )
!= ( sdtasdt0 @ SY437 @ SY438 ) )
| ~ ( aNaturalNumber0 @ SY438 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY436 ) @ SY437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY437 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( ( SY436
!= ( sdtasdt0 @ SY437 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) ) )
| ~ ! [SY439: $i,SY440: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY439 )
| ~ ( aNaturalNumber0 @ SY440 )
| ~ ( isPrime0 @ SY440 )
| ! [SY441: $i] :
( ( ( sdtasdt0 @ SV338 @ SY439 )
!= ( sdtasdt0 @ SY440 @ SY441 ) )
| ~ ( aNaturalNumber0 @ SY441 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY439 ) @ SY440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY440 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ( doDivides0 @ SY440 @ SY439 ) ) )
| ~ ~ ( ~ ! [SY442: $i,SY443: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY442 )
| ~ ( aNaturalNumber0 @ SY443 )
| ~ ( isPrime0 @ SY443 )
| ! [SY444: $i] :
( ( ( sdtasdt0 @ SV338 @ SY442 )
!= ( sdtasdt0 @ SY443 @ SY444 ) )
| ~ ( aNaturalNumber0 @ SY444 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY442 ) @ SY443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY443 @ SV338 )
| ~ ( ( SY442
!= ( sdtasdt0 @ SY443 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) ) )
| ~ ! [SY445: $i,SY446: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY445 )
| ~ ( aNaturalNumber0 @ SY446 )
| ~ ( isPrime0 @ SY446 )
| ! [SY447: $i] :
( ( ( sdtasdt0 @ SV338 @ SY445 )
!= ( sdtasdt0 @ SY446 @ SY447 ) )
| ~ ( aNaturalNumber0 @ SY447 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY445 ) @ SY446 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY446 @ SV338 )
| ( doDivides0 @ SY446 @ SY445 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4437]) ).
thf(4481,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY448 )
| ~ ( aNaturalNumber0 @ SY449 )
| ~ ( isPrime0 @ SY449 )
| ~ ( doDivides0 @ SY449 @ ( sdtasdt0 @ SV338 @ SY448 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY448 ) @ SY449 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY449 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( ( SY448
!= ( sdtasdt0 @ SY449 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) ) )
| ~ ! [SY450: $i,SY451: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY450 )
| ~ ( aNaturalNumber0 @ SY451 )
| ~ ( isPrime0 @ SY451 )
| ~ ( doDivides0 @ SY451 @ ( sdtasdt0 @ SV338 @ SY450 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY450 ) @ SY451 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY451 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ( doDivides0 @ SY451 @ SY450 ) ) )
| ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY452 )
| ~ ( aNaturalNumber0 @ SY453 )
| ~ ( isPrime0 @ SY453 )
| ~ ( doDivides0 @ SY453 @ ( sdtasdt0 @ SV338 @ SY452 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY452 ) @ SY453 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY453 @ SV338 )
| ~ ( ( SY452
!= ( sdtasdt0 @ SY453 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) ) )
| ~ ! [SY454: $i,SY455: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY454 )
| ~ ( aNaturalNumber0 @ SY455 )
| ~ ( isPrime0 @ SY455 )
| ~ ( doDivides0 @ SY455 @ ( sdtasdt0 @ SV338 @ SY454 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY454 ) @ SY455 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY455 @ SV338 )
| ( doDivides0 @ SY455 @ SY454 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4438]) ).
thf(4482,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4439]) ).
thf(4483,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4439]) ).
thf(4484,plain,
( ( ~ ( ( xr != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4440]) ).
thf(4485,plain,
( ( ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4440]) ).
thf(4486,plain,
! [SV361: $i,SV339: $i] :
( ( ( SV339 = SV361 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV339 @ SV361 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY488: $i] :
( ~ ( aNaturalNumber0 @ SY488 )
| ( ( sdtpldt0 @ SV339 @ SY488 )
!= ( sdtpldt0 @ SV361 @ SY488 ) ) )
| ~ ~ ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) )
| ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) ) )
| ~ ! [SY491: $i] :
( ~ ( aNaturalNumber0 @ SY491 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV339 @ SY491 ) @ ( sdtpldt0 @ SV361 @ SY491 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4441]) ).
thf(4487,plain,
! [SV398: $i,SV340: $i] :
( ( ! [SY501: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV398 )
| ~ ( aNaturalNumber0 @ SY501 )
| ( SV340 = sz00 )
| ( SV398 = SY501 )
| ~ ( sdtlseqdt0 @ SV398 @ SY501 )
| ( ( sdtasdt0 @ SV398 @ SV340 )
!= ( sdtasdt0 @ SY501 @ SV340 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4442]) ).
thf(4488,plain,
! [SV340: $i] :
( ( ~ ! [SY463: $i,SY464: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY463 )
| ~ ( aNaturalNumber0 @ SY464 )
| ( SV340 = sz00 )
| ( SY463 = SY464 )
| ~ ( sdtlseqdt0 @ SY463 @ SY464 )
| ( ( sdtasdt0 @ SV340 @ SY463 )
!= ( sdtasdt0 @ SV340 @ SY464 ) ) )
| ~ ! [SY465: $i,SY466: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY465 )
| ~ ( aNaturalNumber0 @ SY466 )
| ( SV340 = sz00 )
| ( SY465 = SY466 )
| ~ ( sdtlseqdt0 @ SY465 @ SY466 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SY465 ) @ ( sdtasdt0 @ SV340 @ SY466 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4443]) ).
thf(4489,plain,
! [SV393: $i,SV386: $i,SV340: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV386 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV393 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV386 = SV393 )
| ~ ( sdtlseqdt0 @ SV386 @ SV393 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV386 @ SV340 ) @ ( sdtasdt0 @ SV393 @ SV340 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4444]) ).
thf(4490,plain,
! [SV371: $i] :
( ( ( sz10 = SV371 )
= $false )
| ( ( ( SV371 = sz00 )
| ( SV371 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV371 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4445]) ).
thf(4491,plain,
! [SV372: $i] :
( ( ( SV372 = sz00 )
= $true )
| ( ( SV372 = sz10 )
= $true )
| ( ( sdtlseqdt0 @ sz10 @ SV372 )
= $true )
| ( ( aNaturalNumber0 @ SV372 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4446]) ).
thf(4492,plain,
! [SV394: $i,SV387: $i,SV341: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SV387 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV394 ) )
= $true )
| ( ( ( sdtasdt0 @ SV341 @ ( sdtpldt0 @ SV387 @ SV394 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV341 @ SV387 ) @ ( sdtasdt0 @ SV341 @ SV394 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4447]) ).
thf(4493,plain,
! [SV395: $i,SV388: $i,SV341: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV341 )
| ~ ( aNaturalNumber0 @ SV388 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV395 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV388 @ SV395 ) @ SV341 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV388 @ SV341 ) @ ( sdtasdt0 @ SV395 @ SV341 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4448]) ).
thf(4494,plain,
! [SV342: $i,SV399: $i] :
( ( ( ! [SY502: $i] :
( ~ ( aNaturalNumber0 @ SV399 )
| ~ ( aNaturalNumber0 @ SY502 )
| ( ( sdtasdt0 @ SV342 @ SV399 )
!= ( sdtasdt0 @ SV342 @ SY502 ) )
| ( SV399 = SY502 ) ) )
= $true )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4449]) ).
thf(4495,plain,
! [SV342: $i,SV400: $i] :
( ( ( ! [SY503: $i] :
( ~ ( aNaturalNumber0 @ SV400 )
| ~ ( aNaturalNumber0 @ SY503 )
| ( ( sdtasdt0 @ SV400 @ SV342 )
!= ( sdtasdt0 @ SY503 @ SV342 ) )
| ( SV400 = SY503 ) ) )
= $true )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4450]) ).
thf(4496,plain,
( ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4451]) ).
thf(4497,plain,
( ( ~ ( aNaturalNumber0 @ sK4_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4451]) ).
thf(4498,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4452]) ).
thf(4499,plain,
( ( ~ ( aNaturalNumber0 @ sK3_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4452]) ).
thf(4500,plain,
! [SV343: $i] :
( ( ( ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV343 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV343 ) @ SV343 ) ) )
= $true )
| ( ( SV343 = sz10 )
= $true )
| ( ( SV343 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV343 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4454]) ).
thf(4501,plain,
! [SV343: $i] :
( ( ( isPrime0 @ ( sK1_W1 @ SV343 ) )
= $true )
| ( ( SV343 = sz10 )
= $true )
| ( ( SV343 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV343 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4455]) ).
thf(4502,plain,
! [SV396: $i,SV389: $i,SV344: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SV389 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV396 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV344 @ SV389 )
!= ( sdtpldt0 @ SV344 @ SV396 ) )
| ( SV389 = SV396 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4456]) ).
thf(4503,plain,
! [SV397: $i,SV390: $i,SV344: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV344 )
| ~ ( aNaturalNumber0 @ SV390 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV397 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV390 @ SV344 )
!= ( sdtpldt0 @ SV397 @ SV344 ) )
| ( SV390 = SV397 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4457]) ).
thf(4504,plain,
( ( ~ ( ( xm != xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4458]) ).
thf(4505,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4458]) ).
thf(4506,plain,
( ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4459]) ).
thf(4507,plain,
( ( ~ ( aNaturalNumber0 @ sK6_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4459]) ).
thf(4508,plain,
! [SV391: $i,SV380: $i] :
( ( ( aNaturalNumber0 @ SV380 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV391 ) )
= $true )
| ( ( ( SV391 != SV380 )
| ( sdtlseqdt0 @ SV380 @ SV391 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4460]) ).
thf(4509,plain,
! [SV392: $i,SV381: $i] :
( ( ( aNaturalNumber0 @ SV381 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV392 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV392 @ SV381 )
| ( sdtlseqdt0 @ SV381 @ SV392 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4461]) ).
thf(4510,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4463]) ).
thf(4511,plain,
( ( ~ ( isPrime0 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4463]) ).
thf(4512,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4464]) ).
thf(4513,plain,
( ( ~ ( aNaturalNumber0 @ sK8_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4464]) ).
thf(4514,plain,
! [SV348: $i,SV324: $i,SV362: $i] :
( ( ( aNaturalNumber0 @ SV362 )
= $false )
| ( ( aNaturalNumber0 @ SV324 )
= $false )
| ( ( aNaturalNumber0 @ SV348 )
= $false )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV324 @ SV348 ) @ SV362 )
= ( sdtpldt0 @ SV324 @ ( sdtpldt0 @ SV348 @ SV362 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4465]) ).
thf(4515,plain,
! [SV350: $i,SV326: $i,SV363: $i] :
( ( ( aNaturalNumber0 @ SV363 )
= $false )
| ( ( aNaturalNumber0 @ SV326 )
= $false )
| ( ( aNaturalNumber0 @ SV350 )
= $false )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV326 @ SV350 ) @ SV363 )
= ( sdtasdt0 @ SV326 @ ( sdtasdt0 @ SV350 @ SV363 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4466]) ).
thf(4516,plain,
! [SV351: $i,SV327: $i] :
( ( ( SV327 = sz00 )
= $true )
| ( ( SV351 = sz00 )
= $true )
| ( ( ( sdtasdt0 @ SV327 @ SV351 )
= sz00 )
= $false )
| ( ( aNaturalNumber0 @ SV327 )
= $false )
| ( ( aNaturalNumber0 @ SV351 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4467]) ).
thf(4517,plain,
! [SV352: $i,SV329: $i] :
( ( ( sdtlseqdt0 @ SV329 @ SV352 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV352 @ SV329 ) )
= $true )
| ( ( SV329 = SV352 )
= $true )
| ( ( aNaturalNumber0 @ SV329 )
= $false )
| ( ( aNaturalNumber0 @ SV352 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4468]) ).
thf(4518,plain,
! [SV353: $i,SV330: $i,SV364: $i] :
( ( ( aNaturalNumber0 @ SV364 )
= $false )
| ( ( aNaturalNumber0 @ SV330 )
= $false )
| ( ( aNaturalNumber0 @ SV353 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV330 @ SV353 )
| ~ ( sdtlseqdt0 @ SV353 @ SV364 )
| ( sdtlseqdt0 @ SV330 @ SV364 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4469]) ).
thf(4519,plain,
! [SV355: $i,SV332: $i] :
( ( ( sdtlseqdt0 @ SV332 @ SV355 )
= $false )
| ( ( SV332 = SV355 )
= $true )
| ( ( iLess0 @ SV332 @ SV355 )
= $true )
| ( ( aNaturalNumber0 @ SV332 )
= $false )
| ( ( aNaturalNumber0 @ SV355 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4470]) ).
thf(4520,plain,
! [SV356: $i,SV333: $i,SV366: $i] :
( ( ( aNaturalNumber0 @ SV366 )
= $false )
| ( ( aNaturalNumber0 @ SV333 )
= $false )
| ( ( aNaturalNumber0 @ SV356 )
= $false )
| ( ( ~ ( doDivides0 @ SV333 @ SV356 )
| ~ ( doDivides0 @ SV356 @ SV366 )
| ( doDivides0 @ SV333 @ SV366 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4471]) ).
thf(4521,plain,
! [SV357: $i,SV334: $i,SV367: $i] :
( ( ( aNaturalNumber0 @ SV367 )
= $false )
| ( ( aNaturalNumber0 @ SV334 )
= $false )
| ( ( aNaturalNumber0 @ SV357 )
= $false )
| ( ( ~ ( doDivides0 @ SV334 @ SV357 )
| ~ ( doDivides0 @ SV334 @ SV367 )
| ( doDivides0 @ SV334 @ ( sdtpldt0 @ SV357 @ SV367 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4472]) ).
thf(4522,plain,
! [SV358: $i,SV335: $i,SV368: $i] :
( ( ( aNaturalNumber0 @ SV368 )
= $false )
| ( ( aNaturalNumber0 @ SV335 )
= $false )
| ( ( aNaturalNumber0 @ SV358 )
= $false )
| ( ( ~ ( doDivides0 @ SV335 @ SV358 )
| ~ ( doDivides0 @ SV335 @ ( sdtpldt0 @ SV358 @ SV368 ) )
| ( doDivides0 @ SV335 @ SV368 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4473]) ).
thf(4523,plain,
! [SV359: $i,SV336: $i] :
( ( ( doDivides0 @ SV336 @ SV359 )
= $false )
| ( ( SV359 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ SV336 @ SV359 )
= $true )
| ( ( aNaturalNumber0 @ SV336 )
= $false )
| ( ( aNaturalNumber0 @ SV359 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4474]) ).
thf(4524,plain,
! [SV360: $i,SV337: $i] :
( ( ( doDivides0 @ SV337 @ SV360 )
= $false )
| ( ( SV337 = sz00 )
= $true )
| ( ( ! [SY487: $i] :
( ~ ( aNaturalNumber0 @ SY487 )
| ( ( sdtasdt0 @ SY487 @ ( sdtsldt0 @ SV360 @ SV337 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY487 @ SV360 ) @ SV337 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV337 )
= $false )
| ( ( aNaturalNumber0 @ SV360 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4475]) ).
thf(4525,plain,
! [SV369: $i,SV384: $i] :
( ( ( aNaturalNumber0 @ SV384 )
= $false )
| ( ( aNaturalNumber0 @ SV369 )
= $false )
| ( ( ( ( sdtpldt0 @ SV369 @ SV384 )
!= sz00 )
| ( SV369 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4476]) ).
thf(4526,plain,
! [SV370: $i,SV385: $i] :
( ( ( aNaturalNumber0 @ SV385 )
= $false )
| ( ( aNaturalNumber0 @ SV370 )
= $false )
| ( ( ( ( sdtpldt0 @ SV370 @ SV385 )
!= sz00 )
| ( SV385 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4477]) ).
thf(4527,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ! [SY416: $i,SY417: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY416 )
| ~ ( aNaturalNumber0 @ SY417 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY417
!= ( sdtasdt0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ SY417 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= SY417 ) ) ) )
| ( SY417 = sz00 )
| ( SY417 = sz10 )
| ! [SY418: $i] :
( ( ( sdtasdt0 @ SV338 @ SY416 )
!= ( sdtasdt0 @ SY417 @ SY418 ) )
| ~ ( aNaturalNumber0 @ SY418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY416 ) @ SY417 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY417 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( ( SY416
!= ( sdtasdt0 @ SY417 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY419 )
| ~ ( aNaturalNumber0 @ SY420 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY420
!= ( sdtasdt0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ SY420 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= SY420 ) ) ) )
| ( SY420 = sz00 )
| ( SY420 = sz10 )
| ! [SY421: $i] :
( ( ( sdtasdt0 @ SV338 @ SY419 )
!= ( sdtasdt0 @ SY420 @ SY421 ) )
| ~ ( aNaturalNumber0 @ SY421 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY419 ) @ SY420 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY420 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ( doDivides0 @ SY420 @ SY419 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4478]) ).
thf(4528,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ! [SY422: $i,SY423: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY422 )
| ~ ( aNaturalNumber0 @ SY423 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY423
!= ( sdtasdt0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ SY423 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= SY423 ) ) ) )
| ( SY423 = sz00 )
| ( SY423 = sz10 )
| ! [SY424: $i] :
( ( ( sdtasdt0 @ SV338 @ SY422 )
!= ( sdtasdt0 @ SY423 @ SY424 ) )
| ~ ( aNaturalNumber0 @ SY424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY422 ) @ SY423 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY423 @ SV338 )
| ~ ( ( SY422
!= ( sdtasdt0 @ SY423 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) ) )
| ~ ! [SY425: $i,SY426: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY425 )
| ~ ( aNaturalNumber0 @ SY426 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY426
!= ( sdtasdt0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ SY426 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= SY426 ) ) ) )
| ( SY426 = sz00 )
| ( SY426 = sz10 )
| ! [SY427: $i] :
( ( ( sdtasdt0 @ SV338 @ SY425 )
!= ( sdtasdt0 @ SY426 @ SY427 ) )
| ~ ( aNaturalNumber0 @ SY427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY425 ) @ SY426 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY426 @ SV338 )
| ( doDivides0 @ SY426 @ SY425 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4478]) ).
thf(4529,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ! [SY428: $i,SY429: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY428 )
| ~ ( aNaturalNumber0 @ SY429 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY429
!= ( sdtasdt0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ SY429 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= SY429 ) ) ) )
| ( SY429 = sz00 )
| ( SY429 = sz10 )
| ~ ( doDivides0 @ SY429 @ ( sdtasdt0 @ SV338 @ SY428 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY428 ) @ SY429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY429 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( ( SY428
!= ( sdtasdt0 @ SY429 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) ) )
| ~ ! [SY430: $i,SY431: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY430 )
| ~ ( aNaturalNumber0 @ SY431 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY431
!= ( sdtasdt0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ SY431 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= SY431 ) ) ) )
| ( SY431 = sz00 )
| ( SY431 = sz10 )
| ~ ( doDivides0 @ SY431 @ ( sdtasdt0 @ SV338 @ SY430 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY430 ) @ SY431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY431 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ( doDivides0 @ SY431 @ SY430 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4479]) ).
thf(4530,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ! [SY432: $i,SY433: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY432 )
| ~ ( aNaturalNumber0 @ SY433 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY433
!= ( sdtasdt0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ SY433 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= SY433 ) ) ) )
| ( SY433 = sz00 )
| ( SY433 = sz10 )
| ~ ( doDivides0 @ SY433 @ ( sdtasdt0 @ SV338 @ SY432 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY432 ) @ SY433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY433 @ SV338 )
| ~ ( ( SY432
!= ( sdtasdt0 @ SY433 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY434 )
| ~ ( aNaturalNumber0 @ SY435 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY435
!= ( sdtasdt0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ SY435 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= SY435 ) ) ) )
| ( SY435 = sz00 )
| ( SY435 = sz10 )
| ~ ( doDivides0 @ SY435 @ ( sdtasdt0 @ SV338 @ SY434 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY434 ) @ SY435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY435 @ SV338 )
| ( doDivides0 @ SY435 @ SY434 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4479]) ).
thf(4531,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ! [SY436: $i,SY437: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY436 )
| ~ ( aNaturalNumber0 @ SY437 )
| ~ ( isPrime0 @ SY437 )
| ! [SY438: $i] :
( ( ( sdtasdt0 @ SV338 @ SY436 )
!= ( sdtasdt0 @ SY437 @ SY438 ) )
| ~ ( aNaturalNumber0 @ SY438 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY436 ) @ SY437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY437 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( ( SY436
!= ( sdtasdt0 @ SY437 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) ) )
| ~ ! [SY439: $i,SY440: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY439 )
| ~ ( aNaturalNumber0 @ SY440 )
| ~ ( isPrime0 @ SY440 )
| ! [SY441: $i] :
( ( ( sdtasdt0 @ SV338 @ SY439 )
!= ( sdtasdt0 @ SY440 @ SY441 ) )
| ~ ( aNaturalNumber0 @ SY441 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY439 ) @ SY440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY440 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ( doDivides0 @ SY440 @ SY439 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4480]) ).
thf(4532,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ! [SY442: $i,SY443: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY442 )
| ~ ( aNaturalNumber0 @ SY443 )
| ~ ( isPrime0 @ SY443 )
| ! [SY444: $i] :
( ( ( sdtasdt0 @ SV338 @ SY442 )
!= ( sdtasdt0 @ SY443 @ SY444 ) )
| ~ ( aNaturalNumber0 @ SY444 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY442 ) @ SY443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY443 @ SV338 )
| ~ ( ( SY442
!= ( sdtasdt0 @ SY443 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) ) )
| ~ ! [SY445: $i,SY446: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY445 )
| ~ ( aNaturalNumber0 @ SY446 )
| ~ ( isPrime0 @ SY446 )
| ! [SY447: $i] :
( ( ( sdtasdt0 @ SV338 @ SY445 )
!= ( sdtasdt0 @ SY446 @ SY447 ) )
| ~ ( aNaturalNumber0 @ SY447 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY445 ) @ SY446 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY446 @ SV338 )
| ( doDivides0 @ SY446 @ SY445 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4480]) ).
thf(4533,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY448 )
| ~ ( aNaturalNumber0 @ SY449 )
| ~ ( isPrime0 @ SY449 )
| ~ ( doDivides0 @ SY449 @ ( sdtasdt0 @ SV338 @ SY448 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY448 ) @ SY449 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY449 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( ( SY448
!= ( sdtasdt0 @ SY449 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) ) )
| ~ ! [SY450: $i,SY451: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY450 )
| ~ ( aNaturalNumber0 @ SY451 )
| ~ ( isPrime0 @ SY451 )
| ~ ( doDivides0 @ SY451 @ ( sdtasdt0 @ SV338 @ SY450 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY450 ) @ SY451 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY451 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ( doDivides0 @ SY451 @ SY450 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4481]) ).
thf(4534,plain,
! [SV338: $i] :
( ( ~ ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY452 )
| ~ ( aNaturalNumber0 @ SY453 )
| ~ ( isPrime0 @ SY453 )
| ~ ( doDivides0 @ SY453 @ ( sdtasdt0 @ SV338 @ SY452 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY452 ) @ SY453 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY453 @ SV338 )
| ~ ( ( SY452
!= ( sdtasdt0 @ SY453 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) ) )
| ~ ! [SY454: $i,SY455: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY454 )
| ~ ( aNaturalNumber0 @ SY455 )
| ~ ( isPrime0 @ SY455 )
| ~ ( doDivides0 @ SY455 @ ( sdtasdt0 @ SV338 @ SY454 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY454 ) @ SY455 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY455 @ SV338 )
| ( doDivides0 @ SY455 @ SY454 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4481]) ).
thf(4535,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4482]) ).
thf(4536,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4483]) ).
thf(4537,plain,
( ( ( xr != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4484]) ).
thf(4538,plain,
( ( ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4485]) ).
thf(4539,plain,
! [SV361: $i,SV339: $i] :
( ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( SV339 = SV361 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY488: $i] :
( ~ ( aNaturalNumber0 @ SY488 )
| ( ( sdtpldt0 @ SV339 @ SY488 )
!= ( sdtpldt0 @ SV361 @ SY488 ) ) )
| ~ ~ ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) )
| ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) ) )
| ~ ! [SY491: $i] :
( ~ ( aNaturalNumber0 @ SY491 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV339 @ SY491 ) @ ( sdtpldt0 @ SV361 @ SY491 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4486]) ).
thf(4540,plain,
! [SV401: $i,SV398: $i,SV340: $i] :
( ( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV398 )
| ~ ( aNaturalNumber0 @ SV401 )
| ( SV340 = sz00 )
| ( SV398 = SV401 )
| ~ ( sdtlseqdt0 @ SV398 @ SV401 )
| ( ( sdtasdt0 @ SV398 @ SV340 )
!= ( sdtasdt0 @ SV401 @ SV340 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4487]) ).
thf(4541,plain,
! [SV340: $i] :
( ( ~ ! [SY463: $i,SY464: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY463 )
| ~ ( aNaturalNumber0 @ SY464 )
| ( SV340 = sz00 )
| ( SY463 = SY464 )
| ~ ( sdtlseqdt0 @ SY463 @ SY464 )
| ( ( sdtasdt0 @ SV340 @ SY463 )
!= ( sdtasdt0 @ SV340 @ SY464 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4488]) ).
thf(4542,plain,
! [SV340: $i] :
( ( ~ ! [SY465: $i,SY466: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY465 )
| ~ ( aNaturalNumber0 @ SY466 )
| ( SV340 = sz00 )
| ( SY465 = SY466 )
| ~ ( sdtlseqdt0 @ SY465 @ SY466 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SY465 ) @ ( sdtasdt0 @ SV340 @ SY466 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4488]) ).
thf(4543,plain,
! [SV393: $i,SV386: $i,SV340: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV340 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV386 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV393 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV386 = SV393 )
| ~ ( sdtlseqdt0 @ SV386 @ SV393 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV386 @ SV340 ) @ ( sdtasdt0 @ SV393 @ SV340 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4489]) ).
thf(4544,plain,
! [SV371: $i] :
( ( ( SV371 = sz00 )
= $true )
| ( ( SV371 = sz10 )
= $true )
| ( ( sz10 = SV371 )
= $false )
| ( ( aNaturalNumber0 @ SV371 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4490]) ).
thf(4545,plain,
! [SV394: $i,SV387: $i,SV341: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV341 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV387 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV394 ) )
= $true )
| ( ( ( sdtasdt0 @ SV341 @ ( sdtpldt0 @ SV387 @ SV394 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV341 @ SV387 ) @ ( sdtasdt0 @ SV341 @ SV394 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4492]) ).
thf(4546,plain,
! [SV395: $i,SV388: $i,SV341: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV341 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV388 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV395 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV388 @ SV395 ) @ SV341 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV388 @ SV341 ) @ ( sdtasdt0 @ SV395 @ SV341 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4493]) ).
thf(4547,plain,
! [SV342: $i,SV402: $i,SV399: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV399 )
| ~ ( aNaturalNumber0 @ SV402 )
| ( ( sdtasdt0 @ SV342 @ SV399 )
!= ( sdtasdt0 @ SV342 @ SV402 ) )
| ( SV399 = SV402 ) )
= $true )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4494]) ).
thf(4548,plain,
! [SV342: $i,SV403: $i,SV400: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV400 )
| ~ ( aNaturalNumber0 @ SV403 )
| ( ( sdtasdt0 @ SV400 @ SV342 )
!= ( sdtasdt0 @ SV403 @ SV342 ) )
| ( SV400 = SV403 ) )
= $true )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4495]) ).
thf(4549,plain,
( ( ( sdtpldt0 @ xr @ sK4_W0 )
= xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4496]) ).
thf(4550,plain,
( ( aNaturalNumber0 @ sK4_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4497]) ).
thf(4551,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sK3_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4498]) ).
thf(4552,plain,
( ( aNaturalNumber0 @ sK3_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4499]) ).
thf(4553,plain,
! [SV343: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV343 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV343 ) @ SV343 ) )
= $false )
| ( ( SV343 = sz10 )
= $true )
| ( ( SV343 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV343 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4500]) ).
thf(4554,plain,
! [SV396: $i,SV389: $i,SV344: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV344 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV389 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV396 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV344 @ SV389 )
!= ( sdtpldt0 @ SV344 @ SV396 ) )
| ( SV389 = SV396 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4502]) ).
thf(4555,plain,
! [SV397: $i,SV390: $i,SV344: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV344 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV390 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV397 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV390 @ SV344 )
!= ( sdtpldt0 @ SV397 @ SV344 ) )
| ( SV390 = SV397 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4503]) ).
thf(4556,plain,
( ( ( xm != xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4504]) ).
thf(4557,plain,
( ( ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4505]) ).
thf(4558,plain,
( ( ( sdtpldt0 @ xm @ sK6_W0 )
= xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4506]) ).
thf(4559,plain,
( ( aNaturalNumber0 @ sK6_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4507]) ).
thf(4560,plain,
! [SV380: $i,SV391: $i] :
( ( ( aNaturalNumber0 @ SV391 )
= $false )
| ( ( aNaturalNumber0 @ SV380 )
= $false )
| ( ( ( SV391 != SV380 )
| ( sdtlseqdt0 @ SV380 @ SV391 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4508]) ).
thf(4561,plain,
! [SV381: $i,SV392: $i] :
( ( ( aNaturalNumber0 @ SV392 )
= $false )
| ( ( aNaturalNumber0 @ SV381 )
= $false )
| ( ( ( sdtlseqdt0 @ SV392 @ SV381 )
| ( sdtlseqdt0 @ SV381 @ SV392 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4509]) ).
thf(4562,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4510]) ).
thf(4563,plain,
( ( isPrime0 @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4511]) ).
thf(4564,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ sK8_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4512]) ).
thf(4565,plain,
( ( aNaturalNumber0 @ sK8_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4513]) ).
thf(4566,plain,
! [SV329: $i,SV352: $i] :
( ( ( sdtlseqdt0 @ SV352 @ SV329 )
= $false )
| ( ( sdtlseqdt0 @ SV329 @ SV352 )
= $false )
| ( ( SV329 = SV352 )
= $true )
| ( ( aNaturalNumber0 @ SV329 )
= $false )
| ( ( aNaturalNumber0 @ SV352 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4517]) ).
thf(4567,plain,
! [SV364: $i,SV353: $i,SV330: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV330 @ SV353 )
| ~ ( sdtlseqdt0 @ SV353 @ SV364 ) )
= $true )
| ( ( sdtlseqdt0 @ SV330 @ SV364 )
= $true )
| ( ( aNaturalNumber0 @ SV353 )
= $false )
| ( ( aNaturalNumber0 @ SV330 )
= $false )
| ( ( aNaturalNumber0 @ SV364 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4518]) ).
thf(4568,plain,
! [SV366: $i,SV356: $i,SV333: $i] :
( ( ( ~ ( doDivides0 @ SV333 @ SV356 )
| ~ ( doDivides0 @ SV356 @ SV366 ) )
= $true )
| ( ( doDivides0 @ SV333 @ SV366 )
= $true )
| ( ( aNaturalNumber0 @ SV356 )
= $false )
| ( ( aNaturalNumber0 @ SV333 )
= $false )
| ( ( aNaturalNumber0 @ SV366 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4520]) ).
thf(4569,plain,
! [SV367: $i,SV357: $i,SV334: $i] :
( ( ( ~ ( doDivides0 @ SV334 @ SV357 )
| ~ ( doDivides0 @ SV334 @ SV367 ) )
= $true )
| ( ( doDivides0 @ SV334 @ ( sdtpldt0 @ SV357 @ SV367 ) )
= $true )
| ( ( aNaturalNumber0 @ SV357 )
= $false )
| ( ( aNaturalNumber0 @ SV334 )
= $false )
| ( ( aNaturalNumber0 @ SV367 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4521]) ).
thf(4570,plain,
! [SV368: $i,SV358: $i,SV335: $i] :
( ( ( ~ ( doDivides0 @ SV335 @ SV358 )
| ~ ( doDivides0 @ SV335 @ ( sdtpldt0 @ SV358 @ SV368 ) ) )
= $true )
| ( ( doDivides0 @ SV335 @ SV368 )
= $true )
| ( ( aNaturalNumber0 @ SV358 )
= $false )
| ( ( aNaturalNumber0 @ SV335 )
= $false )
| ( ( aNaturalNumber0 @ SV368 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4522]) ).
thf(4571,plain,
! [SV337: $i,SV360: $i,SV404: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV404 )
| ( ( sdtasdt0 @ SV404 @ ( sdtsldt0 @ SV360 @ SV337 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SV404 @ SV360 ) @ SV337 ) ) )
= $true )
| ( ( SV337 = sz00 )
= $true )
| ( ( doDivides0 @ SV337 @ SV360 )
= $false )
| ( ( aNaturalNumber0 @ SV337 )
= $false )
| ( ( aNaturalNumber0 @ SV360 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4524]) ).
thf(4572,plain,
! [SV384: $i,SV369: $i] :
( ( ( ( ( sdtpldt0 @ SV369 @ SV384 )
!= sz00 ) )
= $true )
| ( ( SV369 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV369 )
= $false )
| ( ( aNaturalNumber0 @ SV384 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4525]) ).
thf(4573,plain,
! [SV385: $i,SV370: $i] :
( ( ( ( ( sdtpldt0 @ SV370 @ SV385 )
!= sz00 ) )
= $true )
| ( ( SV385 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV370 )
= $false )
| ( ( aNaturalNumber0 @ SV385 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4526]) ).
thf(4574,plain,
! [SV338: $i] :
( ( ~ ( ~ ! [SY416: $i,SY417: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY416 )
| ~ ( aNaturalNumber0 @ SY417 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY417
!= ( sdtasdt0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ SY417 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= SY417 ) ) ) )
| ( SY417 = sz00 )
| ( SY417 = sz10 )
| ! [SY418: $i] :
( ( ( sdtasdt0 @ SV338 @ SY416 )
!= ( sdtasdt0 @ SY417 @ SY418 ) )
| ~ ( aNaturalNumber0 @ SY418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY416 ) @ SY417 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY417 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( ( SY416
!= ( sdtasdt0 @ SY417 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY419 )
| ~ ( aNaturalNumber0 @ SY420 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY420
!= ( sdtasdt0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ SY420 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= SY420 ) ) ) )
| ( SY420 = sz00 )
| ( SY420 = sz10 )
| ! [SY421: $i] :
( ( ( sdtasdt0 @ SV338 @ SY419 )
!= ( sdtasdt0 @ SY420 @ SY421 ) )
| ~ ( aNaturalNumber0 @ SY421 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY419 ) @ SY420 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY420 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ( doDivides0 @ SY420 @ SY419 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4527]) ).
thf(4575,plain,
! [SV338: $i] :
( ( ~ ( ~ ! [SY422: $i,SY423: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY422 )
| ~ ( aNaturalNumber0 @ SY423 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY423
!= ( sdtasdt0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ SY423 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= SY423 ) ) ) )
| ( SY423 = sz00 )
| ( SY423 = sz10 )
| ! [SY424: $i] :
( ( ( sdtasdt0 @ SV338 @ SY422 )
!= ( sdtasdt0 @ SY423 @ SY424 ) )
| ~ ( aNaturalNumber0 @ SY424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY422 ) @ SY423 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY423 @ SV338 )
| ~ ( ( SY422
!= ( sdtasdt0 @ SY423 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) ) )
| ~ ! [SY425: $i,SY426: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY425 )
| ~ ( aNaturalNumber0 @ SY426 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY426
!= ( sdtasdt0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ SY426 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= SY426 ) ) ) )
| ( SY426 = sz00 )
| ( SY426 = sz10 )
| ! [SY427: $i] :
( ( ( sdtasdt0 @ SV338 @ SY425 )
!= ( sdtasdt0 @ SY426 @ SY427 ) )
| ~ ( aNaturalNumber0 @ SY427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY425 ) @ SY426 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY426 @ SV338 )
| ( doDivides0 @ SY426 @ SY425 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4528]) ).
thf(4576,plain,
! [SV338: $i] :
( ( ~ ( ~ ! [SY428: $i,SY429: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY428 )
| ~ ( aNaturalNumber0 @ SY429 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY429
!= ( sdtasdt0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ SY429 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= SY429 ) ) ) )
| ( SY429 = sz00 )
| ( SY429 = sz10 )
| ~ ( doDivides0 @ SY429 @ ( sdtasdt0 @ SV338 @ SY428 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY428 ) @ SY429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY429 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( ( SY428
!= ( sdtasdt0 @ SY429 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) ) )
| ~ ! [SY430: $i,SY431: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY430 )
| ~ ( aNaturalNumber0 @ SY431 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY431
!= ( sdtasdt0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ SY431 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= SY431 ) ) ) )
| ( SY431 = sz00 )
| ( SY431 = sz10 )
| ~ ( doDivides0 @ SY431 @ ( sdtasdt0 @ SV338 @ SY430 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY430 ) @ SY431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY431 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ( doDivides0 @ SY431 @ SY430 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4529]) ).
thf(4577,plain,
! [SV338: $i] :
( ( ~ ( ~ ! [SY432: $i,SY433: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY432 )
| ~ ( aNaturalNumber0 @ SY433 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY433
!= ( sdtasdt0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ SY433 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= SY433 ) ) ) )
| ( SY433 = sz00 )
| ( SY433 = sz10 )
| ~ ( doDivides0 @ SY433 @ ( sdtasdt0 @ SV338 @ SY432 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY432 ) @ SY433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY433 @ SV338 )
| ~ ( ( SY432
!= ( sdtasdt0 @ SY433 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY434 )
| ~ ( aNaturalNumber0 @ SY435 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY435
!= ( sdtasdt0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ SY435 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= SY435 ) ) ) )
| ( SY435 = sz00 )
| ( SY435 = sz10 )
| ~ ( doDivides0 @ SY435 @ ( sdtasdt0 @ SV338 @ SY434 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY434 ) @ SY435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY435 @ SV338 )
| ( doDivides0 @ SY435 @ SY434 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4530]) ).
thf(4578,plain,
! [SV338: $i] :
( ( ~ ( ~ ! [SY436: $i,SY437: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY436 )
| ~ ( aNaturalNumber0 @ SY437 )
| ~ ( isPrime0 @ SY437 )
| ! [SY438: $i] :
( ( ( sdtasdt0 @ SV338 @ SY436 )
!= ( sdtasdt0 @ SY437 @ SY438 ) )
| ~ ( aNaturalNumber0 @ SY438 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY436 ) @ SY437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY437 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( ( SY436
!= ( sdtasdt0 @ SY437 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) ) )
| ~ ! [SY439: $i,SY440: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY439 )
| ~ ( aNaturalNumber0 @ SY440 )
| ~ ( isPrime0 @ SY440 )
| ! [SY441: $i] :
( ( ( sdtasdt0 @ SV338 @ SY439 )
!= ( sdtasdt0 @ SY440 @ SY441 ) )
| ~ ( aNaturalNumber0 @ SY441 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY439 ) @ SY440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY440 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ( doDivides0 @ SY440 @ SY439 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4531]) ).
thf(4579,plain,
! [SV338: $i] :
( ( ~ ( ~ ! [SY442: $i,SY443: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY442 )
| ~ ( aNaturalNumber0 @ SY443 )
| ~ ( isPrime0 @ SY443 )
| ! [SY444: $i] :
( ( ( sdtasdt0 @ SV338 @ SY442 )
!= ( sdtasdt0 @ SY443 @ SY444 ) )
| ~ ( aNaturalNumber0 @ SY444 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY442 ) @ SY443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY443 @ SV338 )
| ~ ( ( SY442
!= ( sdtasdt0 @ SY443 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) ) )
| ~ ! [SY445: $i,SY446: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY445 )
| ~ ( aNaturalNumber0 @ SY446 )
| ~ ( isPrime0 @ SY446 )
| ! [SY447: $i] :
( ( ( sdtasdt0 @ SV338 @ SY445 )
!= ( sdtasdt0 @ SY446 @ SY447 ) )
| ~ ( aNaturalNumber0 @ SY447 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY445 ) @ SY446 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY446 @ SV338 )
| ( doDivides0 @ SY446 @ SY445 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4532]) ).
thf(4580,plain,
! [SV338: $i] :
( ( ~ ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY448 )
| ~ ( aNaturalNumber0 @ SY449 )
| ~ ( isPrime0 @ SY449 )
| ~ ( doDivides0 @ SY449 @ ( sdtasdt0 @ SV338 @ SY448 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY448 ) @ SY449 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY449 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( ( SY448
!= ( sdtasdt0 @ SY449 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) ) )
| ~ ! [SY450: $i,SY451: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY450 )
| ~ ( aNaturalNumber0 @ SY451 )
| ~ ( isPrime0 @ SY451 )
| ~ ( doDivides0 @ SY451 @ ( sdtasdt0 @ SV338 @ SY450 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY450 ) @ SY451 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY451 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ( doDivides0 @ SY451 @ SY450 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4533]) ).
thf(4581,plain,
! [SV338: $i] :
( ( ~ ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY452 )
| ~ ( aNaturalNumber0 @ SY453 )
| ~ ( isPrime0 @ SY453 )
| ~ ( doDivides0 @ SY453 @ ( sdtasdt0 @ SV338 @ SY452 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY452 ) @ SY453 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY453 @ SV338 )
| ~ ( ( SY452
!= ( sdtasdt0 @ SY453 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) ) )
| ~ ! [SY454: $i,SY455: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY454 )
| ~ ( aNaturalNumber0 @ SY455 )
| ~ ( isPrime0 @ SY455 )
| ~ ( doDivides0 @ SY455 @ ( sdtasdt0 @ SV338 @ SY454 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY454 ) @ SY455 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY455 @ SV338 )
| ( doDivides0 @ SY455 @ SY454 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4534]) ).
thf(4582,plain,
! [SV405: $i] :
( ( ~ ( aNaturalNumber0 @ SV405 )
| ! [SY504: $i] :
( ( xr
!= ( sdtasdt0 @ SV405 @ SY504 ) )
| ~ ( aNaturalNumber0 @ SY504 ) )
| ( SV405 = sz10 )
| ( SV405 = xr ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4535]) ).
thf(4583,plain,
! [SV406: $i] :
( ( ~ ( aNaturalNumber0 @ SV406 )
| ~ ( doDivides0 @ SV406 @ xr )
| ( SV406 = sz10 )
| ( SV406 = xr ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4536]) ).
thf(4584,plain,
( ( xr = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4537]) ).
thf(4585,plain,
( ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4538]) ).
thf(4586,plain,
! [SV361: $i,SV339: $i] :
( ( ( ~ ~ ( ~ ! [SY488: $i] :
( ~ ( aNaturalNumber0 @ SY488 )
| ( ( sdtpldt0 @ SV339 @ SY488 )
!= ( sdtpldt0 @ SV361 @ SY488 ) ) )
| ~ ~ ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) )
| ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) ) )
| ~ ! [SY491: $i] :
( ~ ( aNaturalNumber0 @ SY491 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV339 @ SY491 ) @ ( sdtpldt0 @ SV361 @ SY491 ) ) ) )
= $false )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4539]) ).
thf(4587,plain,
! [SV401: $i,SV398: $i,SV340: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV398 )
| ~ ( aNaturalNumber0 @ SV401 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV398 = SV401 )
| ~ ( sdtlseqdt0 @ SV398 @ SV401 )
| ( ( sdtasdt0 @ SV398 @ SV340 )
!= ( sdtasdt0 @ SV401 @ SV340 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4540]) ).
thf(4588,plain,
! [SV340: $i] :
( ( ! [SY463: $i,SY464: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY463 )
| ~ ( aNaturalNumber0 @ SY464 )
| ( SV340 = sz00 )
| ( SY463 = SY464 )
| ~ ( sdtlseqdt0 @ SY463 @ SY464 )
| ( ( sdtasdt0 @ SV340 @ SY463 )
!= ( sdtasdt0 @ SV340 @ SY464 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4541]) ).
thf(4589,plain,
! [SV340: $i] :
( ( ! [SY465: $i,SY466: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SY465 )
| ~ ( aNaturalNumber0 @ SY466 )
| ( SV340 = sz00 )
| ( SY465 = SY466 )
| ~ ( sdtlseqdt0 @ SY465 @ SY466 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SY465 ) @ ( sdtasdt0 @ SV340 @ SY466 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4542]) ).
thf(4590,plain,
! [SV393: $i,SV386: $i,SV340: $i] :
( ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV386 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV393 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV386 = SV393 )
| ~ ( sdtlseqdt0 @ SV386 @ SV393 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV386 @ SV340 ) @ ( sdtasdt0 @ SV393 @ SV340 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4543]) ).
thf(4591,plain,
! [SV394: $i,SV387: $i,SV341: $i] :
( ( ( aNaturalNumber0 @ SV341 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV387 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV394 ) )
= $true )
| ( ( ( sdtasdt0 @ SV341 @ ( sdtpldt0 @ SV387 @ SV394 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV341 @ SV387 ) @ ( sdtasdt0 @ SV341 @ SV394 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4545]) ).
thf(4592,plain,
! [SV395: $i,SV388: $i,SV341: $i] :
( ( ( aNaturalNumber0 @ SV341 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV388 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV395 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV388 @ SV395 ) @ SV341 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV388 @ SV341 ) @ ( sdtasdt0 @ SV395 @ SV341 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4546]) ).
thf(4593,plain,
! [SV342: $i,SV402: $i,SV399: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV399 )
| ~ ( aNaturalNumber0 @ SV402 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV342 @ SV399 )
!= ( sdtasdt0 @ SV342 @ SV402 ) )
| ( SV399 = SV402 ) )
= $true )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4547]) ).
thf(4594,plain,
! [SV342: $i,SV403: $i,SV400: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV400 )
| ~ ( aNaturalNumber0 @ SV403 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV400 @ SV342 )
!= ( sdtasdt0 @ SV403 @ SV342 ) )
| ( SV400 = SV403 ) )
= $true )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4548]) ).
thf(4595,plain,
! [SV343: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV343 ) ) )
= $false )
| ( ( SV343 = sz10 )
= $true )
| ( ( SV343 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV343 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4553]) ).
thf(4596,plain,
! [SV343: $i] :
( ( ( ~ ( doDivides0 @ ( sK1_W1 @ SV343 ) @ SV343 ) )
= $false )
| ( ( SV343 = sz10 )
= $true )
| ( ( SV343 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV343 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4553]) ).
thf(4597,plain,
! [SV396: $i,SV389: $i,SV344: $i] :
( ( ( aNaturalNumber0 @ SV344 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV389 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV396 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV344 @ SV389 )
!= ( sdtpldt0 @ SV344 @ SV396 ) )
| ( SV389 = SV396 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4554]) ).
thf(4598,plain,
! [SV397: $i,SV390: $i,SV344: $i] :
( ( ( aNaturalNumber0 @ SV344 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV390 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV397 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV390 @ SV344 )
!= ( sdtpldt0 @ SV397 @ SV344 ) )
| ( SV390 = SV397 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4555]) ).
thf(4599,plain,
( ( xm = xp )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4556]) ).
thf(4600,plain,
( ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4557]) ).
thf(4601,plain,
! [SV380: $i,SV391: $i] :
( ( ( ( SV391 != SV380 ) )
= $true )
| ( ( sdtlseqdt0 @ SV380 @ SV391 )
= $true )
| ( ( aNaturalNumber0 @ SV380 )
= $false )
| ( ( aNaturalNumber0 @ SV391 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4560]) ).
thf(4602,plain,
! [SV381: $i,SV392: $i] :
( ( ( sdtlseqdt0 @ SV392 @ SV381 )
= $true )
| ( ( sdtlseqdt0 @ SV381 @ SV392 )
= $true )
| ( ( aNaturalNumber0 @ SV381 )
= $false )
| ( ( aNaturalNumber0 @ SV392 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4561]) ).
thf(4603,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4562]) ).
thf(4604,plain,
! [SV364: $i,SV353: $i,SV330: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV330 @ SV353 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV353 @ SV364 ) )
= $true )
| ( ( sdtlseqdt0 @ SV330 @ SV364 )
= $true )
| ( ( aNaturalNumber0 @ SV353 )
= $false )
| ( ( aNaturalNumber0 @ SV330 )
= $false )
| ( ( aNaturalNumber0 @ SV364 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4567]) ).
thf(4605,plain,
! [SV366: $i,SV356: $i,SV333: $i] :
( ( ( ~ ( doDivides0 @ SV333 @ SV356 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV356 @ SV366 ) )
= $true )
| ( ( doDivides0 @ SV333 @ SV366 )
= $true )
| ( ( aNaturalNumber0 @ SV356 )
= $false )
| ( ( aNaturalNumber0 @ SV333 )
= $false )
| ( ( aNaturalNumber0 @ SV366 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4568]) ).
thf(4606,plain,
! [SV367: $i,SV357: $i,SV334: $i] :
( ( ( ~ ( doDivides0 @ SV334 @ SV357 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV334 @ SV367 ) )
= $true )
| ( ( doDivides0 @ SV334 @ ( sdtpldt0 @ SV357 @ SV367 ) )
= $true )
| ( ( aNaturalNumber0 @ SV357 )
= $false )
| ( ( aNaturalNumber0 @ SV334 )
= $false )
| ( ( aNaturalNumber0 @ SV367 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4569]) ).
thf(4607,plain,
! [SV368: $i,SV358: $i,SV335: $i] :
( ( ( ~ ( doDivides0 @ SV335 @ SV358 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV335 @ ( sdtpldt0 @ SV358 @ SV368 ) ) )
= $true )
| ( ( doDivides0 @ SV335 @ SV368 )
= $true )
| ( ( aNaturalNumber0 @ SV358 )
= $false )
| ( ( aNaturalNumber0 @ SV335 )
= $false )
| ( ( aNaturalNumber0 @ SV368 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4570]) ).
thf(4608,plain,
! [SV337: $i,SV360: $i,SV404: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV404 ) )
= $true )
| ( ( ( sdtasdt0 @ SV404 @ ( sdtsldt0 @ SV360 @ SV337 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SV404 @ SV360 ) @ SV337 ) )
= $true )
| ( ( SV337 = sz00 )
= $true )
| ( ( doDivides0 @ SV337 @ SV360 )
= $false )
| ( ( aNaturalNumber0 @ SV337 )
= $false )
| ( ( aNaturalNumber0 @ SV360 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4571]) ).
thf(4609,plain,
! [SV384: $i,SV369: $i] :
( ( ( ( sdtpldt0 @ SV369 @ SV384 )
= sz00 )
= $false )
| ( ( SV369 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV369 )
= $false )
| ( ( aNaturalNumber0 @ SV384 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4572]) ).
thf(4610,plain,
! [SV385: $i,SV370: $i] :
( ( ( ( sdtpldt0 @ SV370 @ SV385 )
= sz00 )
= $false )
| ( ( SV385 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV370 )
= $false )
| ( ( aNaturalNumber0 @ SV385 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4573]) ).
thf(4611,plain,
! [SV338: $i] :
( ( ~ ! [SY416: $i,SY417: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY416 )
| ~ ( aNaturalNumber0 @ SY417 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY417
!= ( sdtasdt0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ SY417 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= SY417 ) ) ) )
| ( SY417 = sz00 )
| ( SY417 = sz10 )
| ! [SY418: $i] :
( ( ( sdtasdt0 @ SV338 @ SY416 )
!= ( sdtasdt0 @ SY417 @ SY418 ) )
| ~ ( aNaturalNumber0 @ SY418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY416 ) @ SY417 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY417 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( ( SY416
!= ( sdtasdt0 @ SY417 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) ) )
| ~ ! [SY419: $i,SY420: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY419 )
| ~ ( aNaturalNumber0 @ SY420 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY420
!= ( sdtasdt0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ SY420 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= SY420 ) ) ) )
| ( SY420 = sz00 )
| ( SY420 = sz10 )
| ! [SY421: $i] :
( ( ( sdtasdt0 @ SV338 @ SY419 )
!= ( sdtasdt0 @ SY420 @ SY421 ) )
| ~ ( aNaturalNumber0 @ SY421 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY419 ) @ SY420 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY420 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ( doDivides0 @ SY420 @ SY419 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4574]) ).
thf(4612,plain,
! [SV338: $i] :
( ( ~ ! [SY422: $i,SY423: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY422 )
| ~ ( aNaturalNumber0 @ SY423 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY423
!= ( sdtasdt0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ SY423 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= SY423 ) ) ) )
| ( SY423 = sz00 )
| ( SY423 = sz10 )
| ! [SY424: $i] :
( ( ( sdtasdt0 @ SV338 @ SY422 )
!= ( sdtasdt0 @ SY423 @ SY424 ) )
| ~ ( aNaturalNumber0 @ SY424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY422 ) @ SY423 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY423 @ SV338 )
| ~ ( ( SY422
!= ( sdtasdt0 @ SY423 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) ) )
| ~ ! [SY425: $i,SY426: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY425 )
| ~ ( aNaturalNumber0 @ SY426 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY426
!= ( sdtasdt0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ SY426 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= SY426 ) ) ) )
| ( SY426 = sz00 )
| ( SY426 = sz10 )
| ! [SY427: $i] :
( ( ( sdtasdt0 @ SV338 @ SY425 )
!= ( sdtasdt0 @ SY426 @ SY427 ) )
| ~ ( aNaturalNumber0 @ SY427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY425 ) @ SY426 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY426 @ SV338 )
| ( doDivides0 @ SY426 @ SY425 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4575]) ).
thf(4613,plain,
! [SV338: $i] :
( ( ~ ! [SY428: $i,SY429: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY428 )
| ~ ( aNaturalNumber0 @ SY429 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY429
!= ( sdtasdt0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ SY429 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= SY429 ) ) ) )
| ( SY429 = sz00 )
| ( SY429 = sz10 )
| ~ ( doDivides0 @ SY429 @ ( sdtasdt0 @ SV338 @ SY428 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY428 ) @ SY429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY429 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( ( SY428
!= ( sdtasdt0 @ SY429 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) ) )
| ~ ! [SY430: $i,SY431: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY430 )
| ~ ( aNaturalNumber0 @ SY431 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY431
!= ( sdtasdt0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ SY431 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= SY431 ) ) ) )
| ( SY431 = sz00 )
| ( SY431 = sz10 )
| ~ ( doDivides0 @ SY431 @ ( sdtasdt0 @ SV338 @ SY430 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY430 ) @ SY431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY431 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ( doDivides0 @ SY431 @ SY430 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4576]) ).
thf(4614,plain,
! [SV338: $i] :
( ( ~ ! [SY432: $i,SY433: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY432 )
| ~ ( aNaturalNumber0 @ SY433 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY433
!= ( sdtasdt0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ SY433 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= SY433 ) ) ) )
| ( SY433 = sz00 )
| ( SY433 = sz10 )
| ~ ( doDivides0 @ SY433 @ ( sdtasdt0 @ SV338 @ SY432 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY432 ) @ SY433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY433 @ SV338 )
| ~ ( ( SY432
!= ( sdtasdt0 @ SY433 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) ) )
| ~ ! [SY434: $i,SY435: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY434 )
| ~ ( aNaturalNumber0 @ SY435 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY435
!= ( sdtasdt0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ SY435 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= SY435 ) ) ) )
| ( SY435 = sz00 )
| ( SY435 = sz10 )
| ~ ( doDivides0 @ SY435 @ ( sdtasdt0 @ SV338 @ SY434 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY434 ) @ SY435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY435 @ SV338 )
| ( doDivides0 @ SY435 @ SY434 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4577]) ).
thf(4615,plain,
! [SV338: $i] :
( ( ~ ! [SY436: $i,SY437: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY436 )
| ~ ( aNaturalNumber0 @ SY437 )
| ~ ( isPrime0 @ SY437 )
| ! [SY438: $i] :
( ( ( sdtasdt0 @ SV338 @ SY436 )
!= ( sdtasdt0 @ SY437 @ SY438 ) )
| ~ ( aNaturalNumber0 @ SY438 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY436 ) @ SY437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY437 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( ( SY436
!= ( sdtasdt0 @ SY437 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) ) )
| ~ ! [SY439: $i,SY440: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY439 )
| ~ ( aNaturalNumber0 @ SY440 )
| ~ ( isPrime0 @ SY440 )
| ! [SY441: $i] :
( ( ( sdtasdt0 @ SV338 @ SY439 )
!= ( sdtasdt0 @ SY440 @ SY441 ) )
| ~ ( aNaturalNumber0 @ SY441 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY439 ) @ SY440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY440 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ( doDivides0 @ SY440 @ SY439 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4578]) ).
thf(4616,plain,
! [SV338: $i] :
( ( ~ ! [SY442: $i,SY443: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY442 )
| ~ ( aNaturalNumber0 @ SY443 )
| ~ ( isPrime0 @ SY443 )
| ! [SY444: $i] :
( ( ( sdtasdt0 @ SV338 @ SY442 )
!= ( sdtasdt0 @ SY443 @ SY444 ) )
| ~ ( aNaturalNumber0 @ SY444 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY442 ) @ SY443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY443 @ SV338 )
| ~ ( ( SY442
!= ( sdtasdt0 @ SY443 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) ) )
| ~ ! [SY445: $i,SY446: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY445 )
| ~ ( aNaturalNumber0 @ SY446 )
| ~ ( isPrime0 @ SY446 )
| ! [SY447: $i] :
( ( ( sdtasdt0 @ SV338 @ SY445 )
!= ( sdtasdt0 @ SY446 @ SY447 ) )
| ~ ( aNaturalNumber0 @ SY447 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY445 ) @ SY446 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY446 @ SV338 )
| ( doDivides0 @ SY446 @ SY445 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4579]) ).
thf(4617,plain,
! [SV338: $i] :
( ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY448 )
| ~ ( aNaturalNumber0 @ SY449 )
| ~ ( isPrime0 @ SY449 )
| ~ ( doDivides0 @ SY449 @ ( sdtasdt0 @ SV338 @ SY448 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY448 ) @ SY449 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY449 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( ( SY448
!= ( sdtasdt0 @ SY449 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) ) )
| ~ ! [SY450: $i,SY451: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY450 )
| ~ ( aNaturalNumber0 @ SY451 )
| ~ ( isPrime0 @ SY451 )
| ~ ( doDivides0 @ SY451 @ ( sdtasdt0 @ SV338 @ SY450 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY450 ) @ SY451 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY451 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ( doDivides0 @ SY451 @ SY450 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4580]) ).
thf(4618,plain,
! [SV338: $i] :
( ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY452 )
| ~ ( aNaturalNumber0 @ SY453 )
| ~ ( isPrime0 @ SY453 )
| ~ ( doDivides0 @ SY453 @ ( sdtasdt0 @ SV338 @ SY452 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY452 ) @ SY453 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY453 @ SV338 )
| ~ ( ( SY452
!= ( sdtasdt0 @ SY453 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) ) )
| ~ ! [SY454: $i,SY455: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY454 )
| ~ ( aNaturalNumber0 @ SY455 )
| ~ ( isPrime0 @ SY455 )
| ~ ( doDivides0 @ SY455 @ ( sdtasdt0 @ SV338 @ SY454 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY454 ) @ SY455 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY455 @ SV338 )
| ( doDivides0 @ SY455 @ SY454 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4581]) ).
thf(4619,plain,
! [SV405: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV405 )
| ! [SY504: $i] :
( ( xr
!= ( sdtasdt0 @ SV405 @ SY504 ) )
| ~ ( aNaturalNumber0 @ SY504 ) ) )
= $true )
| ( ( ( SV405 = sz10 )
| ( SV405 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4582]) ).
thf(4620,plain,
! [SV406: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV406 )
| ~ ( doDivides0 @ SV406 @ xr ) )
= $true )
| ( ( ( SV406 = sz10 )
| ( SV406 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4583]) ).
thf(4621,plain,
( ( ~ ( ( xr != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4585]) ).
thf(4622,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4585]) ).
thf(4623,plain,
! [SV361: $i,SV339: $i] :
( ( ( ~ ~ ( ~ ! [SY488: $i] :
( ~ ( aNaturalNumber0 @ SY488 )
| ( ( sdtpldt0 @ SV339 @ SY488 )
!= ( sdtpldt0 @ SV361 @ SY488 ) ) )
| ~ ~ ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) )
| ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) ) ) )
= $false )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4586]) ).
thf(4624,plain,
! [SV361: $i,SV339: $i] :
( ( ( ~ ! [SY491: $i] :
( ~ ( aNaturalNumber0 @ SY491 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV339 @ SY491 ) @ ( sdtpldt0 @ SV361 @ SY491 ) ) ) )
= $false )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4586]) ).
thf(4625,plain,
! [SV401: $i,SV398: $i,SV340: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV398 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV401 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV398 = SV401 )
| ~ ( sdtlseqdt0 @ SV398 @ SV401 )
| ( ( sdtasdt0 @ SV398 @ SV340 )
!= ( sdtasdt0 @ SV401 @ SV340 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4587]) ).
thf(4626,plain,
! [SV407: $i,SV340: $i] :
( ( ! [SY505: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV407 )
| ~ ( aNaturalNumber0 @ SY505 )
| ( SV340 = sz00 )
| ( SV407 = SY505 )
| ~ ( sdtlseqdt0 @ SV407 @ SY505 )
| ( ( sdtasdt0 @ SV340 @ SV407 )
!= ( sdtasdt0 @ SV340 @ SY505 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4588]) ).
thf(4627,plain,
! [SV408: $i,SV340: $i] :
( ( ! [SY506: $i] :
( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV408 )
| ~ ( aNaturalNumber0 @ SY506 )
| ( SV340 = sz00 )
| ( SV408 = SY506 )
| ~ ( sdtlseqdt0 @ SV408 @ SY506 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SV408 ) @ ( sdtasdt0 @ SV340 @ SY506 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4589]) ).
thf(4628,plain,
! [SV393: $i,SV340: $i,SV386: $i] :
( ( ( aNaturalNumber0 @ SV386 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV393 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV386 = SV393 )
| ~ ( sdtlseqdt0 @ SV386 @ SV393 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV386 @ SV340 ) @ ( sdtasdt0 @ SV393 @ SV340 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4590]) ).
thf(4629,plain,
! [SV394: $i,SV341: $i,SV387: $i] :
( ( ( aNaturalNumber0 @ SV387 )
= $false )
| ( ( aNaturalNumber0 @ SV341 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV394 ) )
= $true )
| ( ( ( sdtasdt0 @ SV341 @ ( sdtpldt0 @ SV387 @ SV394 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV341 @ SV387 ) @ ( sdtasdt0 @ SV341 @ SV394 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4591]) ).
thf(4630,plain,
! [SV395: $i,SV341: $i,SV388: $i] :
( ( ( aNaturalNumber0 @ SV388 )
= $false )
| ( ( aNaturalNumber0 @ SV341 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV395 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV388 @ SV395 ) @ SV341 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV388 @ SV341 ) @ ( sdtasdt0 @ SV395 @ SV341 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4592]) ).
thf(4631,plain,
! [SV342: $i,SV402: $i,SV399: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV399 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV402 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV342 @ SV399 )
!= ( sdtasdt0 @ SV342 @ SV402 ) )
| ( SV399 = SV402 ) )
= $true )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4593]) ).
thf(4632,plain,
! [SV342: $i,SV403: $i,SV400: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV400 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV403 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV400 @ SV342 )
!= ( sdtasdt0 @ SV403 @ SV342 ) )
| ( SV400 = SV403 ) )
= $true )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4594]) ).
thf(4633,plain,
! [SV343: $i] :
( ( ( aNaturalNumber0 @ ( sK1_W1 @ SV343 ) )
= $true )
| ( ( SV343 = sz10 )
= $true )
| ( ( SV343 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV343 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4595]) ).
thf(4634,plain,
! [SV343: $i] :
( ( ( doDivides0 @ ( sK1_W1 @ SV343 ) @ SV343 )
= $true )
| ( ( SV343 = sz10 )
= $true )
| ( ( SV343 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV343 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4596]) ).
thf(4635,plain,
! [SV396: $i,SV344: $i,SV389: $i] :
( ( ( aNaturalNumber0 @ SV389 )
= $false )
| ( ( aNaturalNumber0 @ SV344 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV396 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV344 @ SV389 )
!= ( sdtpldt0 @ SV344 @ SV396 ) )
| ( SV389 = SV396 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4597]) ).
thf(4636,plain,
! [SV397: $i,SV344: $i,SV390: $i] :
( ( ( aNaturalNumber0 @ SV390 )
= $false )
| ( ( aNaturalNumber0 @ SV344 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV397 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV390 @ SV344 )
!= ( sdtpldt0 @ SV397 @ SV344 ) )
| ( SV390 = SV397 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4598]) ).
thf(4637,plain,
( ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4600]) ).
thf(4638,plain,
( ( ~ ( sdtlseqdt0 @ xn @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4600]) ).
thf(4639,plain,
! [SV380: $i,SV391: $i] :
( ( ( SV391 = SV380 )
= $false )
| ( ( sdtlseqdt0 @ SV380 @ SV391 )
= $true )
| ( ( aNaturalNumber0 @ SV380 )
= $false )
| ( ( aNaturalNumber0 @ SV391 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4601]) ).
thf(4640,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4603]) ).
thf(4641,plain,
( ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4603]) ).
thf(4642,plain,
! [SV364: $i,SV353: $i,SV330: $i] :
( ( ( sdtlseqdt0 @ SV330 @ SV353 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV353 @ SV364 ) )
= $true )
| ( ( sdtlseqdt0 @ SV330 @ SV364 )
= $true )
| ( ( aNaturalNumber0 @ SV353 )
= $false )
| ( ( aNaturalNumber0 @ SV330 )
= $false )
| ( ( aNaturalNumber0 @ SV364 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4604]) ).
thf(4643,plain,
! [SV366: $i,SV356: $i,SV333: $i] :
( ( ( doDivides0 @ SV333 @ SV356 )
= $false )
| ( ( ~ ( doDivides0 @ SV356 @ SV366 ) )
= $true )
| ( ( doDivides0 @ SV333 @ SV366 )
= $true )
| ( ( aNaturalNumber0 @ SV356 )
= $false )
| ( ( aNaturalNumber0 @ SV333 )
= $false )
| ( ( aNaturalNumber0 @ SV366 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4605]) ).
thf(4644,plain,
! [SV367: $i,SV357: $i,SV334: $i] :
( ( ( doDivides0 @ SV334 @ SV357 )
= $false )
| ( ( ~ ( doDivides0 @ SV334 @ SV367 ) )
= $true )
| ( ( doDivides0 @ SV334 @ ( sdtpldt0 @ SV357 @ SV367 ) )
= $true )
| ( ( aNaturalNumber0 @ SV357 )
= $false )
| ( ( aNaturalNumber0 @ SV334 )
= $false )
| ( ( aNaturalNumber0 @ SV367 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4606]) ).
thf(4645,plain,
! [SV368: $i,SV358: $i,SV335: $i] :
( ( ( doDivides0 @ SV335 @ SV358 )
= $false )
| ( ( ~ ( doDivides0 @ SV335 @ ( sdtpldt0 @ SV358 @ SV368 ) ) )
= $true )
| ( ( doDivides0 @ SV335 @ SV368 )
= $true )
| ( ( aNaturalNumber0 @ SV358 )
= $false )
| ( ( aNaturalNumber0 @ SV335 )
= $false )
| ( ( aNaturalNumber0 @ SV368 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4607]) ).
thf(4646,plain,
! [SV337: $i,SV360: $i,SV404: $i] :
( ( ( aNaturalNumber0 @ SV404 )
= $false )
| ( ( ( sdtasdt0 @ SV404 @ ( sdtsldt0 @ SV360 @ SV337 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SV404 @ SV360 ) @ SV337 ) )
= $true )
| ( ( SV337 = sz00 )
= $true )
| ( ( doDivides0 @ SV337 @ SV360 )
= $false )
| ( ( aNaturalNumber0 @ SV337 )
= $false )
| ( ( aNaturalNumber0 @ SV360 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4608]) ).
thf(4647,plain,
! [SV338: $i] :
( ( ~ ! [SY416: $i,SY417: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY416 )
| ~ ( aNaturalNumber0 @ SY417 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY417
!= ( sdtasdt0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ SY417 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= SY417 ) ) ) )
| ( SY417 = sz00 )
| ( SY417 = sz10 )
| ! [SY418: $i] :
( ( ( sdtasdt0 @ SV338 @ SY416 )
!= ( sdtasdt0 @ SY417 @ SY418 ) )
| ~ ( aNaturalNumber0 @ SY418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY416 ) @ SY417 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY417 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( ( SY416
!= ( sdtasdt0 @ SY417 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4611]) ).
thf(4648,plain,
! [SV338: $i] :
( ( ~ ! [SY419: $i,SY420: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY419 )
| ~ ( aNaturalNumber0 @ SY420 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY420
!= ( sdtasdt0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ SY420 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= SY420 ) ) ) )
| ( SY420 = sz00 )
| ( SY420 = sz10 )
| ! [SY421: $i] :
( ( ( sdtasdt0 @ SV338 @ SY419 )
!= ( sdtasdt0 @ SY420 @ SY421 ) )
| ~ ( aNaturalNumber0 @ SY421 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY419 ) @ SY420 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY420 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ( doDivides0 @ SY420 @ SY419 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4611]) ).
thf(4649,plain,
! [SV338: $i] :
( ( ~ ! [SY422: $i,SY423: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY422 )
| ~ ( aNaturalNumber0 @ SY423 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY423
!= ( sdtasdt0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ SY423 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= SY423 ) ) ) )
| ( SY423 = sz00 )
| ( SY423 = sz10 )
| ! [SY424: $i] :
( ( ( sdtasdt0 @ SV338 @ SY422 )
!= ( sdtasdt0 @ SY423 @ SY424 ) )
| ~ ( aNaturalNumber0 @ SY424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY422 ) @ SY423 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY423 @ SV338 )
| ~ ( ( SY422
!= ( sdtasdt0 @ SY423 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4612]) ).
thf(4650,plain,
! [SV338: $i] :
( ( ~ ! [SY425: $i,SY426: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY425 )
| ~ ( aNaturalNumber0 @ SY426 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY426
!= ( sdtasdt0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ SY426 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= SY426 ) ) ) )
| ( SY426 = sz00 )
| ( SY426 = sz10 )
| ! [SY427: $i] :
( ( ( sdtasdt0 @ SV338 @ SY425 )
!= ( sdtasdt0 @ SY426 @ SY427 ) )
| ~ ( aNaturalNumber0 @ SY427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY425 ) @ SY426 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY426 @ SV338 )
| ( doDivides0 @ SY426 @ SY425 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4612]) ).
thf(4651,plain,
! [SV338: $i] :
( ( ~ ! [SY428: $i,SY429: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY428 )
| ~ ( aNaturalNumber0 @ SY429 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY429
!= ( sdtasdt0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ SY429 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= SY429 ) ) ) )
| ( SY429 = sz00 )
| ( SY429 = sz10 )
| ~ ( doDivides0 @ SY429 @ ( sdtasdt0 @ SV338 @ SY428 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY428 ) @ SY429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY429 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( ( SY428
!= ( sdtasdt0 @ SY429 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4613]) ).
thf(4652,plain,
! [SV338: $i] :
( ( ~ ! [SY430: $i,SY431: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY430 )
| ~ ( aNaturalNumber0 @ SY431 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY431
!= ( sdtasdt0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ SY431 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= SY431 ) ) ) )
| ( SY431 = sz00 )
| ( SY431 = sz10 )
| ~ ( doDivides0 @ SY431 @ ( sdtasdt0 @ SV338 @ SY430 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY430 ) @ SY431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY431 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ( doDivides0 @ SY431 @ SY430 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4613]) ).
thf(4653,plain,
! [SV338: $i] :
( ( ~ ! [SY432: $i,SY433: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY432 )
| ~ ( aNaturalNumber0 @ SY433 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY433
!= ( sdtasdt0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ SY433 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= SY433 ) ) ) )
| ( SY433 = sz00 )
| ( SY433 = sz10 )
| ~ ( doDivides0 @ SY433 @ ( sdtasdt0 @ SV338 @ SY432 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY432 ) @ SY433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY433 @ SV338 )
| ~ ( ( SY432
!= ( sdtasdt0 @ SY433 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4614]) ).
thf(4654,plain,
! [SV338: $i] :
( ( ~ ! [SY434: $i,SY435: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY434 )
| ~ ( aNaturalNumber0 @ SY435 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY435
!= ( sdtasdt0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ SY435 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= SY435 ) ) ) )
| ( SY435 = sz00 )
| ( SY435 = sz10 )
| ~ ( doDivides0 @ SY435 @ ( sdtasdt0 @ SV338 @ SY434 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY434 ) @ SY435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY435 @ SV338 )
| ( doDivides0 @ SY435 @ SY434 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4614]) ).
thf(4655,plain,
! [SV338: $i] :
( ( ~ ! [SY436: $i,SY437: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY436 )
| ~ ( aNaturalNumber0 @ SY437 )
| ~ ( isPrime0 @ SY437 )
| ! [SY438: $i] :
( ( ( sdtasdt0 @ SV338 @ SY436 )
!= ( sdtasdt0 @ SY437 @ SY438 ) )
| ~ ( aNaturalNumber0 @ SY438 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY436 ) @ SY437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY437 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( ( SY436
!= ( sdtasdt0 @ SY437 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4615]) ).
thf(4656,plain,
! [SV338: $i] :
( ( ~ ! [SY439: $i,SY440: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY439 )
| ~ ( aNaturalNumber0 @ SY440 )
| ~ ( isPrime0 @ SY440 )
| ! [SY441: $i] :
( ( ( sdtasdt0 @ SV338 @ SY439 )
!= ( sdtasdt0 @ SY440 @ SY441 ) )
| ~ ( aNaturalNumber0 @ SY441 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY439 ) @ SY440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY440 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ( doDivides0 @ SY440 @ SY439 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4615]) ).
thf(4657,plain,
! [SV338: $i] :
( ( ~ ! [SY442: $i,SY443: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY442 )
| ~ ( aNaturalNumber0 @ SY443 )
| ~ ( isPrime0 @ SY443 )
| ! [SY444: $i] :
( ( ( sdtasdt0 @ SV338 @ SY442 )
!= ( sdtasdt0 @ SY443 @ SY444 ) )
| ~ ( aNaturalNumber0 @ SY444 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY442 ) @ SY443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY443 @ SV338 )
| ~ ( ( SY442
!= ( sdtasdt0 @ SY443 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4616]) ).
thf(4658,plain,
! [SV338: $i] :
( ( ~ ! [SY445: $i,SY446: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY445 )
| ~ ( aNaturalNumber0 @ SY446 )
| ~ ( isPrime0 @ SY446 )
| ! [SY447: $i] :
( ( ( sdtasdt0 @ SV338 @ SY445 )
!= ( sdtasdt0 @ SY446 @ SY447 ) )
| ~ ( aNaturalNumber0 @ SY447 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY445 ) @ SY446 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY446 @ SV338 )
| ( doDivides0 @ SY446 @ SY445 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4616]) ).
thf(4659,plain,
! [SV338: $i] :
( ( ~ ! [SY448: $i,SY449: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY448 )
| ~ ( aNaturalNumber0 @ SY449 )
| ~ ( isPrime0 @ SY449 )
| ~ ( doDivides0 @ SY449 @ ( sdtasdt0 @ SV338 @ SY448 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY448 ) @ SY449 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY449 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( ( SY448
!= ( sdtasdt0 @ SY449 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4617]) ).
thf(4660,plain,
! [SV338: $i] :
( ( ~ ! [SY450: $i,SY451: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY450 )
| ~ ( aNaturalNumber0 @ SY451 )
| ~ ( isPrime0 @ SY451 )
| ~ ( doDivides0 @ SY451 @ ( sdtasdt0 @ SV338 @ SY450 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY450 ) @ SY451 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY451 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ( doDivides0 @ SY451 @ SY450 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4617]) ).
thf(4661,plain,
! [SV338: $i] :
( ( ~ ! [SY452: $i,SY453: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY452 )
| ~ ( aNaturalNumber0 @ SY453 )
| ~ ( isPrime0 @ SY453 )
| ~ ( doDivides0 @ SY453 @ ( sdtasdt0 @ SV338 @ SY452 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY452 ) @ SY453 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY453 @ SV338 )
| ~ ( ( SY452
!= ( sdtasdt0 @ SY453 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4618]) ).
thf(4662,plain,
! [SV338: $i] :
( ( ~ ! [SY454: $i,SY455: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY454 )
| ~ ( aNaturalNumber0 @ SY455 )
| ~ ( isPrime0 @ SY455 )
| ~ ( doDivides0 @ SY455 @ ( sdtasdt0 @ SV338 @ SY454 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY454 ) @ SY455 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY455 @ SV338 )
| ( doDivides0 @ SY455 @ SY454 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4618]) ).
thf(4663,plain,
! [SV405: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV405 ) )
= $true )
| ( ( ! [SY504: $i] :
( ( xr
!= ( sdtasdt0 @ SV405 @ SY504 ) )
| ~ ( aNaturalNumber0 @ SY504 ) ) )
= $true )
| ( ( ( SV405 = sz10 )
| ( SV405 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4619]) ).
thf(4664,plain,
! [SV406: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV406 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV406 @ xr ) )
= $true )
| ( ( ( SV406 = sz10 )
| ( SV406 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4620]) ).
thf(4665,plain,
( ( ( xr != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4621]) ).
thf(4666,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4622]) ).
thf(4667,plain,
! [SV361: $i,SV339: $i] :
( ( ( ~ ( ~ ! [SY488: $i] :
( ~ ( aNaturalNumber0 @ SY488 )
| ( ( sdtpldt0 @ SV339 @ SY488 )
!= ( sdtpldt0 @ SV361 @ SY488 ) ) )
| ~ ~ ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) )
| ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) ) ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4623]) ).
thf(4668,plain,
! [SV361: $i,SV339: $i] :
( ( ( ! [SY491: $i] :
( ~ ( aNaturalNumber0 @ SY491 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV339 @ SY491 ) @ ( sdtpldt0 @ SV361 @ SY491 ) ) ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4624]) ).
thf(4669,plain,
! [SV401: $i,SV398: $i,SV340: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV340 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV398 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV401 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV398 = SV401 )
| ~ ( sdtlseqdt0 @ SV398 @ SV401 )
| ( ( sdtasdt0 @ SV398 @ SV340 )
!= ( sdtasdt0 @ SV401 @ SV340 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4625]) ).
thf(4670,plain,
! [SV409: $i,SV407: $i,SV340: $i] :
( ( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV407 )
| ~ ( aNaturalNumber0 @ SV409 )
| ( SV340 = sz00 )
| ( SV407 = SV409 )
| ~ ( sdtlseqdt0 @ SV407 @ SV409 )
| ( ( sdtasdt0 @ SV340 @ SV407 )
!= ( sdtasdt0 @ SV340 @ SV409 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4626]) ).
thf(4671,plain,
! [SV410: $i,SV408: $i,SV340: $i] :
( ( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV408 )
| ~ ( aNaturalNumber0 @ SV410 )
| ( SV340 = sz00 )
| ( SV408 = SV410 )
| ~ ( sdtlseqdt0 @ SV408 @ SV410 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SV408 ) @ ( sdtasdt0 @ SV340 @ SV410 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4627]) ).
thf(4672,plain,
! [SV386: $i,SV340: $i,SV393: $i] :
( ( ( aNaturalNumber0 @ SV393 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV386 )
= $false )
| ( ( ( SV340 = sz00 )
| ( SV386 = SV393 )
| ~ ( sdtlseqdt0 @ SV386 @ SV393 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV386 @ SV340 ) @ ( sdtasdt0 @ SV393 @ SV340 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4628]) ).
thf(4673,plain,
! [SV387: $i,SV341: $i,SV394: $i] :
( ( ( aNaturalNumber0 @ SV394 )
= $false )
| ( ( aNaturalNumber0 @ SV341 )
= $false )
| ( ( aNaturalNumber0 @ SV387 )
= $false )
| ( ( ( sdtasdt0 @ SV341 @ ( sdtpldt0 @ SV387 @ SV394 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV341 @ SV387 ) @ ( sdtasdt0 @ SV341 @ SV394 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4629]) ).
thf(4674,plain,
! [SV388: $i,SV341: $i,SV395: $i] :
( ( ( aNaturalNumber0 @ SV395 )
= $false )
| ( ( aNaturalNumber0 @ SV341 )
= $false )
| ( ( aNaturalNumber0 @ SV388 )
= $false )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV388 @ SV395 ) @ SV341 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV388 @ SV341 ) @ ( sdtasdt0 @ SV395 @ SV341 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4630]) ).
thf(4675,plain,
! [SV342: $i,SV402: $i,SV399: $i] :
( ( ( aNaturalNumber0 @ SV399 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV402 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV342 @ SV399 )
!= ( sdtasdt0 @ SV342 @ SV402 ) )
| ( SV399 = SV402 ) )
= $true )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4631]) ).
thf(4676,plain,
! [SV342: $i,SV403: $i,SV400: $i] :
( ( ( aNaturalNumber0 @ SV400 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV403 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV400 @ SV342 )
!= ( sdtasdt0 @ SV403 @ SV342 ) )
| ( SV400 = SV403 ) )
= $true )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4632]) ).
thf(4677,plain,
! [SV389: $i,SV344: $i,SV396: $i] :
( ( ( aNaturalNumber0 @ SV396 )
= $false )
| ( ( aNaturalNumber0 @ SV344 )
= $false )
| ( ( aNaturalNumber0 @ SV389 )
= $false )
| ( ( ( ( sdtpldt0 @ SV344 @ SV389 )
!= ( sdtpldt0 @ SV344 @ SV396 ) )
| ( SV389 = SV396 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4635]) ).
thf(4678,plain,
! [SV390: $i,SV344: $i,SV397: $i] :
( ( ( aNaturalNumber0 @ SV397 )
= $false )
| ( ( aNaturalNumber0 @ SV344 )
= $false )
| ( ( aNaturalNumber0 @ SV390 )
= $false )
| ( ( ( ( sdtpldt0 @ SV390 @ SV344 )
!= ( sdtpldt0 @ SV397 @ SV344 ) )
| ( SV390 = SV397 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4636]) ).
thf(4679,plain,
( ( ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4637]) ).
thf(4680,plain,
( ( sdtlseqdt0 @ xn @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4638]) ).
thf(4681,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4640]) ).
thf(4682,plain,
( ( ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4641]) ).
thf(4683,plain,
! [SV330: $i,SV364: $i,SV353: $i] :
( ( ( sdtlseqdt0 @ SV353 @ SV364 )
= $false )
| ( ( sdtlseqdt0 @ SV330 @ SV353 )
= $false )
| ( ( sdtlseqdt0 @ SV330 @ SV364 )
= $true )
| ( ( aNaturalNumber0 @ SV353 )
= $false )
| ( ( aNaturalNumber0 @ SV330 )
= $false )
| ( ( aNaturalNumber0 @ SV364 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4642]) ).
thf(4684,plain,
! [SV333: $i,SV366: $i,SV356: $i] :
( ( ( doDivides0 @ SV356 @ SV366 )
= $false )
| ( ( doDivides0 @ SV333 @ SV356 )
= $false )
| ( ( doDivides0 @ SV333 @ SV366 )
= $true )
| ( ( aNaturalNumber0 @ SV356 )
= $false )
| ( ( aNaturalNumber0 @ SV333 )
= $false )
| ( ( aNaturalNumber0 @ SV366 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4643]) ).
thf(4685,plain,
! [SV357: $i,SV367: $i,SV334: $i] :
( ( ( doDivides0 @ SV334 @ SV367 )
= $false )
| ( ( doDivides0 @ SV334 @ SV357 )
= $false )
| ( ( doDivides0 @ SV334 @ ( sdtpldt0 @ SV357 @ SV367 ) )
= $true )
| ( ( aNaturalNumber0 @ SV357 )
= $false )
| ( ( aNaturalNumber0 @ SV334 )
= $false )
| ( ( aNaturalNumber0 @ SV367 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4644]) ).
thf(4686,plain,
! [SV368: $i,SV358: $i,SV335: $i] :
( ( ( doDivides0 @ SV335 @ ( sdtpldt0 @ SV358 @ SV368 ) )
= $false )
| ( ( doDivides0 @ SV335 @ SV358 )
= $false )
| ( ( doDivides0 @ SV335 @ SV368 )
= $true )
| ( ( aNaturalNumber0 @ SV358 )
= $false )
| ( ( aNaturalNumber0 @ SV335 )
= $false )
| ( ( aNaturalNumber0 @ SV368 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4645]) ).
thf(4687,plain,
! [SV338: $i] :
( ( ! [SY416: $i,SY417: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY416 )
| ~ ( aNaturalNumber0 @ SY417 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY417
!= ( sdtasdt0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY417 @ SY416 @ SV338 ) @ SY417 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY417 @ SY416 @ SV338 )
!= SY417 ) ) ) )
| ( SY417 = sz00 )
| ( SY417 = sz10 )
| ! [SY418: $i] :
( ( ( sdtasdt0 @ SV338 @ SY416 )
!= ( sdtasdt0 @ SY417 @ SY418 ) )
| ~ ( aNaturalNumber0 @ SY418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY416 ) @ SY417 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY417 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( ( SY416
!= ( sdtasdt0 @ SY417 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY417 @ SY416 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4647]) ).
thf(4688,plain,
! [SV338: $i] :
( ( ! [SY419: $i,SY420: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY419 )
| ~ ( aNaturalNumber0 @ SY420 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY420
!= ( sdtasdt0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY420 @ SY419 @ SV338 ) @ SY420 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY420 @ SY419 @ SV338 )
!= SY420 ) ) ) )
| ( SY420 = sz00 )
| ( SY420 = sz10 )
| ! [SY421: $i] :
( ( ( sdtasdt0 @ SV338 @ SY419 )
!= ( sdtasdt0 @ SY420 @ SY421 ) )
| ~ ( aNaturalNumber0 @ SY421 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY419 ) @ SY420 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY420 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY420 @ SY419 @ SV338 ) ) )
| ( doDivides0 @ SY420 @ SY419 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4648]) ).
thf(4689,plain,
! [SV338: $i] :
( ( ! [SY422: $i,SY423: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY422 )
| ~ ( aNaturalNumber0 @ SY423 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY423
!= ( sdtasdt0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY423 @ SY422 @ SV338 ) @ SY423 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY423 @ SY422 @ SV338 )
!= SY423 ) ) ) )
| ( SY423 = sz00 )
| ( SY423 = sz10 )
| ! [SY424: $i] :
( ( ( sdtasdt0 @ SV338 @ SY422 )
!= ( sdtasdt0 @ SY423 @ SY424 ) )
| ~ ( aNaturalNumber0 @ SY424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY422 ) @ SY423 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY423 @ SV338 )
| ~ ( ( SY422
!= ( sdtasdt0 @ SY423 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY423 @ SY422 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4649]) ).
thf(4690,plain,
! [SV338: $i] :
( ( ! [SY425: $i,SY426: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY425 )
| ~ ( aNaturalNumber0 @ SY426 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY426
!= ( sdtasdt0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY426 @ SY425 @ SV338 ) @ SY426 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY426 @ SY425 @ SV338 )
!= SY426 ) ) ) )
| ( SY426 = sz00 )
| ( SY426 = sz10 )
| ! [SY427: $i] :
( ( ( sdtasdt0 @ SV338 @ SY425 )
!= ( sdtasdt0 @ SY426 @ SY427 ) )
| ~ ( aNaturalNumber0 @ SY427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY425 ) @ SY426 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY426 @ SV338 )
| ( doDivides0 @ SY426 @ SY425 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4650]) ).
thf(4691,plain,
! [SV338: $i] :
( ( ! [SY428: $i,SY429: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY428 )
| ~ ( aNaturalNumber0 @ SY429 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY429
!= ( sdtasdt0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY429 @ SY428 @ SV338 ) @ SY429 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY429 @ SY428 @ SV338 )
!= SY429 ) ) ) )
| ( SY429 = sz00 )
| ( SY429 = sz10 )
| ~ ( doDivides0 @ SY429 @ ( sdtasdt0 @ SV338 @ SY428 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY428 ) @ SY429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY429 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( ( SY428
!= ( sdtasdt0 @ SY429 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY429 @ SY428 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4651]) ).
thf(4692,plain,
! [SV338: $i] :
( ( ! [SY430: $i,SY431: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY430 )
| ~ ( aNaturalNumber0 @ SY431 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY431
!= ( sdtasdt0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY431 @ SY430 @ SV338 ) @ SY431 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY431 @ SY430 @ SV338 )
!= SY431 ) ) ) )
| ( SY431 = sz00 )
| ( SY431 = sz10 )
| ~ ( doDivides0 @ SY431 @ ( sdtasdt0 @ SV338 @ SY430 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY430 ) @ SY431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY431 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY431 @ SY430 @ SV338 ) ) )
| ( doDivides0 @ SY431 @ SY430 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4652]) ).
thf(4693,plain,
! [SV338: $i] :
( ( ! [SY432: $i,SY433: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY432 )
| ~ ( aNaturalNumber0 @ SY433 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY433
!= ( sdtasdt0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY433 @ SY432 @ SV338 ) @ SY433 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY433 @ SY432 @ SV338 )
!= SY433 ) ) ) )
| ( SY433 = sz00 )
| ( SY433 = sz10 )
| ~ ( doDivides0 @ SY433 @ ( sdtasdt0 @ SV338 @ SY432 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY432 ) @ SY433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY433 @ SV338 )
| ~ ( ( SY432
!= ( sdtasdt0 @ SY433 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY433 @ SY432 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4653]) ).
thf(4694,plain,
! [SV338: $i] :
( ( ! [SY434: $i,SY435: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY434 )
| ~ ( aNaturalNumber0 @ SY435 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY435
!= ( sdtasdt0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY435 @ SY434 @ SV338 ) @ SY435 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY435 @ SY434 @ SV338 )
!= SY435 ) ) ) )
| ( SY435 = sz00 )
| ( SY435 = sz10 )
| ~ ( doDivides0 @ SY435 @ ( sdtasdt0 @ SV338 @ SY434 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY434 ) @ SY435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY435 @ SV338 )
| ( doDivides0 @ SY435 @ SY434 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4654]) ).
thf(4695,plain,
! [SV338: $i] :
( ( ! [SY436: $i,SY437: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY436 )
| ~ ( aNaturalNumber0 @ SY437 )
| ~ ( isPrime0 @ SY437 )
| ! [SY438: $i] :
( ( ( sdtasdt0 @ SV338 @ SY436 )
!= ( sdtasdt0 @ SY437 @ SY438 ) )
| ~ ( aNaturalNumber0 @ SY438 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY436 ) @ SY437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY437 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( ( SY436
!= ( sdtasdt0 @ SY437 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY437 @ SY436 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4655]) ).
thf(4696,plain,
! [SV338: $i] :
( ( ! [SY439: $i,SY440: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY439 )
| ~ ( aNaturalNumber0 @ SY440 )
| ~ ( isPrime0 @ SY440 )
| ! [SY441: $i] :
( ( ( sdtasdt0 @ SV338 @ SY439 )
!= ( sdtasdt0 @ SY440 @ SY441 ) )
| ~ ( aNaturalNumber0 @ SY441 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY439 ) @ SY440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY440 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY440 @ SY439 @ SV338 ) ) )
| ( doDivides0 @ SY440 @ SY439 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4656]) ).
thf(4697,plain,
! [SV338: $i] :
( ( ! [SY442: $i,SY443: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY442 )
| ~ ( aNaturalNumber0 @ SY443 )
| ~ ( isPrime0 @ SY443 )
| ! [SY444: $i] :
( ( ( sdtasdt0 @ SV338 @ SY442 )
!= ( sdtasdt0 @ SY443 @ SY444 ) )
| ~ ( aNaturalNumber0 @ SY444 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY442 ) @ SY443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY443 @ SV338 )
| ~ ( ( SY442
!= ( sdtasdt0 @ SY443 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY443 @ SY442 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4657]) ).
thf(4698,plain,
! [SV338: $i] :
( ( ! [SY445: $i,SY446: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY445 )
| ~ ( aNaturalNumber0 @ SY446 )
| ~ ( isPrime0 @ SY446 )
| ! [SY447: $i] :
( ( ( sdtasdt0 @ SV338 @ SY445 )
!= ( sdtasdt0 @ SY446 @ SY447 ) )
| ~ ( aNaturalNumber0 @ SY447 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY445 ) @ SY446 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY446 @ SV338 )
| ( doDivides0 @ SY446 @ SY445 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4658]) ).
thf(4699,plain,
! [SV338: $i] :
( ( ! [SY448: $i,SY449: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY448 )
| ~ ( aNaturalNumber0 @ SY449 )
| ~ ( isPrime0 @ SY449 )
| ~ ( doDivides0 @ SY449 @ ( sdtasdt0 @ SV338 @ SY448 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY448 ) @ SY449 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY449 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( ( SY448
!= ( sdtasdt0 @ SY449 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY449 @ SY448 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4659]) ).
thf(4700,plain,
! [SV338: $i] :
( ( ! [SY450: $i,SY451: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY450 )
| ~ ( aNaturalNumber0 @ SY451 )
| ~ ( isPrime0 @ SY451 )
| ~ ( doDivides0 @ SY451 @ ( sdtasdt0 @ SV338 @ SY450 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY450 ) @ SY451 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY451 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY451 @ SY450 @ SV338 ) ) )
| ( doDivides0 @ SY451 @ SY450 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4660]) ).
thf(4701,plain,
! [SV338: $i] :
( ( ! [SY452: $i,SY453: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY452 )
| ~ ( aNaturalNumber0 @ SY453 )
| ~ ( isPrime0 @ SY453 )
| ~ ( doDivides0 @ SY453 @ ( sdtasdt0 @ SV338 @ SY452 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY452 ) @ SY453 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY453 @ SV338 )
| ~ ( ( SY452
!= ( sdtasdt0 @ SY453 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY453 @ SY452 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4661]) ).
thf(4702,plain,
! [SV338: $i] :
( ( ! [SY454: $i,SY455: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SY454 )
| ~ ( aNaturalNumber0 @ SY455 )
| ~ ( isPrime0 @ SY455 )
| ~ ( doDivides0 @ SY455 @ ( sdtasdt0 @ SV338 @ SY454 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SY454 ) @ SY455 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY455 @ SV338 )
| ( doDivides0 @ SY455 @ SY454 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4662]) ).
thf(4703,plain,
! [SV405: $i] :
( ( ( aNaturalNumber0 @ SV405 )
= $false )
| ( ( ! [SY504: $i] :
( ( xr
!= ( sdtasdt0 @ SV405 @ SY504 ) )
| ~ ( aNaturalNumber0 @ SY504 ) ) )
= $true )
| ( ( ( SV405 = sz10 )
| ( SV405 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4663]) ).
thf(4704,plain,
! [SV406: $i] :
( ( ( aNaturalNumber0 @ SV406 )
= $false )
| ( ( ~ ( doDivides0 @ SV406 @ xr ) )
= $true )
| ( ( ( SV406 = sz10 )
| ( SV406 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4664]) ).
thf(4705,plain,
( ( xr = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4665]) ).
thf(4706,plain,
( ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4666]) ).
thf(4707,plain,
! [SV361: $i,SV339: $i] :
( ( ( ~ ! [SY488: $i] :
( ~ ( aNaturalNumber0 @ SY488 )
| ( ( sdtpldt0 @ SV339 @ SY488 )
!= ( sdtpldt0 @ SV361 @ SY488 ) ) )
| ~ ~ ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) )
| ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) ) )
= $false )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4667]) ).
thf(4708,plain,
! [SV361: $i,SV339: $i,SV411: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV411 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV339 @ SV411 ) @ ( sdtpldt0 @ SV361 @ SV411 ) ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4668]) ).
thf(4709,plain,
! [SV401: $i,SV398: $i,SV340: $i] :
( ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV398 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV401 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV398 = SV401 )
| ~ ( sdtlseqdt0 @ SV398 @ SV401 )
| ( ( sdtasdt0 @ SV398 @ SV340 )
!= ( sdtasdt0 @ SV401 @ SV340 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4669]) ).
thf(4710,plain,
! [SV409: $i,SV407: $i,SV340: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV407 )
| ~ ( aNaturalNumber0 @ SV409 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV407 = SV409 )
| ~ ( sdtlseqdt0 @ SV407 @ SV409 )
| ( ( sdtasdt0 @ SV340 @ SV407 )
!= ( sdtasdt0 @ SV340 @ SV409 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4670]) ).
thf(4711,plain,
! [SV410: $i,SV408: $i,SV340: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV408 )
| ~ ( aNaturalNumber0 @ SV410 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV408 = SV410 )
| ~ ( sdtlseqdt0 @ SV408 @ SV410 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SV408 ) @ ( sdtasdt0 @ SV340 @ SV410 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4671]) ).
thf(4712,plain,
! [SV393: $i,SV386: $i,SV340: $i] :
( ( ( ( SV340 = sz00 )
| ( SV386 = SV393 )
| ~ ( sdtlseqdt0 @ SV386 @ SV393 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV386 @ SV340 ) @ ( sdtasdt0 @ SV393 @ SV340 ) )
= $true )
| ( ( aNaturalNumber0 @ SV386 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV393 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4672]) ).
thf(4713,plain,
! [SV342: $i,SV399: $i,SV402: $i] :
( ( ( aNaturalNumber0 @ SV402 )
= $false )
| ( ( aNaturalNumber0 @ SV399 )
= $false )
| ( ( ( ( sdtasdt0 @ SV342 @ SV399 )
!= ( sdtasdt0 @ SV342 @ SV402 ) )
| ( SV399 = SV402 ) )
= $true )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4675]) ).
thf(4714,plain,
! [SV342: $i,SV400: $i,SV403: $i] :
( ( ( aNaturalNumber0 @ SV403 )
= $false )
| ( ( aNaturalNumber0 @ SV400 )
= $false )
| ( ( ( ( sdtasdt0 @ SV400 @ SV342 )
!= ( sdtasdt0 @ SV403 @ SV342 ) )
| ( SV400 = SV403 ) )
= $true )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4676]) ).
thf(4715,plain,
! [SV396: $i,SV389: $i,SV344: $i] :
( ( ( ( ( sdtpldt0 @ SV344 @ SV389 )
!= ( sdtpldt0 @ SV344 @ SV396 ) ) )
= $true )
| ( ( SV389 = SV396 )
= $true )
| ( ( aNaturalNumber0 @ SV389 )
= $false )
| ( ( aNaturalNumber0 @ SV344 )
= $false )
| ( ( aNaturalNumber0 @ SV396 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4677]) ).
thf(4716,plain,
! [SV397: $i,SV344: $i,SV390: $i] :
( ( ( ( ( sdtpldt0 @ SV390 @ SV344 )
!= ( sdtpldt0 @ SV397 @ SV344 ) ) )
= $true )
| ( ( SV390 = SV397 )
= $true )
| ( ( aNaturalNumber0 @ SV390 )
= $false )
| ( ( aNaturalNumber0 @ SV344 )
= $false )
| ( ( aNaturalNumber0 @ SV397 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4678]) ).
thf(4717,plain,
( ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4679]) ).
thf(4718,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4681]) ).
thf(4719,plain,
( ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4682]) ).
thf(4720,plain,
! [SV412: $i,SV338: $i] :
( ( ! [SY507: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV412 )
| ~ ( aNaturalNumber0 @ SY507 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY507
!= ( sdtasdt0 @ ( sK39_W3 @ SY507 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SY507 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY507 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY507 @ SV412 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY507 @ SV412 @ SV338 ) @ SY507 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY507 @ SV412 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY507 @ SV412 @ SV338 )
!= SY507 ) ) ) )
| ( SY507 = sz00 )
| ( SY507 = sz10 )
| ! [SY508: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SY507 @ SY508 ) )
| ~ ( aNaturalNumber0 @ SY508 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SY507 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY507 @ ( sK38_W3 @ SY507 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY507 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SY507 @ ( sK37_W3 @ SY507 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY507 @ SV412 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4687]) ).
thf(4721,plain,
! [SV413: $i,SV338: $i] :
( ( ! [SY509: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV413 )
| ~ ( aNaturalNumber0 @ SY509 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY509
!= ( sdtasdt0 @ ( sK35_W3 @ SY509 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SY509 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY509 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY509 @ SV413 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY509 @ SV413 @ SV338 ) @ SY509 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY509 @ SV413 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY509 @ SV413 @ SV338 )
!= SY509 ) ) ) )
| ( SY509 = sz00 )
| ( SY509 = sz10 )
| ! [SY510: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SY509 @ SY510 ) )
| ~ ( aNaturalNumber0 @ SY510 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SY509 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY509 @ ( sK34_W3 @ SY509 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY509 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SY509 @ SV413 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4688]) ).
thf(4722,plain,
! [SV414: $i,SV338: $i] :
( ( ! [SY511: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV414 )
| ~ ( aNaturalNumber0 @ SY511 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY511
!= ( sdtasdt0 @ ( sK32_W3 @ SY511 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SY511 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY511 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY511 @ SV414 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY511 @ SV414 @ SV338 ) @ SY511 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY511 @ SV414 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY511 @ SV414 @ SV338 )
!= SY511 ) ) ) )
| ( SY511 = sz00 )
| ( SY511 = sz10 )
| ! [SY512: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SY511 @ SY512 ) )
| ~ ( aNaturalNumber0 @ SY512 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SY511 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY511 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SY511 @ ( sK31_W3 @ SY511 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY511 @ SV414 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4689]) ).
thf(4723,plain,
! [SV415: $i,SV338: $i] :
( ( ! [SY513: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV415 )
| ~ ( aNaturalNumber0 @ SY513 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY513
!= ( sdtasdt0 @ ( sK29_W3 @ SY513 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SY513 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY513 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY513 @ SV415 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY513 @ SV415 @ SV338 ) @ SY513 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY513 @ SV415 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY513 @ SV415 @ SV338 )
!= SY513 ) ) ) )
| ( SY513 = sz00 )
| ( SY513 = sz10 )
| ! [SY514: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SY513 @ SY514 ) )
| ~ ( aNaturalNumber0 @ SY514 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SY513 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY513 @ SV338 )
| ( doDivides0 @ SY513 @ SV415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4690]) ).
thf(4724,plain,
! [SV416: $i,SV338: $i] :
( ( ! [SY515: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV416 )
| ~ ( aNaturalNumber0 @ SY515 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY515
!= ( sdtasdt0 @ ( sK27_W3 @ SY515 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SY515 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY515 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY515 @ SV416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY515 @ SV416 @ SV338 ) @ SY515 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY515 @ SV416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY515 @ SV416 @ SV338 )
!= SY515 ) ) ) )
| ( SY515 = sz00 )
| ( SY515 = sz10 )
| ~ ( doDivides0 @ SY515 @ ( sdtasdt0 @ SV338 @ SV416 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SY515 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY515 @ ( sK26_W3 @ SY515 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY515 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SY515 @ ( sK25_W3 @ SY515 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY515 @ SV416 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4691]) ).
thf(4725,plain,
! [SV417: $i,SV338: $i] :
( ( ! [SY516: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV417 )
| ~ ( aNaturalNumber0 @ SY516 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY516
!= ( sdtasdt0 @ ( sK23_W3 @ SY516 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SY516 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY516 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY516 @ SV417 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY516 @ SV417 @ SV338 ) @ SY516 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY516 @ SV417 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY516 @ SV417 @ SV338 )
!= SY516 ) ) ) )
| ( SY516 = sz00 )
| ( SY516 = sz10 )
| ~ ( doDivides0 @ SY516 @ ( sdtasdt0 @ SV338 @ SV417 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SY516 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY516 @ ( sK22_W3 @ SY516 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY516 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SY516 @ SV417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4692]) ).
thf(4726,plain,
! [SV418: $i,SV338: $i] :
( ( ! [SY517: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV418 )
| ~ ( aNaturalNumber0 @ SY517 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY517
!= ( sdtasdt0 @ ( sK20_W3 @ SY517 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SY517 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY517 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY517 @ SV418 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY517 @ SV418 @ SV338 ) @ SY517 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY517 @ SV418 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY517 @ SV418 @ SV338 )
!= SY517 ) ) ) )
| ( SY517 = sz00 )
| ( SY517 = sz10 )
| ~ ( doDivides0 @ SY517 @ ( sdtasdt0 @ SV338 @ SV418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SY517 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY517 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SY517 @ ( sK19_W3 @ SY517 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY517 @ SV418 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4693]) ).
thf(4727,plain,
! [SV419: $i,SV338: $i] :
( ( ! [SY518: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV419 )
| ~ ( aNaturalNumber0 @ SY518 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY518
!= ( sdtasdt0 @ ( sK17_W3 @ SY518 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SY518 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY518 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY518 @ SV419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY518 @ SV419 @ SV338 ) @ SY518 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY518 @ SV419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY518 @ SV419 @ SV338 )
!= SY518 ) ) ) )
| ( SY518 = sz00 )
| ( SY518 = sz10 )
| ~ ( doDivides0 @ SY518 @ ( sdtasdt0 @ SV338 @ SV419 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SY518 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY518 @ SV338 )
| ( doDivides0 @ SY518 @ SV419 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4694]) ).
thf(4728,plain,
! [SV420: $i,SV338: $i] :
( ( ! [SY519: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV420 )
| ~ ( aNaturalNumber0 @ SY519 )
| ~ ( isPrime0 @ SY519 )
| ! [SY520: $i] :
( ( ( sdtasdt0 @ SV338 @ SV420 )
!= ( sdtasdt0 @ SY519 @ SY520 ) )
| ~ ( aNaturalNumber0 @ SY520 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SY519 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY519 @ ( sK16_W3 @ SY519 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY519 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SY519 @ ( sK15_W3 @ SY519 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY519 @ SV420 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4695]) ).
thf(4729,plain,
! [SV421: $i,SV338: $i] :
( ( ! [SY521: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV421 )
| ~ ( aNaturalNumber0 @ SY521 )
| ~ ( isPrime0 @ SY521 )
| ! [SY522: $i] :
( ( ( sdtasdt0 @ SV338 @ SV421 )
!= ( sdtasdt0 @ SY521 @ SY522 ) )
| ~ ( aNaturalNumber0 @ SY522 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SY521 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY521 @ ( sK14_W3 @ SY521 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY521 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SY521 @ SV421 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4696]) ).
thf(4730,plain,
! [SV422: $i,SV338: $i] :
( ( ! [SY523: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV422 )
| ~ ( aNaturalNumber0 @ SY523 )
| ~ ( isPrime0 @ SY523 )
| ! [SY524: $i] :
( ( ( sdtasdt0 @ SV338 @ SV422 )
!= ( sdtasdt0 @ SY523 @ SY524 ) )
| ~ ( aNaturalNumber0 @ SY524 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SY523 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY523 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SY523 @ ( sK13_W3 @ SY523 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY523 @ SV422 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4697]) ).
thf(4731,plain,
! [SV423: $i,SV338: $i] :
( ( ! [SY525: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV423 )
| ~ ( aNaturalNumber0 @ SY525 )
| ~ ( isPrime0 @ SY525 )
| ! [SY526: $i] :
( ( ( sdtasdt0 @ SV338 @ SV423 )
!= ( sdtasdt0 @ SY525 @ SY526 ) )
| ~ ( aNaturalNumber0 @ SY526 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SY525 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY525 @ SV338 )
| ( doDivides0 @ SY525 @ SV423 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4698]) ).
thf(4732,plain,
! [SV424: $i,SV338: $i] :
( ( ! [SY527: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV424 )
| ~ ( aNaturalNumber0 @ SY527 )
| ~ ( isPrime0 @ SY527 )
| ~ ( doDivides0 @ SY527 @ ( sdtasdt0 @ SV338 @ SV424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SY527 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY527 @ ( sK12_W3 @ SY527 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY527 @ SV424 @ SV338 ) ) )
| ~ ( ( SV424
!= ( sdtasdt0 @ SY527 @ ( sK11_W3 @ SY527 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY527 @ SV424 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4699]) ).
thf(4733,plain,
! [SV425: $i,SV338: $i] :
( ( ! [SY528: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV425 )
| ~ ( aNaturalNumber0 @ SY528 )
| ~ ( isPrime0 @ SY528 )
| ~ ( doDivides0 @ SY528 @ ( sdtasdt0 @ SV338 @ SV425 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SY528 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SY528 @ ( sK10_W3 @ SY528 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY528 @ SV425 @ SV338 ) ) )
| ( doDivides0 @ SY528 @ SV425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4700]) ).
thf(4734,plain,
! [SV426: $i,SV338: $i] :
( ( ! [SY529: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV426 )
| ~ ( aNaturalNumber0 @ SY529 )
| ~ ( isPrime0 @ SY529 )
| ~ ( doDivides0 @ SY529 @ ( sdtasdt0 @ SV338 @ SV426 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SY529 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY529 @ SV338 )
| ~ ( ( SV426
!= ( sdtasdt0 @ SY529 @ ( sK9_W3 @ SY529 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY529 @ SV426 @ SV338 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4701]) ).
thf(4735,plain,
! [SV427: $i,SV338: $i] :
( ( ! [SY530: $i] :
( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV427 )
| ~ ( aNaturalNumber0 @ SY530 )
| ~ ( isPrime0 @ SY530 )
| ~ ( doDivides0 @ SY530 @ ( sdtasdt0 @ SV338 @ SV427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV427 ) @ SY530 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY530 @ SV338 )
| ( doDivides0 @ SY530 @ SV427 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4702]) ).
thf(4736,plain,
! [SV428: $i,SV405: $i] :
( ( ( ( xr
!= ( sdtasdt0 @ SV405 @ SV428 ) )
| ~ ( aNaturalNumber0 @ SV428 ) )
= $true )
| ( ( aNaturalNumber0 @ SV405 )
= $false )
| ( ( ( SV405 = sz10 )
| ( SV405 = xr ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4703]) ).
thf(4737,plain,
! [SV406: $i] :
( ( ( doDivides0 @ SV406 @ xr )
= $false )
| ( ( aNaturalNumber0 @ SV406 )
= $false )
| ( ( ( SV406 = sz10 )
| ( SV406 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4704]) ).
thf(4738,plain,
( ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4706]) ).
thf(4739,plain,
( ( ~ ( doDivides0 @ xr @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4706]) ).
thf(4740,plain,
! [SV361: $i,SV339: $i] :
( ( ( ~ ! [SY488: $i] :
( ~ ( aNaturalNumber0 @ SY488 )
| ( ( sdtpldt0 @ SV339 @ SY488 )
!= ( sdtpldt0 @ SV361 @ SY488 ) ) ) )
= $false )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4707]) ).
thf(4741,plain,
! [SV361: $i,SV339: $i] :
( ( ( ~ ~ ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) )
| ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) ) )
= $false )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4707]) ).
thf(4742,plain,
! [SV361: $i,SV339: $i,SV411: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV411 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV339 @ SV411 ) @ ( sdtpldt0 @ SV361 @ SV411 ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4708]) ).
thf(4743,plain,
! [SV401: $i,SV340: $i,SV398: $i] :
( ( ( aNaturalNumber0 @ SV398 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV401 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV398 = SV401 )
| ~ ( sdtlseqdt0 @ SV398 @ SV401 )
| ( ( sdtasdt0 @ SV398 @ SV340 )
!= ( sdtasdt0 @ SV401 @ SV340 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4709]) ).
thf(4744,plain,
! [SV409: $i,SV407: $i,SV340: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV407 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV409 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV407 = SV409 )
| ~ ( sdtlseqdt0 @ SV407 @ SV409 )
| ( ( sdtasdt0 @ SV340 @ SV407 )
!= ( sdtasdt0 @ SV340 @ SV409 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4710]) ).
thf(4745,plain,
! [SV410: $i,SV408: $i,SV340: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV340 )
| ~ ( aNaturalNumber0 @ SV408 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV410 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV408 = SV410 )
| ~ ( sdtlseqdt0 @ SV408 @ SV410 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SV408 ) @ ( sdtasdt0 @ SV340 @ SV410 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4711]) ).
thf(4746,plain,
! [SV393: $i,SV386: $i,SV340: $i] :
( ( ( ( SV340 = sz00 )
| ( SV386 = SV393 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV386 @ SV393 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV386 @ SV340 ) @ ( sdtasdt0 @ SV393 @ SV340 ) )
= $true )
| ( ( aNaturalNumber0 @ SV386 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV393 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4712]) ).
thf(4747,plain,
! [SV402: $i,SV399: $i,SV342: $i] :
( ( ( ( ( sdtasdt0 @ SV342 @ SV399 )
!= ( sdtasdt0 @ SV342 @ SV402 ) ) )
= $true )
| ( ( SV399 = SV402 )
= $true )
| ( ( aNaturalNumber0 @ SV399 )
= $false )
| ( ( aNaturalNumber0 @ SV402 )
= $false )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4713]) ).
thf(4748,plain,
! [SV403: $i,SV342: $i,SV400: $i] :
( ( ( ( ( sdtasdt0 @ SV400 @ SV342 )
!= ( sdtasdt0 @ SV403 @ SV342 ) ) )
= $true )
| ( ( SV400 = SV403 )
= $true )
| ( ( aNaturalNumber0 @ SV400 )
= $false )
| ( ( aNaturalNumber0 @ SV403 )
= $false )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4714]) ).
thf(4749,plain,
! [SV396: $i,SV389: $i,SV344: $i] :
( ( ( ( sdtpldt0 @ SV344 @ SV389 )
= ( sdtpldt0 @ SV344 @ SV396 ) )
= $false )
| ( ( SV389 = SV396 )
= $true )
| ( ( aNaturalNumber0 @ SV389 )
= $false )
| ( ( aNaturalNumber0 @ SV344 )
= $false )
| ( ( aNaturalNumber0 @ SV396 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4715]) ).
thf(4750,plain,
! [SV397: $i,SV344: $i,SV390: $i] :
( ( ( ( sdtpldt0 @ SV390 @ SV344 )
= ( sdtpldt0 @ SV397 @ SV344 ) )
= $false )
| ( ( SV390 = SV397 )
= $true )
| ( ( aNaturalNumber0 @ SV390 )
= $false )
| ( ( aNaturalNumber0 @ SV344 )
= $false )
| ( ( aNaturalNumber0 @ SV397 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4716]) ).
thf(4751,plain,
( ( ~ ( ( xn != xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4717]) ).
thf(4752,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4717]) ).
thf(4753,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4718]) ).
thf(4754,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4718]) ).
thf(4755,plain,
( ( ~ ( ( xp != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4719]) ).
thf(4756,plain,
( ( ~ ( ( xp != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4719]) ).
thf(4757,plain,
! [SV429: $i,SV412: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV412 )
| ~ ( aNaturalNumber0 @ SV429 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) ) ) )
| ( SV429 = sz00 )
| ( SV429 = sz10 )
| ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4720]) ).
thf(4758,plain,
! [SV430: $i,SV413: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV413 )
| ~ ( aNaturalNumber0 @ SV430 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) ) ) )
| ( SV430 = sz00 )
| ( SV430 = sz10 )
| ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4721]) ).
thf(4759,plain,
! [SV431: $i,SV414: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV414 )
| ~ ( aNaturalNumber0 @ SV431 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) ) ) )
| ( SV431 = sz00 )
| ( SV431 = sz10 )
| ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4722]) ).
thf(4760,plain,
! [SV432: $i,SV415: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV415 )
| ~ ( aNaturalNumber0 @ SV432 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) ) ) )
| ( SV432 = sz00 )
| ( SV432 = sz10 )
| ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4723]) ).
thf(4761,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV416 )
| ~ ( aNaturalNumber0 @ SV433 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) ) ) )
| ( SV433 = sz00 )
| ( SV433 = sz10 )
| ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4724]) ).
thf(4762,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV417 )
| ~ ( aNaturalNumber0 @ SV434 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) ) ) )
| ( SV434 = sz00 )
| ( SV434 = sz10 )
| ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4725]) ).
thf(4763,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV418 )
| ~ ( aNaturalNumber0 @ SV435 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) ) ) )
| ( SV435 = sz00 )
| ( SV435 = sz10 )
| ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4726]) ).
thf(4764,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV419 )
| ~ ( aNaturalNumber0 @ SV436 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) ) ) )
| ( SV436 = sz00 )
| ( SV436 = sz10 )
| ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4727]) ).
thf(4765,plain,
! [SV437: $i,SV420: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV420 )
| ~ ( aNaturalNumber0 @ SV437 )
| ~ ( isPrime0 @ SV437 )
| ! [SY535: $i] :
( ( ( sdtasdt0 @ SV338 @ SV420 )
!= ( sdtasdt0 @ SV437 @ SY535 ) )
| ~ ( aNaturalNumber0 @ SY535 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4728]) ).
thf(4766,plain,
! [SV438: $i,SV421: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV421 )
| ~ ( aNaturalNumber0 @ SV438 )
| ~ ( isPrime0 @ SV438 )
| ! [SY536: $i] :
( ( ( sdtasdt0 @ SV338 @ SV421 )
!= ( sdtasdt0 @ SV438 @ SY536 ) )
| ~ ( aNaturalNumber0 @ SY536 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4729]) ).
thf(4767,plain,
! [SV439: $i,SV422: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV422 )
| ~ ( aNaturalNumber0 @ SV439 )
| ~ ( isPrime0 @ SV439 )
| ! [SY537: $i] :
( ( ( sdtasdt0 @ SV338 @ SV422 )
!= ( sdtasdt0 @ SV439 @ SY537 ) )
| ~ ( aNaturalNumber0 @ SY537 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4730]) ).
thf(4768,plain,
! [SV440: $i,SV423: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV423 )
| ~ ( aNaturalNumber0 @ SV440 )
| ~ ( isPrime0 @ SV440 )
| ! [SY538: $i] :
( ( ( sdtasdt0 @ SV338 @ SV423 )
!= ( sdtasdt0 @ SV440 @ SY538 ) )
| ~ ( aNaturalNumber0 @ SY538 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4731]) ).
thf(4769,plain,
! [SV441: $i,SV424: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV424 )
| ~ ( aNaturalNumber0 @ SV441 )
| ~ ( isPrime0 @ SV441 )
| ~ ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4732]) ).
thf(4770,plain,
! [SV442: $i,SV425: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV425 )
| ~ ( aNaturalNumber0 @ SV442 )
| ~ ( isPrime0 @ SV442 )
| ~ ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ( doDivides0 @ SV442 @ SV425 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4733]) ).
thf(4771,plain,
! [SV443: $i,SV426: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV426 )
| ~ ( aNaturalNumber0 @ SV443 )
| ~ ( isPrime0 @ SV443 )
| ~ ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV443 @ SV338 )
| ~ ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4734]) ).
thf(4772,plain,
! [SV444: $i,SV427: $i,SV338: $i] :
( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV427 )
| ~ ( aNaturalNumber0 @ SV444 )
| ~ ( isPrime0 @ SV444 )
| ~ ( doDivides0 @ SV444 @ ( sdtasdt0 @ SV338 @ SV427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV427 ) @ SV444 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV444 @ SV338 )
| ( doDivides0 @ SV444 @ SV427 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4735]) ).
thf(4773,plain,
! [SV428: $i,SV405: $i] :
( ( ( ( xr
!= ( sdtasdt0 @ SV405 @ SV428 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV428 ) )
= $true )
| ( ( aNaturalNumber0 @ SV405 )
= $false )
| ( ( ( SV405 = sz10 )
| ( SV405 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4736]) ).
thf(4774,plain,
! [SV406: $i] :
( ( ( SV406 = sz10 )
= $true )
| ( ( SV406 = xr )
= $true )
| ( ( aNaturalNumber0 @ SV406 )
= $false )
| ( ( doDivides0 @ SV406 @ xr )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4737]) ).
thf(4775,plain,
( ( ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4738]) ).
thf(4776,plain,
( ( doDivides0 @ xr @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4739]) ).
thf(4777,plain,
! [SV361: $i,SV339: $i] :
( ( ( ! [SY488: $i] :
( ~ ( aNaturalNumber0 @ SY488 )
| ( ( sdtpldt0 @ SV339 @ SY488 )
!= ( sdtpldt0 @ SV361 @ SY488 ) ) ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4740]) ).
thf(4778,plain,
! [SV361: $i,SV339: $i] :
( ( ( ~ ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) )
| ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4741]) ).
thf(4779,plain,
! [SV361: $i,SV339: $i,SV411: $i] :
( ( ( aNaturalNumber0 @ SV411 )
= $false )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV339 @ SV411 ) @ ( sdtpldt0 @ SV361 @ SV411 ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4742]) ).
thf(4780,plain,
! [SV398: $i,SV340: $i,SV401: $i] :
( ( ( aNaturalNumber0 @ SV401 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV398 )
= $false )
| ( ( ( SV340 = sz00 )
| ( SV398 = SV401 )
| ~ ( sdtlseqdt0 @ SV398 @ SV401 )
| ( ( sdtasdt0 @ SV398 @ SV340 )
!= ( sdtasdt0 @ SV401 @ SV340 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4743]) ).
thf(4781,plain,
! [SV409: $i,SV407: $i,SV340: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV340 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV407 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV409 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV407 = SV409 )
| ~ ( sdtlseqdt0 @ SV407 @ SV409 )
| ( ( sdtasdt0 @ SV340 @ SV407 )
!= ( sdtasdt0 @ SV340 @ SV409 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4744]) ).
thf(4782,plain,
! [SV410: $i,SV408: $i,SV340: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV340 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV408 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV410 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV408 = SV410 )
| ~ ( sdtlseqdt0 @ SV408 @ SV410 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SV408 ) @ ( sdtasdt0 @ SV340 @ SV410 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4745]) ).
thf(4783,plain,
! [SV393: $i,SV386: $i,SV340: $i] :
( ( ( SV340 = sz00 )
= $true )
| ( ( SV386 = SV393 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV386 @ SV393 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV386 @ SV340 ) @ ( sdtasdt0 @ SV393 @ SV340 ) )
= $true )
| ( ( aNaturalNumber0 @ SV386 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV393 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4746]) ).
thf(4784,plain,
! [SV402: $i,SV399: $i,SV342: $i] :
( ( ( ( sdtasdt0 @ SV342 @ SV399 )
= ( sdtasdt0 @ SV342 @ SV402 ) )
= $false )
| ( ( SV399 = SV402 )
= $true )
| ( ( aNaturalNumber0 @ SV399 )
= $false )
| ( ( aNaturalNumber0 @ SV402 )
= $false )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4747]) ).
thf(4785,plain,
! [SV403: $i,SV342: $i,SV400: $i] :
( ( ( ( sdtasdt0 @ SV400 @ SV342 )
= ( sdtasdt0 @ SV403 @ SV342 ) )
= $false )
| ( ( SV400 = SV403 )
= $true )
| ( ( aNaturalNumber0 @ SV400 )
= $false )
| ( ( aNaturalNumber0 @ SV403 )
= $false )
| ( ( SV342 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV342 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4748]) ).
thf(4786,plain,
( ( ( xn != xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4751]) ).
thf(4787,plain,
( ( ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4752]) ).
thf(4788,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4753]) ).
thf(4789,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4754]) ).
thf(4790,plain,
( ( ( xp != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4755]) ).
thf(4791,plain,
( ( ( xp != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4756]) ).
thf(4792,plain,
! [SV429: $i,SV412: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV412 )
| ~ ( aNaturalNumber0 @ SV429 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) ) ) )
| ( SV429 = sz00 )
| ( SV429 = sz10 )
| ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4757]) ).
thf(4793,plain,
! [SV430: $i,SV413: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV413 )
| ~ ( aNaturalNumber0 @ SV430 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) ) ) )
| ( SV430 = sz00 )
| ( SV430 = sz10 )
| ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4758]) ).
thf(4794,plain,
! [SV431: $i,SV414: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV414 )
| ~ ( aNaturalNumber0 @ SV431 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) ) ) )
| ( SV431 = sz00 )
| ( SV431 = sz10 )
| ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4759]) ).
thf(4795,plain,
! [SV432: $i,SV415: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV415 )
| ~ ( aNaturalNumber0 @ SV432 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) ) ) )
| ( SV432 = sz00 )
| ( SV432 = sz10 )
| ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4760]) ).
thf(4796,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV416 )
| ~ ( aNaturalNumber0 @ SV433 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) ) ) )
| ( SV433 = sz00 )
| ( SV433 = sz10 )
| ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4761]) ).
thf(4797,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV417 )
| ~ ( aNaturalNumber0 @ SV434 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) ) ) )
| ( SV434 = sz00 )
| ( SV434 = sz10 )
| ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4762]) ).
thf(4798,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV418 )
| ~ ( aNaturalNumber0 @ SV435 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) ) ) )
| ( SV435 = sz00 )
| ( SV435 = sz10 )
| ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4763]) ).
thf(4799,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV419 )
| ~ ( aNaturalNumber0 @ SV436 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) ) ) )
| ( SV436 = sz00 )
| ( SV436 = sz10 )
| ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4764]) ).
thf(4800,plain,
! [SV437: $i,SV420: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV420 )
| ~ ( aNaturalNumber0 @ SV437 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV437 )
| ! [SY535: $i] :
( ( ( sdtasdt0 @ SV338 @ SV420 )
!= ( sdtasdt0 @ SV437 @ SY535 ) )
| ~ ( aNaturalNumber0 @ SY535 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4765]) ).
thf(4801,plain,
! [SV438: $i,SV421: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV421 )
| ~ ( aNaturalNumber0 @ SV438 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV438 )
| ! [SY536: $i] :
( ( ( sdtasdt0 @ SV338 @ SV421 )
!= ( sdtasdt0 @ SV438 @ SY536 ) )
| ~ ( aNaturalNumber0 @ SY536 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4766]) ).
thf(4802,plain,
! [SV439: $i,SV422: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV422 )
| ~ ( aNaturalNumber0 @ SV439 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV439 )
| ! [SY537: $i] :
( ( ( sdtasdt0 @ SV338 @ SV422 )
!= ( sdtasdt0 @ SV439 @ SY537 ) )
| ~ ( aNaturalNumber0 @ SY537 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4767]) ).
thf(4803,plain,
! [SV440: $i,SV423: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV423 )
| ~ ( aNaturalNumber0 @ SV440 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV440 )
| ! [SY538: $i] :
( ( ( sdtasdt0 @ SV338 @ SV423 )
!= ( sdtasdt0 @ SV440 @ SY538 ) )
| ~ ( aNaturalNumber0 @ SY538 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4768]) ).
thf(4804,plain,
! [SV441: $i,SV424: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV424 )
| ~ ( aNaturalNumber0 @ SV441 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV441 )
| ~ ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4769]) ).
thf(4805,plain,
! [SV442: $i,SV425: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV425 )
| ~ ( aNaturalNumber0 @ SV442 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV442 )
| ~ ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ( doDivides0 @ SV442 @ SV425 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4770]) ).
thf(4806,plain,
! [SV443: $i,SV426: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV426 )
| ~ ( aNaturalNumber0 @ SV443 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV443 )
| ~ ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV443 @ SV338 )
| ~ ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4771]) ).
thf(4807,plain,
! [SV444: $i,SV427: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV427 )
| ~ ( aNaturalNumber0 @ SV444 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV444 )
| ~ ( doDivides0 @ SV444 @ ( sdtasdt0 @ SV338 @ SV427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV427 ) @ SV444 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV444 @ SV338 )
| ( doDivides0 @ SV444 @ SV427 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4772]) ).
thf(4808,plain,
! [SV428: $i,SV405: $i] :
( ( ( xr
= ( sdtasdt0 @ SV405 @ SV428 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV428 ) )
= $true )
| ( ( aNaturalNumber0 @ SV405 )
= $false )
| ( ( ( SV405 = sz10 )
| ( SV405 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4773]) ).
thf(4809,plain,
( ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4775]) ).
thf(4810,plain,
! [SV361: $i,SV339: $i,SV445: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV445 )
| ( ( sdtpldt0 @ SV339 @ SV445 )
!= ( sdtpldt0 @ SV361 @ SV445 ) ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4777]) ).
thf(4811,plain,
! [SV361: $i,SV339: $i] :
( ( ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) )
| ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) )
= $false )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4778]) ).
thf(4812,plain,
! [SV401: $i,SV398: $i,SV340: $i] :
( ( ( ( SV340 = sz00 )
| ( SV398 = SV401 )
| ~ ( sdtlseqdt0 @ SV398 @ SV401 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV398 @ SV340 )
!= ( sdtasdt0 @ SV401 @ SV340 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV398 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV401 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4780]) ).
thf(4813,plain,
! [SV409: $i,SV407: $i,SV340: $i] :
( ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV407 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV409 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV407 = SV409 )
| ~ ( sdtlseqdt0 @ SV407 @ SV409 )
| ( ( sdtasdt0 @ SV340 @ SV407 )
!= ( sdtasdt0 @ SV340 @ SV409 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4781]) ).
thf(4814,plain,
! [SV410: $i,SV408: $i,SV340: $i] :
( ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV408 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV410 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV408 = SV410 )
| ~ ( sdtlseqdt0 @ SV408 @ SV410 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SV408 ) @ ( sdtasdt0 @ SV340 @ SV410 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4782]) ).
thf(4815,plain,
! [SV340: $i,SV393: $i,SV386: $i] :
( ( ( sdtlseqdt0 @ SV386 @ SV393 )
= $false )
| ( ( SV386 = SV393 )
= $true )
| ( ( SV340 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV386 @ SV340 ) @ ( sdtasdt0 @ SV393 @ SV340 ) )
= $true )
| ( ( aNaturalNumber0 @ SV386 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV393 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4783]) ).
thf(4816,plain,
( ( xn = xp )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4786]) ).
thf(4817,plain,
( ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4787]) ).
thf(4818,plain,
! [SV446: $i] :
( ( ~ ( aNaturalNumber0 @ SV446 )
| ! [SY539: $i] :
( ( xp
!= ( sdtasdt0 @ SV446 @ SY539 ) )
| ~ ( aNaturalNumber0 @ SY539 ) )
| ( SV446 = sz10 )
| ( SV446 = xp ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4788]) ).
thf(4819,plain,
! [SV447: $i] :
( ( ~ ( aNaturalNumber0 @ SV447 )
| ~ ( doDivides0 @ SV447 @ xp )
| ( SV447 = sz10 )
| ( SV447 = xp ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4789]) ).
thf(4820,plain,
( ( xp = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4790]) ).
thf(4821,plain,
( ( xp = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4791]) ).
thf(4822,plain,
! [SV429: $i,SV412: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV412 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV429 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) ) ) )
| ( SV429 = sz00 )
| ( SV429 = sz10 )
| ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4792]) ).
thf(4823,plain,
! [SV430: $i,SV413: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV413 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV430 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) ) ) )
| ( SV430 = sz00 )
| ( SV430 = sz10 )
| ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4793]) ).
thf(4824,plain,
! [SV431: $i,SV414: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV414 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV431 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) ) ) )
| ( SV431 = sz00 )
| ( SV431 = sz10 )
| ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4794]) ).
thf(4825,plain,
! [SV432: $i,SV415: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV415 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV432 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) ) ) )
| ( SV432 = sz00 )
| ( SV432 = sz10 )
| ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4795]) ).
thf(4826,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV416 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV433 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) ) ) )
| ( SV433 = sz00 )
| ( SV433 = sz10 )
| ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4796]) ).
thf(4827,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV417 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV434 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) ) ) )
| ( SV434 = sz00 )
| ( SV434 = sz10 )
| ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4797]) ).
thf(4828,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV418 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV435 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) ) ) )
| ( SV435 = sz00 )
| ( SV435 = sz10 )
| ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4798]) ).
thf(4829,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV419 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV436 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) ) ) )
| ( SV436 = sz00 )
| ( SV436 = sz10 )
| ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4799]) ).
thf(4830,plain,
! [SV437: $i,SV420: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV420 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV437 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV437 )
| ! [SY535: $i] :
( ( ( sdtasdt0 @ SV338 @ SV420 )
!= ( sdtasdt0 @ SV437 @ SY535 ) )
| ~ ( aNaturalNumber0 @ SY535 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4800]) ).
thf(4831,plain,
! [SV438: $i,SV421: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV421 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV438 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV438 )
| ! [SY536: $i] :
( ( ( sdtasdt0 @ SV338 @ SV421 )
!= ( sdtasdt0 @ SV438 @ SY536 ) )
| ~ ( aNaturalNumber0 @ SY536 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4801]) ).
thf(4832,plain,
! [SV439: $i,SV422: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV422 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV439 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV439 )
| ! [SY537: $i] :
( ( ( sdtasdt0 @ SV338 @ SV422 )
!= ( sdtasdt0 @ SV439 @ SY537 ) )
| ~ ( aNaturalNumber0 @ SY537 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4802]) ).
thf(4833,plain,
! [SV440: $i,SV423: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV423 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV440 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV440 )
| ! [SY538: $i] :
( ( ( sdtasdt0 @ SV338 @ SV423 )
!= ( sdtasdt0 @ SV440 @ SY538 ) )
| ~ ( aNaturalNumber0 @ SY538 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4803]) ).
thf(4834,plain,
! [SV441: $i,SV424: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV424 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV441 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV441 )
| ~ ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4804]) ).
thf(4835,plain,
! [SV442: $i,SV425: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV425 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV442 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV442 )
| ~ ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ( doDivides0 @ SV442 @ SV425 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4805]) ).
thf(4836,plain,
! [SV443: $i,SV426: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV426 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV443 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV443 )
| ~ ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV443 @ SV338 )
| ~ ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4806]) ).
thf(4837,plain,
! [SV444: $i,SV427: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 )
| ~ ( aNaturalNumber0 @ SV427 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV444 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV444 )
| ~ ( doDivides0 @ SV444 @ ( sdtasdt0 @ SV338 @ SV427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV427 ) @ SV444 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV444 @ SV338 )
| ( doDivides0 @ SV444 @ SV427 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4807]) ).
thf(4838,plain,
! [SV405: $i,SV428: $i] :
( ( ( aNaturalNumber0 @ SV428 )
= $false )
| ( ( xr
= ( sdtasdt0 @ SV405 @ SV428 ) )
= $false )
| ( ( aNaturalNumber0 @ SV405 )
= $false )
| ( ( ( SV405 = sz10 )
| ( SV405 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4808]) ).
thf(4839,plain,
( ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4809]) ).
thf(4840,plain,
( ( ~ ( aNaturalNumber0 @ xr ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4809]) ).
thf(4841,plain,
! [SV361: $i,SV339: $i,SV445: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV445 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV339 @ SV445 )
!= ( sdtpldt0 @ SV361 @ SV445 ) ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4810]) ).
thf(4842,plain,
! [SV361: $i,SV339: $i] :
( ( ( ~ ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) ) )
= $false )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4811]) ).
thf(4843,plain,
! [SV361: $i,SV339: $i] :
( ( ( ~ ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) )
= $false )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4811]) ).
thf(4844,plain,
! [SV401: $i,SV398: $i,SV340: $i] :
( ( ( ( SV340 = sz00 )
| ( SV398 = SV401 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV398 @ SV401 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV398 @ SV340 )
!= ( sdtasdt0 @ SV401 @ SV340 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV398 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV401 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4812]) ).
thf(4845,plain,
! [SV409: $i,SV340: $i,SV407: $i] :
( ( ( aNaturalNumber0 @ SV407 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV409 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV407 = SV409 )
| ~ ( sdtlseqdt0 @ SV407 @ SV409 )
| ( ( sdtasdt0 @ SV340 @ SV407 )
!= ( sdtasdt0 @ SV340 @ SV409 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4813]) ).
thf(4846,plain,
! [SV410: $i,SV340: $i,SV408: $i] :
( ( ( aNaturalNumber0 @ SV408 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV410 ) )
= $true )
| ( ( ( SV340 = sz00 )
| ( SV408 = SV410 )
| ~ ( sdtlseqdt0 @ SV408 @ SV410 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SV408 ) @ ( sdtasdt0 @ SV340 @ SV410 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4814]) ).
thf(4847,plain,
( ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4817]) ).
thf(4848,plain,
( ( ~ ( aNaturalNumber0 @ sK7_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4817]) ).
thf(4849,plain,
! [SV446: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV446 )
| ! [SY539: $i] :
( ( xp
!= ( sdtasdt0 @ SV446 @ SY539 ) )
| ~ ( aNaturalNumber0 @ SY539 ) ) )
= $true )
| ( ( ( SV446 = sz10 )
| ( SV446 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4818]) ).
thf(4850,plain,
! [SV447: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV447 )
| ~ ( doDivides0 @ SV447 @ xp ) )
= $true )
| ( ( ( SV447 = sz10 )
| ( SV447 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4819]) ).
thf(4851,plain,
! [SV429: $i,SV412: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV412 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV429 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) ) ) )
| ( SV429 = sz00 )
| ( SV429 = sz10 )
| ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4822]) ).
thf(4852,plain,
! [SV430: $i,SV413: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV413 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV430 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) ) ) )
| ( SV430 = sz00 )
| ( SV430 = sz10 )
| ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4823]) ).
thf(4853,plain,
! [SV431: $i,SV414: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV414 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV431 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) ) ) )
| ( SV431 = sz00 )
| ( SV431 = sz10 )
| ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4824]) ).
thf(4854,plain,
! [SV432: $i,SV415: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV415 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV432 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) ) ) )
| ( SV432 = sz00 )
| ( SV432 = sz10 )
| ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4825]) ).
thf(4855,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV416 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV433 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) ) ) )
| ( SV433 = sz00 )
| ( SV433 = sz10 )
| ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4826]) ).
thf(4856,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV417 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV434 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) ) ) )
| ( SV434 = sz00 )
| ( SV434 = sz10 )
| ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4827]) ).
thf(4857,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV418 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV435 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) ) ) )
| ( SV435 = sz00 )
| ( SV435 = sz10 )
| ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4828]) ).
thf(4858,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV419 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV436 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) ) ) )
| ( SV436 = sz00 )
| ( SV436 = sz10 )
| ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4829]) ).
thf(4859,plain,
! [SV437: $i,SV420: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV420 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV437 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV437 )
| ! [SY535: $i] :
( ( ( sdtasdt0 @ SV338 @ SV420 )
!= ( sdtasdt0 @ SV437 @ SY535 ) )
| ~ ( aNaturalNumber0 @ SY535 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4830]) ).
thf(4860,plain,
! [SV438: $i,SV421: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV421 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV438 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV438 )
| ! [SY536: $i] :
( ( ( sdtasdt0 @ SV338 @ SV421 )
!= ( sdtasdt0 @ SV438 @ SY536 ) )
| ~ ( aNaturalNumber0 @ SY536 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4831]) ).
thf(4861,plain,
! [SV439: $i,SV422: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV422 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV439 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV439 )
| ! [SY537: $i] :
( ( ( sdtasdt0 @ SV338 @ SV422 )
!= ( sdtasdt0 @ SV439 @ SY537 ) )
| ~ ( aNaturalNumber0 @ SY537 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4832]) ).
thf(4862,plain,
! [SV440: $i,SV423: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV423 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV440 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV440 )
| ! [SY538: $i] :
( ( ( sdtasdt0 @ SV338 @ SV423 )
!= ( sdtasdt0 @ SV440 @ SY538 ) )
| ~ ( aNaturalNumber0 @ SY538 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4833]) ).
thf(4863,plain,
! [SV441: $i,SV424: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV424 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV441 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV441 )
| ~ ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4834]) ).
thf(4864,plain,
! [SV442: $i,SV425: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV425 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV442 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV442 )
| ~ ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ( doDivides0 @ SV442 @ SV425 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4835]) ).
thf(4865,plain,
! [SV443: $i,SV426: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV426 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV443 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV443 )
| ~ ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV443 @ SV338 )
| ~ ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4836]) ).
thf(4866,plain,
! [SV444: $i,SV427: $i,SV338: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV338 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV427 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV444 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV444 )
| ~ ( doDivides0 @ SV444 @ ( sdtasdt0 @ SV338 @ SV427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV427 ) @ SV444 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV444 @ SV338 )
| ( doDivides0 @ SV444 @ SV427 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4837]) ).
thf(4867,plain,
! [SV428: $i,SV405: $i] :
( ( ( SV405 = sz10 )
= $true )
| ( ( SV405 = xr )
= $true )
| ( ( aNaturalNumber0 @ SV405 )
= $false )
| ( ( xr
= ( sdtasdt0 @ SV405 @ SV428 ) )
= $false )
| ( ( aNaturalNumber0 @ SV428 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4838]) ).
thf(4868,plain,
( ( ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4839]) ).
thf(4869,plain,
( ( aNaturalNumber0 @ xr )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4840]) ).
thf(4870,plain,
! [SV361: $i,SV339: $i,SV445: $i] :
( ( ( aNaturalNumber0 @ SV445 )
= $false )
| ( ( ( ( sdtpldt0 @ SV339 @ SV445 )
!= ( sdtpldt0 @ SV361 @ SV445 ) ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4841]) ).
thf(4871,plain,
! [SV361: $i,SV339: $i] :
( ( ( ! [SY489: $i] :
( ~ ( aNaturalNumber0 @ SY489 )
| ( ( sdtpldt0 @ SY489 @ SV339 )
!= ( sdtpldt0 @ SY489 @ SV361 ) ) ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4842]) ).
thf(4872,plain,
! [SV361: $i,SV339: $i] :
( ( ( ! [SY490: $i] :
( ~ ( aNaturalNumber0 @ SY490 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY490 @ SV339 ) @ ( sdtpldt0 @ SY490 @ SV361 ) ) ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4843]) ).
thf(4873,plain,
! [SV401: $i,SV398: $i,SV340: $i] :
( ( ( SV340 = sz00 )
= $true )
| ( ( SV398 = SV401 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV398 @ SV401 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV398 @ SV340 )
!= ( sdtasdt0 @ SV401 @ SV340 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV398 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV401 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4844]) ).
thf(4874,plain,
! [SV407: $i,SV340: $i,SV409: $i] :
( ( ( aNaturalNumber0 @ SV409 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV407 )
= $false )
| ( ( ( SV340 = sz00 )
| ( SV407 = SV409 )
| ~ ( sdtlseqdt0 @ SV407 @ SV409 )
| ( ( sdtasdt0 @ SV340 @ SV407 )
!= ( sdtasdt0 @ SV340 @ SV409 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4845]) ).
thf(4875,plain,
! [SV408: $i,SV340: $i,SV410: $i] :
( ( ( aNaturalNumber0 @ SV410 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV408 )
= $false )
| ( ( ( SV340 = sz00 )
| ( SV408 = SV410 )
| ~ ( sdtlseqdt0 @ SV408 @ SV410 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SV408 ) @ ( sdtasdt0 @ SV340 @ SV410 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4846]) ).
thf(4876,plain,
( ( ( sdtpldt0 @ xn @ sK7_W0 )
= xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4847]) ).
thf(4877,plain,
( ( aNaturalNumber0 @ sK7_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4848]) ).
thf(4878,plain,
! [SV446: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV446 ) )
= $true )
| ( ( ! [SY539: $i] :
( ( xp
!= ( sdtasdt0 @ SV446 @ SY539 ) )
| ~ ( aNaturalNumber0 @ SY539 ) ) )
= $true )
| ( ( ( SV446 = sz10 )
| ( SV446 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4849]) ).
thf(4879,plain,
! [SV447: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV447 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV447 @ xp ) )
= $true )
| ( ( ( SV447 = sz10 )
| ( SV447 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4850]) ).
thf(4880,plain,
! [SV429: $i,SV412: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV412 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV429 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) ) ) )
| ( SV429 = sz00 )
| ( SV429 = sz10 )
| ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4851]) ).
thf(4881,plain,
! [SV430: $i,SV413: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV413 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV430 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) ) ) )
| ( SV430 = sz00 )
| ( SV430 = sz10 )
| ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4852]) ).
thf(4882,plain,
! [SV431: $i,SV414: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV414 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV431 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) ) ) )
| ( SV431 = sz00 )
| ( SV431 = sz10 )
| ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4853]) ).
thf(4883,plain,
! [SV432: $i,SV415: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV415 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV432 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) ) ) )
| ( SV432 = sz00 )
| ( SV432 = sz10 )
| ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4854]) ).
thf(4884,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV416 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV433 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) ) ) )
| ( SV433 = sz00 )
| ( SV433 = sz10 )
| ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4855]) ).
thf(4885,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV417 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV434 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) ) ) )
| ( SV434 = sz00 )
| ( SV434 = sz10 )
| ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4856]) ).
thf(4886,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV418 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV435 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) ) ) )
| ( SV435 = sz00 )
| ( SV435 = sz10 )
| ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4857]) ).
thf(4887,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV419 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV436 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) ) ) )
| ( SV436 = sz00 )
| ( SV436 = sz10 )
| ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4858]) ).
thf(4888,plain,
! [SV437: $i,SV420: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV420 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV437 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV437 )
| ! [SY535: $i] :
( ( ( sdtasdt0 @ SV338 @ SV420 )
!= ( sdtasdt0 @ SV437 @ SY535 ) )
| ~ ( aNaturalNumber0 @ SY535 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4859]) ).
thf(4889,plain,
! [SV438: $i,SV421: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV421 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV438 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV438 )
| ! [SY536: $i] :
( ( ( sdtasdt0 @ SV338 @ SV421 )
!= ( sdtasdt0 @ SV438 @ SY536 ) )
| ~ ( aNaturalNumber0 @ SY536 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4860]) ).
thf(4890,plain,
! [SV439: $i,SV422: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV422 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV439 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV439 )
| ! [SY537: $i] :
( ( ( sdtasdt0 @ SV338 @ SV422 )
!= ( sdtasdt0 @ SV439 @ SY537 ) )
| ~ ( aNaturalNumber0 @ SY537 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4861]) ).
thf(4891,plain,
! [SV440: $i,SV423: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV423 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV440 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV440 )
| ! [SY538: $i] :
( ( ( sdtasdt0 @ SV338 @ SV423 )
!= ( sdtasdt0 @ SV440 @ SY538 ) )
| ~ ( aNaturalNumber0 @ SY538 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4862]) ).
thf(4892,plain,
! [SV441: $i,SV424: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV424 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV441 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV441 )
| ~ ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4863]) ).
thf(4893,plain,
! [SV442: $i,SV425: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV425 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV442 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV442 )
| ~ ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ( doDivides0 @ SV442 @ SV425 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4864]) ).
thf(4894,plain,
! [SV443: $i,SV426: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV426 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV443 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV443 )
| ~ ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV443 @ SV338 )
| ~ ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4865]) ).
thf(4895,plain,
! [SV444: $i,SV427: $i,SV338: $i] :
( ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV427 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV444 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV444 )
| ~ ( doDivides0 @ SV444 @ ( sdtasdt0 @ SV338 @ SV427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV427 ) @ SV444 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV444 @ SV338 )
| ( doDivides0 @ SV444 @ SV427 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4866]) ).
thf(4896,plain,
( ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4868]) ).
thf(4897,plain,
! [SV361: $i,SV445: $i,SV339: $i] :
( ( ( ( sdtpldt0 @ SV339 @ SV445 )
= ( sdtpldt0 @ SV361 @ SV445 ) )
= $false )
| ( ( aNaturalNumber0 @ SV445 )
= $false )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4870]) ).
thf(4898,plain,
! [SV361: $i,SV339: $i,SV448: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV448 )
| ( ( sdtpldt0 @ SV448 @ SV339 )
!= ( sdtpldt0 @ SV448 @ SV361 ) ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4871]) ).
thf(4899,plain,
! [SV361: $i,SV339: $i,SV449: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV449 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV449 @ SV339 ) @ ( sdtpldt0 @ SV449 @ SV361 ) ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4872]) ).
thf(4900,plain,
! [SV340: $i,SV401: $i,SV398: $i] :
( ( ( sdtlseqdt0 @ SV398 @ SV401 )
= $false )
| ( ( SV398 = SV401 )
= $true )
| ( ( SV340 = sz00 )
= $true )
| ( ( ( ( sdtasdt0 @ SV398 @ SV340 )
!= ( sdtasdt0 @ SV401 @ SV340 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV398 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV401 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4873]) ).
thf(4901,plain,
! [SV409: $i,SV407: $i,SV340: $i] :
( ( ( ( SV340 = sz00 )
| ( SV407 = SV409 )
| ~ ( sdtlseqdt0 @ SV407 @ SV409 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV340 @ SV407 )
!= ( sdtasdt0 @ SV340 @ SV409 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV407 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV409 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4874]) ).
thf(4902,plain,
! [SV410: $i,SV408: $i,SV340: $i] :
( ( ( ( SV340 = sz00 )
| ( SV408 = SV410 )
| ~ ( sdtlseqdt0 @ SV408 @ SV410 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SV408 ) @ ( sdtasdt0 @ SV340 @ SV410 ) )
= $true )
| ( ( aNaturalNumber0 @ SV408 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV410 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4875]) ).
thf(4903,plain,
! [SV446: $i] :
( ( ( aNaturalNumber0 @ SV446 )
= $false )
| ( ( ! [SY539: $i] :
( ( xp
!= ( sdtasdt0 @ SV446 @ SY539 ) )
| ~ ( aNaturalNumber0 @ SY539 ) ) )
= $true )
| ( ( ( SV446 = sz10 )
| ( SV446 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4878]) ).
thf(4904,plain,
! [SV447: $i] :
( ( ( aNaturalNumber0 @ SV447 )
= $false )
| ( ( ~ ( doDivides0 @ SV447 @ xp ) )
= $true )
| ( ( ( SV447 = sz10 )
| ( SV447 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4879]) ).
thf(4905,plain,
! [SV429: $i,SV338: $i,SV412: $i] :
( ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV429 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) ) ) )
| ( SV429 = sz00 )
| ( SV429 = sz10 )
| ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4880]) ).
thf(4906,plain,
! [SV430: $i,SV338: $i,SV413: $i] :
( ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV430 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) ) ) )
| ( SV430 = sz00 )
| ( SV430 = sz10 )
| ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4881]) ).
thf(4907,plain,
! [SV431: $i,SV338: $i,SV414: $i] :
( ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV431 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) ) ) )
| ( SV431 = sz00 )
| ( SV431 = sz10 )
| ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4882]) ).
thf(4908,plain,
! [SV432: $i,SV338: $i,SV415: $i] :
( ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV432 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) ) ) )
| ( SV432 = sz00 )
| ( SV432 = sz10 )
| ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4883]) ).
thf(4909,plain,
! [SV433: $i,SV338: $i,SV416: $i] :
( ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV433 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) ) ) )
| ( SV433 = sz00 )
| ( SV433 = sz10 )
| ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4884]) ).
thf(4910,plain,
! [SV434: $i,SV338: $i,SV417: $i] :
( ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV434 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) ) ) )
| ( SV434 = sz00 )
| ( SV434 = sz10 )
| ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4885]) ).
thf(4911,plain,
! [SV435: $i,SV338: $i,SV418: $i] :
( ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV435 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) ) ) )
| ( SV435 = sz00 )
| ( SV435 = sz10 )
| ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4886]) ).
thf(4912,plain,
! [SV436: $i,SV338: $i,SV419: $i] :
( ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV436 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) ) ) )
| ( SV436 = sz00 )
| ( SV436 = sz10 )
| ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4887]) ).
thf(4913,plain,
! [SV437: $i,SV338: $i,SV420: $i] :
( ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV437 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV437 )
| ! [SY535: $i] :
( ( ( sdtasdt0 @ SV338 @ SV420 )
!= ( sdtasdt0 @ SV437 @ SY535 ) )
| ~ ( aNaturalNumber0 @ SY535 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4888]) ).
thf(4914,plain,
! [SV438: $i,SV338: $i,SV421: $i] :
( ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV438 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV438 )
| ! [SY536: $i] :
( ( ( sdtasdt0 @ SV338 @ SV421 )
!= ( sdtasdt0 @ SV438 @ SY536 ) )
| ~ ( aNaturalNumber0 @ SY536 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4889]) ).
thf(4915,plain,
! [SV439: $i,SV338: $i,SV422: $i] :
( ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV439 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV439 )
| ! [SY537: $i] :
( ( ( sdtasdt0 @ SV338 @ SV422 )
!= ( sdtasdt0 @ SV439 @ SY537 ) )
| ~ ( aNaturalNumber0 @ SY537 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4890]) ).
thf(4916,plain,
! [SV440: $i,SV338: $i,SV423: $i] :
( ( ( aNaturalNumber0 @ SV423 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV440 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV440 )
| ! [SY538: $i] :
( ( ( sdtasdt0 @ SV338 @ SV423 )
!= ( sdtasdt0 @ SV440 @ SY538 ) )
| ~ ( aNaturalNumber0 @ SY538 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4891]) ).
thf(4917,plain,
! [SV441: $i,SV338: $i,SV424: $i] :
( ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV441 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV441 )
| ~ ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4892]) ).
thf(4918,plain,
! [SV442: $i,SV338: $i,SV425: $i] :
( ( ( aNaturalNumber0 @ SV425 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV442 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV442 )
| ~ ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ( doDivides0 @ SV442 @ SV425 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4893]) ).
thf(4919,plain,
! [SV443: $i,SV338: $i,SV426: $i] :
( ( ( aNaturalNumber0 @ SV426 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV443 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV443 )
| ~ ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV443 @ SV338 )
| ~ ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4894]) ).
thf(4920,plain,
! [SV444: $i,SV338: $i,SV427: $i] :
( ( ( aNaturalNumber0 @ SV427 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV444 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV444 )
| ~ ( doDivides0 @ SV444 @ ( sdtasdt0 @ SV338 @ SV427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV427 ) @ SV444 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV444 @ SV338 )
| ( doDivides0 @ SV444 @ SV427 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4895]) ).
thf(4921,plain,
( ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4896]) ).
thf(4922,plain,
( ( ~ ( aNaturalNumber0 @ sK5_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4896]) ).
thf(4923,plain,
! [SV361: $i,SV339: $i,SV448: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV448 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV448 @ SV339 )
!= ( sdtpldt0 @ SV448 @ SV361 ) ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4898]) ).
thf(4924,plain,
! [SV361: $i,SV339: $i,SV449: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV449 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV449 @ SV339 ) @ ( sdtpldt0 @ SV449 @ SV361 ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4899]) ).
thf(4925,plain,
! [SV401: $i,SV340: $i,SV398: $i] :
( ( ( ( sdtasdt0 @ SV398 @ SV340 )
= ( sdtasdt0 @ SV401 @ SV340 ) )
= $false )
| ( ( SV340 = sz00 )
= $true )
| ( ( SV398 = SV401 )
= $true )
| ( ( sdtlseqdt0 @ SV398 @ SV401 )
= $false )
| ( ( aNaturalNumber0 @ SV398 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV401 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4900]) ).
thf(4926,plain,
! [SV409: $i,SV407: $i,SV340: $i] :
( ( ( ( SV340 = sz00 )
| ( SV407 = SV409 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV407 @ SV409 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV340 @ SV407 )
!= ( sdtasdt0 @ SV340 @ SV409 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV407 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV409 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4901]) ).
thf(4927,plain,
! [SV410: $i,SV408: $i,SV340: $i] :
( ( ( ( SV340 = sz00 )
| ( SV408 = SV410 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV408 @ SV410 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SV408 ) @ ( sdtasdt0 @ SV340 @ SV410 ) )
= $true )
| ( ( aNaturalNumber0 @ SV408 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV410 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4902]) ).
thf(4928,plain,
! [SV450: $i,SV446: $i] :
( ( ( ( xp
!= ( sdtasdt0 @ SV446 @ SV450 ) )
| ~ ( aNaturalNumber0 @ SV450 ) )
= $true )
| ( ( aNaturalNumber0 @ SV446 )
= $false )
| ( ( ( SV446 = sz10 )
| ( SV446 = xp ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4903]) ).
thf(4929,plain,
! [SV447: $i] :
( ( ( doDivides0 @ SV447 @ xp )
= $false )
| ( ( aNaturalNumber0 @ SV447 )
= $false )
| ( ( ( SV447 = sz10 )
| ( SV447 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4904]) ).
thf(4930,plain,
! [SV412: $i,SV338: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ SV429 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) ) ) )
| ( SV429 = sz00 )
| ( SV429 = sz10 )
| ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4905]) ).
thf(4931,plain,
! [SV413: $i,SV338: $i,SV430: $i] :
( ( ( aNaturalNumber0 @ SV430 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) ) ) )
| ( SV430 = sz00 )
| ( SV430 = sz10 )
| ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4906]) ).
thf(4932,plain,
! [SV414: $i,SV338: $i,SV431: $i] :
( ( ( aNaturalNumber0 @ SV431 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) ) ) )
| ( SV431 = sz00 )
| ( SV431 = sz10 )
| ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4907]) ).
thf(4933,plain,
! [SV415: $i,SV338: $i,SV432: $i] :
( ( ( aNaturalNumber0 @ SV432 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) ) ) )
| ( SV432 = sz00 )
| ( SV432 = sz10 )
| ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4908]) ).
thf(4934,plain,
! [SV416: $i,SV338: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ SV433 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) ) ) )
| ( SV433 = sz00 )
| ( SV433 = sz10 )
| ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4909]) ).
thf(4935,plain,
! [SV417: $i,SV338: $i,SV434: $i] :
( ( ( aNaturalNumber0 @ SV434 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) ) ) )
| ( SV434 = sz00 )
| ( SV434 = sz10 )
| ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4910]) ).
thf(4936,plain,
! [SV418: $i,SV338: $i,SV435: $i] :
( ( ( aNaturalNumber0 @ SV435 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) ) ) )
| ( SV435 = sz00 )
| ( SV435 = sz10 )
| ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4911]) ).
thf(4937,plain,
! [SV419: $i,SV338: $i,SV436: $i] :
( ( ( aNaturalNumber0 @ SV436 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) ) ) )
| ( SV436 = sz00 )
| ( SV436 = sz10 )
| ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4912]) ).
thf(4938,plain,
! [SV420: $i,SV338: $i,SV437: $i] :
( ( ( aNaturalNumber0 @ SV437 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( ~ ( isPrime0 @ SV437 )
| ! [SY535: $i] :
( ( ( sdtasdt0 @ SV338 @ SV420 )
!= ( sdtasdt0 @ SV437 @ SY535 ) )
| ~ ( aNaturalNumber0 @ SY535 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4913]) ).
thf(4939,plain,
! [SV421: $i,SV338: $i,SV438: $i] :
( ( ( aNaturalNumber0 @ SV438 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( ~ ( isPrime0 @ SV438 )
| ! [SY536: $i] :
( ( ( sdtasdt0 @ SV338 @ SV421 )
!= ( sdtasdt0 @ SV438 @ SY536 ) )
| ~ ( aNaturalNumber0 @ SY536 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4914]) ).
thf(4940,plain,
! [SV422: $i,SV338: $i,SV439: $i] :
( ( ( aNaturalNumber0 @ SV439 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( ~ ( isPrime0 @ SV439 )
| ! [SY537: $i] :
( ( ( sdtasdt0 @ SV338 @ SV422 )
!= ( sdtasdt0 @ SV439 @ SY537 ) )
| ~ ( aNaturalNumber0 @ SY537 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4915]) ).
thf(4941,plain,
! [SV423: $i,SV338: $i,SV440: $i] :
( ( ( aNaturalNumber0 @ SV440 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV423 )
= $false )
| ( ( ~ ( isPrime0 @ SV440 )
| ! [SY538: $i] :
( ( ( sdtasdt0 @ SV338 @ SV423 )
!= ( sdtasdt0 @ SV440 @ SY538 ) )
| ~ ( aNaturalNumber0 @ SY538 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4916]) ).
thf(4942,plain,
! [SV424: $i,SV338: $i,SV441: $i] :
( ( ( aNaturalNumber0 @ SV441 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( ~ ( isPrime0 @ SV441 )
| ~ ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4917]) ).
thf(4943,plain,
! [SV425: $i,SV338: $i,SV442: $i] :
( ( ( aNaturalNumber0 @ SV442 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV425 )
= $false )
| ( ( ~ ( isPrime0 @ SV442 )
| ~ ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ( doDivides0 @ SV442 @ SV425 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4918]) ).
thf(4944,plain,
! [SV426: $i,SV338: $i,SV443: $i] :
( ( ( aNaturalNumber0 @ SV443 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV426 )
= $false )
| ( ( ~ ( isPrime0 @ SV443 )
| ~ ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV443 @ SV338 )
| ~ ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4919]) ).
thf(4945,plain,
! [SV427: $i,SV338: $i,SV444: $i] :
( ( ( aNaturalNumber0 @ SV444 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV427 )
= $false )
| ( ( ~ ( isPrime0 @ SV444 )
| ~ ( doDivides0 @ SV444 @ ( sdtasdt0 @ SV338 @ SV427 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV427 ) @ SV444 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV444 @ SV338 )
| ( doDivides0 @ SV444 @ SV427 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4920]) ).
thf(4946,plain,
( ( xk
= ( sdtasdt0 @ xr @ sK5_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4921]) ).
thf(4947,plain,
( ( aNaturalNumber0 @ sK5_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4922]) ).
thf(4948,plain,
! [SV361: $i,SV339: $i,SV448: $i] :
( ( ( aNaturalNumber0 @ SV448 )
= $false )
| ( ( ( ( sdtpldt0 @ SV448 @ SV339 )
!= ( sdtpldt0 @ SV448 @ SV361 ) ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4923]) ).
thf(4949,plain,
! [SV361: $i,SV339: $i,SV449: $i] :
( ( ( aNaturalNumber0 @ SV449 )
= $false )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV449 @ SV339 ) @ ( sdtpldt0 @ SV449 @ SV361 ) )
= $true )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4924]) ).
thf(4950,plain,
! [SV409: $i,SV407: $i,SV340: $i] :
( ( ( SV340 = sz00 )
= $true )
| ( ( SV407 = SV409 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV407 @ SV409 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV340 @ SV407 )
!= ( sdtasdt0 @ SV340 @ SV409 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV407 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV409 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4926]) ).
thf(4951,plain,
! [SV410: $i,SV408: $i,SV340: $i] :
( ( ( SV340 = sz00 )
= $true )
| ( ( SV408 = SV410 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV408 @ SV410 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SV408 ) @ ( sdtasdt0 @ SV340 @ SV410 ) )
= $true )
| ( ( aNaturalNumber0 @ SV408 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV410 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4927]) ).
thf(4952,plain,
! [SV450: $i,SV446: $i] :
( ( ( ( xp
!= ( sdtasdt0 @ SV446 @ SV450 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV450 ) )
= $true )
| ( ( aNaturalNumber0 @ SV446 )
= $false )
| ( ( ( SV446 = sz10 )
| ( SV446 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4928]) ).
thf(4953,plain,
! [SV447: $i] :
( ( ( SV447 = sz10 )
= $true )
| ( ( SV447 = xp )
= $true )
| ( ( aNaturalNumber0 @ SV447 )
= $false )
| ( ( doDivides0 @ SV447 @ xp )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4929]) ).
thf(4954,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) ) ) )
| ( SV429 = sz00 )
| ( SV429 = sz10 )
| ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4930]) ).
thf(4955,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) ) ) )
| ( SV430 = sz00 )
| ( SV430 = sz10 )
| ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4931]) ).
thf(4956,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) ) ) )
| ( SV431 = sz00 )
| ( SV431 = sz10 )
| ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4932]) ).
thf(4957,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) ) ) )
| ( SV432 = sz00 )
| ( SV432 = sz10 )
| ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4933]) ).
thf(4958,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) ) ) )
| ( SV433 = sz00 )
| ( SV433 = sz10 )
| ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4934]) ).
thf(4959,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) ) ) )
| ( SV434 = sz00 )
| ( SV434 = sz10 )
| ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4935]) ).
thf(4960,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) ) ) )
| ( SV435 = sz00 )
| ( SV435 = sz10 )
| ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4936]) ).
thf(4961,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) ) ) )
| ( SV436 = sz00 )
| ( SV436 = sz10 )
| ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4937]) ).
thf(4962,plain,
! [SV420: $i,SV338: $i,SV437: $i] :
( ( ( ~ ( isPrime0 @ SV437 )
| ! [SY535: $i] :
( ( ( sdtasdt0 @ SV338 @ SV420 )
!= ( sdtasdt0 @ SV437 @ SY535 ) )
| ~ ( aNaturalNumber0 @ SY535 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4938]) ).
thf(4963,plain,
! [SV421: $i,SV338: $i,SV438: $i] :
( ( ( ~ ( isPrime0 @ SV438 )
| ! [SY536: $i] :
( ( ( sdtasdt0 @ SV338 @ SV421 )
!= ( sdtasdt0 @ SV438 @ SY536 ) )
| ~ ( aNaturalNumber0 @ SY536 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV438 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4939]) ).
thf(4964,plain,
! [SV422: $i,SV338: $i,SV439: $i] :
( ( ( ~ ( isPrime0 @ SV439 )
| ! [SY537: $i] :
( ( ( sdtasdt0 @ SV338 @ SV422 )
!= ( sdtasdt0 @ SV439 @ SY537 ) )
| ~ ( aNaturalNumber0 @ SY537 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV439 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4940]) ).
thf(4965,plain,
! [SV423: $i,SV338: $i,SV440: $i] :
( ( ( ~ ( isPrime0 @ SV440 )
| ! [SY538: $i] :
( ( ( sdtasdt0 @ SV338 @ SV423 )
!= ( sdtasdt0 @ SV440 @ SY538 ) )
| ~ ( aNaturalNumber0 @ SY538 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true )
| ( ( aNaturalNumber0 @ SV423 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV440 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4941]) ).
thf(4966,plain,
! [SV424: $i,SV338: $i,SV441: $i] :
( ( ( ~ ( isPrime0 @ SV441 )
| ~ ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4942]) ).
thf(4967,plain,
! [SV425: $i,SV338: $i,SV442: $i] :
( ( ( ~ ( isPrime0 @ SV442 )
| ~ ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ( doDivides0 @ SV442 @ SV425 ) )
= $true )
| ( ( aNaturalNumber0 @ SV425 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV442 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4943]) ).
thf(4968,plain,
! [SV426: $i,SV338: $i,SV443: $i] :
( ( ( ~ ( isPrime0 @ SV443 )
| ~ ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV443 @ SV338 )
| ~ ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV426 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV443 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4944]) ).
thf(4969,plain,
! [SV427: $i,SV338: $i,SV444: $i] :
( ( ( ~ ( isPrime0 @ SV444 )
| ~ ( doDivides0 @ SV444 @ ( sdtasdt0 @ SV338 @ SV427 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV427 ) @ SV444 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV444 @ SV338 )
| ( doDivides0 @ SV444 @ SV427 ) )
= $true )
| ( ( aNaturalNumber0 @ SV427 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV444 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4945]) ).
thf(4970,plain,
! [SV361: $i,SV339: $i,SV448: $i] :
( ( ( ( sdtpldt0 @ SV448 @ SV339 )
= ( sdtpldt0 @ SV448 @ SV361 ) )
= $false )
| ( ( aNaturalNumber0 @ SV448 )
= $false )
| ( ( SV339 = SV361 )
= $true )
| ( ( sdtlseqdt0 @ SV339 @ SV361 )
= $false )
| ( ( aNaturalNumber0 @ SV339 )
= $false )
| ( ( aNaturalNumber0 @ SV361 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4948]) ).
thf(4971,plain,
! [SV340: $i,SV409: $i,SV407: $i] :
( ( ( sdtlseqdt0 @ SV407 @ SV409 )
= $false )
| ( ( SV407 = SV409 )
= $true )
| ( ( SV340 = sz00 )
= $true )
| ( ( ( ( sdtasdt0 @ SV340 @ SV407 )
!= ( sdtasdt0 @ SV340 @ SV409 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV407 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV409 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4950]) ).
thf(4972,plain,
! [SV340: $i,SV410: $i,SV408: $i] :
( ( ( sdtlseqdt0 @ SV408 @ SV410 )
= $false )
| ( ( SV408 = SV410 )
= $true )
| ( ( SV340 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV340 @ SV408 ) @ ( sdtasdt0 @ SV340 @ SV410 ) )
= $true )
| ( ( aNaturalNumber0 @ SV408 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV410 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4951]) ).
thf(4973,plain,
! [SV450: $i,SV446: $i] :
( ( ( xp
= ( sdtasdt0 @ SV446 @ SV450 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV450 ) )
= $true )
| ( ( aNaturalNumber0 @ SV446 )
= $false )
| ( ( ( SV446 = sz10 )
| ( SV446 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4952]) ).
thf(4974,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) ) ) )
| ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4954]) ).
thf(4975,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) ) ) )
| ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4955]) ).
thf(4976,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) ) ) )
| ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4956]) ).
thf(4977,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) ) ) )
| ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4957]) ).
thf(4978,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) ) ) )
| ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4958]) ).
thf(4979,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) ) ) )
| ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4959]) ).
thf(4980,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) ) ) )
| ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4960]) ).
thf(4981,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) ) ) )
| ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4961]) ).
thf(4982,plain,
! [SV420: $i,SV338: $i,SV437: $i] :
( ( ( ~ ( isPrime0 @ SV437 ) )
= $true )
| ( ( ! [SY535: $i] :
( ( ( sdtasdt0 @ SV338 @ SV420 )
!= ( sdtasdt0 @ SV437 @ SY535 ) )
| ~ ( aNaturalNumber0 @ SY535 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4962]) ).
thf(4983,plain,
! [SV421: $i,SV338: $i,SV438: $i] :
( ( ( ~ ( isPrime0 @ SV438 ) )
= $true )
| ( ( ! [SY536: $i] :
( ( ( sdtasdt0 @ SV338 @ SV421 )
!= ( sdtasdt0 @ SV438 @ SY536 ) )
| ~ ( aNaturalNumber0 @ SY536 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV438 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4963]) ).
thf(4984,plain,
! [SV422: $i,SV338: $i,SV439: $i] :
( ( ( ~ ( isPrime0 @ SV439 ) )
= $true )
| ( ( ! [SY537: $i] :
( ( ( sdtasdt0 @ SV338 @ SV422 )
!= ( sdtasdt0 @ SV439 @ SY537 ) )
| ~ ( aNaturalNumber0 @ SY537 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV439 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4964]) ).
thf(4985,plain,
! [SV423: $i,SV338: $i,SV440: $i] :
( ( ( ~ ( isPrime0 @ SV440 ) )
= $true )
| ( ( ! [SY538: $i] :
( ( ( sdtasdt0 @ SV338 @ SV423 )
!= ( sdtasdt0 @ SV440 @ SY538 ) )
| ~ ( aNaturalNumber0 @ SY538 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true )
| ( ( aNaturalNumber0 @ SV423 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV440 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4965]) ).
thf(4986,plain,
! [SV424: $i,SV338: $i,SV441: $i] :
( ( ( ~ ( isPrime0 @ SV441 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4966]) ).
thf(4987,plain,
! [SV425: $i,SV338: $i,SV442: $i] :
( ( ( ~ ( isPrime0 @ SV442 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ( doDivides0 @ SV442 @ SV425 ) )
= $true )
| ( ( aNaturalNumber0 @ SV425 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV442 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4967]) ).
thf(4988,plain,
! [SV426: $i,SV338: $i,SV443: $i] :
( ( ( ~ ( isPrime0 @ SV443 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV443 @ SV338 )
| ~ ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV426 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV443 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4968]) ).
thf(4989,plain,
! [SV427: $i,SV338: $i,SV444: $i] :
( ( ( ~ ( isPrime0 @ SV444 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV444 @ ( sdtasdt0 @ SV338 @ SV427 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV427 ) @ SV444 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV444 @ SV338 )
| ( doDivides0 @ SV444 @ SV427 ) )
= $true )
| ( ( aNaturalNumber0 @ SV427 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV444 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4969]) ).
thf(4990,plain,
! [SV409: $i,SV407: $i,SV340: $i] :
( ( ( ( sdtasdt0 @ SV340 @ SV407 )
= ( sdtasdt0 @ SV340 @ SV409 ) )
= $false )
| ( ( SV340 = sz00 )
= $true )
| ( ( SV407 = SV409 )
= $true )
| ( ( sdtlseqdt0 @ SV407 @ SV409 )
= $false )
| ( ( aNaturalNumber0 @ SV407 )
= $false )
| ( ( aNaturalNumber0 @ SV340 )
= $false )
| ( ( aNaturalNumber0 @ SV409 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4971]) ).
thf(4991,plain,
! [SV446: $i,SV450: $i] :
( ( ( aNaturalNumber0 @ SV450 )
= $false )
| ( ( xp
= ( sdtasdt0 @ SV446 @ SV450 ) )
= $false )
| ( ( aNaturalNumber0 @ SV446 )
= $false )
| ( ( ( SV446 = sz10 )
| ( SV446 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4973]) ).
thf(4992,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) ) ) ) )
= $true )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4974]) ).
thf(4993,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) ) ) ) )
= $true )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4975]) ).
thf(4994,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) ) ) ) )
= $true )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4976]) ).
thf(4995,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) ) ) ) )
= $true )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4977]) ).
thf(4996,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) ) ) ) )
= $true )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4978]) ).
thf(4997,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) ) ) ) )
= $true )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4979]) ).
thf(4998,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) ) ) ) )
= $true )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4980]) ).
thf(4999,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) ) ) ) )
= $true )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4981]) ).
thf(5000,plain,
! [SV420: $i,SV338: $i,SV437: $i] :
( ( ( isPrime0 @ SV437 )
= $false )
| ( ( ! [SY535: $i] :
( ( ( sdtasdt0 @ SV338 @ SV420 )
!= ( sdtasdt0 @ SV437 @ SY535 ) )
| ~ ( aNaturalNumber0 @ SY535 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4982]) ).
thf(5001,plain,
! [SV421: $i,SV338: $i,SV438: $i] :
( ( ( isPrime0 @ SV438 )
= $false )
| ( ( ! [SY536: $i] :
( ( ( sdtasdt0 @ SV338 @ SV421 )
!= ( sdtasdt0 @ SV438 @ SY536 ) )
| ~ ( aNaturalNumber0 @ SY536 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV438 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4983]) ).
thf(5002,plain,
! [SV422: $i,SV338: $i,SV439: $i] :
( ( ( isPrime0 @ SV439 )
= $false )
| ( ( ! [SY537: $i] :
( ( ( sdtasdt0 @ SV338 @ SV422 )
!= ( sdtasdt0 @ SV439 @ SY537 ) )
| ~ ( aNaturalNumber0 @ SY537 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV439 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4984]) ).
thf(5003,plain,
! [SV423: $i,SV338: $i,SV440: $i] :
( ( ( isPrime0 @ SV440 )
= $false )
| ( ( ! [SY538: $i] :
( ( ( sdtasdt0 @ SV338 @ SV423 )
!= ( sdtasdt0 @ SV440 @ SY538 ) )
| ~ ( aNaturalNumber0 @ SY538 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true )
| ( ( aNaturalNumber0 @ SV423 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV440 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4985]) ).
thf(5004,plain,
! [SV424: $i,SV338: $i,SV441: $i] :
( ( ( isPrime0 @ SV441 )
= $false )
| ( ( ~ ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4986]) ).
thf(5005,plain,
! [SV425: $i,SV338: $i,SV442: $i] :
( ( ( isPrime0 @ SV442 )
= $false )
| ( ( ~ ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ( doDivides0 @ SV442 @ SV425 ) )
= $true )
| ( ( aNaturalNumber0 @ SV425 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV442 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4987]) ).
thf(5006,plain,
! [SV426: $i,SV338: $i,SV443: $i] :
( ( ( isPrime0 @ SV443 )
= $false )
| ( ( ~ ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV443 @ SV338 )
| ~ ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV426 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV443 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4988]) ).
thf(5007,plain,
! [SV427: $i,SV338: $i,SV444: $i] :
( ( ( isPrime0 @ SV444 )
= $false )
| ( ( ~ ( doDivides0 @ SV444 @ ( sdtasdt0 @ SV338 @ SV427 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV427 ) @ SV444 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV444 @ SV338 )
| ( doDivides0 @ SV444 @ SV427 ) )
= $true )
| ( ( aNaturalNumber0 @ SV427 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV444 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4989]) ).
thf(5008,plain,
! [SV450: $i,SV446: $i] :
( ( ( SV446 = sz10 )
= $true )
| ( ( SV446 = xp )
= $true )
| ( ( aNaturalNumber0 @ SV446 )
= $false )
| ( ( xp
= ( sdtasdt0 @ SV446 @ SV450 ) )
= $false )
| ( ( aNaturalNumber0 @ SV450 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4991]) ).
thf(5009,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) ) ) )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4992]) ).
thf(5010,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) ) ) )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4993]) ).
thf(5011,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) ) ) )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4994]) ).
thf(5012,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) ) ) )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4995]) ).
thf(5013,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) ) ) )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4996]) ).
thf(5014,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) ) ) )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4997]) ).
thf(5015,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) ) ) )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4998]) ).
thf(5016,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) ) ) )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4999]) ).
thf(5017,plain,
! [SV451: $i,SV437: $i,SV420: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV420 )
!= ( sdtasdt0 @ SV437 @ SV451 ) )
| ~ ( aNaturalNumber0 @ SV451 ) )
= $true )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5000]) ).
thf(5018,plain,
! [SV452: $i,SV438: $i,SV421: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV421 )
!= ( sdtasdt0 @ SV438 @ SV452 ) )
| ~ ( aNaturalNumber0 @ SV452 ) )
= $true )
| ( ( isPrime0 @ SV438 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV438 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5001]) ).
thf(5019,plain,
! [SV453: $i,SV439: $i,SV422: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV422 )
!= ( sdtasdt0 @ SV439 @ SV453 ) )
| ~ ( aNaturalNumber0 @ SV453 ) )
= $true )
| ( ( isPrime0 @ SV439 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV439 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5002]) ).
thf(5020,plain,
! [SV454: $i,SV440: $i,SV423: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV423 )
!= ( sdtasdt0 @ SV440 @ SV454 ) )
| ~ ( aNaturalNumber0 @ SV454 ) )
= $true )
| ( ( isPrime0 @ SV440 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true )
| ( ( aNaturalNumber0 @ SV423 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV440 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5003]) ).
thf(5021,plain,
! [SV424: $i,SV338: $i,SV441: $i] :
( ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5004]) ).
thf(5022,plain,
! [SV425: $i,SV338: $i,SV442: $i] :
( ( ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
= $false )
| ( ( isPrime0 @ SV442 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ( doDivides0 @ SV442 @ SV425 ) )
= $true )
| ( ( aNaturalNumber0 @ SV425 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV442 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5005]) ).
thf(5023,plain,
! [SV426: $i,SV338: $i,SV443: $i] :
( ( ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
= $false )
| ( ( isPrime0 @ SV443 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV443 @ SV338 )
| ~ ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV426 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV443 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5006]) ).
thf(5024,plain,
! [SV427: $i,SV338: $i,SV444: $i] :
( ( ( doDivides0 @ SV444 @ ( sdtasdt0 @ SV338 @ SV427 ) )
= $false )
| ( ( isPrime0 @ SV444 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV427 ) @ SV444 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV444 @ SV338 )
| ( doDivides0 @ SV444 @ SV427 ) )
= $true )
| ( ( aNaturalNumber0 @ SV427 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV444 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5007]) ).
thf(5025,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 ) ) )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5009]) ).
thf(5026,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) ) ) )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5009]) ).
thf(5027,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 ) ) )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5010]) ).
thf(5028,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) ) ) )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5010]) ).
thf(5029,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 ) ) )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5011]) ).
thf(5030,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) ) ) )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5011]) ).
thf(5031,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 ) ) )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5012]) ).
thf(5032,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) ) ) )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5012]) ).
thf(5033,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 ) ) )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5013]) ).
thf(5034,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) ) ) )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5013]) ).
thf(5035,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 ) ) )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5014]) ).
thf(5036,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) ) ) )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5014]) ).
thf(5037,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 ) ) )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5015]) ).
thf(5038,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) ) ) )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5015]) ).
thf(5039,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 ) ) )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5016]) ).
thf(5040,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) ) ) )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5016]) ).
thf(5041,plain,
! [SV451: $i,SV437: $i,SV420: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV420 )
!= ( sdtasdt0 @ SV437 @ SV451 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV451 ) )
= $true )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5017]) ).
thf(5042,plain,
! [SV452: $i,SV438: $i,SV421: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV421 )
!= ( sdtasdt0 @ SV438 @ SV452 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV452 ) )
= $true )
| ( ( isPrime0 @ SV438 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV438 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5018]) ).
thf(5043,plain,
! [SV453: $i,SV439: $i,SV422: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV422 )
!= ( sdtasdt0 @ SV439 @ SV453 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV453 ) )
= $true )
| ( ( isPrime0 @ SV439 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV439 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5019]) ).
thf(5044,plain,
! [SV454: $i,SV440: $i,SV423: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV423 )
!= ( sdtasdt0 @ SV440 @ SV454 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV454 ) )
= $true )
| ( ( isPrime0 @ SV440 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true )
| ( ( aNaturalNumber0 @ SV423 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV440 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5020]) ).
thf(5045,plain,
! [SV441: $i,SV424: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5021]) ).
thf(5046,plain,
! [SV442: $i,SV425: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ( doDivides0 @ SV442 @ SV425 ) )
= $true )
| ( ( isPrime0 @ SV442 )
= $false )
| ( ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
= $false )
| ( ( aNaturalNumber0 @ SV425 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV442 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5022]) ).
thf(5047,plain,
! [SV443: $i,SV426: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV443 @ SV338 )
| ~ ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) ) )
= $true )
| ( ( isPrime0 @ SV443 )
= $false )
| ( ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
= $false )
| ( ( aNaturalNumber0 @ SV426 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV443 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5023]) ).
thf(5048,plain,
! [SV444: $i,SV427: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV427 ) @ SV444 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV444 @ SV338 )
| ( doDivides0 @ SV444 @ SV427 ) )
= $true )
| ( ( isPrime0 @ SV444 )
= $false )
| ( ( doDivides0 @ SV444 @ ( sdtasdt0 @ SV338 @ SV427 ) )
= $false )
| ( ( aNaturalNumber0 @ SV427 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV444 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5024]) ).
thf(5049,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 ) ) )
= $true )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5025]) ).
thf(5050,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) ) ) )
= $true )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5026]) ).
thf(5051,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 ) ) )
= $true )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5027]) ).
thf(5052,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) ) ) )
= $true )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5028]) ).
thf(5053,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 ) ) )
= $true )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5029]) ).
thf(5054,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) ) ) )
= $true )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5030]) ).
thf(5055,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 ) ) )
= $true )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5031]) ).
thf(5056,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) ) ) )
= $true )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5032]) ).
thf(5057,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 ) ) )
= $true )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5033]) ).
thf(5058,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) ) ) )
= $true )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5034]) ).
thf(5059,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 ) ) )
= $true )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5035]) ).
thf(5060,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) ) ) )
= $true )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5036]) ).
thf(5061,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 ) ) )
= $true )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5037]) ).
thf(5062,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) ) ) )
= $true )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5038]) ).
thf(5063,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 ) ) )
= $true )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5039]) ).
thf(5064,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) ) ) )
= $true )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5040]) ).
thf(5065,plain,
! [SV451: $i,SV437: $i,SV420: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV451 ) )
= $true )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5041]) ).
thf(5066,plain,
! [SV452: $i,SV438: $i,SV421: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV421 )
= ( sdtasdt0 @ SV438 @ SV452 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV452 ) )
= $true )
| ( ( isPrime0 @ SV438 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV438 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5042]) ).
thf(5067,plain,
! [SV453: $i,SV439: $i,SV422: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV422 )
= ( sdtasdt0 @ SV439 @ SV453 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV453 ) )
= $true )
| ( ( isPrime0 @ SV439 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV439 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5043]) ).
thf(5068,plain,
! [SV454: $i,SV440: $i,SV423: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV423 )
= ( sdtasdt0 @ SV440 @ SV454 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV454 ) )
= $true )
| ( ( isPrime0 @ SV440 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true )
| ( ( aNaturalNumber0 @ SV423 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV440 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5044]) ).
thf(5069,plain,
! [SV441: $i,SV424: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5045]) ).
thf(5070,plain,
! [SV442: $i,SV425: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ( doDivides0 @ SV442 @ SV425 ) )
= $true )
| ( ( isPrime0 @ SV442 )
= $false )
| ( ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
= $false )
| ( ( aNaturalNumber0 @ SV425 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV442 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5046]) ).
thf(5071,plain,
! [SV443: $i,SV426: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV443 @ SV338 )
| ~ ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) ) )
= $true )
| ( ( isPrime0 @ SV443 )
= $false )
| ( ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
= $false )
| ( ( aNaturalNumber0 @ SV426 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV443 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5047]) ).
thf(5072,plain,
! [SV444: $i,SV427: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV427 ) @ SV444 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV444 @ SV338 )
| ( doDivides0 @ SV444 @ SV427 ) )
= $true )
| ( ( isPrime0 @ SV444 )
= $false )
| ( ( doDivides0 @ SV444 @ ( sdtasdt0 @ SV338 @ SV427 ) )
= $false )
| ( ( aNaturalNumber0 @ SV427 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV444 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5048]) ).
thf(5073,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 ) )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5049]) ).
thf(5074,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) ) )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5050]) ).
thf(5075,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 ) )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5051]) ).
thf(5076,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) ) )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5052]) ).
thf(5077,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 ) )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5053]) ).
thf(5078,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) ) )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5054]) ).
thf(5079,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 ) )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5055]) ).
thf(5080,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) ) )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5056]) ).
thf(5081,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 ) )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5057]) ).
thf(5082,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) ) )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5058]) ).
thf(5083,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 ) )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5059]) ).
thf(5084,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) ) )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5060]) ).
thf(5085,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 ) )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5061]) ).
thf(5086,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) ) )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5062]) ).
thf(5087,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 ) )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5063]) ).
thf(5088,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) ) )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5064]) ).
thf(5089,plain,
! [SV437: $i,SV420: $i,SV338: $i,SV451: $i] :
( ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5065]) ).
thf(5090,plain,
! [SV438: $i,SV421: $i,SV338: $i,SV452: $i] :
( ( ( aNaturalNumber0 @ SV452 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV421 )
= ( sdtasdt0 @ SV438 @ SV452 ) )
= $false )
| ( ( isPrime0 @ SV438 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV438 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5066]) ).
thf(5091,plain,
! [SV439: $i,SV422: $i,SV338: $i,SV453: $i] :
( ( ( aNaturalNumber0 @ SV453 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV422 )
= ( sdtasdt0 @ SV439 @ SV453 ) )
= $false )
| ( ( isPrime0 @ SV439 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV439 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5067]) ).
thf(5092,plain,
! [SV440: $i,SV423: $i,SV338: $i,SV454: $i] :
( ( ( aNaturalNumber0 @ SV454 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV423 )
= ( sdtasdt0 @ SV440 @ SV454 ) )
= $false )
| ( ( isPrime0 @ SV440 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true )
| ( ( aNaturalNumber0 @ SV423 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV440 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5068]) ).
thf(5093,plain,
! [SV424: $i,SV441: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true )
| ( ( ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5069]) ).
thf(5094,plain,
! [SV425: $i,SV442: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) ) )
= $true )
| ( ( doDivides0 @ SV442 @ SV425 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV442 )
= $false )
| ( ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
= $false )
| ( ( aNaturalNumber0 @ SV425 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV442 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5070]) ).
thf(5095,plain,
! [SV426: $i,SV338: $i,SV443: $i] :
( ( ( doDivides0 @ SV443 @ SV338 )
= $true )
| ( ( ~ ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV443 )
= $false )
| ( ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
= $false )
| ( ( aNaturalNumber0 @ SV426 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV443 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5071]) ).
thf(5096,plain,
! [SV427: $i,SV338: $i,SV444: $i] :
( ( ( doDivides0 @ SV444 @ SV338 )
= $true )
| ( ( doDivides0 @ SV444 @ SV427 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV427 ) @ SV444 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV444 )
= $false )
| ( ( doDivides0 @ SV444 @ ( sdtasdt0 @ SV338 @ SV427 ) )
= $false )
| ( ( aNaturalNumber0 @ SV427 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV444 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5072]) ).
thf(5097,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5073]) ).
thf(5098,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 ) )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5073]) ).
thf(5099,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) ) )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5074]) ).
thf(5100,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) ) )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5074]) ).
thf(5101,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) ) )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5075]) ).
thf(5102,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 ) )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5075]) ).
thf(5103,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) ) )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5076]) ).
thf(5104,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) ) )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5076]) ).
thf(5105,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5077]) ).
thf(5106,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 ) )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5077]) ).
thf(5107,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) ) )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5078]) ).
thf(5108,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) ) )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5078]) ).
thf(5109,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) ) )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5079]) ).
thf(5110,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 ) )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5079]) ).
thf(5111,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) ) )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5080]) ).
thf(5112,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) ) )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5080]) ).
thf(5113,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5081]) ).
thf(5114,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 ) )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5081]) ).
thf(5115,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) ) )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5082]) ).
thf(5116,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) ) )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5082]) ).
thf(5117,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) ) )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5083]) ).
thf(5118,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 ) )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5083]) ).
thf(5119,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) ) )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5084]) ).
thf(5120,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) ) )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5084]) ).
thf(5121,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5085]) ).
thf(5122,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 ) )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5085]) ).
thf(5123,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) ) )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5086]) ).
thf(5124,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) ) )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5086]) ).
thf(5125,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) ) )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5087]) ).
thf(5126,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 ) )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5087]) ).
thf(5127,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) ) )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5088]) ).
thf(5128,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) ) )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5088]) ).
thf(5129,plain,
! [SV451: $i,SV437: $i,SV420: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5089]) ).
thf(5130,plain,
! [SV452: $i,SV438: $i,SV421: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true )
| ( ( isPrime0 @ SV438 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV421 )
= ( sdtasdt0 @ SV438 @ SV452 ) )
= $false )
| ( ( aNaturalNumber0 @ SV452 )
= $false )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV438 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5090]) ).
thf(5131,plain,
! [SV453: $i,SV439: $i,SV422: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true )
| ( ( isPrime0 @ SV439 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV422 )
= ( sdtasdt0 @ SV439 @ SV453 ) )
= $false )
| ( ( aNaturalNumber0 @ SV453 )
= $false )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV439 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5091]) ).
thf(5132,plain,
! [SV454: $i,SV440: $i,SV423: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true )
| ( ( isPrime0 @ SV440 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV423 )
= ( sdtasdt0 @ SV440 @ SV454 ) )
= $false )
| ( ( aNaturalNumber0 @ SV454 )
= $false )
| ( ( aNaturalNumber0 @ SV423 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV440 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5092]) ).
thf(5133,plain,
! [SV424: $i,SV441: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5093]) ).
thf(5134,plain,
! [SV425: $i,SV442: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV442 @ SV425 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV442 )
= $false )
| ( ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
= $false )
| ( ( aNaturalNumber0 @ SV425 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV442 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5094]) ).
thf(5135,plain,
! [SV338: $i,SV443: $i,SV426: $i] :
( ( ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV443 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV443 )
= $false )
| ( ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
= $false )
| ( ( aNaturalNumber0 @ SV426 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV443 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5095]) ).
thf(5136,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5097]) ).
thf(5137,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5098]) ).
thf(5138,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= sz10 ) )
= $true )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5099]) ).
thf(5139,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
!= SV429 ) )
= $true )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5100]) ).
thf(5140,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) ) )
= $true )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5101]) ).
thf(5141,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 )
= $true )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5102]) ).
thf(5142,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= sz10 ) )
= $true )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5103]) ).
thf(5143,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
!= SV430 ) )
= $true )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5104]) ).
thf(5144,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5105]) ).
thf(5145,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 )
= $true )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5106]) ).
thf(5146,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= sz10 ) )
= $true )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5107]) ).
thf(5147,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
!= SV431 ) )
= $true )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5108]) ).
thf(5148,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) ) )
= $true )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5109]) ).
thf(5149,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 )
= $true )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5110]) ).
thf(5150,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= sz10 ) )
= $true )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5111]) ).
thf(5151,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
!= SV432 ) )
= $true )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5112]) ).
thf(5152,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5113]) ).
thf(5153,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5114]) ).
thf(5154,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= sz10 ) )
= $true )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5115]) ).
thf(5155,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
!= SV433 ) )
= $true )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5116]) ).
thf(5156,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) ) )
= $true )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5117]) ).
thf(5157,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 )
= $true )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5118]) ).
thf(5158,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= sz10 ) )
= $true )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5119]) ).
thf(5159,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
!= SV434 ) )
= $true )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5120]) ).
thf(5160,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5121]) ).
thf(5161,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 )
= $true )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5122]) ).
thf(5162,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= sz10 ) )
= $true )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5123]) ).
thf(5163,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
!= SV435 ) )
= $true )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5124]) ).
thf(5164,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) ) )
= $true )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5125]) ).
thf(5165,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 )
= $true )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5126]) ).
thf(5166,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= sz10 ) )
= $true )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5127]) ).
thf(5167,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
!= SV436 ) )
= $true )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5128]) ).
thf(5168,plain,
! [SV451: $i,SV437: $i,SV420: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5129]) ).
thf(5169,plain,
! [SV452: $i,SV438: $i,SV421: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ( doDivides0 @ SV438 @ SV421 ) )
= $true )
| ( ( isPrime0 @ SV438 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV421 )
= ( sdtasdt0 @ SV438 @ SV452 ) )
= $false )
| ( ( aNaturalNumber0 @ SV452 )
= $false )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV438 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5130]) ).
thf(5170,plain,
! [SV453: $i,SV439: $i,SV422: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV439 @ SV338 )
| ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true )
| ( ( isPrime0 @ SV439 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV422 )
= ( sdtasdt0 @ SV439 @ SV453 ) )
= $false )
| ( ( aNaturalNumber0 @ SV453 )
= $false )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV439 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5131]) ).
thf(5171,plain,
! [SV454: $i,SV440: $i,SV423: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV440 @ SV338 )
| ( doDivides0 @ SV440 @ SV423 ) )
= $true )
| ( ( isPrime0 @ SV440 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV423 )
= ( sdtasdt0 @ SV440 @ SV454 ) )
= $false )
| ( ( aNaturalNumber0 @ SV454 )
= $false )
| ( ( aNaturalNumber0 @ SV423 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV440 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5132]) ).
thf(5172,plain,
! [SV424: $i,SV441: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $false )
| ( ( ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5133]) ).
thf(5173,plain,
! [SV338: $i,SV424: $i,SV441: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5133]) ).
thf(5174,plain,
! [SV425: $i,SV442: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV442 @ SV425 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV442 )
= $false )
| ( ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
= $false )
| ( ( aNaturalNumber0 @ SV425 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV442 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5134]) ).
thf(5175,plain,
! [SV338: $i,SV425: $i,SV442: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV442 @ SV425 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV442 )
= $false )
| ( ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
= $false )
| ( ( aNaturalNumber0 @ SV425 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV442 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5134]) ).
thf(5176,plain,
! [SV338: $i,SV443: $i,SV426: $i] :
( ( ( ( SV426
!= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV443 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV443 )
= $false )
| ( ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
= $false )
| ( ( aNaturalNumber0 @ SV426 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV443 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5135]) ).
thf(5177,plain,
! [SV338: $i,SV426: $i,SV443: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV443 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV443 )
= $false )
| ( ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
= $false )
| ( ( aNaturalNumber0 @ SV426 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV443 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5135]) ).
thf(5178,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5136]) ).
thf(5179,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5137]) ).
thf(5180,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5138]) ).
thf(5181,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5139]) ).
thf(5182,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5140]) ).
thf(5183,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5141]) ).
thf(5184,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= sz10 )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5142]) ).
thf(5185,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= SV430 )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5143]) ).
thf(5186,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5144]) ).
thf(5187,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5145]) ).
thf(5188,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= sz10 )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5146]) ).
thf(5189,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= SV431 )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5147]) ).
thf(5190,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5148]) ).
thf(5191,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5149]) ).
thf(5192,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= sz10 )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5150]) ).
thf(5193,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= SV432 )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5151]) ).
thf(5194,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5152]) ).
thf(5195,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5153]) ).
thf(5196,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5154]) ).
thf(5197,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5155]) ).
thf(5198,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5156]) ).
thf(5199,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5157]) ).
thf(5200,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= sz10 )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5158]) ).
thf(5201,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= SV434 )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5159]) ).
thf(5202,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5160]) ).
thf(5203,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5161]) ).
thf(5204,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= sz10 )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5162]) ).
thf(5205,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= SV435 )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5163]) ).
thf(5206,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5164]) ).
thf(5207,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5165]) ).
thf(5208,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
= sz10 )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5166]) ).
thf(5209,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
= SV436 )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5167]) ).
thf(5210,plain,
! [SV451: $i,SV420: $i,SV437: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5168]) ).
thf(5211,plain,
! [SV452: $i,SV421: $i,SV438: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) ) )
= $true )
| ( ( doDivides0 @ SV438 @ SV421 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV438 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV421 )
= ( sdtasdt0 @ SV438 @ SV452 ) )
= $false )
| ( ( aNaturalNumber0 @ SV452 )
= $false )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV438 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5169]) ).
thf(5212,plain,
! [SV453: $i,SV422: $i,SV338: $i,SV439: $i] :
( ( ( doDivides0 @ SV439 @ SV338 )
= $true )
| ( ( ~ ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV439 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV422 )
= ( sdtasdt0 @ SV439 @ SV453 ) )
= $false )
| ( ( aNaturalNumber0 @ SV453 )
= $false )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV439 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5170]) ).
thf(5213,plain,
! [SV454: $i,SV423: $i,SV338: $i,SV440: $i] :
( ( ( doDivides0 @ SV440 @ SV338 )
= $true )
| ( ( doDivides0 @ SV440 @ SV423 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV423 ) @ SV440 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV440 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV423 )
= ( sdtasdt0 @ SV440 @ SV454 ) )
= $false )
| ( ( aNaturalNumber0 @ SV454 )
= $false )
| ( ( aNaturalNumber0 @ SV423 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV440 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5171]) ).
thf(5214,plain,
! [SV424: $i,SV441: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
= $true )
| ( ( ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5172]) ).
thf(5215,plain,
! [SV338: $i,SV424: $i,SV441: $i] :
( ( ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) )
= $true )
| ( ( ~ ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5173]) ).
thf(5216,plain,
! [SV425: $i,SV442: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV442 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV442 @ SV425 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV442 )
= $false )
| ( ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
= $false )
| ( ( aNaturalNumber0 @ SV425 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV442 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5174]) ).
thf(5217,plain,
! [SV338: $i,SV425: $i,SV442: $i] :
( ( ( aNaturalNumber0 @ ( sK10_W3 @ SV442 @ SV425 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV442 @ SV425 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV425 ) @ SV442 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV442 )
= $false )
| ( ( doDivides0 @ SV442 @ ( sdtasdt0 @ SV338 @ SV425 ) )
= $false )
| ( ( aNaturalNumber0 @ SV425 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV442 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5175]) ).
thf(5218,plain,
! [SV338: $i,SV443: $i,SV426: $i] :
( ( ( SV426
= ( sdtasdt0 @ SV443 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV443 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV443 )
= $false )
| ( ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
= $false )
| ( ( aNaturalNumber0 @ SV426 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV443 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5176]) ).
thf(5219,plain,
! [SV338: $i,SV426: $i,SV443: $i] :
( ( ( aNaturalNumber0 @ ( sK9_W3 @ SV443 @ SV426 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV443 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV426 ) @ SV443 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV443 )
= $false )
| ( ( doDivides0 @ SV443 @ ( sdtasdt0 @ SV338 @ SV426 ) )
= $false )
| ( ( aNaturalNumber0 @ SV426 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV443 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5177]) ).
thf(5220,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5178]) ).
thf(5221,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5178]) ).
thf(5222,plain,
! [SV455: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SV455 ) )
| ~ ( aNaturalNumber0 @ SV455 ) )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5179]) ).
thf(5223,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5180]) ).
thf(5224,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5181]) ).
thf(5225,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) ) )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5182]) ).
thf(5226,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5182]) ).
thf(5227,plain,
! [SV456: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SV456 ) )
| ~ ( aNaturalNumber0 @ SV456 ) )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5183]) ).
thf(5228,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= sz10 )
= $false )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5184]) ).
thf(5229,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= SV430 )
= $false )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5185]) ).
thf(5230,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) ) )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5186]) ).
thf(5231,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5186]) ).
thf(5232,plain,
! [SV457: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SV457 ) )
| ~ ( aNaturalNumber0 @ SV457 ) )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5187]) ).
thf(5233,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= sz10 )
= $false )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5188]) ).
thf(5234,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= SV431 )
= $false )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5189]) ).
thf(5235,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) ) )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5190]) ).
thf(5236,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) ) )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5190]) ).
thf(5237,plain,
! [SV458: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SV458 ) )
| ~ ( aNaturalNumber0 @ SV458 ) )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5191]) ).
thf(5238,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= sz10 )
= $false )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5192]) ).
thf(5239,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= SV432 )
= $false )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5193]) ).
thf(5240,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5194]) ).
thf(5241,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5194]) ).
thf(5242,plain,
! [SV416: $i,SV338: $i,SV433: $i] :
( ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5195]) ).
thf(5243,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5196]) ).
thf(5244,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5197]) ).
thf(5245,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) ) )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5198]) ).
thf(5246,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5198]) ).
thf(5247,plain,
! [SV417: $i,SV338: $i,SV434: $i] :
( ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5199]) ).
thf(5248,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5200]) ).
thf(5249,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= SV434 )
= $false )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5201]) ).
thf(5250,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) ) )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5202]) ).
thf(5251,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5202]) ).
thf(5252,plain,
! [SV418: $i,SV338: $i,SV435: $i] :
( ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5203]) ).
thf(5253,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5204]) ).
thf(5254,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= SV435 )
= $false )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5205]) ).
thf(5255,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) ) )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5206]) ).
thf(5256,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) ) )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5206]) ).
thf(5257,plain,
! [SV419: $i,SV338: $i,SV436: $i] :
( ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5207]) ).
thf(5258,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5208]) ).
thf(5259,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
= SV436 )
= $false )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5209]) ).
thf(5260,plain,
! [SV451: $i,SV420: $i,SV437: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5210]) ).
thf(5261,plain,
! [SV452: $i,SV421: $i,SV438: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV438 @ SV421 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV438 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV421 )
= ( sdtasdt0 @ SV438 @ SV452 ) )
= $false )
| ( ( aNaturalNumber0 @ SV452 )
= $false )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV438 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5211]) ).
thf(5262,plain,
! [SV453: $i,SV338: $i,SV439: $i,SV422: $i] :
( ( ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV439 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV439 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV422 )
= ( sdtasdt0 @ SV439 @ SV453 ) )
= $false )
| ( ( aNaturalNumber0 @ SV453 )
= $false )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV439 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5212]) ).
thf(5263,plain,
! [SV338: $i,SV441: $i,SV424: $i] :
( ( ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5214]) ).
thf(5264,plain,
! [SV338: $i,SV441: $i,SV424: $i] :
( ( ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5215]) ).
thf(5265,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5220]) ).
thf(5266,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5221]) ).
thf(5267,plain,
! [SV455: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SV455 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV455 ) )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5222]) ).
thf(5268,plain,
! [SV459: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SV459 ) )
| ~ ( aNaturalNumber0 @ SV459 ) )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5223]) ).
thf(5269,plain,
! [SV460: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SV460 ) )
| ~ ( aNaturalNumber0 @ SV460 ) )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5224]) ).
thf(5270,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) ) )
= $true )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5225]) ).
thf(5271,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5226]) ).
thf(5272,plain,
! [SV456: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SV456 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV456 ) )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5227]) ).
thf(5273,plain,
! [SV461: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SV461 ) )
| ~ ( aNaturalNumber0 @ SV461 ) )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= sz10 )
= $false )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5228]) ).
thf(5274,plain,
! [SV462: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SV462 ) )
| ~ ( aNaturalNumber0 @ SV462 ) )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= SV430 )
= $false )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5229]) ).
thf(5275,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5230]) ).
thf(5276,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5231]) ).
thf(5277,plain,
! [SV457: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SV457 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV457 ) )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5232]) ).
thf(5278,plain,
! [SV463: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SV463 ) )
| ~ ( aNaturalNumber0 @ SV463 ) )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= sz10 )
= $false )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5233]) ).
thf(5279,plain,
! [SV464: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SV464 ) )
| ~ ( aNaturalNumber0 @ SV464 ) )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= SV431 )
= $false )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5234]) ).
thf(5280,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) ) )
= $true )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5235]) ).
thf(5281,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5236]) ).
thf(5282,plain,
! [SV458: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SV458 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV458 ) )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5237]) ).
thf(5283,plain,
! [SV465: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SV465 ) )
| ~ ( aNaturalNumber0 @ SV465 ) )
= $true )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= sz10 )
= $false )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5238]) ).
thf(5284,plain,
! [SV466: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SV466 ) )
| ~ ( aNaturalNumber0 @ SV466 ) )
= $true )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= SV432 )
= $false )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5239]) ).
thf(5285,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5240]) ).
thf(5286,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5241]) ).
thf(5287,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5242]) ).
thf(5288,plain,
! [SV416: $i,SV338: $i,SV433: $i] :
( ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5243]) ).
thf(5289,plain,
! [SV416: $i,SV338: $i,SV433: $i] :
( ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5244]) ).
thf(5290,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) ) )
= $true )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5245]) ).
thf(5291,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5246]) ).
thf(5292,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5247]) ).
thf(5293,plain,
! [SV417: $i,SV338: $i,SV434: $i] :
( ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= sz10 )
= $false )
| ( ( SV434 = sz10 )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5248]) ).
thf(5294,plain,
! [SV417: $i,SV338: $i,SV434: $i] :
( ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= SV434 )
= $false )
| ( ( SV434 = sz10 )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5249]) ).
thf(5295,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5250]) ).
thf(5296,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5251]) ).
thf(5297,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5252]) ).
thf(5298,plain,
! [SV418: $i,SV338: $i,SV435: $i] :
( ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= sz10 )
= $false )
| ( ( SV435 = sz10 )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5253]) ).
thf(5299,plain,
! [SV418: $i,SV338: $i,SV435: $i] :
( ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= SV435 )
= $false )
| ( ( SV435 = sz10 )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5254]) ).
thf(5300,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) ) )
= $true )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5255]) ).
thf(5301,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) )
= $true )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5256]) ).
thf(5302,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 )
= $true )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5257]) ).
thf(5303,plain,
! [SV419: $i,SV338: $i,SV436: $i] :
( ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
= sz10 )
= $false )
| ( ( SV436 = sz10 )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5258]) ).
thf(5304,plain,
! [SV419: $i,SV338: $i,SV436: $i] :
( ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
= SV436 )
= $false )
| ( ( SV436 = sz10 )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5259]) ).
thf(5305,plain,
! [SV451: $i,SV420: $i,SV437: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $false )
| ( ( ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5260]) ).
thf(5306,plain,
! [SV451: $i,SV338: $i,SV420: $i,SV437: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5260]) ).
thf(5307,plain,
! [SV452: $i,SV421: $i,SV438: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV438 @ SV421 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV438 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV421 )
= ( sdtasdt0 @ SV438 @ SV452 ) )
= $false )
| ( ( aNaturalNumber0 @ SV452 )
= $false )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV438 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5261]) ).
thf(5308,plain,
! [SV452: $i,SV338: $i,SV421: $i,SV438: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV438 @ SV421 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV438 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV421 )
= ( sdtasdt0 @ SV438 @ SV452 ) )
= $false )
| ( ( aNaturalNumber0 @ SV452 )
= $false )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV438 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5261]) ).
thf(5309,plain,
! [SV453: $i,SV338: $i,SV439: $i,SV422: $i] :
( ( ( ( SV422
!= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV439 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV439 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV422 )
= ( sdtasdt0 @ SV439 @ SV453 ) )
= $false )
| ( ( aNaturalNumber0 @ SV453 )
= $false )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV439 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5262]) ).
thf(5310,plain,
! [SV453: $i,SV338: $i,SV422: $i,SV439: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV439 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV439 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV422 )
= ( sdtasdt0 @ SV439 @ SV453 ) )
= $false )
| ( ( aNaturalNumber0 @ SV453 )
= $false )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV439 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5262]) ).
thf(5311,plain,
! [SV338: $i,SV441: $i,SV424: $i] :
( ( ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5263]) ).
thf(5312,plain,
! [SV338: $i,SV424: $i,SV441: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5263]) ).
thf(5313,plain,
! [SV338: $i,SV441: $i,SV424: $i] :
( ( ( ( SV424
!= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5264]) ).
thf(5314,plain,
! [SV338: $i,SV424: $i,SV441: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5264]) ).
thf(5315,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5265]) ).
thf(5316,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5266]) ).
thf(5317,plain,
! [SV455: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV455 ) )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5267]) ).
thf(5318,plain,
! [SV459: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SV459 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV459 ) )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5268]) ).
thf(5319,plain,
! [SV460: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SV460 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV460 ) )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5269]) ).
thf(5320,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5270]) ).
thf(5321,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5271]) ).
thf(5322,plain,
! [SV456: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV456 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV456 ) )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5272]) ).
thf(5323,plain,
! [SV461: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SV461 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV461 ) )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= sz10 )
= $false )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5273]) ).
thf(5324,plain,
! [SV462: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SV462 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV462 ) )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= SV430 )
= $false )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5274]) ).
thf(5325,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5275]) ).
thf(5326,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5276]) ).
thf(5327,plain,
! [SV457: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV457 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV457 ) )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5277]) ).
thf(5328,plain,
! [SV463: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SV463 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV463 ) )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= sz10 )
= $false )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5278]) ).
thf(5329,plain,
! [SV464: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SV464 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV464 ) )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= SV431 )
= $false )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5279]) ).
thf(5330,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5280]) ).
thf(5331,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5281]) ).
thf(5332,plain,
! [SV458: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV458 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV458 ) )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5282]) ).
thf(5333,plain,
! [SV465: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SV465 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV465 ) )
= $true )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= sz10 )
= $false )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5283]) ).
thf(5334,plain,
! [SV466: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SV466 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV466 ) )
= $true )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= SV432 )
= $false )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5284]) ).
thf(5335,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5285]) ).
thf(5336,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5286]) ).
thf(5337,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5287]) ).
thf(5338,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5288]) ).
thf(5339,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5289]) ).
thf(5340,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5290]) ).
thf(5341,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5291]) ).
thf(5342,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5292]) ).
thf(5343,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5293]) ).
thf(5344,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= SV434 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5294]) ).
thf(5345,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5295]) ).
thf(5346,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5296]) ).
thf(5347,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5297]) ).
thf(5348,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5298]) ).
thf(5349,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= SV435 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5299]) ).
thf(5350,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5300]) ).
thf(5351,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5301]) ).
thf(5352,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 )
= $true )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5302]) ).
thf(5353,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5303]) ).
thf(5354,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
= SV436 )
= $false )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5304]) ).
thf(5355,plain,
! [SV451: $i,SV420: $i,SV437: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
= $true )
| ( ( ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5305]) ).
thf(5356,plain,
! [SV451: $i,SV338: $i,SV420: $i,SV437: $i] :
( ( ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) )
= $true )
| ( ( ~ ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5306]) ).
thf(5357,plain,
! [SV452: $i,SV421: $i,SV438: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV438 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV438 @ SV421 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV438 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV421 )
= ( sdtasdt0 @ SV438 @ SV452 ) )
= $false )
| ( ( aNaturalNumber0 @ SV452 )
= $false )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV438 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5307]) ).
thf(5358,plain,
! [SV452: $i,SV338: $i,SV421: $i,SV438: $i] :
( ( ( aNaturalNumber0 @ ( sK14_W3 @ SV438 @ SV421 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV438 @ SV421 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV421 ) @ SV438 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV438 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV421 )
= ( sdtasdt0 @ SV438 @ SV452 ) )
= $false )
| ( ( aNaturalNumber0 @ SV452 )
= $false )
| ( ( aNaturalNumber0 @ SV421 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV438 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5308]) ).
thf(5359,plain,
! [SV453: $i,SV338: $i,SV439: $i,SV422: $i] :
( ( ( SV422
= ( sdtasdt0 @ SV439 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV439 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV439 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV422 )
= ( sdtasdt0 @ SV439 @ SV453 ) )
= $false )
| ( ( aNaturalNumber0 @ SV453 )
= $false )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV439 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5309]) ).
thf(5360,plain,
! [SV453: $i,SV338: $i,SV422: $i,SV439: $i] :
( ( ( aNaturalNumber0 @ ( sK13_W3 @ SV439 @ SV422 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV439 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV422 ) @ SV439 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV439 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV422 )
= ( sdtasdt0 @ SV439 @ SV453 ) )
= $false )
| ( ( aNaturalNumber0 @ SV453 )
= $false )
| ( ( aNaturalNumber0 @ SV422 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV439 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5310]) ).
thf(5361,plain,
! [SV338: $i,SV441: $i,SV424: $i] :
( ( ( SV424
= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5311]) ).
thf(5362,plain,
! [SV338: $i,SV424: $i,SV441: $i] :
( ( ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV441 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5312]) ).
thf(5363,plain,
! [SV338: $i,SV441: $i,SV424: $i] :
( ( ( SV424
= ( sdtasdt0 @ SV441 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5313]) ).
thf(5364,plain,
! [SV338: $i,SV424: $i,SV441: $i] :
( ( ( aNaturalNumber0 @ ( sK11_W3 @ SV441 @ SV424 @ SV338 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV441 @ SV424 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV424 ) @ SV441 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV441 )
= $false )
| ( ( doDivides0 @ SV441 @ ( sdtasdt0 @ SV338 @ SV424 ) )
= $false )
| ( ( aNaturalNumber0 @ SV424 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV441 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5314]) ).
thf(5365,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ( SV429
!= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5315]) ).
thf(5366,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5315]) ).
thf(5367,plain,
! [SV467: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SV467 ) )
| ~ ( aNaturalNumber0 @ SV467 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5316]) ).
thf(5368,plain,
! [SV429: $i,SV412: $i,SV338: $i,SV455: $i] :
( ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5317]) ).
thf(5369,plain,
! [SV459: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV459 ) )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5318]) ).
thf(5370,plain,
! [SV460: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV460 ) )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5319]) ).
thf(5371,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ( SV430
!= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) ) )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5320]) ).
thf(5372,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5320]) ).
thf(5373,plain,
! [SV468: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SV468 ) )
| ~ ( aNaturalNumber0 @ SV468 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5321]) ).
thf(5374,plain,
! [SV430: $i,SV413: $i,SV338: $i,SV456: $i] :
( ( ( aNaturalNumber0 @ SV456 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV456 ) )
= $false )
| ( ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5322]) ).
thf(5375,plain,
! [SV461: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV461 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV461 ) )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= sz10 )
= $false )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5323]) ).
thf(5376,plain,
! [SV462: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV462 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV462 ) )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= SV430 )
= $false )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5324]) ).
thf(5377,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ( SV431
!= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) ) )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5325]) ).
thf(5378,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5325]) ).
thf(5379,plain,
! [SV469: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SV469 ) )
| ~ ( aNaturalNumber0 @ SV469 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5326]) ).
thf(5380,plain,
! [SV431: $i,SV414: $i,SV338: $i,SV457: $i] :
( ( ( aNaturalNumber0 @ SV457 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV457 ) )
= $false )
| ( ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5327]) ).
thf(5381,plain,
! [SV463: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV463 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV463 ) )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= sz10 )
= $false )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5328]) ).
thf(5382,plain,
! [SV464: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV464 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV464 ) )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= SV431 )
= $false )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5329]) ).
thf(5383,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ( SV432
!= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) ) )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5330]) ).
thf(5384,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
= $false )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5330]) ).
thf(5385,plain,
! [SV470: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SV470 ) )
| ~ ( aNaturalNumber0 @ SV470 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5331]) ).
thf(5386,plain,
! [SV432: $i,SV415: $i,SV338: $i,SV458: $i] :
( ( ( aNaturalNumber0 @ SV458 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV458 ) )
= $false )
| ( ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5332]) ).
thf(5387,plain,
! [SV465: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV465 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV465 ) )
= $true )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= sz10 )
= $false )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5333]) ).
thf(5388,plain,
! [SV466: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV466 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV466 ) )
= $true )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= SV432 )
= $false )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5334]) ).
thf(5389,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ( SV433
!= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5335]) ).
thf(5390,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5335]) ).
thf(5391,plain,
! [SV416: $i,SV338: $i,SV433: $i] :
( ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5336]) ).
thf(5392,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5337]) ).
thf(5393,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5338]) ).
thf(5394,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5339]) ).
thf(5395,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ( SV434
!= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) ) )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5340]) ).
thf(5396,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5340]) ).
thf(5397,plain,
! [SV417: $i,SV338: $i,SV434: $i] :
( ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5341]) ).
thf(5398,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5342]) ).
thf(5399,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5343]) ).
thf(5400,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= SV434 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5344]) ).
thf(5401,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ( SV435
!= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) ) )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5345]) ).
thf(5402,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5345]) ).
thf(5403,plain,
! [SV418: $i,SV338: $i,SV435: $i] :
( ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5346]) ).
thf(5404,plain,
! [SV418: $i,SV338: $i,SV435: $i] :
( ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5347]) ).
thf(5405,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5348]) ).
thf(5406,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= SV435 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5349]) ).
thf(5407,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ( SV436
!= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) ) )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5350]) ).
thf(5408,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
= $false )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5350]) ).
thf(5409,plain,
! [SV419: $i,SV338: $i,SV436: $i] :
( ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5351]) ).
thf(5410,plain,
! [SV419: $i,SV338: $i,SV436: $i] :
( ( ( doDivides0 @ SV436 @ SV338 )
= $true )
| ( ( doDivides0 @ SV436 @ SV419 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ SV436 )
= $true )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5352]) ).
thf(5411,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5353]) ).
thf(5412,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
= SV436 )
= $false )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5354]) ).
thf(5413,plain,
! [SV451: $i,SV338: $i,SV437: $i,SV420: $i] :
( ( ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5355]) ).
thf(5414,plain,
! [SV451: $i,SV338: $i,SV437: $i,SV420: $i] :
( ( ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5356]) ).
thf(5415,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5365]) ).
thf(5416,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( SV429 = sz00 )
| ( SV429 = sz10 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5366]) ).
thf(5417,plain,
! [SV467: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SV467 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV467 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5367]) ).
thf(5418,plain,
! [SV455: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5368]) ).
thf(5419,plain,
! [SV429: $i,SV412: $i,SV338: $i,SV459: $i] :
( ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5369]) ).
thf(5420,plain,
! [SV429: $i,SV412: $i,SV338: $i,SV460: $i] :
( ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5370]) ).
thf(5421,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( SV430
= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5371]) ).
thf(5422,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( SV430 = sz00 )
| ( SV430 = sz10 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5372]) ).
thf(5423,plain,
! [SV468: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SV468 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV468 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5373]) ).
thf(5424,plain,
! [SV456: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV456 ) )
= $false )
| ( ( aNaturalNumber0 @ SV456 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5374]) ).
thf(5425,plain,
! [SV430: $i,SV413: $i,SV338: $i,SV461: $i] :
( ( ( aNaturalNumber0 @ SV461 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV461 ) )
= $false )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= sz10 )
= $false )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5375]) ).
thf(5426,plain,
! [SV430: $i,SV413: $i,SV338: $i,SV462: $i] :
( ( ( aNaturalNumber0 @ SV462 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV462 ) )
= $false )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= SV430 )
= $false )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5376]) ).
thf(5427,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( SV431
= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5377]) ).
thf(5428,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( SV431 = sz00 )
| ( SV431 = sz10 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5378]) ).
thf(5429,plain,
! [SV469: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SV469 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV469 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5379]) ).
thf(5430,plain,
! [SV457: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV457 ) )
= $false )
| ( ( aNaturalNumber0 @ SV457 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5380]) ).
thf(5431,plain,
! [SV431: $i,SV414: $i,SV338: $i,SV463: $i] :
( ( ( aNaturalNumber0 @ SV463 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV463 ) )
= $false )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= sz10 )
= $false )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5381]) ).
thf(5432,plain,
! [SV431: $i,SV414: $i,SV338: $i,SV464: $i] :
( ( ( aNaturalNumber0 @ SV464 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV464 ) )
= $false )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= SV431 )
= $false )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5382]) ).
thf(5433,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( SV432
= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
= $true )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5383]) ).
thf(5434,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( ( SV432 = sz00 )
| ( SV432 = sz10 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5384]) ).
thf(5435,plain,
! [SV470: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SV470 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV470 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5385]) ).
thf(5436,plain,
! [SV458: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV458 ) )
= $false )
| ( ( aNaturalNumber0 @ SV458 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5386]) ).
thf(5437,plain,
! [SV432: $i,SV415: $i,SV338: $i,SV465: $i] :
( ( ( aNaturalNumber0 @ SV465 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV465 ) )
= $false )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= sz10 )
= $false )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5387]) ).
thf(5438,plain,
! [SV432: $i,SV415: $i,SV338: $i,SV466: $i] :
( ( ( aNaturalNumber0 @ SV466 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV466 ) )
= $false )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= SV432 )
= $false )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5388]) ).
thf(5439,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5389]) ).
thf(5440,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( ( SV433 = sz00 )
| ( SV433 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5390]) ).
thf(5441,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5391]) ).
thf(5442,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5392]) ).
thf(5443,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5393]) ).
thf(5444,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5394]) ).
thf(5445,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( SV434
= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5395]) ).
thf(5446,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( ( SV434 = sz00 )
| ( SV434 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5396]) ).
thf(5447,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5397]) ).
thf(5448,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5398]) ).
thf(5449,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5399]) ).
thf(5450,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= SV434 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5400]) ).
thf(5451,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( SV435
= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5401]) ).
thf(5452,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( ( SV435 = sz00 )
| ( SV435 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5402]) ).
thf(5453,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5403]) ).
thf(5454,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5404]) ).
thf(5455,plain,
! [SV418: $i,SV338: $i,SV435: $i] :
( ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5405]) ).
thf(5456,plain,
! [SV418: $i,SV338: $i,SV435: $i] :
( ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= SV435 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5406]) ).
thf(5457,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( SV436
= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
= $true )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5407]) ).
thf(5458,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) )
= $true )
| ( ( ( SV436 = sz00 )
| ( SV436 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5408]) ).
thf(5459,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5409]) ).
thf(5460,plain,
! [SV419: $i,SV338: $i,SV436: $i] :
( ( ( doDivides0 @ SV436 @ SV338 )
= $true )
| ( ( doDivides0 @ SV436 @ SV419 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5411]) ).
thf(5461,plain,
! [SV419: $i,SV338: $i,SV436: $i] :
( ( ( doDivides0 @ SV436 @ SV338 )
= $true )
| ( ( doDivides0 @ SV436 @ SV419 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV436 @ SV419 @ SV338 )
= SV436 )
= $false )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5412]) ).
thf(5462,plain,
! [SV451: $i,SV338: $i,SV437: $i,SV420: $i] :
( ( ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5413]) ).
thf(5463,plain,
! [SV451: $i,SV338: $i,SV420: $i,SV437: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5413]) ).
thf(5464,plain,
! [SV451: $i,SV338: $i,SV437: $i,SV420: $i] :
( ( ( ( SV420
!= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5414]) ).
thf(5465,plain,
! [SV451: $i,SV338: $i,SV420: $i,SV437: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5414]) ).
thf(5466,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5415]) ).
thf(5467,plain,
! [SV338: $i,SV412: $i,SV429: $i] :
( ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ! [SY531: $i] :
( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SY531 ) )
| ~ ( aNaturalNumber0 @ SY531 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5416]) ).
thf(5468,plain,
! [SV467: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV467 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5417]) ).
thf(5469,plain,
! [SV455: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5418]) ).
thf(5470,plain,
! [SV459: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5419]) ).
thf(5471,plain,
! [SV460: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5420]) ).
thf(5472,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430
= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5421]) ).
thf(5473,plain,
! [SV338: $i,SV413: $i,SV430: $i] :
( ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ! [SY532: $i] :
( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SY532 ) )
| ~ ( aNaturalNumber0 @ SY532 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5422]) ).
thf(5474,plain,
! [SV468: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV468 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV468 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5423]) ).
thf(5475,plain,
! [SV456: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV456 ) )
= $false )
| ( ( aNaturalNumber0 @ SV456 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5424]) ).
thf(5476,plain,
! [SV461: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV461 ) )
= $false )
| ( ( aNaturalNumber0 @ SV461 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5425]) ).
thf(5477,plain,
! [SV462: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= SV430 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV462 ) )
= $false )
| ( ( aNaturalNumber0 @ SV462 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5426]) ).
thf(5478,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431
= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5427]) ).
thf(5479,plain,
! [SV338: $i,SV414: $i,SV431: $i] :
( ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ! [SY533: $i] :
( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SY533 ) )
| ~ ( aNaturalNumber0 @ SY533 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5428]) ).
thf(5480,plain,
! [SV469: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV469 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV469 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5429]) ).
thf(5481,plain,
! [SV457: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV457 ) )
= $false )
| ( ( aNaturalNumber0 @ SV457 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5430]) ).
thf(5482,plain,
! [SV463: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV463 ) )
= $false )
| ( ( aNaturalNumber0 @ SV463 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5431]) ).
thf(5483,plain,
! [SV464: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= SV431 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV464 ) )
= $false )
| ( ( aNaturalNumber0 @ SV464 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5432]) ).
thf(5484,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432
= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5433]) ).
thf(5485,plain,
! [SV338: $i,SV415: $i,SV432: $i] :
( ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( ! [SY534: $i] :
( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SY534 ) )
| ~ ( aNaturalNumber0 @ SY534 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5434]) ).
thf(5486,plain,
! [SV470: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV470 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV470 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5435]) ).
thf(5487,plain,
! [SV458: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV458 ) )
= $false )
| ( ( aNaturalNumber0 @ SV458 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5436]) ).
thf(5488,plain,
! [SV465: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV465 ) )
= $false )
| ( ( aNaturalNumber0 @ SV465 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5437]) ).
thf(5489,plain,
! [SV466: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= SV432 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV466 ) )
= $false )
| ( ( aNaturalNumber0 @ SV466 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5438]) ).
thf(5490,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5439]) ).
thf(5491,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5440]) ).
thf(5492,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5441]) ).
thf(5493,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5442]) ).
thf(5494,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5442]) ).
thf(5495,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5443]) ).
thf(5496,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5444]) ).
thf(5497,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( SV434
= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5445]) ).
thf(5498,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5446]) ).
thf(5499,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5447]) ).
thf(5500,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5448]) ).
thf(5501,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5448]) ).
thf(5502,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5449]) ).
thf(5503,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= SV434 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5450]) ).
thf(5504,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( SV435
= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5451]) ).
thf(5505,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5452]) ).
thf(5506,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5453]) ).
thf(5507,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5454]) ).
thf(5508,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5454]) ).
thf(5509,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5455]) ).
thf(5510,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= SV435 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5456]) ).
thf(5511,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( SV436
= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5457]) ).
thf(5512,plain,
! [SV338: $i,SV419: $i,SV436: $i] :
( ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5458]) ).
thf(5513,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5459]) ).
thf(5514,plain,
! [SV451: $i,SV338: $i,SV437: $i,SV420: $i] :
( ( ( SV420
= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5462]) ).
thf(5515,plain,
! [SV451: $i,SV338: $i,SV420: $i,SV437: $i] :
( ( ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV437 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5463]) ).
thf(5516,plain,
! [SV451: $i,SV338: $i,SV437: $i,SV420: $i] :
( ( ( SV420
= ( sdtasdt0 @ SV437 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5464]) ).
thf(5517,plain,
! [SV451: $i,SV338: $i,SV420: $i,SV437: $i] :
( ( ( aNaturalNumber0 @ ( sK15_W3 @ SV437 @ SV420 @ SV338 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV437 @ SV420 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV420 ) @ SV437 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV437 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV420 )
= ( sdtasdt0 @ SV437 @ SV451 ) )
= $false )
| ( ( aNaturalNumber0 @ SV451 )
= $false )
| ( ( aNaturalNumber0 @ SV420 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV437 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5465]) ).
thf(5518,plain,
! [SV471: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SV471 ) )
| ~ ( aNaturalNumber0 @ SV471 ) )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5466]) ).
thf(5519,plain,
! [SV472: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SV472 ) )
| ~ ( aNaturalNumber0 @ SV472 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5467]) ).
thf(5520,plain,
! [SV429: $i,SV412: $i,SV338: $i,SV467: $i] :
( ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5468]) ).
thf(5521,plain,
! [SV455: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5469]) ).
thf(5522,plain,
! [SV459: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5470]) ).
thf(5523,plain,
! [SV460: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5471]) ).
thf(5524,plain,
! [SV473: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SV473 ) )
| ~ ( aNaturalNumber0 @ SV473 ) )
= $true )
| ( ( SV430
= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5472]) ).
thf(5525,plain,
! [SV474: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SV474 ) )
| ~ ( aNaturalNumber0 @ SV474 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5473]) ).
thf(5526,plain,
! [SV430: $i,SV413: $i,SV338: $i,SV468: $i] :
( ( ( aNaturalNumber0 @ SV468 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV468 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5474]) ).
thf(5527,plain,
! [SV456: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV456 ) )
= $false )
| ( ( aNaturalNumber0 @ SV456 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5475]) ).
thf(5528,plain,
! [SV461: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV461 ) )
= $false )
| ( ( aNaturalNumber0 @ SV461 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5476]) ).
thf(5529,plain,
! [SV462: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= SV430 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV462 ) )
= $false )
| ( ( aNaturalNumber0 @ SV462 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5477]) ).
thf(5530,plain,
! [SV475: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SV475 ) )
| ~ ( aNaturalNumber0 @ SV475 ) )
= $true )
| ( ( SV431
= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5478]) ).
thf(5531,plain,
! [SV476: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SV476 ) )
| ~ ( aNaturalNumber0 @ SV476 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5479]) ).
thf(5532,plain,
! [SV431: $i,SV414: $i,SV338: $i,SV469: $i] :
( ( ( aNaturalNumber0 @ SV469 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV469 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5480]) ).
thf(5533,plain,
! [SV457: $i,SV414: $i,SV338: $i,SV431: $i] :
( ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV457 ) )
= $false )
| ( ( aNaturalNumber0 @ SV457 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5481]) ).
thf(5534,plain,
! [SV463: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV463 ) )
= $false )
| ( ( aNaturalNumber0 @ SV463 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5482]) ).
thf(5535,plain,
! [SV464: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= SV431 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV464 ) )
= $false )
| ( ( aNaturalNumber0 @ SV464 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5483]) ).
thf(5536,plain,
! [SV477: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SV477 ) )
| ~ ( aNaturalNumber0 @ SV477 ) )
= $true )
| ( ( SV432
= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5484]) ).
thf(5537,plain,
! [SV478: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SV478 ) )
| ~ ( aNaturalNumber0 @ SV478 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5485]) ).
thf(5538,plain,
! [SV432: $i,SV415: $i,SV338: $i,SV470: $i] :
( ( ( aNaturalNumber0 @ SV470 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV470 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5486]) ).
thf(5539,plain,
! [SV458: $i,SV415: $i,SV338: $i,SV432: $i] :
( ( ( doDivides0 @ SV432 @ SV338 )
= $true )
| ( ( doDivides0 @ SV432 @ SV415 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ SV432 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV458 ) )
= $false )
| ( ( aNaturalNumber0 @ SV458 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5487]) ).
thf(5540,plain,
! [SV465: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV465 ) )
= $false )
| ( ( aNaturalNumber0 @ SV465 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5488]) ).
thf(5541,plain,
! [SV466: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= SV432 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV466 ) )
= $false )
| ( ( aNaturalNumber0 @ SV466 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5489]) ).
thf(5542,plain,
! [SV416: $i,SV338: $i,SV433: $i] :
( ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5490]) ).
thf(5543,plain,
! [SV416: $i,SV338: $i,SV433: $i] :
( ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5491]) ).
thf(5544,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5492]) ).
thf(5545,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5493]) ).
thf(5546,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5494]) ).
thf(5547,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5495]) ).
thf(5548,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5495]) ).
thf(5549,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5496]) ).
thf(5550,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5496]) ).
thf(5551,plain,
! [SV417: $i,SV338: $i,SV434: $i] :
( ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( SV434
= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5497]) ).
thf(5552,plain,
! [SV417: $i,SV338: $i,SV434: $i] :
( ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5498]) ).
thf(5553,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5499]) ).
thf(5554,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5500]) ).
thf(5555,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ SV434 )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5501]) ).
thf(5556,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5502]) ).
thf(5557,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5502]) ).
thf(5558,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= SV434 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5503]) ).
thf(5559,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= SV434 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5503]) ).
thf(5560,plain,
! [SV418: $i,SV338: $i,SV435: $i] :
( ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( SV435
= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5504]) ).
thf(5561,plain,
! [SV418: $i,SV338: $i,SV435: $i] :
( ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5505]) ).
thf(5562,plain,
! [SV418: $i,SV338: $i,SV435: $i] :
( ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5506]) ).
thf(5563,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( SV418
= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5507]) ).
thf(5564,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ SV435 )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5508]) ).
thf(5565,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5509]) ).
thf(5566,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5509]) ).
thf(5567,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= SV435 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5510]) ).
thf(5568,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= SV435 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5510]) ).
thf(5569,plain,
! [SV419: $i,SV338: $i,SV436: $i] :
( ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( SV436
= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5511]) ).
thf(5570,plain,
! [SV419: $i,SV338: $i,SV436: $i] :
( ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5512]) ).
thf(5571,plain,
! [SV419: $i,SV338: $i,SV436: $i] :
( ( ( doDivides0 @ SV436 @ SV338 )
= $true )
| ( ( doDivides0 @ SV436 @ SV419 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5513]) ).
thf(5572,plain,
! [SV471: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SV471 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV471 ) )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5518]) ).
thf(5573,plain,
! [SV472: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV412 )
!= ( sdtasdt0 @ SV429 @ SV472 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV472 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5519]) ).
thf(5574,plain,
! [SV467: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5520]) ).
thf(5575,plain,
! [SV455: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5521]) ).
thf(5576,plain,
! [SV459: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5522]) ).
thf(5577,plain,
! [SV460: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5523]) ).
thf(5578,plain,
! [SV473: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SV473 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV473 ) )
= $true )
| ( ( SV430
= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5524]) ).
thf(5579,plain,
! [SV474: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV413 )
!= ( sdtasdt0 @ SV430 @ SV474 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV474 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5525]) ).
thf(5580,plain,
! [SV468: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV468 ) )
= $false )
| ( ( aNaturalNumber0 @ SV468 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5526]) ).
thf(5581,plain,
! [SV456: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV456 ) )
= $false )
| ( ( aNaturalNumber0 @ SV456 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5527]) ).
thf(5582,plain,
! [SV461: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV461 ) )
= $false )
| ( ( aNaturalNumber0 @ SV461 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5528]) ).
thf(5583,plain,
! [SV462: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= SV430 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV462 ) )
= $false )
| ( ( aNaturalNumber0 @ SV462 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5529]) ).
thf(5584,plain,
! [SV475: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SV475 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV475 ) )
= $true )
| ( ( SV431
= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5530]) ).
thf(5585,plain,
! [SV476: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV414 )
!= ( sdtasdt0 @ SV431 @ SV476 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV476 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5531]) ).
thf(5586,plain,
! [SV469: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV469 ) )
= $false )
| ( ( aNaturalNumber0 @ SV469 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5532]) ).
thf(5587,plain,
! [SV457: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV457 ) )
= $false )
| ( ( aNaturalNumber0 @ SV457 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5533]) ).
thf(5588,plain,
! [SV463: $i,SV414: $i,SV338: $i,SV431: $i] :
( ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV463 ) )
= $false )
| ( ( aNaturalNumber0 @ SV463 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5534]) ).
thf(5589,plain,
! [SV464: $i,SV414: $i,SV338: $i,SV431: $i] :
( ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= SV431 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV464 ) )
= $false )
| ( ( aNaturalNumber0 @ SV464 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5535]) ).
thf(5590,plain,
! [SV477: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SV477 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV477 ) )
= $true )
| ( ( SV432
= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5536]) ).
thf(5591,plain,
! [SV478: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( ( sdtasdt0 @ SV338 @ SV415 )
!= ( sdtasdt0 @ SV432 @ SV478 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV478 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5537]) ).
thf(5592,plain,
! [SV470: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV470 ) )
= $false )
| ( ( aNaturalNumber0 @ SV470 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5538]) ).
thf(5593,plain,
! [SV465: $i,SV415: $i,SV338: $i,SV432: $i] :
( ( ( doDivides0 @ SV432 @ SV338 )
= $true )
| ( ( doDivides0 @ SV432 @ SV415 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV465 ) )
= $false )
| ( ( aNaturalNumber0 @ SV465 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5540]) ).
thf(5594,plain,
! [SV466: $i,SV415: $i,SV338: $i,SV432: $i] :
( ( ( doDivides0 @ SV432 @ SV338 )
= $true )
| ( ( doDivides0 @ SV432 @ SV415 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV432 @ SV415 @ SV338 )
= SV432 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV466 ) )
= $false )
| ( ( aNaturalNumber0 @ SV466 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5541]) ).
thf(5595,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5542]) ).
thf(5596,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5543]) ).
thf(5597,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5544]) ).
thf(5598,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5545]) ).
thf(5599,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5546]) ).
thf(5600,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5547]) ).
thf(5601,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5548]) ).
thf(5602,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5549]) ).
thf(5603,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5550]) ).
thf(5604,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( SV434
= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5551]) ).
thf(5605,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5552]) ).
thf(5606,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5553]) ).
thf(5607,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5556]) ).
thf(5608,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5557]) ).
thf(5609,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= SV434 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5558]) ).
thf(5610,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV434 @ SV417 @ SV338 )
= SV434 )
= $false )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5559]) ).
thf(5611,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( SV435
= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5560]) ).
thf(5612,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5561]) ).
thf(5613,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5562]) ).
thf(5614,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( SV418
= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5565]) ).
thf(5615,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5566]) ).
thf(5616,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( SV418
= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= SV435 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5567]) ).
thf(5617,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV435 @ SV418 @ SV338 )
= SV435 )
= $false )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5568]) ).
thf(5618,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( SV436
= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5569]) ).
thf(5619,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5570]) ).
thf(5620,plain,
! [SV471: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV471 ) )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5572]) ).
thf(5621,plain,
! [SV472: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV472 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5573]) ).
thf(5622,plain,
! [SV467: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5574]) ).
thf(5623,plain,
! [SV455: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5575]) ).
thf(5624,plain,
! [SV455: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5575]) ).
thf(5625,plain,
! [SV459: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5576]) ).
thf(5626,plain,
! [SV460: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5577]) ).
thf(5627,plain,
! [SV473: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV473 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV473 ) )
= $true )
| ( ( SV430
= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5578]) ).
thf(5628,plain,
! [SV474: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV474 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV474 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5579]) ).
thf(5629,plain,
! [SV468: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV468 ) )
= $false )
| ( ( aNaturalNumber0 @ SV468 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5580]) ).
thf(5630,plain,
! [SV456: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV456 ) )
= $false )
| ( ( aNaturalNumber0 @ SV456 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5581]) ).
thf(5631,plain,
! [SV456: $i,SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV456 ) )
= $false )
| ( ( aNaturalNumber0 @ SV456 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5581]) ).
thf(5632,plain,
! [SV461: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV461 ) )
= $false )
| ( ( aNaturalNumber0 @ SV461 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5582]) ).
thf(5633,plain,
! [SV462: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= SV430 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV462 ) )
= $false )
| ( ( aNaturalNumber0 @ SV462 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5583]) ).
thf(5634,plain,
! [SV475: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV475 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV475 ) )
= $true )
| ( ( SV431
= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5584]) ).
thf(5635,plain,
! [SV476: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV476 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV476 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5585]) ).
thf(5636,plain,
! [SV469: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV469 ) )
= $false )
| ( ( aNaturalNumber0 @ SV469 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5586]) ).
thf(5637,plain,
! [SV457: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV457 ) )
= $false )
| ( ( aNaturalNumber0 @ SV457 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5587]) ).
thf(5638,plain,
! [SV457: $i,SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV457 ) )
= $false )
| ( ( aNaturalNumber0 @ SV457 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5587]) ).
thf(5639,plain,
! [SV463: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV463 ) )
= $false )
| ( ( aNaturalNumber0 @ SV463 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5588]) ).
thf(5640,plain,
! [SV464: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= SV431 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV464 ) )
= $false )
| ( ( aNaturalNumber0 @ SV464 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5589]) ).
thf(5641,plain,
! [SV477: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV477 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV477 ) )
= $true )
| ( ( SV432
= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5590]) ).
thf(5642,plain,
! [SV478: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV478 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV478 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5591]) ).
thf(5643,plain,
! [SV470: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV470 ) )
= $false )
| ( ( aNaturalNumber0 @ SV470 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5592]) ).
thf(5644,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5595]) ).
thf(5645,plain,
! [SV433: $i,SV416: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5596]) ).
thf(5646,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5597]) ).
thf(5647,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5597]) ).
thf(5648,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5598]) ).
thf(5649,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5598]) ).
thf(5650,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5599]) ).
thf(5651,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5599]) ).
thf(5652,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5600]) ).
thf(5653,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5601]) ).
thf(5654,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5602]) ).
thf(5655,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5603]) ).
thf(5656,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( SV434
= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5604]) ).
thf(5657,plain,
! [SV434: $i,SV417: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ( doDivides0 @ SV434 @ SV417 ) )
= $true )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5605]) ).
thf(5658,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5606]) ).
thf(5659,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5606]) ).
thf(5660,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( SV435
= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5611]) ).
thf(5661,plain,
! [SV435: $i,SV418: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV435 @ SV338 )
| ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5612]) ).
thf(5662,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5613]) ).
thf(5663,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5613]) ).
thf(5664,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( SV436
= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5618]) ).
thf(5665,plain,
! [SV436: $i,SV419: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV436 @ SV338 )
| ( doDivides0 @ SV436 @ SV419 ) )
= $true )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5619]) ).
thf(5666,plain,
! [SV429: $i,SV412: $i,SV338: $i,SV471: $i] :
( ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5620]) ).
thf(5667,plain,
! [SV429: $i,SV412: $i,SV338: $i,SV472: $i] :
( ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5621]) ).
thf(5668,plain,
! [SV467: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5622]) ).
thf(5669,plain,
! [SV455: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5623]) ).
thf(5670,plain,
! [SV455: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5624]) ).
thf(5671,plain,
! [SV459: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5625]) ).
thf(5672,plain,
! [SV459: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5625]) ).
thf(5673,plain,
! [SV460: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5626]) ).
thf(5674,plain,
! [SV460: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5626]) ).
thf(5675,plain,
! [SV430: $i,SV413: $i,SV338: $i,SV473: $i] :
( ( ( aNaturalNumber0 @ SV473 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV473 ) )
= $false )
| ( ( SV430
= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5627]) ).
thf(5676,plain,
! [SV430: $i,SV413: $i,SV338: $i,SV474: $i] :
( ( ( aNaturalNumber0 @ SV474 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV474 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5628]) ).
thf(5677,plain,
! [SV468: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV468 ) )
= $false )
| ( ( aNaturalNumber0 @ SV468 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5629]) ).
thf(5678,plain,
! [SV456: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV456 ) )
= $false )
| ( ( aNaturalNumber0 @ SV456 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5630]) ).
thf(5679,plain,
! [SV456: $i,SV338: $i,SV413: $i,SV430: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ SV430 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV456 ) )
= $false )
| ( ( aNaturalNumber0 @ SV456 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5631]) ).
thf(5680,plain,
! [SV461: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV461 ) )
= $false )
| ( ( aNaturalNumber0 @ SV461 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5632]) ).
thf(5681,plain,
! [SV461: $i,SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV461 ) )
= $false )
| ( ( aNaturalNumber0 @ SV461 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5632]) ).
thf(5682,plain,
! [SV462: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= SV430 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV462 ) )
= $false )
| ( ( aNaturalNumber0 @ SV462 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5633]) ).
thf(5683,plain,
! [SV462: $i,SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= SV430 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV462 ) )
= $false )
| ( ( aNaturalNumber0 @ SV462 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5633]) ).
thf(5684,plain,
! [SV431: $i,SV414: $i,SV338: $i,SV475: $i] :
( ( ( aNaturalNumber0 @ SV475 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV475 ) )
= $false )
| ( ( SV431
= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5634]) ).
thf(5685,plain,
! [SV431: $i,SV414: $i,SV338: $i,SV476: $i] :
( ( ( aNaturalNumber0 @ SV476 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV476 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5635]) ).
thf(5686,plain,
! [SV469: $i,SV414: $i,SV338: $i,SV431: $i] :
( ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV469 ) )
= $false )
| ( ( aNaturalNumber0 @ SV469 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5636]) ).
thf(5687,plain,
! [SV457: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( SV414
= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV457 ) )
= $false )
| ( ( aNaturalNumber0 @ SV457 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5637]) ).
thf(5688,plain,
! [SV457: $i,SV338: $i,SV414: $i,SV431: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ SV431 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV457 ) )
= $false )
| ( ( aNaturalNumber0 @ SV457 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5638]) ).
thf(5689,plain,
! [SV463: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV463 ) )
= $false )
| ( ( aNaturalNumber0 @ SV463 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5639]) ).
thf(5690,plain,
! [SV463: $i,SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV463 ) )
= $false )
| ( ( aNaturalNumber0 @ SV463 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5639]) ).
thf(5691,plain,
! [SV464: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= SV431 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV464 ) )
= $false )
| ( ( aNaturalNumber0 @ SV464 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5640]) ).
thf(5692,plain,
! [SV464: $i,SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= SV431 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV464 ) )
= $false )
| ( ( aNaturalNumber0 @ SV464 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5640]) ).
thf(5693,plain,
! [SV432: $i,SV415: $i,SV338: $i,SV477: $i] :
( ( ( aNaturalNumber0 @ SV477 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV477 ) )
= $false )
| ( ( SV432
= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5641]) ).
thf(5694,plain,
! [SV432: $i,SV415: $i,SV338: $i,SV478: $i] :
( ( ( aNaturalNumber0 @ SV478 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV478 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5642]) ).
thf(5695,plain,
! [SV470: $i,SV415: $i,SV338: $i,SV432: $i] :
( ( ( doDivides0 @ SV432 @ SV338 )
= $true )
| ( ( doDivides0 @ SV432 @ SV415 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV470 ) )
= $false )
| ( ( aNaturalNumber0 @ SV470 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5643]) ).
thf(5696,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5644]) ).
thf(5697,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5645]) ).
thf(5698,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5646]) ).
thf(5699,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5647]) ).
thf(5700,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( SV416
= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5648]) ).
thf(5701,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5649]) ).
thf(5702,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( SV416
= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5650]) ).
thf(5703,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ SV433 )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5651]) ).
thf(5704,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5652]) ).
thf(5705,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5652]) ).
thf(5706,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5653]) ).
thf(5707,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5653]) ).
thf(5708,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5654]) ).
thf(5709,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5654]) ).
thf(5710,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5655]) ).
thf(5711,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5655]) ).
thf(5712,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( SV434
= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5656]) ).
thf(5713,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5657]) ).
thf(5714,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5658]) ).
thf(5715,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5659]) ).
thf(5716,plain,
! [SV418: $i,SV338: $i,SV435: $i] :
( ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( SV435
= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5660]) ).
thf(5717,plain,
! [SV418: $i,SV338: $i,SV435: $i] :
( ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( ~ ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5661]) ).
thf(5718,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( SV418
= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5662]) ).
thf(5719,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5663]) ).
thf(5720,plain,
! [SV419: $i,SV338: $i,SV436: $i] :
( ( ( doDivides0 @ SV436 @ SV338 )
= $true )
| ( ( doDivides0 @ SV436 @ SV419 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( SV436
= ( sdtasdt0 @ ( sK17_W3 @ SV436 @ SV419 @ SV338 ) @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5664]) ).
thf(5721,plain,
! [SV419: $i,SV338: $i,SV436: $i] :
( ( ( doDivides0 @ SV436 @ SV338 )
= $true )
| ( ( doDivides0 @ SV436 @ SV419 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV419 ) @ SV436 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV436 = sz00 )
= $true )
| ( ( SV436 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV436 @ SV419 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV436 @ ( sdtasdt0 @ SV338 @ SV419 ) )
= $false )
| ( ( aNaturalNumber0 @ SV419 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV436 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5665]) ).
thf(5722,plain,
! [SV471: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5666]) ).
thf(5723,plain,
! [SV472: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5667]) ).
thf(5724,plain,
! [SV467: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5668]) ).
thf(5725,plain,
! [SV455: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5669]) ).
thf(5726,plain,
! [SV455: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5670]) ).
thf(5727,plain,
! [SV459: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5671]) ).
thf(5728,plain,
! [SV459: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5672]) ).
thf(5729,plain,
! [SV460: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5673]) ).
thf(5730,plain,
! [SV460: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5674]) ).
thf(5731,plain,
! [SV473: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430
= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV473 ) )
= $false )
| ( ( aNaturalNumber0 @ SV473 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5675]) ).
thf(5732,plain,
! [SV474: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV474 ) )
= $false )
| ( ( aNaturalNumber0 @ SV474 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5676]) ).
thf(5733,plain,
! [SV468: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV468 ) )
= $false )
| ( ( aNaturalNumber0 @ SV468 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5677]) ).
thf(5734,plain,
! [SV461: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV461 ) )
= $false )
| ( ( aNaturalNumber0 @ SV461 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5680]) ).
thf(5735,plain,
! [SV461: $i,SV338: $i,SV413: $i,SV430: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV461 ) )
= $false )
| ( ( aNaturalNumber0 @ SV461 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5681]) ).
thf(5736,plain,
! [SV462: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= SV430 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV462 ) )
= $false )
| ( ( aNaturalNumber0 @ SV462 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5682]) ).
thf(5737,plain,
! [SV462: $i,SV338: $i,SV413: $i,SV430: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV430 @ SV413 @ SV338 )
= SV430 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV462 ) )
= $false )
| ( ( aNaturalNumber0 @ SV462 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5683]) ).
thf(5738,plain,
! [SV475: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431
= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV475 ) )
= $false )
| ( ( aNaturalNumber0 @ SV475 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5684]) ).
thf(5739,plain,
! [SV476: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV476 ) )
= $false )
| ( ( aNaturalNumber0 @ SV476 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5685]) ).
thf(5740,plain,
! [SV469: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV469 ) )
= $false )
| ( ( aNaturalNumber0 @ SV469 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5686]) ).
thf(5741,plain,
! [SV463: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( SV414
= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV463 ) )
= $false )
| ( ( aNaturalNumber0 @ SV463 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5689]) ).
thf(5742,plain,
! [SV463: $i,SV338: $i,SV414: $i,SV431: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV463 ) )
= $false )
| ( ( aNaturalNumber0 @ SV463 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5690]) ).
thf(5743,plain,
! [SV464: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( SV414
= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= SV431 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV464 ) )
= $false )
| ( ( aNaturalNumber0 @ SV464 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5691]) ).
thf(5744,plain,
! [SV464: $i,SV338: $i,SV414: $i,SV431: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV431 @ SV414 @ SV338 )
= SV431 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV464 ) )
= $false )
| ( ( aNaturalNumber0 @ SV464 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5692]) ).
thf(5745,plain,
! [SV477: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432
= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV477 ) )
= $false )
| ( ( aNaturalNumber0 @ SV477 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5693]) ).
thf(5746,plain,
! [SV478: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV478 ) )
= $false )
| ( ( aNaturalNumber0 @ SV478 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5694]) ).
thf(5747,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5696]) ).
thf(5748,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5697]) ).
thf(5749,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5698]) ).
thf(5750,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5699]) ).
thf(5751,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( SV416
= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5704]) ).
thf(5752,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5705]) ).
thf(5753,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( SV416
= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5706]) ).
thf(5754,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5707]) ).
thf(5755,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( SV416
= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5708]) ).
thf(5756,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5709]) ).
thf(5757,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( SV416
= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5710]) ).
thf(5758,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV433 @ SV416 @ SV338 )
= SV433 )
= $false )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5711]) ).
thf(5759,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( SV434
= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5712]) ).
thf(5760,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5713]) ).
thf(5761,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( SV435
= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5716]) ).
thf(5762,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5717]) ).
thf(5763,plain,
! [SV471: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5722]) ).
thf(5764,plain,
! [SV472: $i,SV429: $i,SV412: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5723]) ).
thf(5765,plain,
! [SV467: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5724]) ).
thf(5766,plain,
! [SV467: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5724]) ).
thf(5767,plain,
! [SV455: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5725]) ).
thf(5768,plain,
! [SV455: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5725]) ).
thf(5769,plain,
! [SV455: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5726]) ).
thf(5770,plain,
! [SV455: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5726]) ).
thf(5771,plain,
! [SV459: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5727]) ).
thf(5772,plain,
! [SV459: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5728]) ).
thf(5773,plain,
! [SV460: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5729]) ).
thf(5774,plain,
! [SV460: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5730]) ).
thf(5775,plain,
! [SV473: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430
= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV473 ) )
= $false )
| ( ( aNaturalNumber0 @ SV473 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5731]) ).
thf(5776,plain,
! [SV474: $i,SV430: $i,SV413: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ( doDivides0 @ SV430 @ SV413 ) )
= $true )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV474 ) )
= $false )
| ( ( aNaturalNumber0 @ SV474 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5732]) ).
thf(5777,plain,
! [SV468: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV468 ) )
= $false )
| ( ( aNaturalNumber0 @ SV468 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5733]) ).
thf(5778,plain,
! [SV468: $i,SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV468 ) )
= $false )
| ( ( aNaturalNumber0 @ SV468 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5733]) ).
thf(5779,plain,
! [SV475: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431
= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV475 ) )
= $false )
| ( ( aNaturalNumber0 @ SV475 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5738]) ).
thf(5780,plain,
! [SV476: $i,SV431: $i,SV414: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV431 @ SV338 )
| ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV476 ) )
= $false )
| ( ( aNaturalNumber0 @ SV476 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5739]) ).
thf(5781,plain,
! [SV469: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV469 ) )
= $false )
| ( ( aNaturalNumber0 @ SV469 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5740]) ).
thf(5782,plain,
! [SV469: $i,SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV469 ) )
= $false )
| ( ( aNaturalNumber0 @ SV469 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5740]) ).
thf(5783,plain,
! [SV477: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432
= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV477 ) )
= $false )
| ( ( aNaturalNumber0 @ SV477 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5745]) ).
thf(5784,plain,
! [SV478: $i,SV432: $i,SV415: $i,SV338: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV432 @ SV338 )
| ( doDivides0 @ SV432 @ SV415 ) )
= $true )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV478 ) )
= $false )
| ( ( aNaturalNumber0 @ SV478 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5746]) ).
thf(5785,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5747]) ).
thf(5786,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5747]) ).
thf(5787,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5748]) ).
thf(5788,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5748]) ).
thf(5789,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5749]) ).
thf(5790,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5749]) ).
thf(5791,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5750]) ).
thf(5792,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5750]) ).
thf(5793,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( SV434
= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5759]) ).
thf(5794,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( SV434
= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5759]) ).
thf(5795,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5760]) ).
thf(5796,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5760]) ).
thf(5797,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( SV435
= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5761]) ).
thf(5798,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( SV435
= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5761]) ).
thf(5799,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( ( SV418
!= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5762]) ).
thf(5800,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5762]) ).
thf(5801,plain,
! [SV471: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5763]) ).
thf(5802,plain,
! [SV472: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5764]) ).
thf(5803,plain,
! [SV467: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5765]) ).
thf(5804,plain,
! [SV467: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5766]) ).
thf(5805,plain,
! [SV455: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( SV412
= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5767]) ).
thf(5806,plain,
! [SV455: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5768]) ).
thf(5807,plain,
! [SV455: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( SV412
= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5769]) ).
thf(5808,plain,
! [SV455: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ SV429 )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV455 ) )
= $false )
| ( ( aNaturalNumber0 @ SV455 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5770]) ).
thf(5809,plain,
! [SV459: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5771]) ).
thf(5810,plain,
! [SV459: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5771]) ).
thf(5811,plain,
! [SV459: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5772]) ).
thf(5812,plain,
! [SV459: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5772]) ).
thf(5813,plain,
! [SV460: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5773]) ).
thf(5814,plain,
! [SV460: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5773]) ).
thf(5815,plain,
! [SV460: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5774]) ).
thf(5816,plain,
! [SV460: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5774]) ).
thf(5817,plain,
! [SV473: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430
= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV473 ) )
= $false )
| ( ( aNaturalNumber0 @ SV473 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5775]) ).
thf(5818,plain,
! [SV474: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ~ ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV474 ) )
= $false )
| ( ( aNaturalNumber0 @ SV474 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5776]) ).
thf(5819,plain,
! [SV468: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV468 ) )
= $false )
| ( ( aNaturalNumber0 @ SV468 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5777]) ).
thf(5820,plain,
! [SV468: $i,SV338: $i,SV413: $i,SV430: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV468 ) )
= $false )
| ( ( aNaturalNumber0 @ SV468 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5778]) ).
thf(5821,plain,
! [SV475: $i,SV414: $i,SV338: $i,SV431: $i] :
( ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431
= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV475 ) )
= $false )
| ( ( aNaturalNumber0 @ SV475 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5779]) ).
thf(5822,plain,
! [SV476: $i,SV414: $i,SV338: $i,SV431: $i] :
( ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( ~ ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV476 ) )
= $false )
| ( ( aNaturalNumber0 @ SV476 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5780]) ).
thf(5823,plain,
! [SV469: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( SV414
= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV469 ) )
= $false )
| ( ( aNaturalNumber0 @ SV469 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5781]) ).
thf(5824,plain,
! [SV469: $i,SV338: $i,SV414: $i,SV431: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV469 ) )
= $false )
| ( ( aNaturalNumber0 @ SV469 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5782]) ).
thf(5825,plain,
! [SV477: $i,SV415: $i,SV338: $i,SV432: $i] :
( ( ( doDivides0 @ SV432 @ SV338 )
= $true )
| ( ( doDivides0 @ SV432 @ SV415 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( SV432
= ( sdtasdt0 @ ( sK29_W3 @ SV432 @ SV415 @ SV338 ) @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV477 ) )
= $false )
| ( ( aNaturalNumber0 @ SV477 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5783]) ).
thf(5826,plain,
! [SV478: $i,SV415: $i,SV338: $i,SV432: $i] :
( ( ( doDivides0 @ SV432 @ SV338 )
= $true )
| ( ( doDivides0 @ SV432 @ SV415 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV415 ) @ SV432 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV432 = sz00 )
= $true )
| ( ( SV432 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV432 @ SV415 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV415 )
= ( sdtasdt0 @ SV432 @ SV478 ) )
= $false )
| ( ( aNaturalNumber0 @ SV478 )
= $false )
| ( ( aNaturalNumber0 @ SV415 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV432 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5784]) ).
thf(5827,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5785]) ).
thf(5828,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5786]) ).
thf(5829,plain,
! [SV416: $i,SV433: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5787]) ).
thf(5830,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( ~ ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5788]) ).
thf(5831,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( SV416
= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5789]) ).
thf(5832,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5790]) ).
thf(5833,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( SV416
= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5791]) ).
thf(5834,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5792]) ).
thf(5835,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( SV434
= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5793]) ).
thf(5836,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( SV434
= ( sdtasdt0 @ ( sK23_W3 @ SV434 @ SV417 @ SV338 ) @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5794]) ).
thf(5837,plain,
! [SV417: $i,SV434: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV434 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5795]) ).
thf(5838,plain,
! [SV338: $i,SV417: $i,SV434: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ SV417 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV417 ) @ SV434 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV434 = sz00 )
= $true )
| ( ( SV434 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV434 @ SV417 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV434 @ ( sdtasdt0 @ SV338 @ SV417 ) )
= $false )
| ( ( aNaturalNumber0 @ SV417 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV434 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5796]) ).
thf(5839,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( SV418
= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( SV435
= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5797]) ).
thf(5840,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( SV435
= ( sdtasdt0 @ ( sK20_W3 @ SV435 @ SV418 @ SV338 ) @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5798]) ).
thf(5841,plain,
! [SV338: $i,SV435: $i,SV418: $i] :
( ( ( SV418
= ( sdtasdt0 @ SV435 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5799]) ).
thf(5842,plain,
! [SV338: $i,SV418: $i,SV435: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV418 ) @ SV435 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV435 = sz00 )
= $true )
| ( ( SV435 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV435 @ SV418 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV435 @ ( sdtasdt0 @ SV338 @ SV418 ) )
= $false )
| ( ( aNaturalNumber0 @ SV418 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV435 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5800]) ).
thf(5843,plain,
! [SV471: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5801]) ).
thf(5844,plain,
! [SV472: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5802]) ).
thf(5845,plain,
! [SV467: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5803]) ).
thf(5846,plain,
! [SV467: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5804]) ).
thf(5847,plain,
! [SV459: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( SV412
= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5809]) ).
thf(5848,plain,
! [SV459: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5810]) ).
thf(5849,plain,
! [SV459: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( SV412
= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5811]) ).
thf(5850,plain,
! [SV459: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV459 ) )
= $false )
| ( ( aNaturalNumber0 @ SV459 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5812]) ).
thf(5851,plain,
! [SV460: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( SV412
= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5813]) ).
thf(5852,plain,
! [SV460: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5814]) ).
thf(5853,plain,
! [SV460: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( SV412
= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5815]) ).
thf(5854,plain,
! [SV460: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV429 @ SV412 @ SV338 )
= SV429 )
= $false )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV460 ) )
= $false )
| ( ( aNaturalNumber0 @ SV460 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5816]) ).
thf(5855,plain,
! [SV473: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430
= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV473 ) )
= $false )
| ( ( aNaturalNumber0 @ SV473 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5817]) ).
thf(5856,plain,
! [SV474: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV474 ) )
= $false )
| ( ( aNaturalNumber0 @ SV474 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5818]) ).
thf(5857,plain,
! [SV475: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431
= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV475 ) )
= $false )
| ( ( aNaturalNumber0 @ SV475 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5821]) ).
thf(5858,plain,
! [SV476: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV476 ) )
= $false )
| ( ( aNaturalNumber0 @ SV476 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5822]) ).
thf(5859,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5827]) ).
thf(5860,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5828]) ).
thf(5861,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5829]) ).
thf(5862,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5830]) ).
thf(5863,plain,
! [SV471: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5843]) ).
thf(5864,plain,
! [SV471: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5843]) ).
thf(5865,plain,
! [SV472: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5844]) ).
thf(5866,plain,
! [SV472: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5844]) ).
thf(5867,plain,
! [SV467: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5845]) ).
thf(5868,plain,
! [SV467: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5845]) ).
thf(5869,plain,
! [SV467: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5846]) ).
thf(5870,plain,
! [SV467: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5846]) ).
thf(5871,plain,
! [SV473: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430
= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV473 ) )
= $false )
| ( ( aNaturalNumber0 @ SV473 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5855]) ).
thf(5872,plain,
! [SV473: $i,SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430
= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV473 ) )
= $false )
| ( ( aNaturalNumber0 @ SV473 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5855]) ).
thf(5873,plain,
! [SV474: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( ( SV338
!= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV474 ) )
= $false )
| ( ( aNaturalNumber0 @ SV474 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5856]) ).
thf(5874,plain,
! [SV474: $i,SV338: $i,SV413: $i,SV430: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV474 ) )
= $false )
| ( ( aNaturalNumber0 @ SV474 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5856]) ).
thf(5875,plain,
! [SV475: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431
= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV475 ) )
= $false )
| ( ( aNaturalNumber0 @ SV475 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5857]) ).
thf(5876,plain,
! [SV475: $i,SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431
= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV475 ) )
= $false )
| ( ( aNaturalNumber0 @ SV475 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5857]) ).
thf(5877,plain,
! [SV476: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( ( SV414
!= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV476 ) )
= $false )
| ( ( aNaturalNumber0 @ SV476 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5858]) ).
thf(5878,plain,
! [SV476: $i,SV338: $i,SV414: $i,SV431: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $false )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV476 ) )
= $false )
| ( ( aNaturalNumber0 @ SV476 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5858]) ).
thf(5879,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5859]) ).
thf(5880,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5859]) ).
thf(5881,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5860]) ).
thf(5882,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5860]) ).
thf(5883,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5861]) ).
thf(5884,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5861]) ).
thf(5885,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( ( SV416
!= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5862]) ).
thf(5886,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5862]) ).
thf(5887,plain,
! [SV471: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5863]) ).
thf(5888,plain,
! [SV471: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5864]) ).
thf(5889,plain,
! [SV472: $i,SV412: $i,SV429: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5865]) ).
thf(5890,plain,
! [SV472: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ~ ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5866]) ).
thf(5891,plain,
! [SV467: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( SV412
= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5867]) ).
thf(5892,plain,
! [SV467: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5868]) ).
thf(5893,plain,
! [SV467: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( SV412
= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5869]) ).
thf(5894,plain,
! [SV467: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV467 ) )
= $false )
| ( ( aNaturalNumber0 @ SV467 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5870]) ).
thf(5895,plain,
! [SV473: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430
= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV473 ) )
= $false )
| ( ( aNaturalNumber0 @ SV473 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5871]) ).
thf(5896,plain,
! [SV473: $i,SV338: $i,SV413: $i,SV430: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( SV430
= ( sdtasdt0 @ ( sK35_W3 @ SV430 @ SV413 @ SV338 ) @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV473 ) )
= $false )
| ( ( aNaturalNumber0 @ SV473 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5872]) ).
thf(5897,plain,
! [SV474: $i,SV413: $i,SV430: $i,SV338: $i] :
( ( ( SV338
= ( sdtasdt0 @ SV430 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV474 ) )
= $false )
| ( ( aNaturalNumber0 @ SV474 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5873]) ).
thf(5898,plain,
! [SV474: $i,SV338: $i,SV413: $i,SV430: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV430 @ SV413 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV413 ) @ SV430 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV430 = sz00 )
= $true )
| ( ( SV430 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV430 @ SV413 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV413 )
= ( sdtasdt0 @ SV430 @ SV474 ) )
= $false )
| ( ( aNaturalNumber0 @ SV474 )
= $false )
| ( ( aNaturalNumber0 @ SV413 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV430 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5874]) ).
thf(5899,plain,
! [SV475: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( SV414
= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431
= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV475 ) )
= $false )
| ( ( aNaturalNumber0 @ SV475 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5875]) ).
thf(5900,plain,
! [SV475: $i,SV338: $i,SV414: $i,SV431: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( SV431
= ( sdtasdt0 @ ( sK32_W3 @ SV431 @ SV414 @ SV338 ) @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV475 ) )
= $false )
| ( ( aNaturalNumber0 @ SV475 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5876]) ).
thf(5901,plain,
! [SV476: $i,SV338: $i,SV431: $i,SV414: $i] :
( ( ( SV414
= ( sdtasdt0 @ SV431 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV476 ) )
= $false )
| ( ( aNaturalNumber0 @ SV476 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5877]) ).
thf(5902,plain,
! [SV476: $i,SV338: $i,SV414: $i,SV431: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV431 @ SV338 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV414 ) @ SV431 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV431 = sz00 )
= $true )
| ( ( SV431 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV431 @ SV414 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV414 )
= ( sdtasdt0 @ SV431 @ SV476 ) )
= $false )
| ( ( aNaturalNumber0 @ SV476 )
= $false )
| ( ( aNaturalNumber0 @ SV414 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV431 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5878]) ).
thf(5903,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( SV416
= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5879]) ).
thf(5904,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5880]) ).
thf(5905,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( SV416
= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5881]) ).
thf(5906,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( SV433
= ( sdtasdt0 @ ( sK27_W3 @ SV433 @ SV416 @ SV338 ) @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5882]) ).
thf(5907,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( SV416
= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5883]) ).
thf(5908,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV433 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5884]) ).
thf(5909,plain,
! [SV338: $i,SV433: $i,SV416: $i] :
( ( ( SV416
= ( sdtasdt0 @ SV433 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5885]) ).
thf(5910,plain,
! [SV338: $i,SV416: $i,SV433: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV416 ) @ SV433 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV433 = sz00 )
= $true )
| ( ( SV433 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV433 @ SV416 @ SV338 ) )
= $true )
| ( ( doDivides0 @ SV433 @ ( sdtasdt0 @ SV338 @ SV416 ) )
= $false )
| ( ( aNaturalNumber0 @ SV416 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV433 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5886]) ).
thf(5911,plain,
! [SV471: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5887]) ).
thf(5912,plain,
! [SV471: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5888]) ).
thf(5913,plain,
! [SV472: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5889]) ).
thf(5914,plain,
! [SV472: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5890]) ).
thf(5915,plain,
! [SV471: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5911]) ).
thf(5916,plain,
! [SV471: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5911]) ).
thf(5917,plain,
! [SV471: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5912]) ).
thf(5918,plain,
! [SV471: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5912]) ).
thf(5919,plain,
! [SV472: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5913]) ).
thf(5920,plain,
! [SV472: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5913]) ).
thf(5921,plain,
! [SV472: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( ( SV412
!= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5914]) ).
thf(5922,plain,
! [SV472: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5914]) ).
thf(5923,plain,
! [SV471: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( SV412
= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5915]) ).
thf(5924,plain,
! [SV471: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5916]) ).
thf(5925,plain,
! [SV471: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( SV412
= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5917]) ).
thf(5926,plain,
! [SV471: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( SV429
= ( sdtasdt0 @ ( sK39_W3 @ SV429 @ SV412 @ SV338 ) @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV471 ) )
= $false )
| ( ( aNaturalNumber0 @ SV471 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5918]) ).
thf(5927,plain,
! [SV472: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( SV412
= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5919]) ).
thf(5928,plain,
! [SV472: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( SV338
= ( sdtasdt0 @ SV429 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5920]) ).
thf(5929,plain,
! [SV472: $i,SV338: $i,SV429: $i,SV412: $i] :
( ( ( SV412
= ( sdtasdt0 @ SV429 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5921]) ).
thf(5930,plain,
! [SV472: $i,SV338: $i,SV412: $i,SV429: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV338 @ SV412 ) @ SV429 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV429 = sz00 )
= $true )
| ( ( SV429 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV429 @ SV412 @ SV338 ) )
= $true )
| ( ( ( sdtasdt0 @ SV338 @ SV412 )
= ( sdtasdt0 @ SV429 @ SV472 ) )
= $false )
| ( ( aNaturalNumber0 @ SV472 )
= $false )
| ( ( aNaturalNumber0 @ SV412 )
= $false )
| ( ( aNaturalNumber0 @ SV338 )
= $false )
| ( ( aNaturalNumber0 @ SV429 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5922]) ).
thf(5931,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[4021,5930,5929,5928,5927,5926,5925,5924,5923,5910,5909,5908,5907,5906,5905,5904,5903,5902,5901,5900,5899,5898,5897,5896,5895,5894,5893,5892,5891,5854,5853,5852,5851,5850,5849,5848,5847,5842,5841,5840,5839,5838,5837,5836,5835,5834,5833,5832,5831,5826,5825,5824,5823,5820,5819,5808,5807,5806,5805,5758,5757,5756,5755,5754,5753,5752,5751,5744,5743,5742,5741,5737,5736,5735,5734,5721,5720,5719,5718,5715,5714,5703,5702,5701,5700,5695,5688,5687,5679,5678,5617,5616,5615,5614,5610,5609,5608,5607,5594,5593,5571,5564,5563,5555,5554,5539,5517,5516,5515,5514,5461,5460,5410,5364,5363,5362,5361,5360,5359,5358,5357,5219,5218,5217,5216,5213,5096,5008,4990,4972,4970,4953,4949,4947,4946,4925,4897,4877,4876,4869,4867,4821,4820,4816,4815,4785,4784,4779,4776,4774,4750,4749,4705,4686,4685,4684,4683,4680,4674,4673,4646,4639,4634,4633,4610,4609,4602,4599,4584,4566,4565,4564,4563,4559,4558,4552,4551,4550,4549,4544,4523,4519,4516,4515,4514,4501,4491,4462,4453,4426,4420,4419,4408,4407,4405,4404,4403,4402,4399,4398,4397,4396,4371,4365,4363,4362,4361,4302,4297,4296,4290,4289,4272,4271,4248,4246,4240,4231,4225,4223,4221,4207,4191,4079,4053]) ).
thf(5932,plain,
( ( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xp ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(5933,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK39_W3 @ W2 @ W1 @ W0 ) @ ( sK40_SY98 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK40_SY98 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK39_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK39_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK39_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK39_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK38_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK38_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK35_W3 @ W2 @ W1 @ W0 ) @ ( sK36_SY97 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK36_SY97 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK35_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK35_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK35_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK35_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK34_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK34_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK32_W3 @ W2 @ W1 @ W0 ) @ ( sK33_SY96 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK33_SY96 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK32_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK32_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK32_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK32_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK31_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK31_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ ( sK30_SY95 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK30_SY95 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK29_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK29_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK29_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK27_W3 @ W2 @ W1 @ W0 ) @ ( sK28_SY94 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK28_SY94 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK27_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK27_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK27_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK27_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK26_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK26_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK23_W3 @ W2 @ W1 @ W0 ) @ ( sK24_SY93 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK24_SY93 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK23_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK23_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK23_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK23_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK22_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK22_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK20_W3 @ W2 @ W1 @ W0 ) @ ( sK21_SY92 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK21_SY92 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK20_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK20_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK20_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK20_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK19_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK19_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK17_W3 @ W2 @ W1 @ W0 ) @ ( sK18_SY91 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK18_SY91 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK17_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK17_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK17_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK17_W3 @ W2 @ W1 @ W0 )
!= W2 ) )
| ( W2 = sz00 )
| ( W2 = sz10 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK16_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK16_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK14_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK14_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ! [W3: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W2 @ W3 ) )
| ~ ( aNaturalNumber0 @ W3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK12_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK12_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( ( W0
= ( sdtasdt0 @ W2 @ ( sK10_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK10_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK9_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK9_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( isPrime0 @ W2 )
| ~ ( doDivides0 @ W2 @ ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ W2 @ W0 )
| ( doDivides0 @ W2 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(5934,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
( ( xp
!= ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( aNaturalNumber0 @ W1 ) )
| ( W0 = sz10 )
| ( W0 = xp ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( doDivides0 @ W0 @ xp )
| ( W0 = sz10 )
| ( W0 = xp ) )
& ( xp != sz00 )
& ( xp != sz10 )
& ( isPrime0 @ xp )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ sK8_W0 ) )
& ( aNaturalNumber0 @ sK8_W0 )
& ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(5935,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xn )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xn ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(5936,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xm )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xm ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(5937,plain,
( ( ( xm != xp )
& ( xn != xp )
& ( ( sdtpldt0 @ xn @ sK7_W0 )
= xp )
& ( aNaturalNumber0 @ sK7_W0 )
& ( sdtlseqdt0 @ xn @ xp )
& ( ( sdtpldt0 @ xm @ sK6_W0 )
= xp )
& ( aNaturalNumber0 @ sK6_W0 )
& ( sdtlseqdt0 @ xm @ xp ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(5938,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ xk )
& ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(5939,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(5940,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(5941,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
( ( xr
!= ( sdtasdt0 @ W0 @ W1 ) )
| ~ ( aNaturalNumber0 @ W1 ) )
| ( W0 = sz10 )
| ( W0 = xr ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( doDivides0 @ W0 @ xr )
| ( W0 = sz10 )
| ( W0 = xr ) )
& ( xr != sz10 )
& ( xr != sz00 )
& ( xk
= ( sdtasdt0 @ xr @ sK5_W0 ) )
& ( aNaturalNumber0 @ sK5_W0 )
& ( aNaturalNumber0 @ xr )
& ( doDivides0 @ xr @ xk )
& ( isPrime0 @ xr ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(5942,plain,
( ( ( ( sdtpldt0 @ xr @ sK4_W0 )
= xk )
& ( aNaturalNumber0 @ sK4_W0 )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sK3_W0 ) )
& ( aNaturalNumber0 @ sK3_W0 )
& ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(5943,plain,
( ( ( ( sdtpldt0 @ xp @ sK2_W0 )
= xk )
& ( aNaturalNumber0 @ sK2_W0 )
& ( sdtlseqdt0 @ xp @ xk ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(5944,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(5945,plain,
( ( aNaturalNumber0 @ sz00 )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(5946,plain,
( ( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(5947,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(5948,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(5949,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(5950,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(5951,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtpldt0 @ W0 @ sz00 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(5952,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(5953,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(5954,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz10 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(5955,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(5956,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 )
= ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(5957,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W0 @ W1 )
!= ( sdtpldt0 @ W0 @ W2 ) )
| ( W1 = W2 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W1 @ W0 )
!= ( sdtpldt0 @ W2 @ W0 ) )
| ( W1 = W2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(5958,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0 = sz00 )
| ( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) )
| ( W1 = W2 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) )
| ( W1 = W2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(5959,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
!= sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(5960,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(5961,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(5962,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W0 )
| ( W0 = W1 ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(5963,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(5964,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W1 != W0 )
| ( sdtlseqdt0 @ W0 @ W1 ) )
& ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( sdtlseqdt0 @ W1 @ W0 )
| ( sdtlseqdt0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(5965,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W0 @ W2 )
!= ( sdtpldt0 @ W1 @ W2 ) ) )
& ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtpldt0 @ W2 @ W0 )
!= ( sdtpldt0 @ W2 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ W2 @ W0 ) @ ( sdtpldt0 @ W2 @ W1 ) ) )
& ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ W0 @ W2 ) @ ( sdtpldt0 @ W1 @ W2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(5966,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( ( sdtasdt0 @ W1 @ W0 )
!= ( sdtasdt0 @ W2 @ W0 ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= ( sdtasdt0 @ W0 @ W2 ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( W0 = sz00 )
| ( W1 = W2 )
| ~ ( sdtlseqdt0 @ W1 @ W2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( sdtasdt0 @ W2 @ W0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(5967,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sz10 != W0 )
| ( W0 = sz00 )
| ( W0 = sz10 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sdtlseqdt0 @ sz10 @ W0 )
| ( W0 = sz00 )
| ( W0 = sz10 ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(5968,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = sz00 )
| ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(5969,plain,
( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 )
| $true )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(5970,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( iLess0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(5971,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( doDivides0 @ W0 @ W1 )
| ~ ( doDivides0 @ W1 @ W2 )
| ( doDivides0 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(5972,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( doDivides0 @ W0 @ W1 )
| ~ ( doDivides0 @ W0 @ W2 )
| ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(5973,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ~ ( doDivides0 @ W0 @ W1 )
| ~ ( doDivides0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
| ( doDivides0 @ W0 @ W2 ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(5974,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W1 = sz00 )
| ~ ( doDivides0 @ W0 @ W1 )
| ( sdtlseqdt0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(5975,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = sz00 )
| ~ ( doDivides0 @ W0 @ W1 )
| ! [W2: $i] :
( ~ ( aNaturalNumber0 @ W2 )
| ( ( sdtasdt0 @ W2 @ ( sdtsldt0 @ W1 @ W0 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(5976,plain,
( ( ! [W0: $i] :
( ( W0 = sz10 )
| ( W0 = sz00 )
| ~ ( aNaturalNumber0 @ W0 )
| ( ( aNaturalNumber0 @ ( sK1_W1 @ W0 ) )
& ( doDivides0 @ ( sK1_W1 @ W0 ) @ W0 )
& ( isPrime0 @ ( sK1_W1 @ W0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(5977,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ W0 )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(5978,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ SX0 @ ( sdtpldt0 @ SX1 @ SX2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SX0 @ SX1 ) @ ( sdtasdt0 @ SX0 @ SX2 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SX1 @ SX2 ) @ SX0 )
= ( sdtpldt0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ ( sdtasdt0 @ SX2 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5956]) ).
thf(5979,plain,
( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5932]) ).
thf(5980,plain,
( ( ~ ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
| ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5938]) ).
thf(5981,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5964]) ).
thf(5982,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xn ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5935]) ).
thf(5983,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX0 = SX1 )
| ~ ( sdtlseqdt0 @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX0 @ SX2 )
!= ( sdtpldt0 @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX2 @ SX0 )
!= ( sdtpldt0 @ SX2 @ SX1 ) ) )
| ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SX2 @ SX0 ) @ ( sdtpldt0 @ SX2 @ SX1 ) ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( aNaturalNumber0 @ SX2 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SX0 @ SX2 ) @ ( sdtpldt0 @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5965]) ).
thf(5984,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( ( sdtasdt0 @ SX1 @ SX0 )
!= ( sdtasdt0 @ SX2 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX0 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SX0 @ SX1 ) @ ( sdtasdt0 @ SX0 @ SX2 ) ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( SX0 = sz00 )
| ( SX1 = SX2 )
| ~ ( sdtlseqdt0 @ SX1 @ SX2 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SX1 @ SX0 ) @ ( sdtasdt0 @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5966]) ).
thf(5985,plain,
( ( ! [SX0: $i] :
( ( SX0 = sz10 )
| ( SX0 = sz00 )
| ~ ( aNaturalNumber0 @ SX0 )
| ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SX0 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SX0 ) @ SX0 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5976]) ).
thf(5986,plain,
( ( ~ ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5940]) ).
thf(5987,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5959]) ).
thf(5988,plain,
( ( ~ ( ~ ( ( sz10 != sz00 ) )
| ~ ( aNaturalNumber0 @ sz10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5946]) ).
thf(5989,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
| ~ ( isPrime0 @ xr ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5941]) ).
thf(5990,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
| ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5942]) ).
thf(5991,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= ( sdtpldt0 @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtpldt0 @ SX1 @ SX0 )
!= ( sdtpldt0 @ SX2 @ SX0 ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5957]) ).
thf(5992,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5954]) ).
thf(5993,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5967]) ).
thf(5994,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ SX0 )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5977]) ).
thf(5995,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5951]) ).
thf(5996,plain,
( ( ~ ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5939]) ).
thf(5997,plain,
( ( ~ ( ~ ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) )
| ~ ( sdtlseqdt0 @ xp @ xk ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5943]) ).
thf(5998,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK39_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK40_SY98 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK38_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK37_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK35_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK36_SY97 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK34_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK32_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK33_SY96 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK31_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK30_SY95 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK27_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK28_SY94 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK26_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK25_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK23_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK24_SY93 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK22_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK20_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK21_SY92 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK19_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK17_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK18_SY91 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SX2 @ SX1 @ SX0 )
!= SX2 ) ) ) )
| ( SX2 = sz00 )
| ( SX2 = sz10 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK16_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK15_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK14_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ! [SX3: $i] :
( ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX2 @ SX3 ) )
| ~ ( aNaturalNumber0 @ SX3 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK12_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK11_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SX0
!= ( sdtasdt0 @ SX2 @ ( sK10_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK9_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( isPrime0 @ SX2 )
| ~ ( doDivides0 @ SX2 @ ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SX2 @ SX0 )
| ( doDivides0 @ SX2 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5933]) ).
thf(5999,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xm ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5936]) ).
thf(6000,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0 = sz00 )
| ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ( ( sdtasdt0 @ SX1 @ SX0 )
!= ( sdtasdt0 @ SX2 @ SX0 ) )
| ( SX1 = SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5958]) ).
thf(6001,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xm @ xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5937]) ).
thf(6002,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5955]) ).
thf(6003,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5934]) ).
thf(6004,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[5944]) ).
thf(6005,plain,
! [SV480: $i] :
( ( ! [SY540: $i] :
( ~ ( aNaturalNumber0 @ SV480 )
| ~ ( aNaturalNumber0 @ SY540 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ SV480 @ SY540 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5947]) ).
thf(6006,plain,
! [SV481: $i] :
( ( ! [SY541: $i] :
( ~ ( aNaturalNumber0 @ SV481 )
| ~ ( aNaturalNumber0 @ SY541 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ SV481 @ SY541 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5948]) ).
thf(6007,plain,
! [SV482: $i] :
( ( ! [SY542: $i] :
( ~ ( aNaturalNumber0 @ SV482 )
| ~ ( aNaturalNumber0 @ SY542 )
| ( ( sdtpldt0 @ SV482 @ SY542 )
= ( sdtpldt0 @ SY542 @ SV482 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5949]) ).
thf(6008,plain,
! [SV483: $i] :
( ( ! [SY543: $i,SY544: $i] :
( ~ ( aNaturalNumber0 @ SV483 )
| ~ ( aNaturalNumber0 @ SY543 )
| ~ ( aNaturalNumber0 @ SY544 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV483 @ SY543 ) @ SY544 )
= ( sdtpldt0 @ SV483 @ ( sdtpldt0 @ SY543 @ SY544 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5950]) ).
thf(6009,plain,
! [SV484: $i] :
( ( ! [SY545: $i] :
( ~ ( aNaturalNumber0 @ SV484 )
| ~ ( aNaturalNumber0 @ SY545 )
| ( ( sdtasdt0 @ SV484 @ SY545 )
= ( sdtasdt0 @ SY545 @ SV484 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5952]) ).
thf(6010,plain,
! [SV485: $i] :
( ( ! [SY546: $i,SY547: $i] :
( ~ ( aNaturalNumber0 @ SV485 )
| ~ ( aNaturalNumber0 @ SY546 )
| ~ ( aNaturalNumber0 @ SY547 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV485 @ SY546 ) @ SY547 )
= ( sdtasdt0 @ SV485 @ ( sdtasdt0 @ SY546 @ SY547 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5953]) ).
thf(6011,plain,
! [SV486: $i] :
( ( ! [SY548: $i] :
( ~ ( aNaturalNumber0 @ SV486 )
| ~ ( aNaturalNumber0 @ SY548 )
| ( ( sdtasdt0 @ SV486 @ SY548 )
!= sz00 )
| ( SV486 = sz00 )
| ( SY548 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5960]) ).
thf(6012,plain,
! [SV487: $i] :
( ( ~ ( aNaturalNumber0 @ SV487 )
| ( sdtlseqdt0 @ SV487 @ SV487 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5961]) ).
thf(6013,plain,
! [SV488: $i] :
( ( ! [SY549: $i] :
( ~ ( aNaturalNumber0 @ SV488 )
| ~ ( aNaturalNumber0 @ SY549 )
| ~ ( sdtlseqdt0 @ SV488 @ SY549 )
| ~ ( sdtlseqdt0 @ SY549 @ SV488 )
| ( SV488 = SY549 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5962]) ).
thf(6014,plain,
! [SV489: $i] :
( ( ! [SY550: $i,SY551: $i] :
( ~ ( aNaturalNumber0 @ SV489 )
| ~ ( aNaturalNumber0 @ SY550 )
| ~ ( aNaturalNumber0 @ SY551 )
| ~ ( sdtlseqdt0 @ SV489 @ SY550 )
| ~ ( sdtlseqdt0 @ SY550 @ SY551 )
| ( sdtlseqdt0 @ SV489 @ SY551 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5963]) ).
thf(6015,plain,
! [SV490: $i] :
( ( ! [SY552: $i] :
( ~ ( aNaturalNumber0 @ SV490 )
| ~ ( aNaturalNumber0 @ SY552 )
| ( SV490 = sz00 )
| ( sdtlseqdt0 @ SY552 @ ( sdtasdt0 @ SY552 @ SV490 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5968]) ).
thf(6016,plain,
( ( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[5969]) ).
thf(6017,plain,
! [SV491: $i] :
( ( ! [SY553: $i] :
( ~ ( aNaturalNumber0 @ SV491 )
| ~ ( aNaturalNumber0 @ SY553 )
| ( SV491 = SY553 )
| ~ ( sdtlseqdt0 @ SV491 @ SY553 )
| ( iLess0 @ SV491 @ SY553 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5970]) ).
thf(6018,plain,
! [SV492: $i] :
( ( ! [SY554: $i,SY555: $i] :
( ~ ( aNaturalNumber0 @ SV492 )
| ~ ( aNaturalNumber0 @ SY554 )
| ~ ( aNaturalNumber0 @ SY555 )
| ~ ( doDivides0 @ SV492 @ SY554 )
| ~ ( doDivides0 @ SY554 @ SY555 )
| ( doDivides0 @ SV492 @ SY555 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5971]) ).
thf(6019,plain,
! [SV493: $i] :
( ( ! [SY556: $i,SY557: $i] :
( ~ ( aNaturalNumber0 @ SV493 )
| ~ ( aNaturalNumber0 @ SY556 )
| ~ ( aNaturalNumber0 @ SY557 )
| ~ ( doDivides0 @ SV493 @ SY556 )
| ~ ( doDivides0 @ SV493 @ SY557 )
| ( doDivides0 @ SV493 @ ( sdtpldt0 @ SY556 @ SY557 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5972]) ).
thf(6020,plain,
! [SV494: $i] :
( ( ! [SY558: $i,SY559: $i] :
( ~ ( aNaturalNumber0 @ SV494 )
| ~ ( aNaturalNumber0 @ SY558 )
| ~ ( aNaturalNumber0 @ SY559 )
| ~ ( doDivides0 @ SV494 @ SY558 )
| ~ ( doDivides0 @ SV494 @ ( sdtpldt0 @ SY558 @ SY559 ) )
| ( doDivides0 @ SV494 @ SY559 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5973]) ).
thf(6021,plain,
! [SV495: $i] :
( ( ! [SY560: $i] :
( ~ ( aNaturalNumber0 @ SV495 )
| ~ ( aNaturalNumber0 @ SY560 )
| ( SY560 = sz00 )
| ~ ( doDivides0 @ SV495 @ SY560 )
| ( sdtlseqdt0 @ SV495 @ SY560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5974]) ).
thf(6022,plain,
! [SV496: $i] :
( ( ! [SY561: $i] :
( ~ ( aNaturalNumber0 @ SV496 )
| ~ ( aNaturalNumber0 @ SY561 )
| ( SV496 = sz00 )
| ~ ( doDivides0 @ SV496 @ SY561 )
| ! [SY562: $i] :
( ~ ( aNaturalNumber0 @ SY562 )
| ( ( sdtasdt0 @ SY562 @ ( sdtsldt0 @ SY561 @ SV496 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY562 @ SY561 ) @ SV496 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5975]) ).
thf(6023,plain,
! [SV497: $i] :
( ( ~ ( ~ ! [SY563: $i,SY564: $i] :
( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SY563 )
| ~ ( aNaturalNumber0 @ SY564 )
| ( ( sdtasdt0 @ SV497 @ ( sdtpldt0 @ SY563 @ SY564 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV497 @ SY563 ) @ ( sdtasdt0 @ SV497 @ SY564 ) ) ) )
| ~ ! [SY565: $i,SY566: $i] :
( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SY565 )
| ~ ( aNaturalNumber0 @ SY566 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY565 @ SY566 ) @ SV497 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY565 @ SV497 ) @ ( sdtasdt0 @ SY566 @ SV497 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5978]) ).
thf(6024,plain,
( ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5979]) ).
thf(6025,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
| ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5980]) ).
thf(6026,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5981]) ).
thf(6027,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xn ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5982]) ).
thf(6028,plain,
! [SV498: $i] :
( ( ! [SY567: $i] :
( ~ ( aNaturalNumber0 @ SV498 )
| ~ ( aNaturalNumber0 @ SY567 )
| ( SV498 = SY567 )
| ~ ( sdtlseqdt0 @ SV498 @ SY567 )
| ~ ( ~ ~ ( ~ ! [SY568: $i] :
( ~ ( aNaturalNumber0 @ SY568 )
| ( ( sdtpldt0 @ SV498 @ SY568 )
!= ( sdtpldt0 @ SY567 @ SY568 ) ) )
| ~ ~ ( ~ ! [SY569: $i] :
( ~ ( aNaturalNumber0 @ SY569 )
| ( ( sdtpldt0 @ SY569 @ SV498 )
!= ( sdtpldt0 @ SY569 @ SY567 ) ) )
| ~ ! [SY570: $i] :
( ~ ( aNaturalNumber0 @ SY570 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY570 @ SV498 ) @ ( sdtpldt0 @ SY570 @ SY567 ) ) ) ) )
| ~ ! [SY571: $i] :
( ~ ( aNaturalNumber0 @ SY571 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV498 @ SY571 ) @ ( sdtpldt0 @ SY567 @ SY571 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5983]) ).
thf(6029,plain,
! [SV499: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY572: $i,SY573: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY572 )
| ~ ( aNaturalNumber0 @ SY573 )
| ( SV499 = sz00 )
| ( SY572 = SY573 )
| ~ ( sdtlseqdt0 @ SY572 @ SY573 )
| ( ( sdtasdt0 @ SY572 @ SV499 )
!= ( sdtasdt0 @ SY573 @ SV499 ) ) )
| ~ ~ ( ~ ! [SY574: $i,SY575: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY574 )
| ~ ( aNaturalNumber0 @ SY575 )
| ( SV499 = sz00 )
| ( SY574 = SY575 )
| ~ ( sdtlseqdt0 @ SY574 @ SY575 )
| ( ( sdtasdt0 @ SV499 @ SY574 )
!= ( sdtasdt0 @ SV499 @ SY575 ) ) )
| ~ ! [SY576: $i,SY577: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY576 )
| ~ ( aNaturalNumber0 @ SY577 )
| ( SV499 = sz00 )
| ( SY576 = SY577 )
| ~ ( sdtlseqdt0 @ SY576 @ SY577 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SY576 ) @ ( sdtasdt0 @ SV499 @ SY577 ) ) ) ) )
| ~ ! [SY578: $i,SY579: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY578 )
| ~ ( aNaturalNumber0 @ SY579 )
| ( SV499 = sz00 )
| ( SY578 = SY579 )
| ~ ( sdtlseqdt0 @ SY578 @ SY579 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY578 @ SV499 ) @ ( sdtasdt0 @ SY579 @ SV499 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5984]) ).
thf(6030,plain,
! [SV500: $i] :
( ( ( SV500 = sz10 )
| ( SV500 = sz00 )
| ~ ( aNaturalNumber0 @ SV500 )
| ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV500 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV500 ) @ SV500 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV500 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5985]) ).
thf(6031,plain,
( ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5986]) ).
thf(6032,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5987]) ).
thf(6033,plain,
( ( ~ ( ( sz10 != sz00 ) )
| ~ ( aNaturalNumber0 @ sz10 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5988]) ).
thf(6034,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
| ~ ( isPrime0 @ xr ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5989]) ).
thf(6035,plain,
( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
| ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5990]) ).
thf(6036,plain,
! [SV501: $i] :
( ( ~ ( ~ ! [SY580: $i,SY581: $i] :
( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SY580 )
| ~ ( aNaturalNumber0 @ SY581 )
| ( ( sdtpldt0 @ SV501 @ SY580 )
!= ( sdtpldt0 @ SV501 @ SY581 ) )
| ( SY580 = SY581 ) )
| ~ ! [SY582: $i,SY583: $i] :
( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SY582 )
| ~ ( aNaturalNumber0 @ SY583 )
| ( ( sdtpldt0 @ SY582 @ SV501 )
!= ( sdtpldt0 @ SY583 @ SV501 ) )
| ( SY582 = SY583 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5991]) ).
thf(6037,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5992]) ).
thf(6038,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5993]) ).
thf(6039,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ SX0 )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5994]) ).
thf(6040,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5995]) ).
thf(6041,plain,
( ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5996]) ).
thf(6042,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) )
| ~ ( sdtlseqdt0 @ xp @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5997]) ).
thf(6043,plain,
! [SV502: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY584: $i,SY585: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY584 )
| ~ ( aNaturalNumber0 @ SY585 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY585
!= ( sdtasdt0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ SY585 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= SY585 ) ) ) )
| ( SY585 = sz00 )
| ( SY585 = sz10 )
| ! [SY586: $i] :
( ( ( sdtasdt0 @ SV502 @ SY584 )
!= ( sdtasdt0 @ SY585 @ SY586 ) )
| ~ ( aNaturalNumber0 @ SY586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY584 ) @ SY585 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY585 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( ( SY584
!= ( sdtasdt0 @ SY585 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) ) )
| ~ ! [SY587: $i,SY588: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY587 )
| ~ ( aNaturalNumber0 @ SY588 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY588
!= ( sdtasdt0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ SY588 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= SY588 ) ) ) )
| ( SY588 = sz00 )
| ( SY588 = sz10 )
| ! [SY589: $i] :
( ( ( sdtasdt0 @ SV502 @ SY587 )
!= ( sdtasdt0 @ SY588 @ SY589 ) )
| ~ ( aNaturalNumber0 @ SY589 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY587 ) @ SY588 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY588 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ( doDivides0 @ SY588 @ SY587 ) ) )
| ~ ~ ( ~ ! [SY590: $i,SY591: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY590 )
| ~ ( aNaturalNumber0 @ SY591 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY591
!= ( sdtasdt0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ SY591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= SY591 ) ) ) )
| ( SY591 = sz00 )
| ( SY591 = sz10 )
| ! [SY592: $i] :
( ( ( sdtasdt0 @ SV502 @ SY590 )
!= ( sdtasdt0 @ SY591 @ SY592 ) )
| ~ ( aNaturalNumber0 @ SY592 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY590 ) @ SY591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY591 @ SV502 )
| ~ ( ( SY590
!= ( sdtasdt0 @ SY591 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) ) )
| ~ ! [SY593: $i,SY594: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY593 )
| ~ ( aNaturalNumber0 @ SY594 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY594
!= ( sdtasdt0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ SY594 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= SY594 ) ) ) )
| ( SY594 = sz00 )
| ( SY594 = sz10 )
| ! [SY595: $i] :
( ( ( sdtasdt0 @ SV502 @ SY593 )
!= ( sdtasdt0 @ SY594 @ SY595 ) )
| ~ ( aNaturalNumber0 @ SY595 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY593 ) @ SY594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY594 @ SV502 )
| ( doDivides0 @ SY594 @ SY593 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY596: $i,SY597: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY596 )
| ~ ( aNaturalNumber0 @ SY597 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY597
!= ( sdtasdt0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ SY597 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= SY597 ) ) ) )
| ( SY597 = sz00 )
| ( SY597 = sz10 )
| ~ ( doDivides0 @ SY597 @ ( sdtasdt0 @ SV502 @ SY596 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY596 ) @ SY597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY597 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( ( SY596
!= ( sdtasdt0 @ SY597 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) ) )
| ~ ! [SY598: $i,SY599: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY598 )
| ~ ( aNaturalNumber0 @ SY599 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY599
!= ( sdtasdt0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ SY599 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= SY599 ) ) ) )
| ( SY599 = sz00 )
| ( SY599 = sz10 )
| ~ ( doDivides0 @ SY599 @ ( sdtasdt0 @ SV502 @ SY598 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY598 ) @ SY599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY599 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ( doDivides0 @ SY599 @ SY598 ) ) )
| ~ ~ ( ~ ! [SY600: $i,SY601: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY600 )
| ~ ( aNaturalNumber0 @ SY601 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY601
!= ( sdtasdt0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ SY601 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= SY601 ) ) ) )
| ( SY601 = sz00 )
| ( SY601 = sz10 )
| ~ ( doDivides0 @ SY601 @ ( sdtasdt0 @ SV502 @ SY600 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY600 ) @ SY601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY601 @ SV502 )
| ~ ( ( SY600
!= ( sdtasdt0 @ SY601 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) ) )
| ~ ! [SY602: $i,SY603: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY602 )
| ~ ( aNaturalNumber0 @ SY603 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY603
!= ( sdtasdt0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ SY603 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= SY603 ) ) ) )
| ( SY603 = sz00 )
| ( SY603 = sz10 )
| ~ ( doDivides0 @ SY603 @ ( sdtasdt0 @ SV502 @ SY602 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY602 ) @ SY603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY603 @ SV502 )
| ( doDivides0 @ SY603 @ SY602 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY604: $i,SY605: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY604 )
| ~ ( aNaturalNumber0 @ SY605 )
| ~ ( isPrime0 @ SY605 )
| ! [SY606: $i] :
( ( ( sdtasdt0 @ SV502 @ SY604 )
!= ( sdtasdt0 @ SY605 @ SY606 ) )
| ~ ( aNaturalNumber0 @ SY606 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY604 ) @ SY605 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY605 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( ( SY604
!= ( sdtasdt0 @ SY605 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) ) )
| ~ ! [SY607: $i,SY608: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY607 )
| ~ ( aNaturalNumber0 @ SY608 )
| ~ ( isPrime0 @ SY608 )
| ! [SY609: $i] :
( ( ( sdtasdt0 @ SV502 @ SY607 )
!= ( sdtasdt0 @ SY608 @ SY609 ) )
| ~ ( aNaturalNumber0 @ SY609 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY607 ) @ SY608 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY608 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ( doDivides0 @ SY608 @ SY607 ) ) )
| ~ ~ ( ~ ! [SY610: $i,SY611: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY610 )
| ~ ( aNaturalNumber0 @ SY611 )
| ~ ( isPrime0 @ SY611 )
| ! [SY612: $i] :
( ( ( sdtasdt0 @ SV502 @ SY610 )
!= ( sdtasdt0 @ SY611 @ SY612 ) )
| ~ ( aNaturalNumber0 @ SY612 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY610 ) @ SY611 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY611 @ SV502 )
| ~ ( ( SY610
!= ( sdtasdt0 @ SY611 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) ) )
| ~ ! [SY613: $i,SY614: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY613 )
| ~ ( aNaturalNumber0 @ SY614 )
| ~ ( isPrime0 @ SY614 )
| ! [SY615: $i] :
( ( ( sdtasdt0 @ SV502 @ SY613 )
!= ( sdtasdt0 @ SY614 @ SY615 ) )
| ~ ( aNaturalNumber0 @ SY615 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY613 ) @ SY614 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY614 @ SV502 )
| ( doDivides0 @ SY614 @ SY613 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY616: $i,SY617: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY616 )
| ~ ( aNaturalNumber0 @ SY617 )
| ~ ( isPrime0 @ SY617 )
| ~ ( doDivides0 @ SY617 @ ( sdtasdt0 @ SV502 @ SY616 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY616 ) @ SY617 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY617 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( ( SY616
!= ( sdtasdt0 @ SY617 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) ) )
| ~ ! [SY618: $i,SY619: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY618 )
| ~ ( aNaturalNumber0 @ SY619 )
| ~ ( isPrime0 @ SY619 )
| ~ ( doDivides0 @ SY619 @ ( sdtasdt0 @ SV502 @ SY618 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY618 ) @ SY619 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY619 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ( doDivides0 @ SY619 @ SY618 ) ) )
| ~ ~ ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY620 )
| ~ ( aNaturalNumber0 @ SY621 )
| ~ ( isPrime0 @ SY621 )
| ~ ( doDivides0 @ SY621 @ ( sdtasdt0 @ SV502 @ SY620 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY620 ) @ SY621 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY621 @ SV502 )
| ~ ( ( SY620
!= ( sdtasdt0 @ SY621 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) ) )
| ~ ! [SY622: $i,SY623: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY622 )
| ~ ( aNaturalNumber0 @ SY623 )
| ~ ( isPrime0 @ SY623 )
| ~ ( doDivides0 @ SY623 @ ( sdtasdt0 @ SV502 @ SY622 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY622 ) @ SY623 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY623 @ SV502 )
| ( doDivides0 @ SY623 @ SY622 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[5998]) ).
thf(6044,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xm ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5999]) ).
thf(6045,plain,
! [SV503: $i] :
( ( ~ ( aNaturalNumber0 @ SV503 )
| ( SV503 = sz00 )
| ~ ( ~ ! [SY624: $i,SY625: $i] :
( ~ ( aNaturalNumber0 @ SY624 )
| ~ ( aNaturalNumber0 @ SY625 )
| ( ( sdtasdt0 @ SV503 @ SY624 )
!= ( sdtasdt0 @ SV503 @ SY625 ) )
| ( SY624 = SY625 ) )
| ~ ! [SY626: $i,SY627: $i] :
( ~ ( aNaturalNumber0 @ SY626 )
| ~ ( aNaturalNumber0 @ SY627 )
| ( ( sdtasdt0 @ SY626 @ SV503 )
!= ( sdtasdt0 @ SY627 @ SV503 ) )
| ( SY626 = SY627 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6000]) ).
thf(6046,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xm @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6001]) ).
thf(6047,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6002]) ).
thf(6048,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6003]) ).
thf(6049,plain,
! [SV504: $i,SV480: $i] :
( ( ~ ( aNaturalNumber0 @ SV480 )
| ~ ( aNaturalNumber0 @ SV504 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ SV480 @ SV504 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6005]) ).
thf(6050,plain,
! [SV505: $i,SV481: $i] :
( ( ~ ( aNaturalNumber0 @ SV481 )
| ~ ( aNaturalNumber0 @ SV505 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ SV481 @ SV505 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6006]) ).
thf(6051,plain,
! [SV506: $i,SV482: $i] :
( ( ~ ( aNaturalNumber0 @ SV482 )
| ~ ( aNaturalNumber0 @ SV506 )
| ( ( sdtpldt0 @ SV482 @ SV506 )
= ( sdtpldt0 @ SV506 @ SV482 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6007]) ).
thf(6052,plain,
! [SV507: $i,SV483: $i] :
( ( ! [SY628: $i] :
( ~ ( aNaturalNumber0 @ SV483 )
| ~ ( aNaturalNumber0 @ SV507 )
| ~ ( aNaturalNumber0 @ SY628 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV483 @ SV507 ) @ SY628 )
= ( sdtpldt0 @ SV483 @ ( sdtpldt0 @ SV507 @ SY628 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6008]) ).
thf(6053,plain,
! [SV508: $i,SV484: $i] :
( ( ~ ( aNaturalNumber0 @ SV484 )
| ~ ( aNaturalNumber0 @ SV508 )
| ( ( sdtasdt0 @ SV484 @ SV508 )
= ( sdtasdt0 @ SV508 @ SV484 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6009]) ).
thf(6054,plain,
! [SV509: $i,SV485: $i] :
( ( ! [SY629: $i] :
( ~ ( aNaturalNumber0 @ SV485 )
| ~ ( aNaturalNumber0 @ SV509 )
| ~ ( aNaturalNumber0 @ SY629 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV485 @ SV509 ) @ SY629 )
= ( sdtasdt0 @ SV485 @ ( sdtasdt0 @ SV509 @ SY629 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6010]) ).
thf(6055,plain,
! [SV510: $i,SV486: $i] :
( ( ~ ( aNaturalNumber0 @ SV486 )
| ~ ( aNaturalNumber0 @ SV510 )
| ( ( sdtasdt0 @ SV486 @ SV510 )
!= sz00 )
| ( SV486 = sz00 )
| ( SV510 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6011]) ).
thf(6056,plain,
! [SV487: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV487 ) )
= $true )
| ( ( sdtlseqdt0 @ SV487 @ SV487 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6012]) ).
thf(6057,plain,
! [SV511: $i,SV488: $i] :
( ( ~ ( aNaturalNumber0 @ SV488 )
| ~ ( aNaturalNumber0 @ SV511 )
| ~ ( sdtlseqdt0 @ SV488 @ SV511 )
| ~ ( sdtlseqdt0 @ SV511 @ SV488 )
| ( SV488 = SV511 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6013]) ).
thf(6058,plain,
! [SV512: $i,SV489: $i] :
( ( ! [SY630: $i] :
( ~ ( aNaturalNumber0 @ SV489 )
| ~ ( aNaturalNumber0 @ SV512 )
| ~ ( aNaturalNumber0 @ SY630 )
| ~ ( sdtlseqdt0 @ SV489 @ SV512 )
| ~ ( sdtlseqdt0 @ SV512 @ SY630 )
| ( sdtlseqdt0 @ SV489 @ SY630 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6014]) ).
thf(6059,plain,
! [SV513: $i,SV490: $i] :
( ( ~ ( aNaturalNumber0 @ SV490 )
| ~ ( aNaturalNumber0 @ SV513 )
| ( SV490 = sz00 )
| ( sdtlseqdt0 @ SV513 @ ( sdtasdt0 @ SV513 @ SV490 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6015]) ).
thf(6060,plain,
( ( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[6016]) ).
thf(6061,plain,
! [SV514: $i,SV491: $i] :
( ( ~ ( aNaturalNumber0 @ SV491 )
| ~ ( aNaturalNumber0 @ SV514 )
| ( SV491 = SV514 )
| ~ ( sdtlseqdt0 @ SV491 @ SV514 )
| ( iLess0 @ SV491 @ SV514 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6017]) ).
thf(6062,plain,
! [SV515: $i,SV492: $i] :
( ( ! [SY631: $i] :
( ~ ( aNaturalNumber0 @ SV492 )
| ~ ( aNaturalNumber0 @ SV515 )
| ~ ( aNaturalNumber0 @ SY631 )
| ~ ( doDivides0 @ SV492 @ SV515 )
| ~ ( doDivides0 @ SV515 @ SY631 )
| ( doDivides0 @ SV492 @ SY631 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6018]) ).
thf(6063,plain,
! [SV516: $i,SV493: $i] :
( ( ! [SY632: $i] :
( ~ ( aNaturalNumber0 @ SV493 )
| ~ ( aNaturalNumber0 @ SV516 )
| ~ ( aNaturalNumber0 @ SY632 )
| ~ ( doDivides0 @ SV493 @ SV516 )
| ~ ( doDivides0 @ SV493 @ SY632 )
| ( doDivides0 @ SV493 @ ( sdtpldt0 @ SV516 @ SY632 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6019]) ).
thf(6064,plain,
! [SV517: $i,SV494: $i] :
( ( ! [SY633: $i] :
( ~ ( aNaturalNumber0 @ SV494 )
| ~ ( aNaturalNumber0 @ SV517 )
| ~ ( aNaturalNumber0 @ SY633 )
| ~ ( doDivides0 @ SV494 @ SV517 )
| ~ ( doDivides0 @ SV494 @ ( sdtpldt0 @ SV517 @ SY633 ) )
| ( doDivides0 @ SV494 @ SY633 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6020]) ).
thf(6065,plain,
! [SV518: $i,SV495: $i] :
( ( ~ ( aNaturalNumber0 @ SV495 )
| ~ ( aNaturalNumber0 @ SV518 )
| ( SV518 = sz00 )
| ~ ( doDivides0 @ SV495 @ SV518 )
| ( sdtlseqdt0 @ SV495 @ SV518 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6021]) ).
thf(6066,plain,
! [SV519: $i,SV496: $i] :
( ( ~ ( aNaturalNumber0 @ SV496 )
| ~ ( aNaturalNumber0 @ SV519 )
| ( SV496 = sz00 )
| ~ ( doDivides0 @ SV496 @ SV519 )
| ! [SY634: $i] :
( ~ ( aNaturalNumber0 @ SY634 )
| ( ( sdtasdt0 @ SY634 @ ( sdtsldt0 @ SV519 @ SV496 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY634 @ SV519 ) @ SV496 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6022]) ).
thf(6067,plain,
! [SV497: $i] :
( ( ~ ! [SY563: $i,SY564: $i] :
( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SY563 )
| ~ ( aNaturalNumber0 @ SY564 )
| ( ( sdtasdt0 @ SV497 @ ( sdtpldt0 @ SY563 @ SY564 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV497 @ SY563 ) @ ( sdtasdt0 @ SV497 @ SY564 ) ) ) )
| ~ ! [SY565: $i,SY566: $i] :
( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SY565 )
| ~ ( aNaturalNumber0 @ SY566 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY565 @ SY566 ) @ SV497 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY565 @ SV497 ) @ ( sdtasdt0 @ SY566 @ SV497 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6023]) ).
thf(6068,plain,
( ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6024]) ).
thf(6069,plain,
( ( ~ ( aNaturalNumber0 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6024]) ).
thf(6070,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6025]) ).
thf(6071,plain,
( ( ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6025]) ).
thf(6072,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6026]) ).
thf(6073,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6026]) ).
thf(6074,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6027]) ).
thf(6075,plain,
( ( ~ ~ ( sdtlseqdt0 @ xp @ xn ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6027]) ).
thf(6076,plain,
! [SV520: $i,SV498: $i] :
( ( ~ ( aNaturalNumber0 @ SV498 )
| ~ ( aNaturalNumber0 @ SV520 )
| ( SV498 = SV520 )
| ~ ( sdtlseqdt0 @ SV498 @ SV520 )
| ~ ( ~ ~ ( ~ ! [SY635: $i] :
( ~ ( aNaturalNumber0 @ SY635 )
| ( ( sdtpldt0 @ SV498 @ SY635 )
!= ( sdtpldt0 @ SV520 @ SY635 ) ) )
| ~ ~ ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) )
| ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) ) )
| ~ ! [SY638: $i] :
( ~ ( aNaturalNumber0 @ SY638 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV498 @ SY638 ) @ ( sdtpldt0 @ SV520 @ SY638 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6028]) ).
thf(6077,plain,
! [SV499: $i] :
( ( ~ ~ ( ~ ! [SY572: $i,SY573: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY572 )
| ~ ( aNaturalNumber0 @ SY573 )
| ( SV499 = sz00 )
| ( SY572 = SY573 )
| ~ ( sdtlseqdt0 @ SY572 @ SY573 )
| ( ( sdtasdt0 @ SY572 @ SV499 )
!= ( sdtasdt0 @ SY573 @ SV499 ) ) )
| ~ ~ ( ~ ! [SY574: $i,SY575: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY574 )
| ~ ( aNaturalNumber0 @ SY575 )
| ( SV499 = sz00 )
| ( SY574 = SY575 )
| ~ ( sdtlseqdt0 @ SY574 @ SY575 )
| ( ( sdtasdt0 @ SV499 @ SY574 )
!= ( sdtasdt0 @ SV499 @ SY575 ) ) )
| ~ ! [SY576: $i,SY577: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY576 )
| ~ ( aNaturalNumber0 @ SY577 )
| ( SV499 = sz00 )
| ( SY576 = SY577 )
| ~ ( sdtlseqdt0 @ SY576 @ SY577 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SY576 ) @ ( sdtasdt0 @ SV499 @ SY577 ) ) ) ) )
| ~ ! [SY578: $i,SY579: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY578 )
| ~ ( aNaturalNumber0 @ SY579 )
| ( SV499 = sz00 )
| ( SY578 = SY579 )
| ~ ( sdtlseqdt0 @ SY578 @ SY579 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY578 @ SV499 ) @ ( sdtasdt0 @ SY579 @ SV499 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6029]) ).
thf(6078,plain,
! [SV500: $i] :
( ( ( ( SV500 = sz10 )
| ( SV500 = sz00 )
| ~ ( aNaturalNumber0 @ SV500 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV500 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV500 ) @ SV500 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV500 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6030]) ).
thf(6079,plain,
( ( ~ ( ( xk != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6031]) ).
thf(6080,plain,
( ( ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6031]) ).
thf(6081,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6032]) ).
thf(6082,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6032]) ).
thf(6083,plain,
( ( ~ ( ( sz10 != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6033]) ).
thf(6084,plain,
( ( ~ ( aNaturalNumber0 @ sz10 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6033]) ).
thf(6085,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6034]) ).
thf(6086,plain,
( ( ~ ( isPrime0 @ xr ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6034]) ).
thf(6087,plain,
( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6035]) ).
thf(6088,plain,
( ( ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6035]) ).
thf(6089,plain,
! [SV501: $i] :
( ( ~ ! [SY580: $i,SY581: $i] :
( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SY580 )
| ~ ( aNaturalNumber0 @ SY581 )
| ( ( sdtpldt0 @ SV501 @ SY580 )
!= ( sdtpldt0 @ SV501 @ SY581 ) )
| ( SY580 = SY581 ) )
| ~ ! [SY582: $i,SY583: $i] :
( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SY582 )
| ~ ( aNaturalNumber0 @ SY583 )
| ( ( sdtpldt0 @ SY582 @ SV501 )
!= ( sdtpldt0 @ SY583 @ SV501 ) )
| ( SY582 = SY583 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6036]) ).
thf(6090,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6037]) ).
thf(6091,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6037]) ).
thf(6092,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6038]) ).
thf(6093,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6038]) ).
thf(6094,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ SX0 )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6039]) ).
thf(6095,plain,
( ( ~ ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6039]) ).
thf(6096,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6040]) ).
thf(6097,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6040]) ).
thf(6098,plain,
( ( ~ ( ( xk != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6041]) ).
thf(6099,plain,
( ( ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6041]) ).
thf(6100,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6042]) ).
thf(6101,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6042]) ).
thf(6102,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY584: $i,SY585: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY584 )
| ~ ( aNaturalNumber0 @ SY585 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY585
!= ( sdtasdt0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ SY585 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= SY585 ) ) ) )
| ( SY585 = sz00 )
| ( SY585 = sz10 )
| ! [SY586: $i] :
( ( ( sdtasdt0 @ SV502 @ SY584 )
!= ( sdtasdt0 @ SY585 @ SY586 ) )
| ~ ( aNaturalNumber0 @ SY586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY584 ) @ SY585 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY585 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( ( SY584
!= ( sdtasdt0 @ SY585 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) ) )
| ~ ! [SY587: $i,SY588: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY587 )
| ~ ( aNaturalNumber0 @ SY588 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY588
!= ( sdtasdt0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ SY588 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= SY588 ) ) ) )
| ( SY588 = sz00 )
| ( SY588 = sz10 )
| ! [SY589: $i] :
( ( ( sdtasdt0 @ SV502 @ SY587 )
!= ( sdtasdt0 @ SY588 @ SY589 ) )
| ~ ( aNaturalNumber0 @ SY589 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY587 ) @ SY588 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY588 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ( doDivides0 @ SY588 @ SY587 ) ) )
| ~ ~ ( ~ ! [SY590: $i,SY591: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY590 )
| ~ ( aNaturalNumber0 @ SY591 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY591
!= ( sdtasdt0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ SY591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= SY591 ) ) ) )
| ( SY591 = sz00 )
| ( SY591 = sz10 )
| ! [SY592: $i] :
( ( ( sdtasdt0 @ SV502 @ SY590 )
!= ( sdtasdt0 @ SY591 @ SY592 ) )
| ~ ( aNaturalNumber0 @ SY592 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY590 ) @ SY591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY591 @ SV502 )
| ~ ( ( SY590
!= ( sdtasdt0 @ SY591 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) ) )
| ~ ! [SY593: $i,SY594: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY593 )
| ~ ( aNaturalNumber0 @ SY594 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY594
!= ( sdtasdt0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ SY594 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= SY594 ) ) ) )
| ( SY594 = sz00 )
| ( SY594 = sz10 )
| ! [SY595: $i] :
( ( ( sdtasdt0 @ SV502 @ SY593 )
!= ( sdtasdt0 @ SY594 @ SY595 ) )
| ~ ( aNaturalNumber0 @ SY595 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY593 ) @ SY594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY594 @ SV502 )
| ( doDivides0 @ SY594 @ SY593 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY596: $i,SY597: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY596 )
| ~ ( aNaturalNumber0 @ SY597 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY597
!= ( sdtasdt0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ SY597 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= SY597 ) ) ) )
| ( SY597 = sz00 )
| ( SY597 = sz10 )
| ~ ( doDivides0 @ SY597 @ ( sdtasdt0 @ SV502 @ SY596 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY596 ) @ SY597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY597 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( ( SY596
!= ( sdtasdt0 @ SY597 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) ) )
| ~ ! [SY598: $i,SY599: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY598 )
| ~ ( aNaturalNumber0 @ SY599 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY599
!= ( sdtasdt0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ SY599 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= SY599 ) ) ) )
| ( SY599 = sz00 )
| ( SY599 = sz10 )
| ~ ( doDivides0 @ SY599 @ ( sdtasdt0 @ SV502 @ SY598 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY598 ) @ SY599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY599 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ( doDivides0 @ SY599 @ SY598 ) ) )
| ~ ~ ( ~ ! [SY600: $i,SY601: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY600 )
| ~ ( aNaturalNumber0 @ SY601 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY601
!= ( sdtasdt0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ SY601 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= SY601 ) ) ) )
| ( SY601 = sz00 )
| ( SY601 = sz10 )
| ~ ( doDivides0 @ SY601 @ ( sdtasdt0 @ SV502 @ SY600 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY600 ) @ SY601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY601 @ SV502 )
| ~ ( ( SY600
!= ( sdtasdt0 @ SY601 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) ) )
| ~ ! [SY602: $i,SY603: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY602 )
| ~ ( aNaturalNumber0 @ SY603 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY603
!= ( sdtasdt0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ SY603 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= SY603 ) ) ) )
| ( SY603 = sz00 )
| ( SY603 = sz10 )
| ~ ( doDivides0 @ SY603 @ ( sdtasdt0 @ SV502 @ SY602 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY602 ) @ SY603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY603 @ SV502 )
| ( doDivides0 @ SY603 @ SY602 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY604: $i,SY605: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY604 )
| ~ ( aNaturalNumber0 @ SY605 )
| ~ ( isPrime0 @ SY605 )
| ! [SY606: $i] :
( ( ( sdtasdt0 @ SV502 @ SY604 )
!= ( sdtasdt0 @ SY605 @ SY606 ) )
| ~ ( aNaturalNumber0 @ SY606 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY604 ) @ SY605 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY605 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( ( SY604
!= ( sdtasdt0 @ SY605 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) ) )
| ~ ! [SY607: $i,SY608: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY607 )
| ~ ( aNaturalNumber0 @ SY608 )
| ~ ( isPrime0 @ SY608 )
| ! [SY609: $i] :
( ( ( sdtasdt0 @ SV502 @ SY607 )
!= ( sdtasdt0 @ SY608 @ SY609 ) )
| ~ ( aNaturalNumber0 @ SY609 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY607 ) @ SY608 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY608 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ( doDivides0 @ SY608 @ SY607 ) ) )
| ~ ~ ( ~ ! [SY610: $i,SY611: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY610 )
| ~ ( aNaturalNumber0 @ SY611 )
| ~ ( isPrime0 @ SY611 )
| ! [SY612: $i] :
( ( ( sdtasdt0 @ SV502 @ SY610 )
!= ( sdtasdt0 @ SY611 @ SY612 ) )
| ~ ( aNaturalNumber0 @ SY612 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY610 ) @ SY611 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY611 @ SV502 )
| ~ ( ( SY610
!= ( sdtasdt0 @ SY611 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) ) )
| ~ ! [SY613: $i,SY614: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY613 )
| ~ ( aNaturalNumber0 @ SY614 )
| ~ ( isPrime0 @ SY614 )
| ! [SY615: $i] :
( ( ( sdtasdt0 @ SV502 @ SY613 )
!= ( sdtasdt0 @ SY614 @ SY615 ) )
| ~ ( aNaturalNumber0 @ SY615 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY613 ) @ SY614 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY614 @ SV502 )
| ( doDivides0 @ SY614 @ SY613 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY616: $i,SY617: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY616 )
| ~ ( aNaturalNumber0 @ SY617 )
| ~ ( isPrime0 @ SY617 )
| ~ ( doDivides0 @ SY617 @ ( sdtasdt0 @ SV502 @ SY616 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY616 ) @ SY617 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY617 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( ( SY616
!= ( sdtasdt0 @ SY617 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) ) )
| ~ ! [SY618: $i,SY619: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY618 )
| ~ ( aNaturalNumber0 @ SY619 )
| ~ ( isPrime0 @ SY619 )
| ~ ( doDivides0 @ SY619 @ ( sdtasdt0 @ SV502 @ SY618 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY618 ) @ SY619 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY619 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ( doDivides0 @ SY619 @ SY618 ) ) )
| ~ ~ ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY620 )
| ~ ( aNaturalNumber0 @ SY621 )
| ~ ( isPrime0 @ SY621 )
| ~ ( doDivides0 @ SY621 @ ( sdtasdt0 @ SV502 @ SY620 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY620 ) @ SY621 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY621 @ SV502 )
| ~ ( ( SY620
!= ( sdtasdt0 @ SY621 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) ) )
| ~ ! [SY622: $i,SY623: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY622 )
| ~ ( aNaturalNumber0 @ SY623 )
| ~ ( isPrime0 @ SY623 )
| ~ ( doDivides0 @ SY623 @ ( sdtasdt0 @ SV502 @ SY622 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY622 ) @ SY623 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY623 @ SV502 )
| ( doDivides0 @ SY623 @ SY622 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6043]) ).
thf(6103,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6044]) ).
thf(6104,plain,
( ( ~ ~ ( sdtlseqdt0 @ xp @ xm ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6044]) ).
thf(6105,plain,
! [SV503: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV503 ) )
= $true )
| ( ( ( SV503 = sz00 )
| ~ ( ~ ! [SY624: $i,SY625: $i] :
( ~ ( aNaturalNumber0 @ SY624 )
| ~ ( aNaturalNumber0 @ SY625 )
| ( ( sdtasdt0 @ SV503 @ SY624 )
!= ( sdtasdt0 @ SV503 @ SY625 ) )
| ( SY624 = SY625 ) )
| ~ ! [SY626: $i,SY627: $i] :
( ~ ( aNaturalNumber0 @ SY626 )
| ~ ( aNaturalNumber0 @ SY627 )
| ( ( sdtasdt0 @ SY626 @ SV503 )
!= ( sdtasdt0 @ SY627 @ SV503 ) )
| ( SY626 = SY627 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6045]) ).
thf(6106,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6046]) ).
thf(6107,plain,
( ( ~ ( sdtlseqdt0 @ xm @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6046]) ).
thf(6108,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6047]) ).
thf(6109,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6047]) ).
thf(6110,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6048]) ).
thf(6111,plain,
( ( ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6048]) ).
thf(6112,plain,
! [SV504: $i,SV480: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV480 )
| ~ ( aNaturalNumber0 @ SV504 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV480 @ SV504 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6049]) ).
thf(6113,plain,
! [SV505: $i,SV481: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV481 )
| ~ ( aNaturalNumber0 @ SV505 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV481 @ SV505 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6050]) ).
thf(6114,plain,
! [SV506: $i,SV482: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV482 )
| ~ ( aNaturalNumber0 @ SV506 ) )
= $true )
| ( ( ( sdtpldt0 @ SV482 @ SV506 )
= ( sdtpldt0 @ SV506 @ SV482 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6051]) ).
thf(6115,plain,
! [SV521: $i,SV507: $i,SV483: $i] :
( ( ~ ( aNaturalNumber0 @ SV483 )
| ~ ( aNaturalNumber0 @ SV507 )
| ~ ( aNaturalNumber0 @ SV521 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV483 @ SV507 ) @ SV521 )
= ( sdtpldt0 @ SV483 @ ( sdtpldt0 @ SV507 @ SV521 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6052]) ).
thf(6116,plain,
! [SV508: $i,SV484: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV484 )
| ~ ( aNaturalNumber0 @ SV508 ) )
= $true )
| ( ( ( sdtasdt0 @ SV484 @ SV508 )
= ( sdtasdt0 @ SV508 @ SV484 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6053]) ).
thf(6117,plain,
! [SV522: $i,SV509: $i,SV485: $i] :
( ( ~ ( aNaturalNumber0 @ SV485 )
| ~ ( aNaturalNumber0 @ SV509 )
| ~ ( aNaturalNumber0 @ SV522 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV485 @ SV509 ) @ SV522 )
= ( sdtasdt0 @ SV485 @ ( sdtasdt0 @ SV509 @ SV522 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6054]) ).
thf(6118,plain,
! [SV510: $i,SV486: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV486 )
| ~ ( aNaturalNumber0 @ SV510 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV486 @ SV510 )
!= sz00 )
| ( SV486 = sz00 )
| ( SV510 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6055]) ).
thf(6119,plain,
! [SV487: $i] :
( ( ( aNaturalNumber0 @ SV487 )
= $false )
| ( ( sdtlseqdt0 @ SV487 @ SV487 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6056]) ).
thf(6120,plain,
! [SV511: $i,SV488: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV488 )
| ~ ( aNaturalNumber0 @ SV511 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV488 @ SV511 )
| ~ ( sdtlseqdt0 @ SV511 @ SV488 )
| ( SV488 = SV511 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6057]) ).
thf(6121,plain,
! [SV523: $i,SV512: $i,SV489: $i] :
( ( ~ ( aNaturalNumber0 @ SV489 )
| ~ ( aNaturalNumber0 @ SV512 )
| ~ ( aNaturalNumber0 @ SV523 )
| ~ ( sdtlseqdt0 @ SV489 @ SV512 )
| ~ ( sdtlseqdt0 @ SV512 @ SV523 )
| ( sdtlseqdt0 @ SV489 @ SV523 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6058]) ).
thf(6122,plain,
! [SV513: $i,SV490: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV490 )
| ~ ( aNaturalNumber0 @ SV513 ) )
= $true )
| ( ( ( SV490 = sz00 )
| ( sdtlseqdt0 @ SV513 @ ( sdtasdt0 @ SV513 @ SV490 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6059]) ).
thf(6123,plain,
! [SV524: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV524 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6060]) ).
thf(6124,plain,
! [SV514: $i,SV491: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV491 )
| ~ ( aNaturalNumber0 @ SV514 ) )
= $true )
| ( ( ( SV491 = SV514 )
| ~ ( sdtlseqdt0 @ SV491 @ SV514 )
| ( iLess0 @ SV491 @ SV514 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6061]) ).
thf(6125,plain,
! [SV525: $i,SV515: $i,SV492: $i] :
( ( ~ ( aNaturalNumber0 @ SV492 )
| ~ ( aNaturalNumber0 @ SV515 )
| ~ ( aNaturalNumber0 @ SV525 )
| ~ ( doDivides0 @ SV492 @ SV515 )
| ~ ( doDivides0 @ SV515 @ SV525 )
| ( doDivides0 @ SV492 @ SV525 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6062]) ).
thf(6126,plain,
! [SV526: $i,SV516: $i,SV493: $i] :
( ( ~ ( aNaturalNumber0 @ SV493 )
| ~ ( aNaturalNumber0 @ SV516 )
| ~ ( aNaturalNumber0 @ SV526 )
| ~ ( doDivides0 @ SV493 @ SV516 )
| ~ ( doDivides0 @ SV493 @ SV526 )
| ( doDivides0 @ SV493 @ ( sdtpldt0 @ SV516 @ SV526 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6063]) ).
thf(6127,plain,
! [SV527: $i,SV517: $i,SV494: $i] :
( ( ~ ( aNaturalNumber0 @ SV494 )
| ~ ( aNaturalNumber0 @ SV517 )
| ~ ( aNaturalNumber0 @ SV527 )
| ~ ( doDivides0 @ SV494 @ SV517 )
| ~ ( doDivides0 @ SV494 @ ( sdtpldt0 @ SV517 @ SV527 ) )
| ( doDivides0 @ SV494 @ SV527 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6064]) ).
thf(6128,plain,
! [SV518: $i,SV495: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV495 )
| ~ ( aNaturalNumber0 @ SV518 ) )
= $true )
| ( ( ( SV518 = sz00 )
| ~ ( doDivides0 @ SV495 @ SV518 )
| ( sdtlseqdt0 @ SV495 @ SV518 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6065]) ).
thf(6129,plain,
! [SV519: $i,SV496: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV496 )
| ~ ( aNaturalNumber0 @ SV519 ) )
= $true )
| ( ( ( SV496 = sz00 )
| ~ ( doDivides0 @ SV496 @ SV519 )
| ! [SY634: $i] :
( ~ ( aNaturalNumber0 @ SY634 )
| ( ( sdtasdt0 @ SY634 @ ( sdtsldt0 @ SV519 @ SV496 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY634 @ SV519 ) @ SV496 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6066]) ).
thf(6130,plain,
! [SV497: $i] :
( ( ~ ! [SY563: $i,SY564: $i] :
( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SY563 )
| ~ ( aNaturalNumber0 @ SY564 )
| ( ( sdtasdt0 @ SV497 @ ( sdtpldt0 @ SY563 @ SY564 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV497 @ SY563 ) @ ( sdtasdt0 @ SV497 @ SY564 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6067]) ).
thf(6131,plain,
! [SV497: $i] :
( ( ~ ! [SY565: $i,SY566: $i] :
( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SY565 )
| ~ ( aNaturalNumber0 @ SY566 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY565 @ SY566 ) @ SV497 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY565 @ SV497 ) @ ( sdtasdt0 @ SY566 @ SV497 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6067]) ).
thf(6132,plain,
( ( ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6068]) ).
thf(6133,plain,
( ( aNaturalNumber0 @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6069]) ).
thf(6134,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6070]) ).
thf(6135,plain,
( ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6071]) ).
thf(6136,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6072]) ).
thf(6137,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6073]) ).
thf(6138,plain,
( ( ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6074]) ).
thf(6139,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xn ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6075]) ).
thf(6140,plain,
! [SV520: $i,SV498: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV498 )
| ~ ( aNaturalNumber0 @ SV520 ) )
= $true )
| ( ( ( SV498 = SV520 )
| ~ ( sdtlseqdt0 @ SV498 @ SV520 )
| ~ ( ~ ~ ( ~ ! [SY635: $i] :
( ~ ( aNaturalNumber0 @ SY635 )
| ( ( sdtpldt0 @ SV498 @ SY635 )
!= ( sdtpldt0 @ SV520 @ SY635 ) ) )
| ~ ~ ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) )
| ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) ) )
| ~ ! [SY638: $i] :
( ~ ( aNaturalNumber0 @ SY638 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV498 @ SY638 ) @ ( sdtpldt0 @ SV520 @ SY638 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6076]) ).
thf(6141,plain,
! [SV499: $i] :
( ( ~ ~ ( ~ ! [SY572: $i,SY573: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY572 )
| ~ ( aNaturalNumber0 @ SY573 )
| ( SV499 = sz00 )
| ( SY572 = SY573 )
| ~ ( sdtlseqdt0 @ SY572 @ SY573 )
| ( ( sdtasdt0 @ SY572 @ SV499 )
!= ( sdtasdt0 @ SY573 @ SV499 ) ) )
| ~ ~ ( ~ ! [SY574: $i,SY575: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY574 )
| ~ ( aNaturalNumber0 @ SY575 )
| ( SV499 = sz00 )
| ( SY574 = SY575 )
| ~ ( sdtlseqdt0 @ SY574 @ SY575 )
| ( ( sdtasdt0 @ SV499 @ SY574 )
!= ( sdtasdt0 @ SV499 @ SY575 ) ) )
| ~ ! [SY576: $i,SY577: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY576 )
| ~ ( aNaturalNumber0 @ SY577 )
| ( SV499 = sz00 )
| ( SY576 = SY577 )
| ~ ( sdtlseqdt0 @ SY576 @ SY577 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SY576 ) @ ( sdtasdt0 @ SV499 @ SY577 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6077]) ).
thf(6142,plain,
! [SV499: $i] :
( ( ~ ! [SY578: $i,SY579: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY578 )
| ~ ( aNaturalNumber0 @ SY579 )
| ( SV499 = sz00 )
| ( SY578 = SY579 )
| ~ ( sdtlseqdt0 @ SY578 @ SY579 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY578 @ SV499 ) @ ( sdtasdt0 @ SY579 @ SV499 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6077]) ).
thf(6143,plain,
! [SV500: $i] :
( ( ( SV500 = sz10 )
= $true )
| ( ( ( SV500 = sz00 )
| ~ ( aNaturalNumber0 @ SV500 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV500 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV500 ) @ SV500 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV500 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6078]) ).
thf(6144,plain,
( ( ( xk != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6079]) ).
thf(6145,plain,
( ( ( xk != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6080]) ).
thf(6146,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6081]) ).
thf(6147,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6082]) ).
thf(6148,plain,
( ( ( sz10 != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6083]) ).
thf(6149,plain,
( ( aNaturalNumber0 @ sz10 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6084]) ).
thf(6150,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6085]) ).
thf(6151,plain,
( ( isPrime0 @ xr )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6086]) ).
thf(6152,plain,
( ( ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6087]) ).
thf(6153,plain,
( ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6088]) ).
thf(6154,plain,
! [SV501: $i] :
( ( ~ ! [SY580: $i,SY581: $i] :
( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SY580 )
| ~ ( aNaturalNumber0 @ SY581 )
| ( ( sdtpldt0 @ SV501 @ SY580 )
!= ( sdtpldt0 @ SV501 @ SY581 ) )
| ( SY580 = SY581 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6089]) ).
thf(6155,plain,
! [SV501: $i] :
( ( ~ ! [SY582: $i,SY583: $i] :
( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SY582 )
| ~ ( aNaturalNumber0 @ SY583 )
| ( ( sdtpldt0 @ SY582 @ SV501 )
!= ( sdtpldt0 @ SY583 @ SV501 ) )
| ( SY582 = SY583 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6089]) ).
thf(6156,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6090]) ).
thf(6157,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6091]) ).
thf(6158,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6092]) ).
thf(6159,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6093]) ).
thf(6160,plain,
( ( ! [SX0: $i] :
( ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ SX0 )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6094]) ).
thf(6161,plain,
( ( ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6095]) ).
thf(6162,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6096]) ).
thf(6163,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6097]) ).
thf(6164,plain,
( ( ( xk != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6098]) ).
thf(6165,plain,
( ( ( xk != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6099]) ).
thf(6166,plain,
( ( ~ ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6100]) ).
thf(6167,plain,
( ( sdtlseqdt0 @ xp @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6101]) ).
thf(6168,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY584: $i,SY585: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY584 )
| ~ ( aNaturalNumber0 @ SY585 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY585
!= ( sdtasdt0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ SY585 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= SY585 ) ) ) )
| ( SY585 = sz00 )
| ( SY585 = sz10 )
| ! [SY586: $i] :
( ( ( sdtasdt0 @ SV502 @ SY584 )
!= ( sdtasdt0 @ SY585 @ SY586 ) )
| ~ ( aNaturalNumber0 @ SY586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY584 ) @ SY585 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY585 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( ( SY584
!= ( sdtasdt0 @ SY585 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) ) )
| ~ ! [SY587: $i,SY588: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY587 )
| ~ ( aNaturalNumber0 @ SY588 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY588
!= ( sdtasdt0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ SY588 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= SY588 ) ) ) )
| ( SY588 = sz00 )
| ( SY588 = sz10 )
| ! [SY589: $i] :
( ( ( sdtasdt0 @ SV502 @ SY587 )
!= ( sdtasdt0 @ SY588 @ SY589 ) )
| ~ ( aNaturalNumber0 @ SY589 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY587 ) @ SY588 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY588 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ( doDivides0 @ SY588 @ SY587 ) ) )
| ~ ~ ( ~ ! [SY590: $i,SY591: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY590 )
| ~ ( aNaturalNumber0 @ SY591 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY591
!= ( sdtasdt0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ SY591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= SY591 ) ) ) )
| ( SY591 = sz00 )
| ( SY591 = sz10 )
| ! [SY592: $i] :
( ( ( sdtasdt0 @ SV502 @ SY590 )
!= ( sdtasdt0 @ SY591 @ SY592 ) )
| ~ ( aNaturalNumber0 @ SY592 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY590 ) @ SY591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY591 @ SV502 )
| ~ ( ( SY590
!= ( sdtasdt0 @ SY591 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) ) )
| ~ ! [SY593: $i,SY594: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY593 )
| ~ ( aNaturalNumber0 @ SY594 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY594
!= ( sdtasdt0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ SY594 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= SY594 ) ) ) )
| ( SY594 = sz00 )
| ( SY594 = sz10 )
| ! [SY595: $i] :
( ( ( sdtasdt0 @ SV502 @ SY593 )
!= ( sdtasdt0 @ SY594 @ SY595 ) )
| ~ ( aNaturalNumber0 @ SY595 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY593 ) @ SY594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY594 @ SV502 )
| ( doDivides0 @ SY594 @ SY593 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY596: $i,SY597: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY596 )
| ~ ( aNaturalNumber0 @ SY597 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY597
!= ( sdtasdt0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ SY597 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= SY597 ) ) ) )
| ( SY597 = sz00 )
| ( SY597 = sz10 )
| ~ ( doDivides0 @ SY597 @ ( sdtasdt0 @ SV502 @ SY596 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY596 ) @ SY597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY597 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( ( SY596
!= ( sdtasdt0 @ SY597 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) ) )
| ~ ! [SY598: $i,SY599: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY598 )
| ~ ( aNaturalNumber0 @ SY599 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY599
!= ( sdtasdt0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ SY599 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= SY599 ) ) ) )
| ( SY599 = sz00 )
| ( SY599 = sz10 )
| ~ ( doDivides0 @ SY599 @ ( sdtasdt0 @ SV502 @ SY598 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY598 ) @ SY599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY599 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ( doDivides0 @ SY599 @ SY598 ) ) )
| ~ ~ ( ~ ! [SY600: $i,SY601: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY600 )
| ~ ( aNaturalNumber0 @ SY601 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY601
!= ( sdtasdt0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ SY601 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= SY601 ) ) ) )
| ( SY601 = sz00 )
| ( SY601 = sz10 )
| ~ ( doDivides0 @ SY601 @ ( sdtasdt0 @ SV502 @ SY600 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY600 ) @ SY601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY601 @ SV502 )
| ~ ( ( SY600
!= ( sdtasdt0 @ SY601 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) ) )
| ~ ! [SY602: $i,SY603: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY602 )
| ~ ( aNaturalNumber0 @ SY603 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY603
!= ( sdtasdt0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ SY603 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= SY603 ) ) ) )
| ( SY603 = sz00 )
| ( SY603 = sz10 )
| ~ ( doDivides0 @ SY603 @ ( sdtasdt0 @ SV502 @ SY602 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY602 ) @ SY603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY603 @ SV502 )
| ( doDivides0 @ SY603 @ SY602 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6102]) ).
thf(6169,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY604: $i,SY605: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY604 )
| ~ ( aNaturalNumber0 @ SY605 )
| ~ ( isPrime0 @ SY605 )
| ! [SY606: $i] :
( ( ( sdtasdt0 @ SV502 @ SY604 )
!= ( sdtasdt0 @ SY605 @ SY606 ) )
| ~ ( aNaturalNumber0 @ SY606 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY604 ) @ SY605 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY605 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( ( SY604
!= ( sdtasdt0 @ SY605 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) ) )
| ~ ! [SY607: $i,SY608: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY607 )
| ~ ( aNaturalNumber0 @ SY608 )
| ~ ( isPrime0 @ SY608 )
| ! [SY609: $i] :
( ( ( sdtasdt0 @ SV502 @ SY607 )
!= ( sdtasdt0 @ SY608 @ SY609 ) )
| ~ ( aNaturalNumber0 @ SY609 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY607 ) @ SY608 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY608 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ( doDivides0 @ SY608 @ SY607 ) ) )
| ~ ~ ( ~ ! [SY610: $i,SY611: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY610 )
| ~ ( aNaturalNumber0 @ SY611 )
| ~ ( isPrime0 @ SY611 )
| ! [SY612: $i] :
( ( ( sdtasdt0 @ SV502 @ SY610 )
!= ( sdtasdt0 @ SY611 @ SY612 ) )
| ~ ( aNaturalNumber0 @ SY612 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY610 ) @ SY611 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY611 @ SV502 )
| ~ ( ( SY610
!= ( sdtasdt0 @ SY611 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) ) )
| ~ ! [SY613: $i,SY614: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY613 )
| ~ ( aNaturalNumber0 @ SY614 )
| ~ ( isPrime0 @ SY614 )
| ! [SY615: $i] :
( ( ( sdtasdt0 @ SV502 @ SY613 )
!= ( sdtasdt0 @ SY614 @ SY615 ) )
| ~ ( aNaturalNumber0 @ SY615 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY613 ) @ SY614 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY614 @ SV502 )
| ( doDivides0 @ SY614 @ SY613 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY616: $i,SY617: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY616 )
| ~ ( aNaturalNumber0 @ SY617 )
| ~ ( isPrime0 @ SY617 )
| ~ ( doDivides0 @ SY617 @ ( sdtasdt0 @ SV502 @ SY616 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY616 ) @ SY617 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY617 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( ( SY616
!= ( sdtasdt0 @ SY617 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) ) )
| ~ ! [SY618: $i,SY619: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY618 )
| ~ ( aNaturalNumber0 @ SY619 )
| ~ ( isPrime0 @ SY619 )
| ~ ( doDivides0 @ SY619 @ ( sdtasdt0 @ SV502 @ SY618 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY618 ) @ SY619 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY619 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ( doDivides0 @ SY619 @ SY618 ) ) )
| ~ ~ ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY620 )
| ~ ( aNaturalNumber0 @ SY621 )
| ~ ( isPrime0 @ SY621 )
| ~ ( doDivides0 @ SY621 @ ( sdtasdt0 @ SV502 @ SY620 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY620 ) @ SY621 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY621 @ SV502 )
| ~ ( ( SY620
!= ( sdtasdt0 @ SY621 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) ) )
| ~ ! [SY622: $i,SY623: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY622 )
| ~ ( aNaturalNumber0 @ SY623 )
| ~ ( isPrime0 @ SY623 )
| ~ ( doDivides0 @ SY623 @ ( sdtasdt0 @ SV502 @ SY622 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY622 ) @ SY623 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY623 @ SV502 )
| ( doDivides0 @ SY623 @ SY622 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6102]) ).
thf(6170,plain,
( ( ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6103]) ).
thf(6171,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6104]) ).
thf(6172,plain,
! [SV503: $i] :
( ( ( aNaturalNumber0 @ SV503 )
= $false )
| ( ( ( SV503 = sz00 )
| ~ ( ~ ! [SY624: $i,SY625: $i] :
( ~ ( aNaturalNumber0 @ SY624 )
| ~ ( aNaturalNumber0 @ SY625 )
| ( ( sdtasdt0 @ SV503 @ SY624 )
!= ( sdtasdt0 @ SV503 @ SY625 ) )
| ( SY624 = SY625 ) )
| ~ ! [SY626: $i,SY627: $i] :
( ~ ( aNaturalNumber0 @ SY626 )
| ~ ( aNaturalNumber0 @ SY627 )
| ( ( sdtasdt0 @ SY626 @ SV503 )
!= ( sdtasdt0 @ SY627 @ SV503 ) )
| ( SY626 = SY627 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6105]) ).
thf(6173,plain,
( ( ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6106]) ).
thf(6174,plain,
( ( sdtlseqdt0 @ xm @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6107]) ).
thf(6175,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6108]) ).
thf(6176,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6109]) ).
thf(6177,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6110]) ).
thf(6178,plain,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6111]) ).
thf(6179,plain,
! [SV504: $i,SV480: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV480 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV504 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV480 @ SV504 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6112]) ).
thf(6180,plain,
! [SV505: $i,SV481: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV481 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV505 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV481 @ SV505 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6113]) ).
thf(6181,plain,
! [SV506: $i,SV482: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV482 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV506 ) )
= $true )
| ( ( ( sdtpldt0 @ SV482 @ SV506 )
= ( sdtpldt0 @ SV506 @ SV482 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6114]) ).
thf(6182,plain,
! [SV521: $i,SV507: $i,SV483: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV483 )
| ~ ( aNaturalNumber0 @ SV507 )
| ~ ( aNaturalNumber0 @ SV521 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV483 @ SV507 ) @ SV521 )
= ( sdtpldt0 @ SV483 @ ( sdtpldt0 @ SV507 @ SV521 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6115]) ).
thf(6183,plain,
! [SV508: $i,SV484: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV484 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV508 ) )
= $true )
| ( ( ( sdtasdt0 @ SV484 @ SV508 )
= ( sdtasdt0 @ SV508 @ SV484 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6116]) ).
thf(6184,plain,
! [SV522: $i,SV509: $i,SV485: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV485 )
| ~ ( aNaturalNumber0 @ SV509 )
| ~ ( aNaturalNumber0 @ SV522 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV485 @ SV509 ) @ SV522 )
= ( sdtasdt0 @ SV485 @ ( sdtasdt0 @ SV509 @ SV522 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6117]) ).
thf(6185,plain,
! [SV510: $i,SV486: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV486 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV510 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV486 @ SV510 )
!= sz00 )
| ( SV486 = sz00 )
| ( SV510 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6118]) ).
thf(6186,plain,
! [SV511: $i,SV488: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV488 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV511 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV488 @ SV511 )
| ~ ( sdtlseqdt0 @ SV511 @ SV488 )
| ( SV488 = SV511 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6120]) ).
thf(6187,plain,
! [SV523: $i,SV512: $i,SV489: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV489 )
| ~ ( aNaturalNumber0 @ SV512 )
| ~ ( aNaturalNumber0 @ SV523 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV489 @ SV512 )
| ~ ( sdtlseqdt0 @ SV512 @ SV523 )
| ( sdtlseqdt0 @ SV489 @ SV523 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6121]) ).
thf(6188,plain,
! [SV513: $i,SV490: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV490 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV513 ) )
= $true )
| ( ( ( SV490 = sz00 )
| ( sdtlseqdt0 @ SV513 @ ( sdtasdt0 @ SV513 @ SV490 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6122]) ).
thf(6189,plain,
! [SV524: $i] :
( ( ( aNaturalNumber0 @ SV524 )
= $false )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6123]) ).
thf(6190,plain,
! [SV514: $i,SV491: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV491 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV514 ) )
= $true )
| ( ( ( SV491 = SV514 )
| ~ ( sdtlseqdt0 @ SV491 @ SV514 )
| ( iLess0 @ SV491 @ SV514 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6124]) ).
thf(6191,plain,
! [SV525: $i,SV515: $i,SV492: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV492 )
| ~ ( aNaturalNumber0 @ SV515 )
| ~ ( aNaturalNumber0 @ SV525 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV492 @ SV515 )
| ~ ( doDivides0 @ SV515 @ SV525 )
| ( doDivides0 @ SV492 @ SV525 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6125]) ).
thf(6192,plain,
! [SV526: $i,SV516: $i,SV493: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV493 )
| ~ ( aNaturalNumber0 @ SV516 )
| ~ ( aNaturalNumber0 @ SV526 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV493 @ SV516 )
| ~ ( doDivides0 @ SV493 @ SV526 )
| ( doDivides0 @ SV493 @ ( sdtpldt0 @ SV516 @ SV526 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6126]) ).
thf(6193,plain,
! [SV527: $i,SV517: $i,SV494: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV494 )
| ~ ( aNaturalNumber0 @ SV517 )
| ~ ( aNaturalNumber0 @ SV527 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV494 @ SV517 )
| ~ ( doDivides0 @ SV494 @ ( sdtpldt0 @ SV517 @ SV527 ) )
| ( doDivides0 @ SV494 @ SV527 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6127]) ).
thf(6194,plain,
! [SV518: $i,SV495: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV495 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV518 ) )
= $true )
| ( ( ( SV518 = sz00 )
| ~ ( doDivides0 @ SV495 @ SV518 )
| ( sdtlseqdt0 @ SV495 @ SV518 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6128]) ).
thf(6195,plain,
! [SV519: $i,SV496: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV496 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV519 ) )
= $true )
| ( ( ( SV496 = sz00 )
| ~ ( doDivides0 @ SV496 @ SV519 )
| ! [SY634: $i] :
( ~ ( aNaturalNumber0 @ SY634 )
| ( ( sdtasdt0 @ SY634 @ ( sdtsldt0 @ SV519 @ SV496 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY634 @ SV519 ) @ SV496 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6129]) ).
thf(6196,plain,
! [SV497: $i] :
( ( ! [SY563: $i,SY564: $i] :
( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SY563 )
| ~ ( aNaturalNumber0 @ SY564 )
| ( ( sdtasdt0 @ SV497 @ ( sdtpldt0 @ SY563 @ SY564 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV497 @ SY563 ) @ ( sdtasdt0 @ SV497 @ SY564 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6130]) ).
thf(6197,plain,
! [SV497: $i] :
( ( ! [SY565: $i,SY566: $i] :
( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SY565 )
| ~ ( aNaturalNumber0 @ SY566 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY565 @ SY566 ) @ SV497 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY565 @ SV497 ) @ ( sdtasdt0 @ SY566 @ SV497 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6131]) ).
thf(6198,plain,
( ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6132]) ).
thf(6199,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6134]) ).
thf(6200,plain,
! [SV528: $i] :
( ( ! [SY639: $i] :
( ~ ( aNaturalNumber0 @ SV528 )
| ~ ( aNaturalNumber0 @ SY639 )
| ( SY639 != SV528 )
| ( sdtlseqdt0 @ SV528 @ SY639 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6136]) ).
thf(6201,plain,
! [SV529: $i] :
( ( ! [SY640: $i] :
( ~ ( aNaturalNumber0 @ SV529 )
| ~ ( aNaturalNumber0 @ SY640 )
| ( sdtlseqdt0 @ SY640 @ SV529 )
| ( sdtlseqdt0 @ SV529 @ SY640 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6137]) ).
thf(6202,plain,
! [SV530: $i] :
( ( ( ( sdtpldt0 @ xp @ SV530 )
!= xn )
| ~ ( aNaturalNumber0 @ SV530 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6138]) ).
thf(6203,plain,
( ( sdtlseqdt0 @ xp @ xn )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6139]) ).
thf(6204,plain,
! [SV520: $i,SV498: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV498 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV520 ) )
= $true )
| ( ( ( SV498 = SV520 )
| ~ ( sdtlseqdt0 @ SV498 @ SV520 )
| ~ ( ~ ~ ( ~ ! [SY635: $i] :
( ~ ( aNaturalNumber0 @ SY635 )
| ( ( sdtpldt0 @ SV498 @ SY635 )
!= ( sdtpldt0 @ SV520 @ SY635 ) ) )
| ~ ~ ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) )
| ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) ) )
| ~ ! [SY638: $i] :
( ~ ( aNaturalNumber0 @ SY638 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV498 @ SY638 ) @ ( sdtpldt0 @ SV520 @ SY638 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6140]) ).
thf(6205,plain,
! [SV499: $i] :
( ( ~ ( ~ ! [SY572: $i,SY573: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY572 )
| ~ ( aNaturalNumber0 @ SY573 )
| ( SV499 = sz00 )
| ( SY572 = SY573 )
| ~ ( sdtlseqdt0 @ SY572 @ SY573 )
| ( ( sdtasdt0 @ SY572 @ SV499 )
!= ( sdtasdt0 @ SY573 @ SV499 ) ) )
| ~ ~ ( ~ ! [SY574: $i,SY575: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY574 )
| ~ ( aNaturalNumber0 @ SY575 )
| ( SV499 = sz00 )
| ( SY574 = SY575 )
| ~ ( sdtlseqdt0 @ SY574 @ SY575 )
| ( ( sdtasdt0 @ SV499 @ SY574 )
!= ( sdtasdt0 @ SV499 @ SY575 ) ) )
| ~ ! [SY576: $i,SY577: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY576 )
| ~ ( aNaturalNumber0 @ SY577 )
| ( SV499 = sz00 )
| ( SY576 = SY577 )
| ~ ( sdtlseqdt0 @ SY576 @ SY577 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SY576 ) @ ( sdtasdt0 @ SV499 @ SY577 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6141]) ).
thf(6206,plain,
! [SV499: $i] :
( ( ! [SY578: $i,SY579: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY578 )
| ~ ( aNaturalNumber0 @ SY579 )
| ( SV499 = sz00 )
| ( SY578 = SY579 )
| ~ ( sdtlseqdt0 @ SY578 @ SY579 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY578 @ SV499 ) @ ( sdtasdt0 @ SY579 @ SV499 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6142]) ).
thf(6207,plain,
! [SV500: $i] :
( ( ( SV500 = sz00 )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV500 ) )
= $true )
| ( ( SV500 = sz10 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV500 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV500 ) @ SV500 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV500 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6143]) ).
thf(6208,plain,
( ( xk = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6144]) ).
thf(6209,plain,
( ( xk = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6145]) ).
thf(6210,plain,
! [SV531: $i] :
( ( ! [SY641: $i] :
( ~ ( aNaturalNumber0 @ SV531 )
| ~ ( aNaturalNumber0 @ SY641 )
| ( ( sdtpldt0 @ SV531 @ SY641 )
!= sz00 )
| ( SV531 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6146]) ).
thf(6211,plain,
! [SV532: $i] :
( ( ! [SY642: $i] :
( ~ ( aNaturalNumber0 @ SV532 )
| ~ ( aNaturalNumber0 @ SY642 )
| ( ( sdtpldt0 @ SV532 @ SY642 )
!= sz00 )
| ( SY642 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6147]) ).
thf(6212,plain,
( ( sz10 = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6148]) ).
thf(6213,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
| ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6150]) ).
thf(6214,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6152]) ).
thf(6215,plain,
! [SV501: $i] :
( ( ! [SY580: $i,SY581: $i] :
( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SY580 )
| ~ ( aNaturalNumber0 @ SY581 )
| ( ( sdtpldt0 @ SV501 @ SY580 )
!= ( sdtpldt0 @ SV501 @ SY581 ) )
| ( SY580 = SY581 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6154]) ).
thf(6216,plain,
! [SV501: $i] :
( ( ! [SY582: $i,SY583: $i] :
( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SY582 )
| ~ ( aNaturalNumber0 @ SY583 )
| ( ( sdtpldt0 @ SY582 @ SV501 )
!= ( sdtpldt0 @ SY583 @ SV501 ) )
| ( SY582 = SY583 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6155]) ).
thf(6217,plain,
! [SV533: $i] :
( ( ~ ( aNaturalNumber0 @ SV533 )
| ( ( sdtasdt0 @ SV533 @ sz10 )
= SV533 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6156]) ).
thf(6218,plain,
! [SV534: $i] :
( ( ~ ( aNaturalNumber0 @ SV534 )
| ( SV534
= ( sdtasdt0 @ sz10 @ SV534 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6157]) ).
thf(6219,plain,
! [SV535: $i] :
( ( ~ ( aNaturalNumber0 @ SV535 )
| ( sz10 != SV535 )
| ( SV535 = sz00 )
| ( SV535 = sz10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6158]) ).
thf(6220,plain,
! [SV536: $i] :
( ( ~ ( aNaturalNumber0 @ SV536 )
| ( sdtlseqdt0 @ sz10 @ SV536 )
| ( SV536 = sz00 )
| ( SV536 = sz10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6159]) ).
thf(6221,plain,
! [SV537: $i] :
( ( ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ SV537 )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ SV537 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6160]) ).
thf(6222,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xp @ xm ) @ ( sdtasdt0 @ xp @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6161]) ).
thf(6223,plain,
! [SV538: $i] :
( ( ~ ( aNaturalNumber0 @ SV538 )
| ( ( sdtpldt0 @ SV538 @ sz00 )
= SV538 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6162]) ).
thf(6224,plain,
! [SV539: $i] :
( ( ~ ( aNaturalNumber0 @ SV539 )
| ( SV539
= ( sdtpldt0 @ sz00 @ SV539 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6163]) ).
thf(6225,plain,
( ( xk = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6164]) ).
thf(6226,plain,
( ( xk = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6165]) ).
thf(6227,plain,
( ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK2_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6166]) ).
thf(6228,plain,
! [SV502: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY584: $i,SY585: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY584 )
| ~ ( aNaturalNumber0 @ SY585 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY585
!= ( sdtasdt0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ SY585 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= SY585 ) ) ) )
| ( SY585 = sz00 )
| ( SY585 = sz10 )
| ! [SY586: $i] :
( ( ( sdtasdt0 @ SV502 @ SY584 )
!= ( sdtasdt0 @ SY585 @ SY586 ) )
| ~ ( aNaturalNumber0 @ SY586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY584 ) @ SY585 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY585 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( ( SY584
!= ( sdtasdt0 @ SY585 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) ) )
| ~ ! [SY587: $i,SY588: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY587 )
| ~ ( aNaturalNumber0 @ SY588 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY588
!= ( sdtasdt0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ SY588 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= SY588 ) ) ) )
| ( SY588 = sz00 )
| ( SY588 = sz10 )
| ! [SY589: $i] :
( ( ( sdtasdt0 @ SV502 @ SY587 )
!= ( sdtasdt0 @ SY588 @ SY589 ) )
| ~ ( aNaturalNumber0 @ SY589 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY587 ) @ SY588 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY588 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ( doDivides0 @ SY588 @ SY587 ) ) )
| ~ ~ ( ~ ! [SY590: $i,SY591: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY590 )
| ~ ( aNaturalNumber0 @ SY591 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY591
!= ( sdtasdt0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ SY591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= SY591 ) ) ) )
| ( SY591 = sz00 )
| ( SY591 = sz10 )
| ! [SY592: $i] :
( ( ( sdtasdt0 @ SV502 @ SY590 )
!= ( sdtasdt0 @ SY591 @ SY592 ) )
| ~ ( aNaturalNumber0 @ SY592 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY590 ) @ SY591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY591 @ SV502 )
| ~ ( ( SY590
!= ( sdtasdt0 @ SY591 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) ) )
| ~ ! [SY593: $i,SY594: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY593 )
| ~ ( aNaturalNumber0 @ SY594 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY594
!= ( sdtasdt0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ SY594 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= SY594 ) ) ) )
| ( SY594 = sz00 )
| ( SY594 = sz10 )
| ! [SY595: $i] :
( ( ( sdtasdt0 @ SV502 @ SY593 )
!= ( sdtasdt0 @ SY594 @ SY595 ) )
| ~ ( aNaturalNumber0 @ SY595 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY593 ) @ SY594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY594 @ SV502 )
| ( doDivides0 @ SY594 @ SY593 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY596: $i,SY597: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY596 )
| ~ ( aNaturalNumber0 @ SY597 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY597
!= ( sdtasdt0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ SY597 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= SY597 ) ) ) )
| ( SY597 = sz00 )
| ( SY597 = sz10 )
| ~ ( doDivides0 @ SY597 @ ( sdtasdt0 @ SV502 @ SY596 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY596 ) @ SY597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY597 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( ( SY596
!= ( sdtasdt0 @ SY597 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) ) )
| ~ ! [SY598: $i,SY599: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY598 )
| ~ ( aNaturalNumber0 @ SY599 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY599
!= ( sdtasdt0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ SY599 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= SY599 ) ) ) )
| ( SY599 = sz00 )
| ( SY599 = sz10 )
| ~ ( doDivides0 @ SY599 @ ( sdtasdt0 @ SV502 @ SY598 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY598 ) @ SY599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY599 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ( doDivides0 @ SY599 @ SY598 ) ) )
| ~ ~ ( ~ ! [SY600: $i,SY601: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY600 )
| ~ ( aNaturalNumber0 @ SY601 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY601
!= ( sdtasdt0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ SY601 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= SY601 ) ) ) )
| ( SY601 = sz00 )
| ( SY601 = sz10 )
| ~ ( doDivides0 @ SY601 @ ( sdtasdt0 @ SV502 @ SY600 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY600 ) @ SY601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY601 @ SV502 )
| ~ ( ( SY600
!= ( sdtasdt0 @ SY601 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) ) )
| ~ ! [SY602: $i,SY603: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY602 )
| ~ ( aNaturalNumber0 @ SY603 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY603
!= ( sdtasdt0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ SY603 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= SY603 ) ) ) )
| ( SY603 = sz00 )
| ( SY603 = sz10 )
| ~ ( doDivides0 @ SY603 @ ( sdtasdt0 @ SV502 @ SY602 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY602 ) @ SY603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY603 @ SV502 )
| ( doDivides0 @ SY603 @ SY602 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6168]) ).
thf(6229,plain,
! [SV502: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY604: $i,SY605: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY604 )
| ~ ( aNaturalNumber0 @ SY605 )
| ~ ( isPrime0 @ SY605 )
| ! [SY606: $i] :
( ( ( sdtasdt0 @ SV502 @ SY604 )
!= ( sdtasdt0 @ SY605 @ SY606 ) )
| ~ ( aNaturalNumber0 @ SY606 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY604 ) @ SY605 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY605 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( ( SY604
!= ( sdtasdt0 @ SY605 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) ) )
| ~ ! [SY607: $i,SY608: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY607 )
| ~ ( aNaturalNumber0 @ SY608 )
| ~ ( isPrime0 @ SY608 )
| ! [SY609: $i] :
( ( ( sdtasdt0 @ SV502 @ SY607 )
!= ( sdtasdt0 @ SY608 @ SY609 ) )
| ~ ( aNaturalNumber0 @ SY609 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY607 ) @ SY608 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY608 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ( doDivides0 @ SY608 @ SY607 ) ) )
| ~ ~ ( ~ ! [SY610: $i,SY611: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY610 )
| ~ ( aNaturalNumber0 @ SY611 )
| ~ ( isPrime0 @ SY611 )
| ! [SY612: $i] :
( ( ( sdtasdt0 @ SV502 @ SY610 )
!= ( sdtasdt0 @ SY611 @ SY612 ) )
| ~ ( aNaturalNumber0 @ SY612 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY610 ) @ SY611 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY611 @ SV502 )
| ~ ( ( SY610
!= ( sdtasdt0 @ SY611 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) ) )
| ~ ! [SY613: $i,SY614: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY613 )
| ~ ( aNaturalNumber0 @ SY614 )
| ~ ( isPrime0 @ SY614 )
| ! [SY615: $i] :
( ( ( sdtasdt0 @ SV502 @ SY613 )
!= ( sdtasdt0 @ SY614 @ SY615 ) )
| ~ ( aNaturalNumber0 @ SY615 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY613 ) @ SY614 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY614 @ SV502 )
| ( doDivides0 @ SY614 @ SY613 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY616: $i,SY617: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY616 )
| ~ ( aNaturalNumber0 @ SY617 )
| ~ ( isPrime0 @ SY617 )
| ~ ( doDivides0 @ SY617 @ ( sdtasdt0 @ SV502 @ SY616 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY616 ) @ SY617 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY617 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( ( SY616
!= ( sdtasdt0 @ SY617 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) ) )
| ~ ! [SY618: $i,SY619: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY618 )
| ~ ( aNaturalNumber0 @ SY619 )
| ~ ( isPrime0 @ SY619 )
| ~ ( doDivides0 @ SY619 @ ( sdtasdt0 @ SV502 @ SY618 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY618 ) @ SY619 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY619 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ( doDivides0 @ SY619 @ SY618 ) ) )
| ~ ~ ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY620 )
| ~ ( aNaturalNumber0 @ SY621 )
| ~ ( isPrime0 @ SY621 )
| ~ ( doDivides0 @ SY621 @ ( sdtasdt0 @ SV502 @ SY620 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY620 ) @ SY621 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY621 @ SV502 )
| ~ ( ( SY620
!= ( sdtasdt0 @ SY621 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) ) )
| ~ ! [SY622: $i,SY623: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY622 )
| ~ ( aNaturalNumber0 @ SY623 )
| ~ ( isPrime0 @ SY623 )
| ~ ( doDivides0 @ SY623 @ ( sdtasdt0 @ SV502 @ SY622 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY622 ) @ SY623 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY623 @ SV502 )
| ( doDivides0 @ SY623 @ SY622 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6169]) ).
thf(6230,plain,
! [SV540: $i] :
( ( ( ( sdtpldt0 @ xp @ SV540 )
!= xm )
| ~ ( aNaturalNumber0 @ SV540 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6170]) ).
thf(6231,plain,
( ( sdtlseqdt0 @ xp @ xm )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6171]) ).
thf(6232,plain,
! [SV503: $i] :
( ( ( SV503 = sz00 )
= $true )
| ( ( ~ ( ~ ! [SY624: $i,SY625: $i] :
( ~ ( aNaturalNumber0 @ SY624 )
| ~ ( aNaturalNumber0 @ SY625 )
| ( ( sdtasdt0 @ SV503 @ SY624 )
!= ( sdtasdt0 @ SV503 @ SY625 ) )
| ( SY624 = SY625 ) )
| ~ ! [SY626: $i,SY627: $i] :
( ~ ( aNaturalNumber0 @ SY626 )
| ~ ( aNaturalNumber0 @ SY627 )
| ( ( sdtasdt0 @ SY626 @ SV503 )
!= ( sdtasdt0 @ SY627 @ SV503 ) )
| ( SY626 = SY627 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6172]) ).
thf(6233,plain,
( ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6173]) ).
thf(6234,plain,
! [SV541: $i] :
( ( ~ ( aNaturalNumber0 @ SV541 )
| ( ( sdtasdt0 @ SV541 @ sz00 )
= sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6175]) ).
thf(6235,plain,
! [SV542: $i] :
( ( ~ ( aNaturalNumber0 @ SV542 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SV542 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6176]) ).
thf(6236,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6177]) ).
thf(6237,plain,
! [SV504: $i,SV480: $i] :
( ( ( aNaturalNumber0 @ SV480 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV504 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV480 @ SV504 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6179]) ).
thf(6238,plain,
! [SV505: $i,SV481: $i] :
( ( ( aNaturalNumber0 @ SV481 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV505 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV481 @ SV505 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6180]) ).
thf(6239,plain,
! [SV506: $i,SV482: $i] :
( ( ( aNaturalNumber0 @ SV482 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV506 ) )
= $true )
| ( ( ( sdtpldt0 @ SV482 @ SV506 )
= ( sdtpldt0 @ SV506 @ SV482 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6181]) ).
thf(6240,plain,
! [SV521: $i,SV507: $i,SV483: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV483 )
| ~ ( aNaturalNumber0 @ SV507 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV521 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV483 @ SV507 ) @ SV521 )
= ( sdtpldt0 @ SV483 @ ( sdtpldt0 @ SV507 @ SV521 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6182]) ).
thf(6241,plain,
! [SV508: $i,SV484: $i] :
( ( ( aNaturalNumber0 @ SV484 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV508 ) )
= $true )
| ( ( ( sdtasdt0 @ SV484 @ SV508 )
= ( sdtasdt0 @ SV508 @ SV484 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6183]) ).
thf(6242,plain,
! [SV522: $i,SV509: $i,SV485: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV485 )
| ~ ( aNaturalNumber0 @ SV509 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV522 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV485 @ SV509 ) @ SV522 )
= ( sdtasdt0 @ SV485 @ ( sdtasdt0 @ SV509 @ SV522 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6184]) ).
thf(6243,plain,
! [SV510: $i,SV486: $i] :
( ( ( aNaturalNumber0 @ SV486 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV510 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV486 @ SV510 )
!= sz00 )
| ( SV486 = sz00 )
| ( SV510 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6185]) ).
thf(6244,plain,
! [SV511: $i,SV488: $i] :
( ( ( aNaturalNumber0 @ SV488 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV511 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV488 @ SV511 )
| ~ ( sdtlseqdt0 @ SV511 @ SV488 )
| ( SV488 = SV511 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6186]) ).
thf(6245,plain,
! [SV523: $i,SV512: $i,SV489: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV489 )
| ~ ( aNaturalNumber0 @ SV512 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV523 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV489 @ SV512 )
| ~ ( sdtlseqdt0 @ SV512 @ SV523 )
| ( sdtlseqdt0 @ SV489 @ SV523 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6187]) ).
thf(6246,plain,
! [SV513: $i,SV490: $i] :
( ( ( aNaturalNumber0 @ SV490 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV513 ) )
= $true )
| ( ( ( SV490 = sz00 )
| ( sdtlseqdt0 @ SV513 @ ( sdtasdt0 @ SV513 @ SV490 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6188]) ).
thf(6247,plain,
! [SV524: $i,SV543: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV543 ) )
= $true )
| ( ( aNaturalNumber0 @ SV524 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6189]) ).
thf(6248,plain,
! [SV514: $i,SV491: $i] :
( ( ( aNaturalNumber0 @ SV491 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV514 ) )
= $true )
| ( ( ( SV491 = SV514 )
| ~ ( sdtlseqdt0 @ SV491 @ SV514 )
| ( iLess0 @ SV491 @ SV514 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6190]) ).
thf(6249,plain,
! [SV525: $i,SV515: $i,SV492: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV492 )
| ~ ( aNaturalNumber0 @ SV515 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV525 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV492 @ SV515 )
| ~ ( doDivides0 @ SV515 @ SV525 )
| ( doDivides0 @ SV492 @ SV525 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6191]) ).
thf(6250,plain,
! [SV526: $i,SV516: $i,SV493: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV493 )
| ~ ( aNaturalNumber0 @ SV516 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV526 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV493 @ SV516 )
| ~ ( doDivides0 @ SV493 @ SV526 )
| ( doDivides0 @ SV493 @ ( sdtpldt0 @ SV516 @ SV526 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6192]) ).
thf(6251,plain,
! [SV527: $i,SV517: $i,SV494: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV494 )
| ~ ( aNaturalNumber0 @ SV517 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV527 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV494 @ SV517 )
| ~ ( doDivides0 @ SV494 @ ( sdtpldt0 @ SV517 @ SV527 ) )
| ( doDivides0 @ SV494 @ SV527 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6193]) ).
thf(6252,plain,
! [SV518: $i,SV495: $i] :
( ( ( aNaturalNumber0 @ SV495 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV518 ) )
= $true )
| ( ( ( SV518 = sz00 )
| ~ ( doDivides0 @ SV495 @ SV518 )
| ( sdtlseqdt0 @ SV495 @ SV518 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6194]) ).
thf(6253,plain,
! [SV519: $i,SV496: $i] :
( ( ( aNaturalNumber0 @ SV496 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV519 ) )
= $true )
| ( ( ( SV496 = sz00 )
| ~ ( doDivides0 @ SV496 @ SV519 )
| ! [SY634: $i] :
( ~ ( aNaturalNumber0 @ SY634 )
| ( ( sdtasdt0 @ SY634 @ ( sdtsldt0 @ SV519 @ SV496 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY634 @ SV519 ) @ SV496 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6195]) ).
thf(6254,plain,
! [SV544: $i,SV497: $i] :
( ( ! [SY643: $i] :
( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SV544 )
| ~ ( aNaturalNumber0 @ SY643 )
| ( ( sdtasdt0 @ SV497 @ ( sdtpldt0 @ SV544 @ SY643 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV497 @ SV544 ) @ ( sdtasdt0 @ SV497 @ SY643 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6196]) ).
thf(6255,plain,
! [SV545: $i,SV497: $i] :
( ( ! [SY644: $i] :
( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SV545 )
| ~ ( aNaturalNumber0 @ SY644 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV545 @ SY644 ) @ SV497 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV545 @ SV497 ) @ ( sdtasdt0 @ SY644 @ SV497 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6197]) ).
thf(6256,plain,
( ( ~ ( aNaturalNumber0 @ xn ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6198]) ).
thf(6257,plain,
( ( ~ ( aNaturalNumber0 @ xm ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6198]) ).
thf(6258,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6199]) ).
thf(6259,plain,
( ( ~ ( aNaturalNumber0 @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6199]) ).
thf(6260,plain,
! [SV546: $i,SV528: $i] :
( ( ~ ( aNaturalNumber0 @ SV528 )
| ~ ( aNaturalNumber0 @ SV546 )
| ( SV546 != SV528 )
| ( sdtlseqdt0 @ SV528 @ SV546 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6200]) ).
thf(6261,plain,
! [SV547: $i,SV529: $i] :
( ( ~ ( aNaturalNumber0 @ SV529 )
| ~ ( aNaturalNumber0 @ SV547 )
| ( sdtlseqdt0 @ SV547 @ SV529 )
| ( sdtlseqdt0 @ SV529 @ SV547 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6201]) ).
thf(6262,plain,
! [SV530: $i] :
( ( ( ( ( sdtpldt0 @ xp @ SV530 )
!= xn ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV530 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6202]) ).
thf(6263,plain,
! [SV520: $i,SV498: $i] :
( ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV520 ) )
= $true )
| ( ( ( SV498 = SV520 )
| ~ ( sdtlseqdt0 @ SV498 @ SV520 )
| ~ ( ~ ~ ( ~ ! [SY635: $i] :
( ~ ( aNaturalNumber0 @ SY635 )
| ( ( sdtpldt0 @ SV498 @ SY635 )
!= ( sdtpldt0 @ SV520 @ SY635 ) ) )
| ~ ~ ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) )
| ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) ) )
| ~ ! [SY638: $i] :
( ~ ( aNaturalNumber0 @ SY638 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV498 @ SY638 ) @ ( sdtpldt0 @ SV520 @ SY638 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6204]) ).
thf(6264,plain,
! [SV499: $i] :
( ( ~ ! [SY572: $i,SY573: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY572 )
| ~ ( aNaturalNumber0 @ SY573 )
| ( SV499 = sz00 )
| ( SY572 = SY573 )
| ~ ( sdtlseqdt0 @ SY572 @ SY573 )
| ( ( sdtasdt0 @ SY572 @ SV499 )
!= ( sdtasdt0 @ SY573 @ SV499 ) ) )
| ~ ~ ( ~ ! [SY574: $i,SY575: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY574 )
| ~ ( aNaturalNumber0 @ SY575 )
| ( SV499 = sz00 )
| ( SY574 = SY575 )
| ~ ( sdtlseqdt0 @ SY574 @ SY575 )
| ( ( sdtasdt0 @ SV499 @ SY574 )
!= ( sdtasdt0 @ SV499 @ SY575 ) ) )
| ~ ! [SY576: $i,SY577: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY576 )
| ~ ( aNaturalNumber0 @ SY577 )
| ( SV499 = sz00 )
| ( SY576 = SY577 )
| ~ ( sdtlseqdt0 @ SY576 @ SY577 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SY576 ) @ ( sdtasdt0 @ SV499 @ SY577 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6205]) ).
thf(6265,plain,
! [SV548: $i,SV499: $i] :
( ( ! [SY645: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV548 )
| ~ ( aNaturalNumber0 @ SY645 )
| ( SV499 = sz00 )
| ( SV548 = SY645 )
| ~ ( sdtlseqdt0 @ SV548 @ SY645 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV548 @ SV499 ) @ ( sdtasdt0 @ SY645 @ SV499 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6206]) ).
thf(6266,plain,
! [SV500: $i] :
( ( ( aNaturalNumber0 @ SV500 )
= $false )
| ( ( SV500 = sz00 )
= $true )
| ( ( SV500 = sz10 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV500 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV500 ) @ SV500 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV500 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6207]) ).
thf(6267,plain,
! [SV549: $i,SV531: $i] :
( ( ~ ( aNaturalNumber0 @ SV531 )
| ~ ( aNaturalNumber0 @ SV549 )
| ( ( sdtpldt0 @ SV531 @ SV549 )
!= sz00 )
| ( SV531 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6210]) ).
thf(6268,plain,
! [SV550: $i,SV532: $i] :
( ( ~ ( aNaturalNumber0 @ SV532 )
| ~ ( aNaturalNumber0 @ SV550 )
| ( ( sdtpldt0 @ SV532 @ SV550 )
!= sz00 )
| ( SV550 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6211]) ).
thf(6269,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6213]) ).
thf(6270,plain,
( ( ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6213]) ).
thf(6271,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6214]) ).
thf(6272,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6214]) ).
thf(6273,plain,
! [SV551: $i,SV501: $i] :
( ( ! [SY646: $i] :
( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SV551 )
| ~ ( aNaturalNumber0 @ SY646 )
| ( ( sdtpldt0 @ SV501 @ SV551 )
!= ( sdtpldt0 @ SV501 @ SY646 ) )
| ( SV551 = SY646 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6215]) ).
thf(6274,plain,
! [SV552: $i,SV501: $i] :
( ( ! [SY647: $i] :
( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SV552 )
| ~ ( aNaturalNumber0 @ SY647 )
| ( ( sdtpldt0 @ SV552 @ SV501 )
!= ( sdtpldt0 @ SY647 @ SV501 ) )
| ( SV552 = SY647 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6216]) ).
thf(6275,plain,
! [SV533: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV533 ) )
= $true )
| ( ( ( sdtasdt0 @ SV533 @ sz10 )
= SV533 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6217]) ).
thf(6276,plain,
! [SV534: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV534 ) )
= $true )
| ( ( SV534
= ( sdtasdt0 @ sz10 @ SV534 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6218]) ).
thf(6277,plain,
! [SV535: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV535 ) )
= $true )
| ( ( ( sz10 != SV535 )
| ( SV535 = sz00 )
| ( SV535 = sz10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6219]) ).
thf(6278,plain,
! [SV536: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV536 ) )
= $true )
| ( ( ( sdtlseqdt0 @ sz10 @ SV536 )
| ( SV536 = sz00 )
| ( SV536 = sz10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6220]) ).
thf(6279,plain,
! [SV537: $i] :
( ( ( ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ SV537 )
!= ( sdtasdt0 @ xp @ xk ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV537 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6221]) ).
thf(6280,plain,
! [SV538: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV538 ) )
= $true )
| ( ( ( sdtpldt0 @ SV538 @ sz00 )
= SV538 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6223]) ).
thf(6281,plain,
! [SV539: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV539 ) )
= $true )
| ( ( SV539
= ( sdtpldt0 @ sz00 @ SV539 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6224]) ).
thf(6282,plain,
( ( ( ( sdtpldt0 @ xp @ sK2_W0 )
!= xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6227]) ).
thf(6283,plain,
( ( ~ ( aNaturalNumber0 @ sK2_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6227]) ).
thf(6284,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY584: $i,SY585: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY584 )
| ~ ( aNaturalNumber0 @ SY585 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY585
!= ( sdtasdt0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ SY585 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= SY585 ) ) ) )
| ( SY585 = sz00 )
| ( SY585 = sz10 )
| ! [SY586: $i] :
( ( ( sdtasdt0 @ SV502 @ SY584 )
!= ( sdtasdt0 @ SY585 @ SY586 ) )
| ~ ( aNaturalNumber0 @ SY586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY584 ) @ SY585 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY585 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( ( SY584
!= ( sdtasdt0 @ SY585 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) ) )
| ~ ! [SY587: $i,SY588: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY587 )
| ~ ( aNaturalNumber0 @ SY588 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY588
!= ( sdtasdt0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ SY588 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= SY588 ) ) ) )
| ( SY588 = sz00 )
| ( SY588 = sz10 )
| ! [SY589: $i] :
( ( ( sdtasdt0 @ SV502 @ SY587 )
!= ( sdtasdt0 @ SY588 @ SY589 ) )
| ~ ( aNaturalNumber0 @ SY589 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY587 ) @ SY588 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY588 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ( doDivides0 @ SY588 @ SY587 ) ) )
| ~ ~ ( ~ ! [SY590: $i,SY591: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY590 )
| ~ ( aNaturalNumber0 @ SY591 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY591
!= ( sdtasdt0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ SY591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= SY591 ) ) ) )
| ( SY591 = sz00 )
| ( SY591 = sz10 )
| ! [SY592: $i] :
( ( ( sdtasdt0 @ SV502 @ SY590 )
!= ( sdtasdt0 @ SY591 @ SY592 ) )
| ~ ( aNaturalNumber0 @ SY592 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY590 ) @ SY591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY591 @ SV502 )
| ~ ( ( SY590
!= ( sdtasdt0 @ SY591 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) ) )
| ~ ! [SY593: $i,SY594: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY593 )
| ~ ( aNaturalNumber0 @ SY594 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY594
!= ( sdtasdt0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ SY594 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= SY594 ) ) ) )
| ( SY594 = sz00 )
| ( SY594 = sz10 )
| ! [SY595: $i] :
( ( ( sdtasdt0 @ SV502 @ SY593 )
!= ( sdtasdt0 @ SY594 @ SY595 ) )
| ~ ( aNaturalNumber0 @ SY595 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY593 ) @ SY594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY594 @ SV502 )
| ( doDivides0 @ SY594 @ SY593 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY596: $i,SY597: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY596 )
| ~ ( aNaturalNumber0 @ SY597 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY597
!= ( sdtasdt0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ SY597 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= SY597 ) ) ) )
| ( SY597 = sz00 )
| ( SY597 = sz10 )
| ~ ( doDivides0 @ SY597 @ ( sdtasdt0 @ SV502 @ SY596 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY596 ) @ SY597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY597 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( ( SY596
!= ( sdtasdt0 @ SY597 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) ) )
| ~ ! [SY598: $i,SY599: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY598 )
| ~ ( aNaturalNumber0 @ SY599 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY599
!= ( sdtasdt0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ SY599 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= SY599 ) ) ) )
| ( SY599 = sz00 )
| ( SY599 = sz10 )
| ~ ( doDivides0 @ SY599 @ ( sdtasdt0 @ SV502 @ SY598 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY598 ) @ SY599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY599 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ( doDivides0 @ SY599 @ SY598 ) ) )
| ~ ~ ( ~ ! [SY600: $i,SY601: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY600 )
| ~ ( aNaturalNumber0 @ SY601 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY601
!= ( sdtasdt0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ SY601 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= SY601 ) ) ) )
| ( SY601 = sz00 )
| ( SY601 = sz10 )
| ~ ( doDivides0 @ SY601 @ ( sdtasdt0 @ SV502 @ SY600 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY600 ) @ SY601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY601 @ SV502 )
| ~ ( ( SY600
!= ( sdtasdt0 @ SY601 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) ) )
| ~ ! [SY602: $i,SY603: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY602 )
| ~ ( aNaturalNumber0 @ SY603 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY603
!= ( sdtasdt0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ SY603 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= SY603 ) ) ) )
| ( SY603 = sz00 )
| ( SY603 = sz10 )
| ~ ( doDivides0 @ SY603 @ ( sdtasdt0 @ SV502 @ SY602 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY602 ) @ SY603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY603 @ SV502 )
| ( doDivides0 @ SY603 @ SY602 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6228]) ).
thf(6285,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY604: $i,SY605: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY604 )
| ~ ( aNaturalNumber0 @ SY605 )
| ~ ( isPrime0 @ SY605 )
| ! [SY606: $i] :
( ( ( sdtasdt0 @ SV502 @ SY604 )
!= ( sdtasdt0 @ SY605 @ SY606 ) )
| ~ ( aNaturalNumber0 @ SY606 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY604 ) @ SY605 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY605 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( ( SY604
!= ( sdtasdt0 @ SY605 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) ) )
| ~ ! [SY607: $i,SY608: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY607 )
| ~ ( aNaturalNumber0 @ SY608 )
| ~ ( isPrime0 @ SY608 )
| ! [SY609: $i] :
( ( ( sdtasdt0 @ SV502 @ SY607 )
!= ( sdtasdt0 @ SY608 @ SY609 ) )
| ~ ( aNaturalNumber0 @ SY609 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY607 ) @ SY608 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY608 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ( doDivides0 @ SY608 @ SY607 ) ) )
| ~ ~ ( ~ ! [SY610: $i,SY611: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY610 )
| ~ ( aNaturalNumber0 @ SY611 )
| ~ ( isPrime0 @ SY611 )
| ! [SY612: $i] :
( ( ( sdtasdt0 @ SV502 @ SY610 )
!= ( sdtasdt0 @ SY611 @ SY612 ) )
| ~ ( aNaturalNumber0 @ SY612 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY610 ) @ SY611 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY611 @ SV502 )
| ~ ( ( SY610
!= ( sdtasdt0 @ SY611 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) ) )
| ~ ! [SY613: $i,SY614: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY613 )
| ~ ( aNaturalNumber0 @ SY614 )
| ~ ( isPrime0 @ SY614 )
| ! [SY615: $i] :
( ( ( sdtasdt0 @ SV502 @ SY613 )
!= ( sdtasdt0 @ SY614 @ SY615 ) )
| ~ ( aNaturalNumber0 @ SY615 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY613 ) @ SY614 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY614 @ SV502 )
| ( doDivides0 @ SY614 @ SY613 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY616: $i,SY617: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY616 )
| ~ ( aNaturalNumber0 @ SY617 )
| ~ ( isPrime0 @ SY617 )
| ~ ( doDivides0 @ SY617 @ ( sdtasdt0 @ SV502 @ SY616 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY616 ) @ SY617 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY617 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( ( SY616
!= ( sdtasdt0 @ SY617 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) ) )
| ~ ! [SY618: $i,SY619: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY618 )
| ~ ( aNaturalNumber0 @ SY619 )
| ~ ( isPrime0 @ SY619 )
| ~ ( doDivides0 @ SY619 @ ( sdtasdt0 @ SV502 @ SY618 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY618 ) @ SY619 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY619 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ( doDivides0 @ SY619 @ SY618 ) ) )
| ~ ~ ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY620 )
| ~ ( aNaturalNumber0 @ SY621 )
| ~ ( isPrime0 @ SY621 )
| ~ ( doDivides0 @ SY621 @ ( sdtasdt0 @ SV502 @ SY620 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY620 ) @ SY621 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY621 @ SV502 )
| ~ ( ( SY620
!= ( sdtasdt0 @ SY621 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) ) )
| ~ ! [SY622: $i,SY623: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY622 )
| ~ ( aNaturalNumber0 @ SY623 )
| ~ ( isPrime0 @ SY623 )
| ~ ( doDivides0 @ SY623 @ ( sdtasdt0 @ SV502 @ SY622 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY622 ) @ SY623 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY623 @ SV502 )
| ( doDivides0 @ SY623 @ SY622 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6229]) ).
thf(6286,plain,
! [SV540: $i] :
( ( ( ( ( sdtpldt0 @ xp @ SV540 )
!= xm ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV540 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6230]) ).
thf(6287,plain,
! [SV503: $i] :
( ( ( ~ ! [SY624: $i,SY625: $i] :
( ~ ( aNaturalNumber0 @ SY624 )
| ~ ( aNaturalNumber0 @ SY625 )
| ( ( sdtasdt0 @ SV503 @ SY624 )
!= ( sdtasdt0 @ SV503 @ SY625 ) )
| ( SY624 = SY625 ) )
| ~ ! [SY626: $i,SY627: $i] :
( ~ ( aNaturalNumber0 @ SY626 )
| ~ ( aNaturalNumber0 @ SY627 )
| ( ( sdtasdt0 @ SY626 @ SV503 )
!= ( sdtasdt0 @ SY627 @ SV503 ) )
| ( SY626 = SY627 ) ) )
= $false )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6232]) ).
thf(6288,plain,
( ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6233]) ).
thf(6289,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6233]) ).
thf(6290,plain,
! [SV541: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV541 ) )
= $true )
| ( ( ( sdtasdt0 @ SV541 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6234]) ).
thf(6291,plain,
! [SV542: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV542 ) )
= $true )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV542 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6235]) ).
thf(6292,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6236]) ).
thf(6293,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6236]) ).
thf(6294,plain,
! [SV480: $i,SV504: $i] :
( ( ( aNaturalNumber0 @ SV504 )
= $false )
| ( ( aNaturalNumber0 @ SV480 )
= $false )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV480 @ SV504 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6237]) ).
thf(6295,plain,
! [SV481: $i,SV505: $i] :
( ( ( aNaturalNumber0 @ SV505 )
= $false )
| ( ( aNaturalNumber0 @ SV481 )
= $false )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV481 @ SV505 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6238]) ).
thf(6296,plain,
! [SV482: $i,SV506: $i] :
( ( ( aNaturalNumber0 @ SV506 )
= $false )
| ( ( aNaturalNumber0 @ SV482 )
= $false )
| ( ( ( sdtpldt0 @ SV482 @ SV506 )
= ( sdtpldt0 @ SV506 @ SV482 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6239]) ).
thf(6297,plain,
! [SV521: $i,SV507: $i,SV483: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV483 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV507 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV521 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV483 @ SV507 ) @ SV521 )
= ( sdtpldt0 @ SV483 @ ( sdtpldt0 @ SV507 @ SV521 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6240]) ).
thf(6298,plain,
! [SV484: $i,SV508: $i] :
( ( ( aNaturalNumber0 @ SV508 )
= $false )
| ( ( aNaturalNumber0 @ SV484 )
= $false )
| ( ( ( sdtasdt0 @ SV484 @ SV508 )
= ( sdtasdt0 @ SV508 @ SV484 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6241]) ).
thf(6299,plain,
! [SV522: $i,SV509: $i,SV485: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV485 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV509 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV522 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV485 @ SV509 ) @ SV522 )
= ( sdtasdt0 @ SV485 @ ( sdtasdt0 @ SV509 @ SV522 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6242]) ).
thf(6300,plain,
! [SV486: $i,SV510: $i] :
( ( ( aNaturalNumber0 @ SV510 )
= $false )
| ( ( aNaturalNumber0 @ SV486 )
= $false )
| ( ( ( ( sdtasdt0 @ SV486 @ SV510 )
!= sz00 )
| ( SV486 = sz00 )
| ( SV510 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6243]) ).
thf(6301,plain,
! [SV488: $i,SV511: $i] :
( ( ( aNaturalNumber0 @ SV511 )
= $false )
| ( ( aNaturalNumber0 @ SV488 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV488 @ SV511 )
| ~ ( sdtlseqdt0 @ SV511 @ SV488 )
| ( SV488 = SV511 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6244]) ).
thf(6302,plain,
! [SV523: $i,SV512: $i,SV489: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV489 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV512 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV523 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV489 @ SV512 )
| ~ ( sdtlseqdt0 @ SV512 @ SV523 )
| ( sdtlseqdt0 @ SV489 @ SV523 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6245]) ).
thf(6303,plain,
! [SV490: $i,SV513: $i] :
( ( ( aNaturalNumber0 @ SV513 )
= $false )
| ( ( aNaturalNumber0 @ SV490 )
= $false )
| ( ( ( SV490 = sz00 )
| ( sdtlseqdt0 @ SV513 @ ( sdtasdt0 @ SV513 @ SV490 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6246]) ).
thf(6304,plain,
! [SV524: $i,SV543: $i] :
( ( ( aNaturalNumber0 @ SV543 )
= $false )
| ( ( aNaturalNumber0 @ SV524 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[6247]) ).
thf(6305,plain,
! [SV491: $i,SV514: $i] :
( ( ( aNaturalNumber0 @ SV514 )
= $false )
| ( ( aNaturalNumber0 @ SV491 )
= $false )
| ( ( ( SV491 = SV514 )
| ~ ( sdtlseqdt0 @ SV491 @ SV514 )
| ( iLess0 @ SV491 @ SV514 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6248]) ).
thf(6306,plain,
! [SV525: $i,SV515: $i,SV492: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV492 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV515 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV525 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV492 @ SV515 )
| ~ ( doDivides0 @ SV515 @ SV525 )
| ( doDivides0 @ SV492 @ SV525 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6249]) ).
thf(6307,plain,
! [SV526: $i,SV516: $i,SV493: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV493 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV516 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV526 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV493 @ SV516 )
| ~ ( doDivides0 @ SV493 @ SV526 )
| ( doDivides0 @ SV493 @ ( sdtpldt0 @ SV516 @ SV526 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6250]) ).
thf(6308,plain,
! [SV527: $i,SV517: $i,SV494: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV494 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV517 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV527 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV494 @ SV517 )
| ~ ( doDivides0 @ SV494 @ ( sdtpldt0 @ SV517 @ SV527 ) )
| ( doDivides0 @ SV494 @ SV527 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6251]) ).
thf(6309,plain,
! [SV495: $i,SV518: $i] :
( ( ( aNaturalNumber0 @ SV518 )
= $false )
| ( ( aNaturalNumber0 @ SV495 )
= $false )
| ( ( ( SV518 = sz00 )
| ~ ( doDivides0 @ SV495 @ SV518 )
| ( sdtlseqdt0 @ SV495 @ SV518 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6252]) ).
thf(6310,plain,
! [SV496: $i,SV519: $i] :
( ( ( aNaturalNumber0 @ SV519 )
= $false )
| ( ( aNaturalNumber0 @ SV496 )
= $false )
| ( ( ( SV496 = sz00 )
| ~ ( doDivides0 @ SV496 @ SV519 )
| ! [SY634: $i] :
( ~ ( aNaturalNumber0 @ SY634 )
| ( ( sdtasdt0 @ SY634 @ ( sdtsldt0 @ SV519 @ SV496 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY634 @ SV519 ) @ SV496 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6253]) ).
thf(6311,plain,
! [SV553: $i,SV544: $i,SV497: $i] :
( ( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SV544 )
| ~ ( aNaturalNumber0 @ SV553 )
| ( ( sdtasdt0 @ SV497 @ ( sdtpldt0 @ SV544 @ SV553 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV497 @ SV544 ) @ ( sdtasdt0 @ SV497 @ SV553 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6254]) ).
thf(6312,plain,
! [SV554: $i,SV545: $i,SV497: $i] :
( ( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SV545 )
| ~ ( aNaturalNumber0 @ SV554 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV545 @ SV554 ) @ SV497 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV545 @ SV497 ) @ ( sdtasdt0 @ SV554 @ SV497 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6255]) ).
thf(6313,plain,
( ( aNaturalNumber0 @ xn )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6256]) ).
thf(6314,plain,
( ( aNaturalNumber0 @ xm )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6257]) ).
thf(6315,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6258]) ).
thf(6316,plain,
( ( aNaturalNumber0 @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6259]) ).
thf(6317,plain,
! [SV546: $i,SV528: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV528 )
| ~ ( aNaturalNumber0 @ SV546 ) )
= $true )
| ( ( ( SV546 != SV528 )
| ( sdtlseqdt0 @ SV528 @ SV546 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6260]) ).
thf(6318,plain,
! [SV547: $i,SV529: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV529 )
| ~ ( aNaturalNumber0 @ SV547 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV547 @ SV529 )
| ( sdtlseqdt0 @ SV529 @ SV547 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6261]) ).
thf(6319,plain,
! [SV530: $i] :
( ( ( ( sdtpldt0 @ xp @ SV530 )
= xn )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV530 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6262]) ).
thf(6320,plain,
! [SV498: $i,SV520: $i] :
( ( ( aNaturalNumber0 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( ( SV498 = SV520 )
| ~ ( sdtlseqdt0 @ SV498 @ SV520 )
| ~ ( ~ ~ ( ~ ! [SY635: $i] :
( ~ ( aNaturalNumber0 @ SY635 )
| ( ( sdtpldt0 @ SV498 @ SY635 )
!= ( sdtpldt0 @ SV520 @ SY635 ) ) )
| ~ ~ ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) )
| ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) ) )
| ~ ! [SY638: $i] :
( ~ ( aNaturalNumber0 @ SY638 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV498 @ SY638 ) @ ( sdtpldt0 @ SV520 @ SY638 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6263]) ).
thf(6321,plain,
! [SV499: $i] :
( ( ~ ! [SY572: $i,SY573: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY572 )
| ~ ( aNaturalNumber0 @ SY573 )
| ( SV499 = sz00 )
| ( SY572 = SY573 )
| ~ ( sdtlseqdt0 @ SY572 @ SY573 )
| ( ( sdtasdt0 @ SY572 @ SV499 )
!= ( sdtasdt0 @ SY573 @ SV499 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6264]) ).
thf(6322,plain,
! [SV499: $i] :
( ( ~ ~ ( ~ ! [SY574: $i,SY575: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY574 )
| ~ ( aNaturalNumber0 @ SY575 )
| ( SV499 = sz00 )
| ( SY574 = SY575 )
| ~ ( sdtlseqdt0 @ SY574 @ SY575 )
| ( ( sdtasdt0 @ SV499 @ SY574 )
!= ( sdtasdt0 @ SV499 @ SY575 ) ) )
| ~ ! [SY576: $i,SY577: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY576 )
| ~ ( aNaturalNumber0 @ SY577 )
| ( SV499 = sz00 )
| ( SY576 = SY577 )
| ~ ( sdtlseqdt0 @ SY576 @ SY577 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SY576 ) @ ( sdtasdt0 @ SV499 @ SY577 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6264]) ).
thf(6323,plain,
! [SV555: $i,SV548: $i,SV499: $i] :
( ( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV548 )
| ~ ( aNaturalNumber0 @ SV555 )
| ( SV499 = sz00 )
| ( SV548 = SV555 )
| ~ ( sdtlseqdt0 @ SV548 @ SV555 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV548 @ SV499 ) @ ( sdtasdt0 @ SV555 @ SV499 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6265]) ).
thf(6324,plain,
! [SV500: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV500 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV500 ) @ SV500 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV500 ) ) )
= $false )
| ( ( SV500 = sz10 )
= $true )
| ( ( SV500 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV500 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6266]) ).
thf(6325,plain,
! [SV549: $i,SV531: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV531 )
| ~ ( aNaturalNumber0 @ SV549 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV531 @ SV549 )
!= sz00 )
| ( SV531 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6267]) ).
thf(6326,plain,
! [SV550: $i,SV532: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV532 )
| ~ ( aNaturalNumber0 @ SV550 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV532 @ SV550 )
!= sz00 )
| ( SV550 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6268]) ).
thf(6327,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6269]) ).
thf(6328,plain,
( ( ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6270]) ).
thf(6329,plain,
( ( ~ ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6271]) ).
thf(6330,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6272]) ).
thf(6331,plain,
! [SV556: $i,SV551: $i,SV501: $i] :
( ( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SV551 )
| ~ ( aNaturalNumber0 @ SV556 )
| ( ( sdtpldt0 @ SV501 @ SV551 )
!= ( sdtpldt0 @ SV501 @ SV556 ) )
| ( SV551 = SV556 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6273]) ).
thf(6332,plain,
! [SV557: $i,SV552: $i,SV501: $i] :
( ( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SV552 )
| ~ ( aNaturalNumber0 @ SV557 )
| ( ( sdtpldt0 @ SV552 @ SV501 )
!= ( sdtpldt0 @ SV557 @ SV501 ) )
| ( SV552 = SV557 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6274]) ).
thf(6333,plain,
! [SV533: $i] :
( ( ( aNaturalNumber0 @ SV533 )
= $false )
| ( ( ( sdtasdt0 @ SV533 @ sz10 )
= SV533 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6275]) ).
thf(6334,plain,
! [SV534: $i] :
( ( ( aNaturalNumber0 @ SV534 )
= $false )
| ( ( SV534
= ( sdtasdt0 @ sz10 @ SV534 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6276]) ).
thf(6335,plain,
! [SV535: $i] :
( ( ( aNaturalNumber0 @ SV535 )
= $false )
| ( ( ( sz10 != SV535 )
| ( SV535 = sz00 )
| ( SV535 = sz10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6277]) ).
thf(6336,plain,
! [SV536: $i] :
( ( ( aNaturalNumber0 @ SV536 )
= $false )
| ( ( ( sdtlseqdt0 @ sz10 @ SV536 )
| ( SV536 = sz00 )
| ( SV536 = sz10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6278]) ).
thf(6337,plain,
! [SV537: $i] :
( ( ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ SV537 )
= ( sdtasdt0 @ xp @ xk ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV537 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6279]) ).
thf(6338,plain,
! [SV538: $i] :
( ( ( aNaturalNumber0 @ SV538 )
= $false )
| ( ( ( sdtpldt0 @ SV538 @ sz00 )
= SV538 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6280]) ).
thf(6339,plain,
! [SV539: $i] :
( ( ( aNaturalNumber0 @ SV539 )
= $false )
| ( ( SV539
= ( sdtpldt0 @ sz00 @ SV539 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6281]) ).
thf(6340,plain,
( ( ( sdtpldt0 @ xp @ sK2_W0 )
= xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6282]) ).
thf(6341,plain,
( ( aNaturalNumber0 @ sK2_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6283]) ).
thf(6342,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY584: $i,SY585: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY584 )
| ~ ( aNaturalNumber0 @ SY585 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY585
!= ( sdtasdt0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ SY585 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= SY585 ) ) ) )
| ( SY585 = sz00 )
| ( SY585 = sz10 )
| ! [SY586: $i] :
( ( ( sdtasdt0 @ SV502 @ SY584 )
!= ( sdtasdt0 @ SY585 @ SY586 ) )
| ~ ( aNaturalNumber0 @ SY586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY584 ) @ SY585 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY585 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( ( SY584
!= ( sdtasdt0 @ SY585 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) ) )
| ~ ! [SY587: $i,SY588: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY587 )
| ~ ( aNaturalNumber0 @ SY588 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY588
!= ( sdtasdt0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ SY588 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= SY588 ) ) ) )
| ( SY588 = sz00 )
| ( SY588 = sz10 )
| ! [SY589: $i] :
( ( ( sdtasdt0 @ SV502 @ SY587 )
!= ( sdtasdt0 @ SY588 @ SY589 ) )
| ~ ( aNaturalNumber0 @ SY589 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY587 ) @ SY588 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY588 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ( doDivides0 @ SY588 @ SY587 ) ) )
| ~ ~ ( ~ ! [SY590: $i,SY591: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY590 )
| ~ ( aNaturalNumber0 @ SY591 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY591
!= ( sdtasdt0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ SY591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= SY591 ) ) ) )
| ( SY591 = sz00 )
| ( SY591 = sz10 )
| ! [SY592: $i] :
( ( ( sdtasdt0 @ SV502 @ SY590 )
!= ( sdtasdt0 @ SY591 @ SY592 ) )
| ~ ( aNaturalNumber0 @ SY592 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY590 ) @ SY591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY591 @ SV502 )
| ~ ( ( SY590
!= ( sdtasdt0 @ SY591 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) ) )
| ~ ! [SY593: $i,SY594: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY593 )
| ~ ( aNaturalNumber0 @ SY594 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY594
!= ( sdtasdt0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ SY594 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= SY594 ) ) ) )
| ( SY594 = sz00 )
| ( SY594 = sz10 )
| ! [SY595: $i] :
( ( ( sdtasdt0 @ SV502 @ SY593 )
!= ( sdtasdt0 @ SY594 @ SY595 ) )
| ~ ( aNaturalNumber0 @ SY595 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY593 ) @ SY594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY594 @ SV502 )
| ( doDivides0 @ SY594 @ SY593 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6284]) ).
thf(6343,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY596: $i,SY597: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY596 )
| ~ ( aNaturalNumber0 @ SY597 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY597
!= ( sdtasdt0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ SY597 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= SY597 ) ) ) )
| ( SY597 = sz00 )
| ( SY597 = sz10 )
| ~ ( doDivides0 @ SY597 @ ( sdtasdt0 @ SV502 @ SY596 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY596 ) @ SY597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY597 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( ( SY596
!= ( sdtasdt0 @ SY597 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) ) )
| ~ ! [SY598: $i,SY599: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY598 )
| ~ ( aNaturalNumber0 @ SY599 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY599
!= ( sdtasdt0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ SY599 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= SY599 ) ) ) )
| ( SY599 = sz00 )
| ( SY599 = sz10 )
| ~ ( doDivides0 @ SY599 @ ( sdtasdt0 @ SV502 @ SY598 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY598 ) @ SY599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY599 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ( doDivides0 @ SY599 @ SY598 ) ) )
| ~ ~ ( ~ ! [SY600: $i,SY601: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY600 )
| ~ ( aNaturalNumber0 @ SY601 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY601
!= ( sdtasdt0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ SY601 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= SY601 ) ) ) )
| ( SY601 = sz00 )
| ( SY601 = sz10 )
| ~ ( doDivides0 @ SY601 @ ( sdtasdt0 @ SV502 @ SY600 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY600 ) @ SY601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY601 @ SV502 )
| ~ ( ( SY600
!= ( sdtasdt0 @ SY601 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) ) )
| ~ ! [SY602: $i,SY603: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY602 )
| ~ ( aNaturalNumber0 @ SY603 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY603
!= ( sdtasdt0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ SY603 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= SY603 ) ) ) )
| ( SY603 = sz00 )
| ( SY603 = sz10 )
| ~ ( doDivides0 @ SY603 @ ( sdtasdt0 @ SV502 @ SY602 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY602 ) @ SY603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY603 @ SV502 )
| ( doDivides0 @ SY603 @ SY602 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6284]) ).
thf(6344,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY604: $i,SY605: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY604 )
| ~ ( aNaturalNumber0 @ SY605 )
| ~ ( isPrime0 @ SY605 )
| ! [SY606: $i] :
( ( ( sdtasdt0 @ SV502 @ SY604 )
!= ( sdtasdt0 @ SY605 @ SY606 ) )
| ~ ( aNaturalNumber0 @ SY606 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY604 ) @ SY605 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY605 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( ( SY604
!= ( sdtasdt0 @ SY605 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) ) )
| ~ ! [SY607: $i,SY608: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY607 )
| ~ ( aNaturalNumber0 @ SY608 )
| ~ ( isPrime0 @ SY608 )
| ! [SY609: $i] :
( ( ( sdtasdt0 @ SV502 @ SY607 )
!= ( sdtasdt0 @ SY608 @ SY609 ) )
| ~ ( aNaturalNumber0 @ SY609 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY607 ) @ SY608 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY608 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ( doDivides0 @ SY608 @ SY607 ) ) )
| ~ ~ ( ~ ! [SY610: $i,SY611: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY610 )
| ~ ( aNaturalNumber0 @ SY611 )
| ~ ( isPrime0 @ SY611 )
| ! [SY612: $i] :
( ( ( sdtasdt0 @ SV502 @ SY610 )
!= ( sdtasdt0 @ SY611 @ SY612 ) )
| ~ ( aNaturalNumber0 @ SY612 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY610 ) @ SY611 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY611 @ SV502 )
| ~ ( ( SY610
!= ( sdtasdt0 @ SY611 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) ) )
| ~ ! [SY613: $i,SY614: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY613 )
| ~ ( aNaturalNumber0 @ SY614 )
| ~ ( isPrime0 @ SY614 )
| ! [SY615: $i] :
( ( ( sdtasdt0 @ SV502 @ SY613 )
!= ( sdtasdt0 @ SY614 @ SY615 ) )
| ~ ( aNaturalNumber0 @ SY615 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY613 ) @ SY614 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY614 @ SV502 )
| ( doDivides0 @ SY614 @ SY613 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6285]) ).
thf(6345,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY616: $i,SY617: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY616 )
| ~ ( aNaturalNumber0 @ SY617 )
| ~ ( isPrime0 @ SY617 )
| ~ ( doDivides0 @ SY617 @ ( sdtasdt0 @ SV502 @ SY616 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY616 ) @ SY617 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY617 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( ( SY616
!= ( sdtasdt0 @ SY617 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) ) )
| ~ ! [SY618: $i,SY619: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY618 )
| ~ ( aNaturalNumber0 @ SY619 )
| ~ ( isPrime0 @ SY619 )
| ~ ( doDivides0 @ SY619 @ ( sdtasdt0 @ SV502 @ SY618 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY618 ) @ SY619 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY619 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ( doDivides0 @ SY619 @ SY618 ) ) )
| ~ ~ ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY620 )
| ~ ( aNaturalNumber0 @ SY621 )
| ~ ( isPrime0 @ SY621 )
| ~ ( doDivides0 @ SY621 @ ( sdtasdt0 @ SV502 @ SY620 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY620 ) @ SY621 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY621 @ SV502 )
| ~ ( ( SY620
!= ( sdtasdt0 @ SY621 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) ) )
| ~ ! [SY622: $i,SY623: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY622 )
| ~ ( aNaturalNumber0 @ SY623 )
| ~ ( isPrime0 @ SY623 )
| ~ ( doDivides0 @ SY623 @ ( sdtasdt0 @ SV502 @ SY622 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY622 ) @ SY623 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY623 @ SV502 )
| ( doDivides0 @ SY623 @ SY622 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6285]) ).
thf(6346,plain,
! [SV540: $i] :
( ( ( ( sdtpldt0 @ xp @ SV540 )
= xm )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV540 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6286]) ).
thf(6347,plain,
! [SV503: $i] :
( ( ( ~ ! [SY624: $i,SY625: $i] :
( ~ ( aNaturalNumber0 @ SY624 )
| ~ ( aNaturalNumber0 @ SY625 )
| ( ( sdtasdt0 @ SV503 @ SY624 )
!= ( sdtasdt0 @ SV503 @ SY625 ) )
| ( SY624 = SY625 ) ) )
= $false )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6287]) ).
thf(6348,plain,
! [SV503: $i] :
( ( ( ~ ! [SY626: $i,SY627: $i] :
( ~ ( aNaturalNumber0 @ SY626 )
| ~ ( aNaturalNumber0 @ SY627 )
| ( ( sdtasdt0 @ SY626 @ SV503 )
!= ( sdtasdt0 @ SY627 @ SV503 ) )
| ( SY626 = SY627 ) ) )
= $false )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6287]) ).
thf(6349,plain,
( ( ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6288]) ).
thf(6350,plain,
( ( ~ ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6289]) ).
thf(6351,plain,
! [SV541: $i] :
( ( ( aNaturalNumber0 @ SV541 )
= $false )
| ( ( ( sdtasdt0 @ SV541 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6290]) ).
thf(6352,plain,
! [SV542: $i] :
( ( ( aNaturalNumber0 @ SV542 )
= $false )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV542 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6291]) ).
thf(6353,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6292]) ).
thf(6354,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6293]) ).
thf(6355,plain,
! [SV521: $i,SV507: $i,SV483: $i] :
( ( ( aNaturalNumber0 @ SV483 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV507 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV521 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV483 @ SV507 ) @ SV521 )
= ( sdtpldt0 @ SV483 @ ( sdtpldt0 @ SV507 @ SV521 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6297]) ).
thf(6356,plain,
! [SV522: $i,SV509: $i,SV485: $i] :
( ( ( aNaturalNumber0 @ SV485 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV509 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV522 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV485 @ SV509 ) @ SV522 )
= ( sdtasdt0 @ SV485 @ ( sdtasdt0 @ SV509 @ SV522 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6299]) ).
thf(6357,plain,
! [SV510: $i,SV486: $i] :
( ( ( ( ( sdtasdt0 @ SV486 @ SV510 )
!= sz00 ) )
= $true )
| ( ( ( SV486 = sz00 )
| ( SV510 = sz00 ) )
= $true )
| ( ( aNaturalNumber0 @ SV486 )
= $false )
| ( ( aNaturalNumber0 @ SV510 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6300]) ).
thf(6358,plain,
! [SV511: $i,SV488: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV488 @ SV511 )
| ~ ( sdtlseqdt0 @ SV511 @ SV488 ) )
= $true )
| ( ( SV488 = SV511 )
= $true )
| ( ( aNaturalNumber0 @ SV488 )
= $false )
| ( ( aNaturalNumber0 @ SV511 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6301]) ).
thf(6359,plain,
! [SV523: $i,SV512: $i,SV489: $i] :
( ( ( aNaturalNumber0 @ SV489 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV512 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV523 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV489 @ SV512 )
| ~ ( sdtlseqdt0 @ SV512 @ SV523 )
| ( sdtlseqdt0 @ SV489 @ SV523 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6302]) ).
thf(6360,plain,
! [SV513: $i,SV490: $i] :
( ( ( SV490 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ SV513 @ ( sdtasdt0 @ SV513 @ SV490 ) )
= $true )
| ( ( aNaturalNumber0 @ SV490 )
= $false )
| ( ( aNaturalNumber0 @ SV513 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6303]) ).
thf(6361,plain,
! [SV514: $i,SV491: $i] :
( ( ( ( SV491 = SV514 )
| ~ ( sdtlseqdt0 @ SV491 @ SV514 ) )
= $true )
| ( ( iLess0 @ SV491 @ SV514 )
= $true )
| ( ( aNaturalNumber0 @ SV491 )
= $false )
| ( ( aNaturalNumber0 @ SV514 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6305]) ).
thf(6362,plain,
! [SV525: $i,SV515: $i,SV492: $i] :
( ( ( aNaturalNumber0 @ SV492 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV515 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV525 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV492 @ SV515 )
| ~ ( doDivides0 @ SV515 @ SV525 )
| ( doDivides0 @ SV492 @ SV525 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6306]) ).
thf(6363,plain,
! [SV526: $i,SV516: $i,SV493: $i] :
( ( ( aNaturalNumber0 @ SV493 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV516 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV526 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV493 @ SV516 )
| ~ ( doDivides0 @ SV493 @ SV526 )
| ( doDivides0 @ SV493 @ ( sdtpldt0 @ SV516 @ SV526 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6307]) ).
thf(6364,plain,
! [SV527: $i,SV517: $i,SV494: $i] :
( ( ( aNaturalNumber0 @ SV494 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV517 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV527 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV494 @ SV517 )
| ~ ( doDivides0 @ SV494 @ ( sdtpldt0 @ SV517 @ SV527 ) )
| ( doDivides0 @ SV494 @ SV527 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6308]) ).
thf(6365,plain,
! [SV495: $i,SV518: $i] :
( ( ( ( SV518 = sz00 )
| ~ ( doDivides0 @ SV495 @ SV518 ) )
= $true )
| ( ( sdtlseqdt0 @ SV495 @ SV518 )
= $true )
| ( ( aNaturalNumber0 @ SV495 )
= $false )
| ( ( aNaturalNumber0 @ SV518 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6309]) ).
thf(6366,plain,
! [SV519: $i,SV496: $i] :
( ( ( ( SV496 = sz00 )
| ~ ( doDivides0 @ SV496 @ SV519 ) )
= $true )
| ( ( ! [SY634: $i] :
( ~ ( aNaturalNumber0 @ SY634 )
| ( ( sdtasdt0 @ SY634 @ ( sdtsldt0 @ SV519 @ SV496 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY634 @ SV519 ) @ SV496 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV496 )
= $false )
| ( ( aNaturalNumber0 @ SV519 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6310]) ).
thf(6367,plain,
! [SV553: $i,SV544: $i,SV497: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SV544 )
| ~ ( aNaturalNumber0 @ SV553 ) )
= $true )
| ( ( ( sdtasdt0 @ SV497 @ ( sdtpldt0 @ SV544 @ SV553 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV497 @ SV544 ) @ ( sdtasdt0 @ SV497 @ SV553 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6311]) ).
thf(6368,plain,
! [SV554: $i,SV545: $i,SV497: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SV545 )
| ~ ( aNaturalNumber0 @ SV554 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV545 @ SV554 ) @ SV497 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV545 @ SV497 ) @ ( sdtasdt0 @ SV554 @ SV497 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6312]) ).
thf(6369,plain,
! [SV546: $i,SV528: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV528 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV546 ) )
= $true )
| ( ( ( SV546 != SV528 )
| ( sdtlseqdt0 @ SV528 @ SV546 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6317]) ).
thf(6370,plain,
! [SV547: $i,SV529: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV529 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV547 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV547 @ SV529 )
| ( sdtlseqdt0 @ SV529 @ SV547 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6318]) ).
thf(6371,plain,
! [SV530: $i] :
( ( ( aNaturalNumber0 @ SV530 )
= $false )
| ( ( ( sdtpldt0 @ xp @ SV530 )
= xn )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6319]) ).
thf(6372,plain,
! [SV520: $i,SV498: $i] :
( ( ( ( SV498 = SV520 )
| ~ ( sdtlseqdt0 @ SV498 @ SV520 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY635: $i] :
( ~ ( aNaturalNumber0 @ SY635 )
| ( ( sdtpldt0 @ SV498 @ SY635 )
!= ( sdtpldt0 @ SV520 @ SY635 ) ) )
| ~ ~ ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) )
| ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) ) )
| ~ ! [SY638: $i] :
( ~ ( aNaturalNumber0 @ SY638 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV498 @ SY638 ) @ ( sdtpldt0 @ SV520 @ SY638 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6320]) ).
thf(6373,plain,
! [SV499: $i] :
( ( ! [SY572: $i,SY573: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY572 )
| ~ ( aNaturalNumber0 @ SY573 )
| ( SV499 = sz00 )
| ( SY572 = SY573 )
| ~ ( sdtlseqdt0 @ SY572 @ SY573 )
| ( ( sdtasdt0 @ SY572 @ SV499 )
!= ( sdtasdt0 @ SY573 @ SV499 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6321]) ).
thf(6374,plain,
! [SV499: $i] :
( ( ~ ( ~ ! [SY574: $i,SY575: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY574 )
| ~ ( aNaturalNumber0 @ SY575 )
| ( SV499 = sz00 )
| ( SY574 = SY575 )
| ~ ( sdtlseqdt0 @ SY574 @ SY575 )
| ( ( sdtasdt0 @ SV499 @ SY574 )
!= ( sdtasdt0 @ SV499 @ SY575 ) ) )
| ~ ! [SY576: $i,SY577: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY576 )
| ~ ( aNaturalNumber0 @ SY577 )
| ( SV499 = sz00 )
| ( SY576 = SY577 )
| ~ ( sdtlseqdt0 @ SY576 @ SY577 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SY576 ) @ ( sdtasdt0 @ SV499 @ SY577 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6322]) ).
thf(6375,plain,
! [SV555: $i,SV548: $i,SV499: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV548 )
| ~ ( aNaturalNumber0 @ SV555 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV548 = SV555 )
| ~ ( sdtlseqdt0 @ SV548 @ SV555 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV548 @ SV499 ) @ ( sdtasdt0 @ SV555 @ SV499 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6323]) ).
thf(6376,plain,
! [SV500: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV500 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV500 ) @ SV500 ) ) )
= $false )
| ( ( SV500 = sz10 )
= $true )
| ( ( SV500 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV500 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6324]) ).
thf(6377,plain,
! [SV500: $i] :
( ( ( ~ ( isPrime0 @ ( sK1_W1 @ SV500 ) ) )
= $false )
| ( ( SV500 = sz10 )
= $true )
| ( ( SV500 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV500 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6324]) ).
thf(6378,plain,
! [SV549: $i,SV531: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV531 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV549 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV531 @ SV549 )
!= sz00 )
| ( SV531 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6325]) ).
thf(6379,plain,
! [SV550: $i,SV532: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV532 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV550 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV532 @ SV550 )
!= sz00 )
| ( SV550 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6326]) ).
thf(6380,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6327]) ).
thf(6381,plain,
( ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6328]) ).
thf(6382,plain,
( ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6329]) ).
thf(6383,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6330]) ).
thf(6384,plain,
! [SV556: $i,SV551: $i,SV501: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SV551 )
| ~ ( aNaturalNumber0 @ SV556 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV501 @ SV551 )
!= ( sdtpldt0 @ SV501 @ SV556 ) )
| ( SV551 = SV556 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6331]) ).
thf(6385,plain,
! [SV557: $i,SV552: $i,SV501: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SV552 )
| ~ ( aNaturalNumber0 @ SV557 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV552 @ SV501 )
!= ( sdtpldt0 @ SV557 @ SV501 ) )
| ( SV552 = SV557 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6332]) ).
thf(6386,plain,
! [SV535: $i] :
( ( ( ( sz10 != SV535 ) )
= $true )
| ( ( ( SV535 = sz00 )
| ( SV535 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV535 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6335]) ).
thf(6387,plain,
! [SV536: $i] :
( ( ( sdtlseqdt0 @ sz10 @ SV536 )
= $true )
| ( ( ( SV536 = sz00 )
| ( SV536 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV536 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6336]) ).
thf(6388,plain,
! [SV537: $i] :
( ( ( aNaturalNumber0 @ SV537 )
= $false )
| ( ( ( sdtpldt0 @ ( sdtasdt0 @ xp @ xm ) @ SV537 )
= ( sdtasdt0 @ xp @ xk ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6337]) ).
thf(6389,plain,
! [SV502: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY584: $i,SY585: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY584 )
| ~ ( aNaturalNumber0 @ SY585 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY585
!= ( sdtasdt0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ SY585 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= SY585 ) ) ) )
| ( SY585 = sz00 )
| ( SY585 = sz10 )
| ! [SY586: $i] :
( ( ( sdtasdt0 @ SV502 @ SY584 )
!= ( sdtasdt0 @ SY585 @ SY586 ) )
| ~ ( aNaturalNumber0 @ SY586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY584 ) @ SY585 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY585 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( ( SY584
!= ( sdtasdt0 @ SY585 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) ) )
| ~ ! [SY587: $i,SY588: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY587 )
| ~ ( aNaturalNumber0 @ SY588 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY588
!= ( sdtasdt0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ SY588 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= SY588 ) ) ) )
| ( SY588 = sz00 )
| ( SY588 = sz10 )
| ! [SY589: $i] :
( ( ( sdtasdt0 @ SV502 @ SY587 )
!= ( sdtasdt0 @ SY588 @ SY589 ) )
| ~ ( aNaturalNumber0 @ SY589 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY587 ) @ SY588 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY588 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ( doDivides0 @ SY588 @ SY587 ) ) )
| ~ ~ ( ~ ! [SY590: $i,SY591: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY590 )
| ~ ( aNaturalNumber0 @ SY591 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY591
!= ( sdtasdt0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ SY591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= SY591 ) ) ) )
| ( SY591 = sz00 )
| ( SY591 = sz10 )
| ! [SY592: $i] :
( ( ( sdtasdt0 @ SV502 @ SY590 )
!= ( sdtasdt0 @ SY591 @ SY592 ) )
| ~ ( aNaturalNumber0 @ SY592 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY590 ) @ SY591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY591 @ SV502 )
| ~ ( ( SY590
!= ( sdtasdt0 @ SY591 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) ) )
| ~ ! [SY593: $i,SY594: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY593 )
| ~ ( aNaturalNumber0 @ SY594 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY594
!= ( sdtasdt0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ SY594 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= SY594 ) ) ) )
| ( SY594 = sz00 )
| ( SY594 = sz10 )
| ! [SY595: $i] :
( ( ( sdtasdt0 @ SV502 @ SY593 )
!= ( sdtasdt0 @ SY594 @ SY595 ) )
| ~ ( aNaturalNumber0 @ SY595 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY593 ) @ SY594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY594 @ SV502 )
| ( doDivides0 @ SY594 @ SY593 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6342]) ).
thf(6390,plain,
! [SV502: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY596: $i,SY597: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY596 )
| ~ ( aNaturalNumber0 @ SY597 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY597
!= ( sdtasdt0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ SY597 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= SY597 ) ) ) )
| ( SY597 = sz00 )
| ( SY597 = sz10 )
| ~ ( doDivides0 @ SY597 @ ( sdtasdt0 @ SV502 @ SY596 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY596 ) @ SY597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY597 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( ( SY596
!= ( sdtasdt0 @ SY597 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) ) )
| ~ ! [SY598: $i,SY599: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY598 )
| ~ ( aNaturalNumber0 @ SY599 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY599
!= ( sdtasdt0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ SY599 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= SY599 ) ) ) )
| ( SY599 = sz00 )
| ( SY599 = sz10 )
| ~ ( doDivides0 @ SY599 @ ( sdtasdt0 @ SV502 @ SY598 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY598 ) @ SY599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY599 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ( doDivides0 @ SY599 @ SY598 ) ) )
| ~ ~ ( ~ ! [SY600: $i,SY601: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY600 )
| ~ ( aNaturalNumber0 @ SY601 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY601
!= ( sdtasdt0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ SY601 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= SY601 ) ) ) )
| ( SY601 = sz00 )
| ( SY601 = sz10 )
| ~ ( doDivides0 @ SY601 @ ( sdtasdt0 @ SV502 @ SY600 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY600 ) @ SY601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY601 @ SV502 )
| ~ ( ( SY600
!= ( sdtasdt0 @ SY601 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) ) )
| ~ ! [SY602: $i,SY603: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY602 )
| ~ ( aNaturalNumber0 @ SY603 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY603
!= ( sdtasdt0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ SY603 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= SY603 ) ) ) )
| ( SY603 = sz00 )
| ( SY603 = sz10 )
| ~ ( doDivides0 @ SY603 @ ( sdtasdt0 @ SV502 @ SY602 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY602 ) @ SY603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY603 @ SV502 )
| ( doDivides0 @ SY603 @ SY602 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6343]) ).
thf(6391,plain,
! [SV502: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY604: $i,SY605: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY604 )
| ~ ( aNaturalNumber0 @ SY605 )
| ~ ( isPrime0 @ SY605 )
| ! [SY606: $i] :
( ( ( sdtasdt0 @ SV502 @ SY604 )
!= ( sdtasdt0 @ SY605 @ SY606 ) )
| ~ ( aNaturalNumber0 @ SY606 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY604 ) @ SY605 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY605 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( ( SY604
!= ( sdtasdt0 @ SY605 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) ) )
| ~ ! [SY607: $i,SY608: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY607 )
| ~ ( aNaturalNumber0 @ SY608 )
| ~ ( isPrime0 @ SY608 )
| ! [SY609: $i] :
( ( ( sdtasdt0 @ SV502 @ SY607 )
!= ( sdtasdt0 @ SY608 @ SY609 ) )
| ~ ( aNaturalNumber0 @ SY609 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY607 ) @ SY608 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY608 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ( doDivides0 @ SY608 @ SY607 ) ) )
| ~ ~ ( ~ ! [SY610: $i,SY611: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY610 )
| ~ ( aNaturalNumber0 @ SY611 )
| ~ ( isPrime0 @ SY611 )
| ! [SY612: $i] :
( ( ( sdtasdt0 @ SV502 @ SY610 )
!= ( sdtasdt0 @ SY611 @ SY612 ) )
| ~ ( aNaturalNumber0 @ SY612 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY610 ) @ SY611 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY611 @ SV502 )
| ~ ( ( SY610
!= ( sdtasdt0 @ SY611 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) ) )
| ~ ! [SY613: $i,SY614: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY613 )
| ~ ( aNaturalNumber0 @ SY614 )
| ~ ( isPrime0 @ SY614 )
| ! [SY615: $i] :
( ( ( sdtasdt0 @ SV502 @ SY613 )
!= ( sdtasdt0 @ SY614 @ SY615 ) )
| ~ ( aNaturalNumber0 @ SY615 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY613 ) @ SY614 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY614 @ SV502 )
| ( doDivides0 @ SY614 @ SY613 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6344]) ).
thf(6392,plain,
! [SV502: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY616: $i,SY617: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY616 )
| ~ ( aNaturalNumber0 @ SY617 )
| ~ ( isPrime0 @ SY617 )
| ~ ( doDivides0 @ SY617 @ ( sdtasdt0 @ SV502 @ SY616 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY616 ) @ SY617 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY617 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( ( SY616
!= ( sdtasdt0 @ SY617 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) ) )
| ~ ! [SY618: $i,SY619: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY618 )
| ~ ( aNaturalNumber0 @ SY619 )
| ~ ( isPrime0 @ SY619 )
| ~ ( doDivides0 @ SY619 @ ( sdtasdt0 @ SV502 @ SY618 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY618 ) @ SY619 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY619 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ( doDivides0 @ SY619 @ SY618 ) ) )
| ~ ~ ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY620 )
| ~ ( aNaturalNumber0 @ SY621 )
| ~ ( isPrime0 @ SY621 )
| ~ ( doDivides0 @ SY621 @ ( sdtasdt0 @ SV502 @ SY620 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY620 ) @ SY621 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY621 @ SV502 )
| ~ ( ( SY620
!= ( sdtasdt0 @ SY621 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) ) )
| ~ ! [SY622: $i,SY623: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY622 )
| ~ ( aNaturalNumber0 @ SY623 )
| ~ ( isPrime0 @ SY623 )
| ~ ( doDivides0 @ SY623 @ ( sdtasdt0 @ SV502 @ SY622 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY622 ) @ SY623 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY623 @ SV502 )
| ( doDivides0 @ SY623 @ SY622 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6345]) ).
thf(6393,plain,
! [SV540: $i] :
( ( ( aNaturalNumber0 @ SV540 )
= $false )
| ( ( ( sdtpldt0 @ xp @ SV540 )
= xm )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6346]) ).
thf(6394,plain,
! [SV503: $i] :
( ( ( ! [SY624: $i,SY625: $i] :
( ~ ( aNaturalNumber0 @ SY624 )
| ~ ( aNaturalNumber0 @ SY625 )
| ( ( sdtasdt0 @ SV503 @ SY624 )
!= ( sdtasdt0 @ SV503 @ SY625 ) )
| ( SY624 = SY625 ) ) )
= $true )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6347]) ).
thf(6395,plain,
! [SV503: $i] :
( ( ( ! [SY626: $i,SY627: $i] :
( ~ ( aNaturalNumber0 @ SY626 )
| ~ ( aNaturalNumber0 @ SY627 )
| ( ( sdtasdt0 @ SY626 @ SV503 )
!= ( sdtasdt0 @ SY627 @ SV503 ) )
| ( SY626 = SY627 ) ) )
= $true )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6348]) ).
thf(6396,plain,
( ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6349]) ).
thf(6397,plain,
( ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6350]) ).
thf(6398,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
| ~ ( isPrime0 @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6353]) ).
thf(6399,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) )
| ~ ( aNaturalNumber0 @ sK8_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6354]) ).
thf(6400,plain,
! [SV521: $i,SV483: $i,SV507: $i] :
( ( ( aNaturalNumber0 @ SV507 )
= $false )
| ( ( aNaturalNumber0 @ SV483 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV521 ) )
= $true )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV483 @ SV507 ) @ SV521 )
= ( sdtpldt0 @ SV483 @ ( sdtpldt0 @ SV507 @ SV521 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6355]) ).
thf(6401,plain,
! [SV522: $i,SV485: $i,SV509: $i] :
( ( ( aNaturalNumber0 @ SV509 )
= $false )
| ( ( aNaturalNumber0 @ SV485 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV522 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV485 @ SV509 ) @ SV522 )
= ( sdtasdt0 @ SV485 @ ( sdtasdt0 @ SV509 @ SV522 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6356]) ).
thf(6402,plain,
! [SV510: $i,SV486: $i] :
( ( ( ( sdtasdt0 @ SV486 @ SV510 )
= sz00 )
= $false )
| ( ( ( SV486 = sz00 )
| ( SV510 = sz00 ) )
= $true )
| ( ( aNaturalNumber0 @ SV486 )
= $false )
| ( ( aNaturalNumber0 @ SV510 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6357]) ).
thf(6403,plain,
! [SV511: $i,SV488: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV488 @ SV511 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV511 @ SV488 ) )
= $true )
| ( ( SV488 = SV511 )
= $true )
| ( ( aNaturalNumber0 @ SV488 )
= $false )
| ( ( aNaturalNumber0 @ SV511 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6358]) ).
thf(6404,plain,
! [SV523: $i,SV489: $i,SV512: $i] :
( ( ( aNaturalNumber0 @ SV512 )
= $false )
| ( ( aNaturalNumber0 @ SV489 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV523 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV489 @ SV512 )
| ~ ( sdtlseqdt0 @ SV512 @ SV523 )
| ( sdtlseqdt0 @ SV489 @ SV523 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6359]) ).
thf(6405,plain,
! [SV514: $i,SV491: $i] :
( ( ( SV491 = SV514 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV491 @ SV514 ) )
= $true )
| ( ( iLess0 @ SV491 @ SV514 )
= $true )
| ( ( aNaturalNumber0 @ SV491 )
= $false )
| ( ( aNaturalNumber0 @ SV514 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6361]) ).
thf(6406,plain,
! [SV525: $i,SV492: $i,SV515: $i] :
( ( ( aNaturalNumber0 @ SV515 )
= $false )
| ( ( aNaturalNumber0 @ SV492 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV525 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV492 @ SV515 )
| ~ ( doDivides0 @ SV515 @ SV525 )
| ( doDivides0 @ SV492 @ SV525 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6362]) ).
thf(6407,plain,
! [SV526: $i,SV493: $i,SV516: $i] :
( ( ( aNaturalNumber0 @ SV516 )
= $false )
| ( ( aNaturalNumber0 @ SV493 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV526 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV493 @ SV516 )
| ~ ( doDivides0 @ SV493 @ SV526 )
| ( doDivides0 @ SV493 @ ( sdtpldt0 @ SV516 @ SV526 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6363]) ).
thf(6408,plain,
! [SV527: $i,SV494: $i,SV517: $i] :
( ( ( aNaturalNumber0 @ SV517 )
= $false )
| ( ( aNaturalNumber0 @ SV494 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV527 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV494 @ SV517 )
| ~ ( doDivides0 @ SV494 @ ( sdtpldt0 @ SV517 @ SV527 ) )
| ( doDivides0 @ SV494 @ SV527 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6364]) ).
thf(6409,plain,
! [SV495: $i,SV518: $i] :
( ( ( SV518 = sz00 )
= $true )
| ( ( ~ ( doDivides0 @ SV495 @ SV518 ) )
= $true )
| ( ( sdtlseqdt0 @ SV495 @ SV518 )
= $true )
| ( ( aNaturalNumber0 @ SV495 )
= $false )
| ( ( aNaturalNumber0 @ SV518 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6365]) ).
thf(6410,plain,
! [SV519: $i,SV496: $i] :
( ( ( SV496 = sz00 )
= $true )
| ( ( ~ ( doDivides0 @ SV496 @ SV519 ) )
= $true )
| ( ( ! [SY634: $i] :
( ~ ( aNaturalNumber0 @ SY634 )
| ( ( sdtasdt0 @ SY634 @ ( sdtsldt0 @ SV519 @ SV496 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY634 @ SV519 ) @ SV496 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV496 )
= $false )
| ( ( aNaturalNumber0 @ SV519 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6366]) ).
thf(6411,plain,
! [SV553: $i,SV544: $i,SV497: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SV544 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV553 ) )
= $true )
| ( ( ( sdtasdt0 @ SV497 @ ( sdtpldt0 @ SV544 @ SV553 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV497 @ SV544 ) @ ( sdtasdt0 @ SV497 @ SV553 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6367]) ).
thf(6412,plain,
! [SV554: $i,SV545: $i,SV497: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV497 )
| ~ ( aNaturalNumber0 @ SV545 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV554 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV545 @ SV554 ) @ SV497 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV545 @ SV497 ) @ ( sdtasdt0 @ SV554 @ SV497 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6368]) ).
thf(6413,plain,
! [SV546: $i,SV528: $i] :
( ( ( aNaturalNumber0 @ SV528 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV546 ) )
= $true )
| ( ( ( SV546 != SV528 )
| ( sdtlseqdt0 @ SV528 @ SV546 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6369]) ).
thf(6414,plain,
! [SV547: $i,SV529: $i] :
( ( ( aNaturalNumber0 @ SV529 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV547 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV547 @ SV529 )
| ( sdtlseqdt0 @ SV529 @ SV547 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6370]) ).
thf(6415,plain,
! [SV520: $i,SV498: $i] :
( ( ( SV498 = SV520 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV498 @ SV520 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY635: $i] :
( ~ ( aNaturalNumber0 @ SY635 )
| ( ( sdtpldt0 @ SV498 @ SY635 )
!= ( sdtpldt0 @ SV520 @ SY635 ) ) )
| ~ ~ ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) )
| ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) ) )
| ~ ! [SY638: $i] :
( ~ ( aNaturalNumber0 @ SY638 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV498 @ SY638 ) @ ( sdtpldt0 @ SV520 @ SY638 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6372]) ).
thf(6416,plain,
! [SV558: $i,SV499: $i] :
( ( ! [SY648: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV558 )
| ~ ( aNaturalNumber0 @ SY648 )
| ( SV499 = sz00 )
| ( SV558 = SY648 )
| ~ ( sdtlseqdt0 @ SV558 @ SY648 )
| ( ( sdtasdt0 @ SV558 @ SV499 )
!= ( sdtasdt0 @ SY648 @ SV499 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6373]) ).
thf(6417,plain,
! [SV499: $i] :
( ( ~ ! [SY574: $i,SY575: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY574 )
| ~ ( aNaturalNumber0 @ SY575 )
| ( SV499 = sz00 )
| ( SY574 = SY575 )
| ~ ( sdtlseqdt0 @ SY574 @ SY575 )
| ( ( sdtasdt0 @ SV499 @ SY574 )
!= ( sdtasdt0 @ SV499 @ SY575 ) ) )
| ~ ! [SY576: $i,SY577: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY576 )
| ~ ( aNaturalNumber0 @ SY577 )
| ( SV499 = sz00 )
| ( SY576 = SY577 )
| ~ ( sdtlseqdt0 @ SY576 @ SY577 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SY576 ) @ ( sdtasdt0 @ SV499 @ SY577 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6374]) ).
thf(6418,plain,
! [SV555: $i,SV548: $i,SV499: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV548 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV555 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV548 = SV555 )
| ~ ( sdtlseqdt0 @ SV548 @ SV555 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV548 @ SV499 ) @ ( sdtasdt0 @ SV555 @ SV499 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6375]) ).
thf(6419,plain,
! [SV500: $i] :
( ( ( ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV500 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV500 ) @ SV500 ) ) )
= $true )
| ( ( SV500 = sz10 )
= $true )
| ( ( SV500 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV500 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6376]) ).
thf(6420,plain,
! [SV500: $i] :
( ( ( isPrime0 @ ( sK1_W1 @ SV500 ) )
= $true )
| ( ( SV500 = sz10 )
= $true )
| ( ( SV500 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV500 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6377]) ).
thf(6421,plain,
! [SV549: $i,SV531: $i] :
( ( ( aNaturalNumber0 @ SV531 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV549 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV531 @ SV549 )
!= sz00 )
| ( SV531 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6378]) ).
thf(6422,plain,
! [SV550: $i,SV532: $i] :
( ( ( aNaturalNumber0 @ SV532 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV550 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV532 @ SV550 )
!= sz00 )
| ( SV550 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6379]) ).
thf(6423,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6380]) ).
thf(6424,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6380]) ).
thf(6425,plain,
( ( ~ ( ( xr != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6381]) ).
thf(6426,plain,
( ( ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6381]) ).
thf(6427,plain,
( ( ( ( sdtpldt0 @ xr @ sK4_W0 )
!= xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6382]) ).
thf(6428,plain,
( ( ~ ( aNaturalNumber0 @ sK4_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6382]) ).
thf(6429,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK3_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6383]) ).
thf(6430,plain,
( ( ~ ( aNaturalNumber0 @ sK3_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6383]) ).
thf(6431,plain,
! [SV556: $i,SV551: $i,SV501: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SV551 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV556 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV501 @ SV551 )
!= ( sdtpldt0 @ SV501 @ SV556 ) )
| ( SV551 = SV556 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6384]) ).
thf(6432,plain,
! [SV557: $i,SV552: $i,SV501: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV501 )
| ~ ( aNaturalNumber0 @ SV552 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV557 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV552 @ SV501 )
!= ( sdtpldt0 @ SV557 @ SV501 ) )
| ( SV552 = SV557 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6385]) ).
thf(6433,plain,
! [SV535: $i] :
( ( ( sz10 = SV535 )
= $false )
| ( ( ( SV535 = sz00 )
| ( SV535 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV535 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6386]) ).
thf(6434,plain,
! [SV536: $i] :
( ( ( SV536 = sz00 )
= $true )
| ( ( SV536 = sz10 )
= $true )
| ( ( sdtlseqdt0 @ sz10 @ SV536 )
= $true )
| ( ( aNaturalNumber0 @ SV536 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6387]) ).
thf(6435,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ! [SY584: $i,SY585: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY584 )
| ~ ( aNaturalNumber0 @ SY585 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY585
!= ( sdtasdt0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ SY585 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= SY585 ) ) ) )
| ( SY585 = sz00 )
| ( SY585 = sz10 )
| ! [SY586: $i] :
( ( ( sdtasdt0 @ SV502 @ SY584 )
!= ( sdtasdt0 @ SY585 @ SY586 ) )
| ~ ( aNaturalNumber0 @ SY586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY584 ) @ SY585 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY585 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( ( SY584
!= ( sdtasdt0 @ SY585 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) ) )
| ~ ! [SY587: $i,SY588: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY587 )
| ~ ( aNaturalNumber0 @ SY588 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY588
!= ( sdtasdt0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ SY588 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= SY588 ) ) ) )
| ( SY588 = sz00 )
| ( SY588 = sz10 )
| ! [SY589: $i] :
( ( ( sdtasdt0 @ SV502 @ SY587 )
!= ( sdtasdt0 @ SY588 @ SY589 ) )
| ~ ( aNaturalNumber0 @ SY589 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY587 ) @ SY588 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY588 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ( doDivides0 @ SY588 @ SY587 ) ) )
| ~ ~ ( ~ ! [SY590: $i,SY591: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY590 )
| ~ ( aNaturalNumber0 @ SY591 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY591
!= ( sdtasdt0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ SY591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= SY591 ) ) ) )
| ( SY591 = sz00 )
| ( SY591 = sz10 )
| ! [SY592: $i] :
( ( ( sdtasdt0 @ SV502 @ SY590 )
!= ( sdtasdt0 @ SY591 @ SY592 ) )
| ~ ( aNaturalNumber0 @ SY592 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY590 ) @ SY591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY591 @ SV502 )
| ~ ( ( SY590
!= ( sdtasdt0 @ SY591 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) ) )
| ~ ! [SY593: $i,SY594: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY593 )
| ~ ( aNaturalNumber0 @ SY594 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY594
!= ( sdtasdt0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ SY594 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= SY594 ) ) ) )
| ( SY594 = sz00 )
| ( SY594 = sz10 )
| ! [SY595: $i] :
( ( ( sdtasdt0 @ SV502 @ SY593 )
!= ( sdtasdt0 @ SY594 @ SY595 ) )
| ~ ( aNaturalNumber0 @ SY595 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY593 ) @ SY594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY594 @ SV502 )
| ( doDivides0 @ SY594 @ SY593 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6389]) ).
thf(6436,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ! [SY596: $i,SY597: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY596 )
| ~ ( aNaturalNumber0 @ SY597 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY597
!= ( sdtasdt0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ SY597 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= SY597 ) ) ) )
| ( SY597 = sz00 )
| ( SY597 = sz10 )
| ~ ( doDivides0 @ SY597 @ ( sdtasdt0 @ SV502 @ SY596 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY596 ) @ SY597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY597 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( ( SY596
!= ( sdtasdt0 @ SY597 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) ) )
| ~ ! [SY598: $i,SY599: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY598 )
| ~ ( aNaturalNumber0 @ SY599 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY599
!= ( sdtasdt0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ SY599 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= SY599 ) ) ) )
| ( SY599 = sz00 )
| ( SY599 = sz10 )
| ~ ( doDivides0 @ SY599 @ ( sdtasdt0 @ SV502 @ SY598 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY598 ) @ SY599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY599 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ( doDivides0 @ SY599 @ SY598 ) ) )
| ~ ~ ( ~ ! [SY600: $i,SY601: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY600 )
| ~ ( aNaturalNumber0 @ SY601 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY601
!= ( sdtasdt0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ SY601 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= SY601 ) ) ) )
| ( SY601 = sz00 )
| ( SY601 = sz10 )
| ~ ( doDivides0 @ SY601 @ ( sdtasdt0 @ SV502 @ SY600 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY600 ) @ SY601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY601 @ SV502 )
| ~ ( ( SY600
!= ( sdtasdt0 @ SY601 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) ) )
| ~ ! [SY602: $i,SY603: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY602 )
| ~ ( aNaturalNumber0 @ SY603 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY603
!= ( sdtasdt0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ SY603 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= SY603 ) ) ) )
| ( SY603 = sz00 )
| ( SY603 = sz10 )
| ~ ( doDivides0 @ SY603 @ ( sdtasdt0 @ SV502 @ SY602 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY602 ) @ SY603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY603 @ SV502 )
| ( doDivides0 @ SY603 @ SY602 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6390]) ).
thf(6437,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ! [SY604: $i,SY605: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY604 )
| ~ ( aNaturalNumber0 @ SY605 )
| ~ ( isPrime0 @ SY605 )
| ! [SY606: $i] :
( ( ( sdtasdt0 @ SV502 @ SY604 )
!= ( sdtasdt0 @ SY605 @ SY606 ) )
| ~ ( aNaturalNumber0 @ SY606 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY604 ) @ SY605 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY605 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( ( SY604
!= ( sdtasdt0 @ SY605 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) ) )
| ~ ! [SY607: $i,SY608: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY607 )
| ~ ( aNaturalNumber0 @ SY608 )
| ~ ( isPrime0 @ SY608 )
| ! [SY609: $i] :
( ( ( sdtasdt0 @ SV502 @ SY607 )
!= ( sdtasdt0 @ SY608 @ SY609 ) )
| ~ ( aNaturalNumber0 @ SY609 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY607 ) @ SY608 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY608 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ( doDivides0 @ SY608 @ SY607 ) ) )
| ~ ~ ( ~ ! [SY610: $i,SY611: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY610 )
| ~ ( aNaturalNumber0 @ SY611 )
| ~ ( isPrime0 @ SY611 )
| ! [SY612: $i] :
( ( ( sdtasdt0 @ SV502 @ SY610 )
!= ( sdtasdt0 @ SY611 @ SY612 ) )
| ~ ( aNaturalNumber0 @ SY612 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY610 ) @ SY611 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY611 @ SV502 )
| ~ ( ( SY610
!= ( sdtasdt0 @ SY611 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) ) )
| ~ ! [SY613: $i,SY614: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY613 )
| ~ ( aNaturalNumber0 @ SY614 )
| ~ ( isPrime0 @ SY614 )
| ! [SY615: $i] :
( ( ( sdtasdt0 @ SV502 @ SY613 )
!= ( sdtasdt0 @ SY614 @ SY615 ) )
| ~ ( aNaturalNumber0 @ SY615 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY613 ) @ SY614 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY614 @ SV502 )
| ( doDivides0 @ SY614 @ SY613 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6391]) ).
thf(6438,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ! [SY616: $i,SY617: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY616 )
| ~ ( aNaturalNumber0 @ SY617 )
| ~ ( isPrime0 @ SY617 )
| ~ ( doDivides0 @ SY617 @ ( sdtasdt0 @ SV502 @ SY616 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY616 ) @ SY617 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY617 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( ( SY616
!= ( sdtasdt0 @ SY617 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) ) )
| ~ ! [SY618: $i,SY619: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY618 )
| ~ ( aNaturalNumber0 @ SY619 )
| ~ ( isPrime0 @ SY619 )
| ~ ( doDivides0 @ SY619 @ ( sdtasdt0 @ SV502 @ SY618 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY618 ) @ SY619 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY619 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ( doDivides0 @ SY619 @ SY618 ) ) )
| ~ ~ ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY620 )
| ~ ( aNaturalNumber0 @ SY621 )
| ~ ( isPrime0 @ SY621 )
| ~ ( doDivides0 @ SY621 @ ( sdtasdt0 @ SV502 @ SY620 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY620 ) @ SY621 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY621 @ SV502 )
| ~ ( ( SY620
!= ( sdtasdt0 @ SY621 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) ) )
| ~ ! [SY622: $i,SY623: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY622 )
| ~ ( aNaturalNumber0 @ SY623 )
| ~ ( isPrime0 @ SY623 )
| ~ ( doDivides0 @ SY623 @ ( sdtasdt0 @ SV502 @ SY622 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY622 ) @ SY623 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY623 @ SV502 )
| ( doDivides0 @ SY623 @ SY622 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6392]) ).
thf(6439,plain,
! [SV503: $i,SV559: $i] :
( ( ( ! [SY649: $i] :
( ~ ( aNaturalNumber0 @ SV559 )
| ~ ( aNaturalNumber0 @ SY649 )
| ( ( sdtasdt0 @ SV503 @ SV559 )
!= ( sdtasdt0 @ SV503 @ SY649 ) )
| ( SV559 = SY649 ) ) )
= $true )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6394]) ).
thf(6440,plain,
! [SV503: $i,SV560: $i] :
( ( ( ! [SY650: $i] :
( ~ ( aNaturalNumber0 @ SV560 )
| ~ ( aNaturalNumber0 @ SY650 )
| ( ( sdtasdt0 @ SV560 @ SV503 )
!= ( sdtasdt0 @ SY650 @ SV503 ) )
| ( SV560 = SY650 ) ) )
= $true )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6395]) ).
thf(6441,plain,
( ( ~ ( ( xm != xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6396]) ).
thf(6442,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6396]) ).
thf(6443,plain,
( ( ( ( sdtpldt0 @ xm @ sK6_W0 )
!= xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6397]) ).
thf(6444,plain,
( ( ~ ( aNaturalNumber0 @ sK6_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6397]) ).
thf(6445,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6398]) ).
thf(6446,plain,
( ( ~ ( isPrime0 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6398]) ).
thf(6447,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK8_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6399]) ).
thf(6448,plain,
( ( ~ ( aNaturalNumber0 @ sK8_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6399]) ).
thf(6449,plain,
! [SV507: $i,SV483: $i,SV521: $i] :
( ( ( aNaturalNumber0 @ SV521 )
= $false )
| ( ( aNaturalNumber0 @ SV483 )
= $false )
| ( ( aNaturalNumber0 @ SV507 )
= $false )
| ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV483 @ SV507 ) @ SV521 )
= ( sdtpldt0 @ SV483 @ ( sdtpldt0 @ SV507 @ SV521 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6400]) ).
thf(6450,plain,
! [SV509: $i,SV485: $i,SV522: $i] :
( ( ( aNaturalNumber0 @ SV522 )
= $false )
| ( ( aNaturalNumber0 @ SV485 )
= $false )
| ( ( aNaturalNumber0 @ SV509 )
= $false )
| ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV485 @ SV509 ) @ SV522 )
= ( sdtasdt0 @ SV485 @ ( sdtasdt0 @ SV509 @ SV522 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6401]) ).
thf(6451,plain,
! [SV510: $i,SV486: $i] :
( ( ( SV486 = sz00 )
= $true )
| ( ( SV510 = sz00 )
= $true )
| ( ( ( sdtasdt0 @ SV486 @ SV510 )
= sz00 )
= $false )
| ( ( aNaturalNumber0 @ SV486 )
= $false )
| ( ( aNaturalNumber0 @ SV510 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6402]) ).
thf(6452,plain,
! [SV511: $i,SV488: $i] :
( ( ( sdtlseqdt0 @ SV488 @ SV511 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV511 @ SV488 ) )
= $true )
| ( ( SV488 = SV511 )
= $true )
| ( ( aNaturalNumber0 @ SV488 )
= $false )
| ( ( aNaturalNumber0 @ SV511 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6403]) ).
thf(6453,plain,
! [SV512: $i,SV489: $i,SV523: $i] :
( ( ( aNaturalNumber0 @ SV523 )
= $false )
| ( ( aNaturalNumber0 @ SV489 )
= $false )
| ( ( aNaturalNumber0 @ SV512 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV489 @ SV512 )
| ~ ( sdtlseqdt0 @ SV512 @ SV523 )
| ( sdtlseqdt0 @ SV489 @ SV523 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6404]) ).
thf(6454,plain,
! [SV514: $i,SV491: $i] :
( ( ( sdtlseqdt0 @ SV491 @ SV514 )
= $false )
| ( ( SV491 = SV514 )
= $true )
| ( ( iLess0 @ SV491 @ SV514 )
= $true )
| ( ( aNaturalNumber0 @ SV491 )
= $false )
| ( ( aNaturalNumber0 @ SV514 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6405]) ).
thf(6455,plain,
! [SV515: $i,SV492: $i,SV525: $i] :
( ( ( aNaturalNumber0 @ SV525 )
= $false )
| ( ( aNaturalNumber0 @ SV492 )
= $false )
| ( ( aNaturalNumber0 @ SV515 )
= $false )
| ( ( ~ ( doDivides0 @ SV492 @ SV515 )
| ~ ( doDivides0 @ SV515 @ SV525 )
| ( doDivides0 @ SV492 @ SV525 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6406]) ).
thf(6456,plain,
! [SV516: $i,SV493: $i,SV526: $i] :
( ( ( aNaturalNumber0 @ SV526 )
= $false )
| ( ( aNaturalNumber0 @ SV493 )
= $false )
| ( ( aNaturalNumber0 @ SV516 )
= $false )
| ( ( ~ ( doDivides0 @ SV493 @ SV516 )
| ~ ( doDivides0 @ SV493 @ SV526 )
| ( doDivides0 @ SV493 @ ( sdtpldt0 @ SV516 @ SV526 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6407]) ).
thf(6457,plain,
! [SV517: $i,SV494: $i,SV527: $i] :
( ( ( aNaturalNumber0 @ SV527 )
= $false )
| ( ( aNaturalNumber0 @ SV494 )
= $false )
| ( ( aNaturalNumber0 @ SV517 )
= $false )
| ( ( ~ ( doDivides0 @ SV494 @ SV517 )
| ~ ( doDivides0 @ SV494 @ ( sdtpldt0 @ SV517 @ SV527 ) )
| ( doDivides0 @ SV494 @ SV527 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6408]) ).
thf(6458,plain,
! [SV518: $i,SV495: $i] :
( ( ( doDivides0 @ SV495 @ SV518 )
= $false )
| ( ( SV518 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ SV495 @ SV518 )
= $true )
| ( ( aNaturalNumber0 @ SV495 )
= $false )
| ( ( aNaturalNumber0 @ SV518 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6409]) ).
thf(6459,plain,
! [SV519: $i,SV496: $i] :
( ( ( doDivides0 @ SV496 @ SV519 )
= $false )
| ( ( SV496 = sz00 )
= $true )
| ( ( ! [SY634: $i] :
( ~ ( aNaturalNumber0 @ SY634 )
| ( ( sdtasdt0 @ SY634 @ ( sdtsldt0 @ SV519 @ SV496 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY634 @ SV519 ) @ SV496 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV496 )
= $false )
| ( ( aNaturalNumber0 @ SV519 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6410]) ).
thf(6460,plain,
! [SV553: $i,SV544: $i,SV497: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV497 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV544 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV553 ) )
= $true )
| ( ( ( sdtasdt0 @ SV497 @ ( sdtpldt0 @ SV544 @ SV553 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV497 @ SV544 ) @ ( sdtasdt0 @ SV497 @ SV553 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6411]) ).
thf(6461,plain,
! [SV554: $i,SV545: $i,SV497: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV497 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV545 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV554 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV545 @ SV554 ) @ SV497 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV545 @ SV497 ) @ ( sdtasdt0 @ SV554 @ SV497 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6412]) ).
thf(6462,plain,
! [SV528: $i,SV546: $i] :
( ( ( aNaturalNumber0 @ SV546 )
= $false )
| ( ( aNaturalNumber0 @ SV528 )
= $false )
| ( ( ( SV546 != SV528 )
| ( sdtlseqdt0 @ SV528 @ SV546 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6413]) ).
thf(6463,plain,
! [SV529: $i,SV547: $i] :
( ( ( aNaturalNumber0 @ SV547 )
= $false )
| ( ( aNaturalNumber0 @ SV529 )
= $false )
| ( ( ( sdtlseqdt0 @ SV547 @ SV529 )
| ( sdtlseqdt0 @ SV529 @ SV547 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6414]) ).
thf(6464,plain,
! [SV520: $i,SV498: $i] :
( ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( SV498 = SV520 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY635: $i] :
( ~ ( aNaturalNumber0 @ SY635 )
| ( ( sdtpldt0 @ SV498 @ SY635 )
!= ( sdtpldt0 @ SV520 @ SY635 ) ) )
| ~ ~ ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) )
| ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) ) )
| ~ ! [SY638: $i] :
( ~ ( aNaturalNumber0 @ SY638 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV498 @ SY638 ) @ ( sdtpldt0 @ SV520 @ SY638 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6415]) ).
thf(6465,plain,
! [SV561: $i,SV558: $i,SV499: $i] :
( ( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV558 )
| ~ ( aNaturalNumber0 @ SV561 )
| ( SV499 = sz00 )
| ( SV558 = SV561 )
| ~ ( sdtlseqdt0 @ SV558 @ SV561 )
| ( ( sdtasdt0 @ SV558 @ SV499 )
!= ( sdtasdt0 @ SV561 @ SV499 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6416]) ).
thf(6466,plain,
! [SV499: $i] :
( ( ~ ! [SY574: $i,SY575: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY574 )
| ~ ( aNaturalNumber0 @ SY575 )
| ( SV499 = sz00 )
| ( SY574 = SY575 )
| ~ ( sdtlseqdt0 @ SY574 @ SY575 )
| ( ( sdtasdt0 @ SV499 @ SY574 )
!= ( sdtasdt0 @ SV499 @ SY575 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6417]) ).
thf(6467,plain,
! [SV499: $i] :
( ( ~ ! [SY576: $i,SY577: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY576 )
| ~ ( aNaturalNumber0 @ SY577 )
| ( SV499 = sz00 )
| ( SY576 = SY577 )
| ~ ( sdtlseqdt0 @ SY576 @ SY577 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SY576 ) @ ( sdtasdt0 @ SV499 @ SY577 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6417]) ).
thf(6468,plain,
! [SV555: $i,SV548: $i,SV499: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV499 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV548 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV555 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV548 = SV555 )
| ~ ( sdtlseqdt0 @ SV548 @ SV555 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV548 @ SV499 ) @ ( sdtasdt0 @ SV555 @ SV499 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6418]) ).
thf(6469,plain,
! [SV500: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV500 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV500 ) @ SV500 ) )
= $false )
| ( ( SV500 = sz10 )
= $true )
| ( ( SV500 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV500 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6419]) ).
thf(6470,plain,
! [SV531: $i,SV549: $i] :
( ( ( aNaturalNumber0 @ SV549 )
= $false )
| ( ( aNaturalNumber0 @ SV531 )
= $false )
| ( ( ( ( sdtpldt0 @ SV531 @ SV549 )
!= sz00 )
| ( SV531 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6421]) ).
thf(6471,plain,
! [SV532: $i,SV550: $i] :
( ( ( aNaturalNumber0 @ SV550 )
= $false )
| ( ( aNaturalNumber0 @ SV532 )
= $false )
| ( ( ( ( sdtpldt0 @ SV532 @ SV550 )
!= sz00 )
| ( SV550 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6422]) ).
thf(6472,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6423]) ).
thf(6473,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6424]) ).
thf(6474,plain,
( ( ( xr != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6425]) ).
thf(6475,plain,
( ( ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6426]) ).
thf(6476,plain,
( ( ( sdtpldt0 @ xr @ sK4_W0 )
= xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6427]) ).
thf(6477,plain,
( ( aNaturalNumber0 @ sK4_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6428]) ).
thf(6478,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sK3_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6429]) ).
thf(6479,plain,
( ( aNaturalNumber0 @ sK3_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6430]) ).
thf(6480,plain,
! [SV556: $i,SV551: $i,SV501: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV501 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV551 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV556 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV501 @ SV551 )
!= ( sdtpldt0 @ SV501 @ SV556 ) )
| ( SV551 = SV556 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6431]) ).
thf(6481,plain,
! [SV557: $i,SV552: $i,SV501: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV501 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV552 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV557 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV552 @ SV501 )
!= ( sdtpldt0 @ SV557 @ SV501 ) )
| ( SV552 = SV557 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6432]) ).
thf(6482,plain,
! [SV535: $i] :
( ( ( SV535 = sz00 )
= $true )
| ( ( SV535 = sz10 )
= $true )
| ( ( sz10 = SV535 )
= $false )
| ( ( aNaturalNumber0 @ SV535 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6433]) ).
thf(6483,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ! [SY584: $i,SY585: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY584 )
| ~ ( aNaturalNumber0 @ SY585 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY585
!= ( sdtasdt0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ SY585 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= SY585 ) ) ) )
| ( SY585 = sz00 )
| ( SY585 = sz10 )
| ! [SY586: $i] :
( ( ( sdtasdt0 @ SV502 @ SY584 )
!= ( sdtasdt0 @ SY585 @ SY586 ) )
| ~ ( aNaturalNumber0 @ SY586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY584 ) @ SY585 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY585 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( ( SY584
!= ( sdtasdt0 @ SY585 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) ) )
| ~ ! [SY587: $i,SY588: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY587 )
| ~ ( aNaturalNumber0 @ SY588 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY588
!= ( sdtasdt0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ SY588 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= SY588 ) ) ) )
| ( SY588 = sz00 )
| ( SY588 = sz10 )
| ! [SY589: $i] :
( ( ( sdtasdt0 @ SV502 @ SY587 )
!= ( sdtasdt0 @ SY588 @ SY589 ) )
| ~ ( aNaturalNumber0 @ SY589 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY587 ) @ SY588 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY588 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ( doDivides0 @ SY588 @ SY587 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6435]) ).
thf(6484,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ! [SY590: $i,SY591: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY590 )
| ~ ( aNaturalNumber0 @ SY591 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY591
!= ( sdtasdt0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ SY591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= SY591 ) ) ) )
| ( SY591 = sz00 )
| ( SY591 = sz10 )
| ! [SY592: $i] :
( ( ( sdtasdt0 @ SV502 @ SY590 )
!= ( sdtasdt0 @ SY591 @ SY592 ) )
| ~ ( aNaturalNumber0 @ SY592 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY590 ) @ SY591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY591 @ SV502 )
| ~ ( ( SY590
!= ( sdtasdt0 @ SY591 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) ) )
| ~ ! [SY593: $i,SY594: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY593 )
| ~ ( aNaturalNumber0 @ SY594 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY594
!= ( sdtasdt0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ SY594 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= SY594 ) ) ) )
| ( SY594 = sz00 )
| ( SY594 = sz10 )
| ! [SY595: $i] :
( ( ( sdtasdt0 @ SV502 @ SY593 )
!= ( sdtasdt0 @ SY594 @ SY595 ) )
| ~ ( aNaturalNumber0 @ SY595 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY593 ) @ SY594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY594 @ SV502 )
| ( doDivides0 @ SY594 @ SY593 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6435]) ).
thf(6485,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ! [SY596: $i,SY597: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY596 )
| ~ ( aNaturalNumber0 @ SY597 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY597
!= ( sdtasdt0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ SY597 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= SY597 ) ) ) )
| ( SY597 = sz00 )
| ( SY597 = sz10 )
| ~ ( doDivides0 @ SY597 @ ( sdtasdt0 @ SV502 @ SY596 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY596 ) @ SY597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY597 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( ( SY596
!= ( sdtasdt0 @ SY597 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) ) )
| ~ ! [SY598: $i,SY599: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY598 )
| ~ ( aNaturalNumber0 @ SY599 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY599
!= ( sdtasdt0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ SY599 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= SY599 ) ) ) )
| ( SY599 = sz00 )
| ( SY599 = sz10 )
| ~ ( doDivides0 @ SY599 @ ( sdtasdt0 @ SV502 @ SY598 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY598 ) @ SY599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY599 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ( doDivides0 @ SY599 @ SY598 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6436]) ).
thf(6486,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ! [SY600: $i,SY601: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY600 )
| ~ ( aNaturalNumber0 @ SY601 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY601
!= ( sdtasdt0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ SY601 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= SY601 ) ) ) )
| ( SY601 = sz00 )
| ( SY601 = sz10 )
| ~ ( doDivides0 @ SY601 @ ( sdtasdt0 @ SV502 @ SY600 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY600 ) @ SY601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY601 @ SV502 )
| ~ ( ( SY600
!= ( sdtasdt0 @ SY601 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) ) )
| ~ ! [SY602: $i,SY603: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY602 )
| ~ ( aNaturalNumber0 @ SY603 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY603
!= ( sdtasdt0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ SY603 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= SY603 ) ) ) )
| ( SY603 = sz00 )
| ( SY603 = sz10 )
| ~ ( doDivides0 @ SY603 @ ( sdtasdt0 @ SV502 @ SY602 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY602 ) @ SY603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY603 @ SV502 )
| ( doDivides0 @ SY603 @ SY602 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6436]) ).
thf(6487,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ! [SY604: $i,SY605: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY604 )
| ~ ( aNaturalNumber0 @ SY605 )
| ~ ( isPrime0 @ SY605 )
| ! [SY606: $i] :
( ( ( sdtasdt0 @ SV502 @ SY604 )
!= ( sdtasdt0 @ SY605 @ SY606 ) )
| ~ ( aNaturalNumber0 @ SY606 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY604 ) @ SY605 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY605 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( ( SY604
!= ( sdtasdt0 @ SY605 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) ) )
| ~ ! [SY607: $i,SY608: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY607 )
| ~ ( aNaturalNumber0 @ SY608 )
| ~ ( isPrime0 @ SY608 )
| ! [SY609: $i] :
( ( ( sdtasdt0 @ SV502 @ SY607 )
!= ( sdtasdt0 @ SY608 @ SY609 ) )
| ~ ( aNaturalNumber0 @ SY609 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY607 ) @ SY608 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY608 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ( doDivides0 @ SY608 @ SY607 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6437]) ).
thf(6488,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ! [SY610: $i,SY611: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY610 )
| ~ ( aNaturalNumber0 @ SY611 )
| ~ ( isPrime0 @ SY611 )
| ! [SY612: $i] :
( ( ( sdtasdt0 @ SV502 @ SY610 )
!= ( sdtasdt0 @ SY611 @ SY612 ) )
| ~ ( aNaturalNumber0 @ SY612 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY610 ) @ SY611 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY611 @ SV502 )
| ~ ( ( SY610
!= ( sdtasdt0 @ SY611 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) ) )
| ~ ! [SY613: $i,SY614: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY613 )
| ~ ( aNaturalNumber0 @ SY614 )
| ~ ( isPrime0 @ SY614 )
| ! [SY615: $i] :
( ( ( sdtasdt0 @ SV502 @ SY613 )
!= ( sdtasdt0 @ SY614 @ SY615 ) )
| ~ ( aNaturalNumber0 @ SY615 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY613 ) @ SY614 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY614 @ SV502 )
| ( doDivides0 @ SY614 @ SY613 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6437]) ).
thf(6489,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ! [SY616: $i,SY617: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY616 )
| ~ ( aNaturalNumber0 @ SY617 )
| ~ ( isPrime0 @ SY617 )
| ~ ( doDivides0 @ SY617 @ ( sdtasdt0 @ SV502 @ SY616 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY616 ) @ SY617 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY617 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( ( SY616
!= ( sdtasdt0 @ SY617 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) ) )
| ~ ! [SY618: $i,SY619: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY618 )
| ~ ( aNaturalNumber0 @ SY619 )
| ~ ( isPrime0 @ SY619 )
| ~ ( doDivides0 @ SY619 @ ( sdtasdt0 @ SV502 @ SY618 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY618 ) @ SY619 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY619 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ( doDivides0 @ SY619 @ SY618 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6438]) ).
thf(6490,plain,
! [SV502: $i] :
( ( ~ ~ ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY620 )
| ~ ( aNaturalNumber0 @ SY621 )
| ~ ( isPrime0 @ SY621 )
| ~ ( doDivides0 @ SY621 @ ( sdtasdt0 @ SV502 @ SY620 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY620 ) @ SY621 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY621 @ SV502 )
| ~ ( ( SY620
!= ( sdtasdt0 @ SY621 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) ) )
| ~ ! [SY622: $i,SY623: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY622 )
| ~ ( aNaturalNumber0 @ SY623 )
| ~ ( isPrime0 @ SY623 )
| ~ ( doDivides0 @ SY623 @ ( sdtasdt0 @ SV502 @ SY622 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY622 ) @ SY623 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY623 @ SV502 )
| ( doDivides0 @ SY623 @ SY622 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6438]) ).
thf(6491,plain,
! [SV503: $i,SV562: $i,SV559: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV559 )
| ~ ( aNaturalNumber0 @ SV562 )
| ( ( sdtasdt0 @ SV503 @ SV559 )
!= ( sdtasdt0 @ SV503 @ SV562 ) )
| ( SV559 = SV562 ) )
= $true )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6439]) ).
thf(6492,plain,
! [SV503: $i,SV563: $i,SV560: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV560 )
| ~ ( aNaturalNumber0 @ SV563 )
| ( ( sdtasdt0 @ SV560 @ SV503 )
!= ( sdtasdt0 @ SV563 @ SV503 ) )
| ( SV560 = SV563 ) )
= $true )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6440]) ).
thf(6493,plain,
( ( ( xm != xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6441]) ).
thf(6494,plain,
( ( ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6442]) ).
thf(6495,plain,
( ( ( sdtpldt0 @ xm @ sK6_W0 )
= xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6443]) ).
thf(6496,plain,
( ( aNaturalNumber0 @ sK6_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6444]) ).
thf(6497,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6445]) ).
thf(6498,plain,
( ( isPrime0 @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6446]) ).
thf(6499,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ sK8_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6447]) ).
thf(6500,plain,
( ( aNaturalNumber0 @ sK8_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6448]) ).
thf(6501,plain,
! [SV488: $i,SV511: $i] :
( ( ( sdtlseqdt0 @ SV511 @ SV488 )
= $false )
| ( ( sdtlseqdt0 @ SV488 @ SV511 )
= $false )
| ( ( SV488 = SV511 )
= $true )
| ( ( aNaturalNumber0 @ SV488 )
= $false )
| ( ( aNaturalNumber0 @ SV511 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6452]) ).
thf(6502,plain,
! [SV523: $i,SV512: $i,SV489: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV489 @ SV512 )
| ~ ( sdtlseqdt0 @ SV512 @ SV523 ) )
= $true )
| ( ( sdtlseqdt0 @ SV489 @ SV523 )
= $true )
| ( ( aNaturalNumber0 @ SV512 )
= $false )
| ( ( aNaturalNumber0 @ SV489 )
= $false )
| ( ( aNaturalNumber0 @ SV523 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6453]) ).
thf(6503,plain,
! [SV525: $i,SV515: $i,SV492: $i] :
( ( ( ~ ( doDivides0 @ SV492 @ SV515 )
| ~ ( doDivides0 @ SV515 @ SV525 ) )
= $true )
| ( ( doDivides0 @ SV492 @ SV525 )
= $true )
| ( ( aNaturalNumber0 @ SV515 )
= $false )
| ( ( aNaturalNumber0 @ SV492 )
= $false )
| ( ( aNaturalNumber0 @ SV525 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6455]) ).
thf(6504,plain,
! [SV526: $i,SV516: $i,SV493: $i] :
( ( ( ~ ( doDivides0 @ SV493 @ SV516 )
| ~ ( doDivides0 @ SV493 @ SV526 ) )
= $true )
| ( ( doDivides0 @ SV493 @ ( sdtpldt0 @ SV516 @ SV526 ) )
= $true )
| ( ( aNaturalNumber0 @ SV516 )
= $false )
| ( ( aNaturalNumber0 @ SV493 )
= $false )
| ( ( aNaturalNumber0 @ SV526 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6456]) ).
thf(6505,plain,
! [SV527: $i,SV517: $i,SV494: $i] :
( ( ( ~ ( doDivides0 @ SV494 @ SV517 )
| ~ ( doDivides0 @ SV494 @ ( sdtpldt0 @ SV517 @ SV527 ) ) )
= $true )
| ( ( doDivides0 @ SV494 @ SV527 )
= $true )
| ( ( aNaturalNumber0 @ SV517 )
= $false )
| ( ( aNaturalNumber0 @ SV494 )
= $false )
| ( ( aNaturalNumber0 @ SV527 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6457]) ).
thf(6506,plain,
! [SV496: $i,SV519: $i,SV564: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV564 )
| ( ( sdtasdt0 @ SV564 @ ( sdtsldt0 @ SV519 @ SV496 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SV564 @ SV519 ) @ SV496 ) ) )
= $true )
| ( ( SV496 = sz00 )
= $true )
| ( ( doDivides0 @ SV496 @ SV519 )
= $false )
| ( ( aNaturalNumber0 @ SV496 )
= $false )
| ( ( aNaturalNumber0 @ SV519 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6459]) ).
thf(6507,plain,
! [SV553: $i,SV544: $i,SV497: $i] :
( ( ( aNaturalNumber0 @ SV497 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV544 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV553 ) )
= $true )
| ( ( ( sdtasdt0 @ SV497 @ ( sdtpldt0 @ SV544 @ SV553 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV497 @ SV544 ) @ ( sdtasdt0 @ SV497 @ SV553 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6460]) ).
thf(6508,plain,
! [SV554: $i,SV545: $i,SV497: $i] :
( ( ( aNaturalNumber0 @ SV497 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV545 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV554 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV545 @ SV554 ) @ SV497 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV545 @ SV497 ) @ ( sdtasdt0 @ SV554 @ SV497 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6461]) ).
thf(6509,plain,
! [SV528: $i,SV546: $i] :
( ( ( ( SV546 != SV528 ) )
= $true )
| ( ( sdtlseqdt0 @ SV528 @ SV546 )
= $true )
| ( ( aNaturalNumber0 @ SV528 )
= $false )
| ( ( aNaturalNumber0 @ SV546 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6462]) ).
thf(6510,plain,
! [SV529: $i,SV547: $i] :
( ( ( sdtlseqdt0 @ SV547 @ SV529 )
= $true )
| ( ( sdtlseqdt0 @ SV529 @ SV547 )
= $true )
| ( ( aNaturalNumber0 @ SV529 )
= $false )
| ( ( aNaturalNumber0 @ SV547 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6463]) ).
thf(6511,plain,
! [SV520: $i,SV498: $i] :
( ( ( ~ ~ ( ~ ! [SY635: $i] :
( ~ ( aNaturalNumber0 @ SY635 )
| ( ( sdtpldt0 @ SV498 @ SY635 )
!= ( sdtpldt0 @ SV520 @ SY635 ) ) )
| ~ ~ ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) )
| ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) ) )
| ~ ! [SY638: $i] :
( ~ ( aNaturalNumber0 @ SY638 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV498 @ SY638 ) @ ( sdtpldt0 @ SV520 @ SY638 ) ) ) )
= $false )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6464]) ).
thf(6512,plain,
! [SV561: $i,SV558: $i,SV499: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV558 )
| ~ ( aNaturalNumber0 @ SV561 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV558 = SV561 )
| ~ ( sdtlseqdt0 @ SV558 @ SV561 )
| ( ( sdtasdt0 @ SV558 @ SV499 )
!= ( sdtasdt0 @ SV561 @ SV499 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6465]) ).
thf(6513,plain,
! [SV499: $i] :
( ( ! [SY574: $i,SY575: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY574 )
| ~ ( aNaturalNumber0 @ SY575 )
| ( SV499 = sz00 )
| ( SY574 = SY575 )
| ~ ( sdtlseqdt0 @ SY574 @ SY575 )
| ( ( sdtasdt0 @ SV499 @ SY574 )
!= ( sdtasdt0 @ SV499 @ SY575 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6466]) ).
thf(6514,plain,
! [SV499: $i] :
( ( ! [SY576: $i,SY577: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SY576 )
| ~ ( aNaturalNumber0 @ SY577 )
| ( SV499 = sz00 )
| ( SY576 = SY577 )
| ~ ( sdtlseqdt0 @ SY576 @ SY577 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SY576 ) @ ( sdtasdt0 @ SV499 @ SY577 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6467]) ).
thf(6515,plain,
! [SV555: $i,SV548: $i,SV499: $i] :
( ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV548 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV555 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV548 = SV555 )
| ~ ( sdtlseqdt0 @ SV548 @ SV555 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV548 @ SV499 ) @ ( sdtasdt0 @ SV555 @ SV499 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6468]) ).
thf(6516,plain,
! [SV500: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV500 ) ) )
= $false )
| ( ( SV500 = sz10 )
= $true )
| ( ( SV500 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV500 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6469]) ).
thf(6517,plain,
! [SV500: $i] :
( ( ( ~ ( doDivides0 @ ( sK1_W1 @ SV500 ) @ SV500 ) )
= $false )
| ( ( SV500 = sz10 )
= $true )
| ( ( SV500 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV500 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6469]) ).
thf(6518,plain,
! [SV549: $i,SV531: $i] :
( ( ( ( ( sdtpldt0 @ SV531 @ SV549 )
!= sz00 ) )
= $true )
| ( ( SV531 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV531 )
= $false )
| ( ( aNaturalNumber0 @ SV549 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6470]) ).
thf(6519,plain,
! [SV550: $i,SV532: $i] :
( ( ( ( ( sdtpldt0 @ SV532 @ SV550 )
!= sz00 ) )
= $true )
| ( ( SV550 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV532 )
= $false )
| ( ( aNaturalNumber0 @ SV550 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6471]) ).
thf(6520,plain,
! [SV565: $i] :
( ( ~ ( aNaturalNumber0 @ SV565 )
| ! [SY651: $i] :
( ( xr
!= ( sdtasdt0 @ SV565 @ SY651 ) )
| ~ ( aNaturalNumber0 @ SY651 ) )
| ( SV565 = sz10 )
| ( SV565 = xr ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6472]) ).
thf(6521,plain,
! [SV566: $i] :
( ( ~ ( aNaturalNumber0 @ SV566 )
| ~ ( doDivides0 @ SV566 @ xr )
| ( SV566 = sz10 )
| ( SV566 = xr ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6473]) ).
thf(6522,plain,
( ( xr = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6474]) ).
thf(6523,plain,
( ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6475]) ).
thf(6524,plain,
! [SV556: $i,SV551: $i,SV501: $i] :
( ( ( aNaturalNumber0 @ SV501 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV551 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV556 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV501 @ SV551 )
!= ( sdtpldt0 @ SV501 @ SV556 ) )
| ( SV551 = SV556 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6480]) ).
thf(6525,plain,
! [SV557: $i,SV552: $i,SV501: $i] :
( ( ( aNaturalNumber0 @ SV501 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV552 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV557 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV552 @ SV501 )
!= ( sdtpldt0 @ SV557 @ SV501 ) )
| ( SV552 = SV557 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6481]) ).
thf(6526,plain,
! [SV502: $i] :
( ( ~ ( ~ ! [SY584: $i,SY585: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY584 )
| ~ ( aNaturalNumber0 @ SY585 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY585
!= ( sdtasdt0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ SY585 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= SY585 ) ) ) )
| ( SY585 = sz00 )
| ( SY585 = sz10 )
| ! [SY586: $i] :
( ( ( sdtasdt0 @ SV502 @ SY584 )
!= ( sdtasdt0 @ SY585 @ SY586 ) )
| ~ ( aNaturalNumber0 @ SY586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY584 ) @ SY585 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY585 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( ( SY584
!= ( sdtasdt0 @ SY585 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) ) )
| ~ ! [SY587: $i,SY588: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY587 )
| ~ ( aNaturalNumber0 @ SY588 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY588
!= ( sdtasdt0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ SY588 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= SY588 ) ) ) )
| ( SY588 = sz00 )
| ( SY588 = sz10 )
| ! [SY589: $i] :
( ( ( sdtasdt0 @ SV502 @ SY587 )
!= ( sdtasdt0 @ SY588 @ SY589 ) )
| ~ ( aNaturalNumber0 @ SY589 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY587 ) @ SY588 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY588 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ( doDivides0 @ SY588 @ SY587 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6483]) ).
thf(6527,plain,
! [SV502: $i] :
( ( ~ ( ~ ! [SY590: $i,SY591: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY590 )
| ~ ( aNaturalNumber0 @ SY591 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY591
!= ( sdtasdt0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ SY591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= SY591 ) ) ) )
| ( SY591 = sz00 )
| ( SY591 = sz10 )
| ! [SY592: $i] :
( ( ( sdtasdt0 @ SV502 @ SY590 )
!= ( sdtasdt0 @ SY591 @ SY592 ) )
| ~ ( aNaturalNumber0 @ SY592 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY590 ) @ SY591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY591 @ SV502 )
| ~ ( ( SY590
!= ( sdtasdt0 @ SY591 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) ) )
| ~ ! [SY593: $i,SY594: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY593 )
| ~ ( aNaturalNumber0 @ SY594 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY594
!= ( sdtasdt0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ SY594 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= SY594 ) ) ) )
| ( SY594 = sz00 )
| ( SY594 = sz10 )
| ! [SY595: $i] :
( ( ( sdtasdt0 @ SV502 @ SY593 )
!= ( sdtasdt0 @ SY594 @ SY595 ) )
| ~ ( aNaturalNumber0 @ SY595 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY593 ) @ SY594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY594 @ SV502 )
| ( doDivides0 @ SY594 @ SY593 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6484]) ).
thf(6528,plain,
! [SV502: $i] :
( ( ~ ( ~ ! [SY596: $i,SY597: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY596 )
| ~ ( aNaturalNumber0 @ SY597 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY597
!= ( sdtasdt0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ SY597 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= SY597 ) ) ) )
| ( SY597 = sz00 )
| ( SY597 = sz10 )
| ~ ( doDivides0 @ SY597 @ ( sdtasdt0 @ SV502 @ SY596 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY596 ) @ SY597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY597 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( ( SY596
!= ( sdtasdt0 @ SY597 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) ) )
| ~ ! [SY598: $i,SY599: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY598 )
| ~ ( aNaturalNumber0 @ SY599 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY599
!= ( sdtasdt0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ SY599 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= SY599 ) ) ) )
| ( SY599 = sz00 )
| ( SY599 = sz10 )
| ~ ( doDivides0 @ SY599 @ ( sdtasdt0 @ SV502 @ SY598 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY598 ) @ SY599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY599 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ( doDivides0 @ SY599 @ SY598 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6485]) ).
thf(6529,plain,
! [SV502: $i] :
( ( ~ ( ~ ! [SY600: $i,SY601: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY600 )
| ~ ( aNaturalNumber0 @ SY601 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY601
!= ( sdtasdt0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ SY601 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= SY601 ) ) ) )
| ( SY601 = sz00 )
| ( SY601 = sz10 )
| ~ ( doDivides0 @ SY601 @ ( sdtasdt0 @ SV502 @ SY600 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY600 ) @ SY601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY601 @ SV502 )
| ~ ( ( SY600
!= ( sdtasdt0 @ SY601 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) ) )
| ~ ! [SY602: $i,SY603: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY602 )
| ~ ( aNaturalNumber0 @ SY603 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY603
!= ( sdtasdt0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ SY603 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= SY603 ) ) ) )
| ( SY603 = sz00 )
| ( SY603 = sz10 )
| ~ ( doDivides0 @ SY603 @ ( sdtasdt0 @ SV502 @ SY602 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY602 ) @ SY603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY603 @ SV502 )
| ( doDivides0 @ SY603 @ SY602 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6486]) ).
thf(6530,plain,
! [SV502: $i] :
( ( ~ ( ~ ! [SY604: $i,SY605: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY604 )
| ~ ( aNaturalNumber0 @ SY605 )
| ~ ( isPrime0 @ SY605 )
| ! [SY606: $i] :
( ( ( sdtasdt0 @ SV502 @ SY604 )
!= ( sdtasdt0 @ SY605 @ SY606 ) )
| ~ ( aNaturalNumber0 @ SY606 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY604 ) @ SY605 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY605 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( ( SY604
!= ( sdtasdt0 @ SY605 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) ) )
| ~ ! [SY607: $i,SY608: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY607 )
| ~ ( aNaturalNumber0 @ SY608 )
| ~ ( isPrime0 @ SY608 )
| ! [SY609: $i] :
( ( ( sdtasdt0 @ SV502 @ SY607 )
!= ( sdtasdt0 @ SY608 @ SY609 ) )
| ~ ( aNaturalNumber0 @ SY609 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY607 ) @ SY608 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY608 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ( doDivides0 @ SY608 @ SY607 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6487]) ).
thf(6531,plain,
! [SV502: $i] :
( ( ~ ( ~ ! [SY610: $i,SY611: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY610 )
| ~ ( aNaturalNumber0 @ SY611 )
| ~ ( isPrime0 @ SY611 )
| ! [SY612: $i] :
( ( ( sdtasdt0 @ SV502 @ SY610 )
!= ( sdtasdt0 @ SY611 @ SY612 ) )
| ~ ( aNaturalNumber0 @ SY612 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY610 ) @ SY611 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY611 @ SV502 )
| ~ ( ( SY610
!= ( sdtasdt0 @ SY611 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) ) )
| ~ ! [SY613: $i,SY614: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY613 )
| ~ ( aNaturalNumber0 @ SY614 )
| ~ ( isPrime0 @ SY614 )
| ! [SY615: $i] :
( ( ( sdtasdt0 @ SV502 @ SY613 )
!= ( sdtasdt0 @ SY614 @ SY615 ) )
| ~ ( aNaturalNumber0 @ SY615 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY613 ) @ SY614 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY614 @ SV502 )
| ( doDivides0 @ SY614 @ SY613 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6488]) ).
thf(6532,plain,
! [SV502: $i] :
( ( ~ ( ~ ! [SY616: $i,SY617: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY616 )
| ~ ( aNaturalNumber0 @ SY617 )
| ~ ( isPrime0 @ SY617 )
| ~ ( doDivides0 @ SY617 @ ( sdtasdt0 @ SV502 @ SY616 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY616 ) @ SY617 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY617 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( ( SY616
!= ( sdtasdt0 @ SY617 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) ) )
| ~ ! [SY618: $i,SY619: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY618 )
| ~ ( aNaturalNumber0 @ SY619 )
| ~ ( isPrime0 @ SY619 )
| ~ ( doDivides0 @ SY619 @ ( sdtasdt0 @ SV502 @ SY618 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY618 ) @ SY619 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY619 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ( doDivides0 @ SY619 @ SY618 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6489]) ).
thf(6533,plain,
! [SV502: $i] :
( ( ~ ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY620 )
| ~ ( aNaturalNumber0 @ SY621 )
| ~ ( isPrime0 @ SY621 )
| ~ ( doDivides0 @ SY621 @ ( sdtasdt0 @ SV502 @ SY620 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY620 ) @ SY621 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY621 @ SV502 )
| ~ ( ( SY620
!= ( sdtasdt0 @ SY621 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) ) )
| ~ ! [SY622: $i,SY623: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY622 )
| ~ ( aNaturalNumber0 @ SY623 )
| ~ ( isPrime0 @ SY623 )
| ~ ( doDivides0 @ SY623 @ ( sdtasdt0 @ SV502 @ SY622 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY622 ) @ SY623 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY623 @ SV502 )
| ( doDivides0 @ SY623 @ SY622 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6490]) ).
thf(6534,plain,
! [SV503: $i,SV562: $i,SV559: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV559 )
| ~ ( aNaturalNumber0 @ SV562 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV503 @ SV559 )
!= ( sdtasdt0 @ SV503 @ SV562 ) )
| ( SV559 = SV562 ) )
= $true )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6491]) ).
thf(6535,plain,
! [SV503: $i,SV563: $i,SV560: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV560 )
| ~ ( aNaturalNumber0 @ SV563 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV560 @ SV503 )
!= ( sdtasdt0 @ SV563 @ SV503 ) )
| ( SV560 = SV563 ) )
= $true )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6492]) ).
thf(6536,plain,
( ( xm = xp )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6493]) ).
thf(6537,plain,
( ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6494]) ).
thf(6538,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
| ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6497]) ).
thf(6539,plain,
! [SV523: $i,SV512: $i,SV489: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV489 @ SV512 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV512 @ SV523 ) )
= $true )
| ( ( sdtlseqdt0 @ SV489 @ SV523 )
= $true )
| ( ( aNaturalNumber0 @ SV512 )
= $false )
| ( ( aNaturalNumber0 @ SV489 )
= $false )
| ( ( aNaturalNumber0 @ SV523 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6502]) ).
thf(6540,plain,
! [SV525: $i,SV515: $i,SV492: $i] :
( ( ( ~ ( doDivides0 @ SV492 @ SV515 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV515 @ SV525 ) )
= $true )
| ( ( doDivides0 @ SV492 @ SV525 )
= $true )
| ( ( aNaturalNumber0 @ SV515 )
= $false )
| ( ( aNaturalNumber0 @ SV492 )
= $false )
| ( ( aNaturalNumber0 @ SV525 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6503]) ).
thf(6541,plain,
! [SV526: $i,SV516: $i,SV493: $i] :
( ( ( ~ ( doDivides0 @ SV493 @ SV516 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV493 @ SV526 ) )
= $true )
| ( ( doDivides0 @ SV493 @ ( sdtpldt0 @ SV516 @ SV526 ) )
= $true )
| ( ( aNaturalNumber0 @ SV516 )
= $false )
| ( ( aNaturalNumber0 @ SV493 )
= $false )
| ( ( aNaturalNumber0 @ SV526 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6504]) ).
thf(6542,plain,
! [SV527: $i,SV517: $i,SV494: $i] :
( ( ( ~ ( doDivides0 @ SV494 @ SV517 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV494 @ ( sdtpldt0 @ SV517 @ SV527 ) ) )
= $true )
| ( ( doDivides0 @ SV494 @ SV527 )
= $true )
| ( ( aNaturalNumber0 @ SV517 )
= $false )
| ( ( aNaturalNumber0 @ SV494 )
= $false )
| ( ( aNaturalNumber0 @ SV527 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6505]) ).
thf(6543,plain,
! [SV496: $i,SV519: $i,SV564: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV564 ) )
= $true )
| ( ( ( sdtasdt0 @ SV564 @ ( sdtsldt0 @ SV519 @ SV496 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SV564 @ SV519 ) @ SV496 ) )
= $true )
| ( ( SV496 = sz00 )
= $true )
| ( ( doDivides0 @ SV496 @ SV519 )
= $false )
| ( ( aNaturalNumber0 @ SV496 )
= $false )
| ( ( aNaturalNumber0 @ SV519 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6506]) ).
thf(6544,plain,
! [SV553: $i,SV497: $i,SV544: $i] :
( ( ( aNaturalNumber0 @ SV544 )
= $false )
| ( ( aNaturalNumber0 @ SV497 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV553 ) )
= $true )
| ( ( ( sdtasdt0 @ SV497 @ ( sdtpldt0 @ SV544 @ SV553 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV497 @ SV544 ) @ ( sdtasdt0 @ SV497 @ SV553 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6507]) ).
thf(6545,plain,
! [SV554: $i,SV497: $i,SV545: $i] :
( ( ( aNaturalNumber0 @ SV545 )
= $false )
| ( ( aNaturalNumber0 @ SV497 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV554 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV545 @ SV554 ) @ SV497 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV545 @ SV497 ) @ ( sdtasdt0 @ SV554 @ SV497 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6508]) ).
thf(6546,plain,
! [SV528: $i,SV546: $i] :
( ( ( SV546 = SV528 )
= $false )
| ( ( sdtlseqdt0 @ SV528 @ SV546 )
= $true )
| ( ( aNaturalNumber0 @ SV528 )
= $false )
| ( ( aNaturalNumber0 @ SV546 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6509]) ).
thf(6547,plain,
! [SV520: $i,SV498: $i] :
( ( ( ~ ~ ( ~ ! [SY635: $i] :
( ~ ( aNaturalNumber0 @ SY635 )
| ( ( sdtpldt0 @ SV498 @ SY635 )
!= ( sdtpldt0 @ SV520 @ SY635 ) ) )
| ~ ~ ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) )
| ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) ) ) )
= $false )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6511]) ).
thf(6548,plain,
! [SV520: $i,SV498: $i] :
( ( ( ~ ! [SY638: $i] :
( ~ ( aNaturalNumber0 @ SY638 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV498 @ SY638 ) @ ( sdtpldt0 @ SV520 @ SY638 ) ) ) )
= $false )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6511]) ).
thf(6549,plain,
! [SV561: $i,SV558: $i,SV499: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV558 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV561 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV558 = SV561 )
| ~ ( sdtlseqdt0 @ SV558 @ SV561 )
| ( ( sdtasdt0 @ SV558 @ SV499 )
!= ( sdtasdt0 @ SV561 @ SV499 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6512]) ).
thf(6550,plain,
! [SV567: $i,SV499: $i] :
( ( ! [SY652: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV567 )
| ~ ( aNaturalNumber0 @ SY652 )
| ( SV499 = sz00 )
| ( SV567 = SY652 )
| ~ ( sdtlseqdt0 @ SV567 @ SY652 )
| ( ( sdtasdt0 @ SV499 @ SV567 )
!= ( sdtasdt0 @ SV499 @ SY652 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6513]) ).
thf(6551,plain,
! [SV568: $i,SV499: $i] :
( ( ! [SY653: $i] :
( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV568 )
| ~ ( aNaturalNumber0 @ SY653 )
| ( SV499 = sz00 )
| ( SV568 = SY653 )
| ~ ( sdtlseqdt0 @ SV568 @ SY653 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SV568 ) @ ( sdtasdt0 @ SV499 @ SY653 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6514]) ).
thf(6552,plain,
! [SV555: $i,SV499: $i,SV548: $i] :
( ( ( aNaturalNumber0 @ SV548 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV555 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV548 = SV555 )
| ~ ( sdtlseqdt0 @ SV548 @ SV555 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV548 @ SV499 ) @ ( sdtasdt0 @ SV555 @ SV499 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6515]) ).
thf(6553,plain,
! [SV500: $i] :
( ( ( aNaturalNumber0 @ ( sK1_W1 @ SV500 ) )
= $true )
| ( ( SV500 = sz10 )
= $true )
| ( ( SV500 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV500 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6516]) ).
thf(6554,plain,
! [SV500: $i] :
( ( ( doDivides0 @ ( sK1_W1 @ SV500 ) @ SV500 )
= $true )
| ( ( SV500 = sz10 )
= $true )
| ( ( SV500 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV500 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6517]) ).
thf(6555,plain,
! [SV549: $i,SV531: $i] :
( ( ( ( sdtpldt0 @ SV531 @ SV549 )
= sz00 )
= $false )
| ( ( SV531 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV531 )
= $false )
| ( ( aNaturalNumber0 @ SV549 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6518]) ).
thf(6556,plain,
! [SV550: $i,SV532: $i] :
( ( ( ( sdtpldt0 @ SV532 @ SV550 )
= sz00 )
= $false )
| ( ( SV550 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV532 )
= $false )
| ( ( aNaturalNumber0 @ SV550 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6519]) ).
thf(6557,plain,
! [SV565: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV565 )
| ! [SY651: $i] :
( ( xr
!= ( sdtasdt0 @ SV565 @ SY651 ) )
| ~ ( aNaturalNumber0 @ SY651 ) ) )
= $true )
| ( ( ( SV565 = sz10 )
| ( SV565 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6520]) ).
thf(6558,plain,
! [SV566: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV566 )
| ~ ( doDivides0 @ SV566 @ xr ) )
= $true )
| ( ( ( SV566 = sz10 )
| ( SV566 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6521]) ).
thf(6559,plain,
( ( ~ ( ( xr != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6523]) ).
thf(6560,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6523]) ).
thf(6561,plain,
! [SV556: $i,SV501: $i,SV551: $i] :
( ( ( aNaturalNumber0 @ SV551 )
= $false )
| ( ( aNaturalNumber0 @ SV501 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV556 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV501 @ SV551 )
!= ( sdtpldt0 @ SV501 @ SV556 ) )
| ( SV551 = SV556 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6524]) ).
thf(6562,plain,
! [SV557: $i,SV501: $i,SV552: $i] :
( ( ( aNaturalNumber0 @ SV552 )
= $false )
| ( ( aNaturalNumber0 @ SV501 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV557 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV552 @ SV501 )
!= ( sdtpldt0 @ SV557 @ SV501 ) )
| ( SV552 = SV557 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6525]) ).
thf(6563,plain,
! [SV502: $i] :
( ( ~ ! [SY584: $i,SY585: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY584 )
| ~ ( aNaturalNumber0 @ SY585 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY585
!= ( sdtasdt0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ SY585 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= SY585 ) ) ) )
| ( SY585 = sz00 )
| ( SY585 = sz10 )
| ! [SY586: $i] :
( ( ( sdtasdt0 @ SV502 @ SY584 )
!= ( sdtasdt0 @ SY585 @ SY586 ) )
| ~ ( aNaturalNumber0 @ SY586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY584 ) @ SY585 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY585 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( ( SY584
!= ( sdtasdt0 @ SY585 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) ) )
| ~ ! [SY587: $i,SY588: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY587 )
| ~ ( aNaturalNumber0 @ SY588 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY588
!= ( sdtasdt0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ SY588 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= SY588 ) ) ) )
| ( SY588 = sz00 )
| ( SY588 = sz10 )
| ! [SY589: $i] :
( ( ( sdtasdt0 @ SV502 @ SY587 )
!= ( sdtasdt0 @ SY588 @ SY589 ) )
| ~ ( aNaturalNumber0 @ SY589 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY587 ) @ SY588 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY588 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ( doDivides0 @ SY588 @ SY587 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6526]) ).
thf(6564,plain,
! [SV502: $i] :
( ( ~ ! [SY590: $i,SY591: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY590 )
| ~ ( aNaturalNumber0 @ SY591 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY591
!= ( sdtasdt0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ SY591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= SY591 ) ) ) )
| ( SY591 = sz00 )
| ( SY591 = sz10 )
| ! [SY592: $i] :
( ( ( sdtasdt0 @ SV502 @ SY590 )
!= ( sdtasdt0 @ SY591 @ SY592 ) )
| ~ ( aNaturalNumber0 @ SY592 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY590 ) @ SY591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY591 @ SV502 )
| ~ ( ( SY590
!= ( sdtasdt0 @ SY591 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) ) )
| ~ ! [SY593: $i,SY594: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY593 )
| ~ ( aNaturalNumber0 @ SY594 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY594
!= ( sdtasdt0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ SY594 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= SY594 ) ) ) )
| ( SY594 = sz00 )
| ( SY594 = sz10 )
| ! [SY595: $i] :
( ( ( sdtasdt0 @ SV502 @ SY593 )
!= ( sdtasdt0 @ SY594 @ SY595 ) )
| ~ ( aNaturalNumber0 @ SY595 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY593 ) @ SY594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY594 @ SV502 )
| ( doDivides0 @ SY594 @ SY593 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6527]) ).
thf(6565,plain,
! [SV502: $i] :
( ( ~ ! [SY596: $i,SY597: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY596 )
| ~ ( aNaturalNumber0 @ SY597 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY597
!= ( sdtasdt0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ SY597 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= SY597 ) ) ) )
| ( SY597 = sz00 )
| ( SY597 = sz10 )
| ~ ( doDivides0 @ SY597 @ ( sdtasdt0 @ SV502 @ SY596 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY596 ) @ SY597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY597 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( ( SY596
!= ( sdtasdt0 @ SY597 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) ) )
| ~ ! [SY598: $i,SY599: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY598 )
| ~ ( aNaturalNumber0 @ SY599 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY599
!= ( sdtasdt0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ SY599 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= SY599 ) ) ) )
| ( SY599 = sz00 )
| ( SY599 = sz10 )
| ~ ( doDivides0 @ SY599 @ ( sdtasdt0 @ SV502 @ SY598 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY598 ) @ SY599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY599 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ( doDivides0 @ SY599 @ SY598 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6528]) ).
thf(6566,plain,
! [SV502: $i] :
( ( ~ ! [SY600: $i,SY601: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY600 )
| ~ ( aNaturalNumber0 @ SY601 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY601
!= ( sdtasdt0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ SY601 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= SY601 ) ) ) )
| ( SY601 = sz00 )
| ( SY601 = sz10 )
| ~ ( doDivides0 @ SY601 @ ( sdtasdt0 @ SV502 @ SY600 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY600 ) @ SY601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY601 @ SV502 )
| ~ ( ( SY600
!= ( sdtasdt0 @ SY601 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) ) )
| ~ ! [SY602: $i,SY603: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY602 )
| ~ ( aNaturalNumber0 @ SY603 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY603
!= ( sdtasdt0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ SY603 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= SY603 ) ) ) )
| ( SY603 = sz00 )
| ( SY603 = sz10 )
| ~ ( doDivides0 @ SY603 @ ( sdtasdt0 @ SV502 @ SY602 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY602 ) @ SY603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY603 @ SV502 )
| ( doDivides0 @ SY603 @ SY602 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6529]) ).
thf(6567,plain,
! [SV502: $i] :
( ( ~ ! [SY604: $i,SY605: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY604 )
| ~ ( aNaturalNumber0 @ SY605 )
| ~ ( isPrime0 @ SY605 )
| ! [SY606: $i] :
( ( ( sdtasdt0 @ SV502 @ SY604 )
!= ( sdtasdt0 @ SY605 @ SY606 ) )
| ~ ( aNaturalNumber0 @ SY606 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY604 ) @ SY605 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY605 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( ( SY604
!= ( sdtasdt0 @ SY605 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) ) )
| ~ ! [SY607: $i,SY608: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY607 )
| ~ ( aNaturalNumber0 @ SY608 )
| ~ ( isPrime0 @ SY608 )
| ! [SY609: $i] :
( ( ( sdtasdt0 @ SV502 @ SY607 )
!= ( sdtasdt0 @ SY608 @ SY609 ) )
| ~ ( aNaturalNumber0 @ SY609 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY607 ) @ SY608 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY608 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ( doDivides0 @ SY608 @ SY607 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6530]) ).
thf(6568,plain,
! [SV502: $i] :
( ( ~ ! [SY610: $i,SY611: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY610 )
| ~ ( aNaturalNumber0 @ SY611 )
| ~ ( isPrime0 @ SY611 )
| ! [SY612: $i] :
( ( ( sdtasdt0 @ SV502 @ SY610 )
!= ( sdtasdt0 @ SY611 @ SY612 ) )
| ~ ( aNaturalNumber0 @ SY612 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY610 ) @ SY611 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY611 @ SV502 )
| ~ ( ( SY610
!= ( sdtasdt0 @ SY611 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) ) )
| ~ ! [SY613: $i,SY614: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY613 )
| ~ ( aNaturalNumber0 @ SY614 )
| ~ ( isPrime0 @ SY614 )
| ! [SY615: $i] :
( ( ( sdtasdt0 @ SV502 @ SY613 )
!= ( sdtasdt0 @ SY614 @ SY615 ) )
| ~ ( aNaturalNumber0 @ SY615 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY613 ) @ SY614 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY614 @ SV502 )
| ( doDivides0 @ SY614 @ SY613 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6531]) ).
thf(6569,plain,
! [SV502: $i] :
( ( ~ ! [SY616: $i,SY617: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY616 )
| ~ ( aNaturalNumber0 @ SY617 )
| ~ ( isPrime0 @ SY617 )
| ~ ( doDivides0 @ SY617 @ ( sdtasdt0 @ SV502 @ SY616 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY616 ) @ SY617 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY617 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( ( SY616
!= ( sdtasdt0 @ SY617 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) ) )
| ~ ! [SY618: $i,SY619: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY618 )
| ~ ( aNaturalNumber0 @ SY619 )
| ~ ( isPrime0 @ SY619 )
| ~ ( doDivides0 @ SY619 @ ( sdtasdt0 @ SV502 @ SY618 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY618 ) @ SY619 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY619 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ( doDivides0 @ SY619 @ SY618 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6532]) ).
thf(6570,plain,
! [SV502: $i] :
( ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY620 )
| ~ ( aNaturalNumber0 @ SY621 )
| ~ ( isPrime0 @ SY621 )
| ~ ( doDivides0 @ SY621 @ ( sdtasdt0 @ SV502 @ SY620 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY620 ) @ SY621 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY621 @ SV502 )
| ~ ( ( SY620
!= ( sdtasdt0 @ SY621 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) ) )
| ~ ! [SY622: $i,SY623: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY622 )
| ~ ( aNaturalNumber0 @ SY623 )
| ~ ( isPrime0 @ SY623 )
| ~ ( doDivides0 @ SY623 @ ( sdtasdt0 @ SV502 @ SY622 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY622 ) @ SY623 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY623 @ SV502 )
| ( doDivides0 @ SY623 @ SY622 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6533]) ).
thf(6571,plain,
! [SV503: $i,SV562: $i,SV559: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV559 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV562 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV503 @ SV559 )
!= ( sdtasdt0 @ SV503 @ SV562 ) )
| ( SV559 = SV562 ) )
= $true )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6534]) ).
thf(6572,plain,
! [SV503: $i,SV563: $i,SV560: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV560 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV563 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV560 @ SV503 )
!= ( sdtasdt0 @ SV563 @ SV503 ) )
| ( SV560 = SV563 ) )
= $true )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6535]) ).
thf(6573,plain,
( ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6537]) ).
thf(6574,plain,
( ( ~ ( sdtlseqdt0 @ xn @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6537]) ).
thf(6575,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6538]) ).
thf(6576,plain,
( ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6538]) ).
thf(6577,plain,
! [SV523: $i,SV512: $i,SV489: $i] :
( ( ( sdtlseqdt0 @ SV489 @ SV512 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV512 @ SV523 ) )
= $true )
| ( ( sdtlseqdt0 @ SV489 @ SV523 )
= $true )
| ( ( aNaturalNumber0 @ SV512 )
= $false )
| ( ( aNaturalNumber0 @ SV489 )
= $false )
| ( ( aNaturalNumber0 @ SV523 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6539]) ).
thf(6578,plain,
! [SV525: $i,SV515: $i,SV492: $i] :
( ( ( doDivides0 @ SV492 @ SV515 )
= $false )
| ( ( ~ ( doDivides0 @ SV515 @ SV525 ) )
= $true )
| ( ( doDivides0 @ SV492 @ SV525 )
= $true )
| ( ( aNaturalNumber0 @ SV515 )
= $false )
| ( ( aNaturalNumber0 @ SV492 )
= $false )
| ( ( aNaturalNumber0 @ SV525 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6540]) ).
thf(6579,plain,
! [SV526: $i,SV516: $i,SV493: $i] :
( ( ( doDivides0 @ SV493 @ SV516 )
= $false )
| ( ( ~ ( doDivides0 @ SV493 @ SV526 ) )
= $true )
| ( ( doDivides0 @ SV493 @ ( sdtpldt0 @ SV516 @ SV526 ) )
= $true )
| ( ( aNaturalNumber0 @ SV516 )
= $false )
| ( ( aNaturalNumber0 @ SV493 )
= $false )
| ( ( aNaturalNumber0 @ SV526 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6541]) ).
thf(6580,plain,
! [SV527: $i,SV517: $i,SV494: $i] :
( ( ( doDivides0 @ SV494 @ SV517 )
= $false )
| ( ( ~ ( doDivides0 @ SV494 @ ( sdtpldt0 @ SV517 @ SV527 ) ) )
= $true )
| ( ( doDivides0 @ SV494 @ SV527 )
= $true )
| ( ( aNaturalNumber0 @ SV517 )
= $false )
| ( ( aNaturalNumber0 @ SV494 )
= $false )
| ( ( aNaturalNumber0 @ SV527 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6542]) ).
thf(6581,plain,
! [SV496: $i,SV519: $i,SV564: $i] :
( ( ( aNaturalNumber0 @ SV564 )
= $false )
| ( ( ( sdtasdt0 @ SV564 @ ( sdtsldt0 @ SV519 @ SV496 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SV564 @ SV519 ) @ SV496 ) )
= $true )
| ( ( SV496 = sz00 )
= $true )
| ( ( doDivides0 @ SV496 @ SV519 )
= $false )
| ( ( aNaturalNumber0 @ SV496 )
= $false )
| ( ( aNaturalNumber0 @ SV519 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6543]) ).
thf(6582,plain,
! [SV544: $i,SV497: $i,SV553: $i] :
( ( ( aNaturalNumber0 @ SV553 )
= $false )
| ( ( aNaturalNumber0 @ SV497 )
= $false )
| ( ( aNaturalNumber0 @ SV544 )
= $false )
| ( ( ( sdtasdt0 @ SV497 @ ( sdtpldt0 @ SV544 @ SV553 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV497 @ SV544 ) @ ( sdtasdt0 @ SV497 @ SV553 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6544]) ).
thf(6583,plain,
! [SV545: $i,SV497: $i,SV554: $i] :
( ( ( aNaturalNumber0 @ SV554 )
= $false )
| ( ( aNaturalNumber0 @ SV497 )
= $false )
| ( ( aNaturalNumber0 @ SV545 )
= $false )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV545 @ SV554 ) @ SV497 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV545 @ SV497 ) @ ( sdtasdt0 @ SV554 @ SV497 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6545]) ).
thf(6584,plain,
! [SV520: $i,SV498: $i] :
( ( ( ~ ( ~ ! [SY635: $i] :
( ~ ( aNaturalNumber0 @ SY635 )
| ( ( sdtpldt0 @ SV498 @ SY635 )
!= ( sdtpldt0 @ SV520 @ SY635 ) ) )
| ~ ~ ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) )
| ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) ) ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6547]) ).
thf(6585,plain,
! [SV520: $i,SV498: $i] :
( ( ( ! [SY638: $i] :
( ~ ( aNaturalNumber0 @ SY638 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV498 @ SY638 ) @ ( sdtpldt0 @ SV520 @ SY638 ) ) ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6548]) ).
thf(6586,plain,
! [SV561: $i,SV558: $i,SV499: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV499 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV558 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV561 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV558 = SV561 )
| ~ ( sdtlseqdt0 @ SV558 @ SV561 )
| ( ( sdtasdt0 @ SV558 @ SV499 )
!= ( sdtasdt0 @ SV561 @ SV499 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6549]) ).
thf(6587,plain,
! [SV569: $i,SV567: $i,SV499: $i] :
( ( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV567 )
| ~ ( aNaturalNumber0 @ SV569 )
| ( SV499 = sz00 )
| ( SV567 = SV569 )
| ~ ( sdtlseqdt0 @ SV567 @ SV569 )
| ( ( sdtasdt0 @ SV499 @ SV567 )
!= ( sdtasdt0 @ SV499 @ SV569 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6550]) ).
thf(6588,plain,
! [SV570: $i,SV568: $i,SV499: $i] :
( ( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV568 )
| ~ ( aNaturalNumber0 @ SV570 )
| ( SV499 = sz00 )
| ( SV568 = SV570 )
| ~ ( sdtlseqdt0 @ SV568 @ SV570 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SV568 ) @ ( sdtasdt0 @ SV499 @ SV570 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6551]) ).
thf(6589,plain,
! [SV548: $i,SV499: $i,SV555: $i] :
( ( ( aNaturalNumber0 @ SV555 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV548 )
= $false )
| ( ( ( SV499 = sz00 )
| ( SV548 = SV555 )
| ~ ( sdtlseqdt0 @ SV548 @ SV555 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV548 @ SV499 ) @ ( sdtasdt0 @ SV555 @ SV499 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6552]) ).
thf(6590,plain,
! [SV565: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV565 ) )
= $true )
| ( ( ! [SY651: $i] :
( ( xr
!= ( sdtasdt0 @ SV565 @ SY651 ) )
| ~ ( aNaturalNumber0 @ SY651 ) ) )
= $true )
| ( ( ( SV565 = sz10 )
| ( SV565 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6557]) ).
thf(6591,plain,
! [SV566: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV566 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV566 @ xr ) )
= $true )
| ( ( ( SV566 = sz10 )
| ( SV566 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6558]) ).
thf(6592,plain,
( ( ( xr != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6559]) ).
thf(6593,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6560]) ).
thf(6594,plain,
! [SV551: $i,SV501: $i,SV556: $i] :
( ( ( aNaturalNumber0 @ SV556 )
= $false )
| ( ( aNaturalNumber0 @ SV501 )
= $false )
| ( ( aNaturalNumber0 @ SV551 )
= $false )
| ( ( ( ( sdtpldt0 @ SV501 @ SV551 )
!= ( sdtpldt0 @ SV501 @ SV556 ) )
| ( SV551 = SV556 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6561]) ).
thf(6595,plain,
! [SV552: $i,SV501: $i,SV557: $i] :
( ( ( aNaturalNumber0 @ SV557 )
= $false )
| ( ( aNaturalNumber0 @ SV501 )
= $false )
| ( ( aNaturalNumber0 @ SV552 )
= $false )
| ( ( ( ( sdtpldt0 @ SV552 @ SV501 )
!= ( sdtpldt0 @ SV557 @ SV501 ) )
| ( SV552 = SV557 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6562]) ).
thf(6596,plain,
! [SV502: $i] :
( ( ~ ! [SY584: $i,SY585: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY584 )
| ~ ( aNaturalNumber0 @ SY585 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY585
!= ( sdtasdt0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ SY585 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= SY585 ) ) ) )
| ( SY585 = sz00 )
| ( SY585 = sz10 )
| ! [SY586: $i] :
( ( ( sdtasdt0 @ SV502 @ SY584 )
!= ( sdtasdt0 @ SY585 @ SY586 ) )
| ~ ( aNaturalNumber0 @ SY586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY584 ) @ SY585 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY585 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( ( SY584
!= ( sdtasdt0 @ SY585 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6563]) ).
thf(6597,plain,
! [SV502: $i] :
( ( ~ ! [SY587: $i,SY588: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY587 )
| ~ ( aNaturalNumber0 @ SY588 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY588
!= ( sdtasdt0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ SY588 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= SY588 ) ) ) )
| ( SY588 = sz00 )
| ( SY588 = sz10 )
| ! [SY589: $i] :
( ( ( sdtasdt0 @ SV502 @ SY587 )
!= ( sdtasdt0 @ SY588 @ SY589 ) )
| ~ ( aNaturalNumber0 @ SY589 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY587 ) @ SY588 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY588 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ( doDivides0 @ SY588 @ SY587 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6563]) ).
thf(6598,plain,
! [SV502: $i] :
( ( ~ ! [SY590: $i,SY591: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY590 )
| ~ ( aNaturalNumber0 @ SY591 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY591
!= ( sdtasdt0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ SY591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= SY591 ) ) ) )
| ( SY591 = sz00 )
| ( SY591 = sz10 )
| ! [SY592: $i] :
( ( ( sdtasdt0 @ SV502 @ SY590 )
!= ( sdtasdt0 @ SY591 @ SY592 ) )
| ~ ( aNaturalNumber0 @ SY592 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY590 ) @ SY591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY591 @ SV502 )
| ~ ( ( SY590
!= ( sdtasdt0 @ SY591 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6564]) ).
thf(6599,plain,
! [SV502: $i] :
( ( ~ ! [SY593: $i,SY594: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY593 )
| ~ ( aNaturalNumber0 @ SY594 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY594
!= ( sdtasdt0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ SY594 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= SY594 ) ) ) )
| ( SY594 = sz00 )
| ( SY594 = sz10 )
| ! [SY595: $i] :
( ( ( sdtasdt0 @ SV502 @ SY593 )
!= ( sdtasdt0 @ SY594 @ SY595 ) )
| ~ ( aNaturalNumber0 @ SY595 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY593 ) @ SY594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY594 @ SV502 )
| ( doDivides0 @ SY594 @ SY593 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6564]) ).
thf(6600,plain,
! [SV502: $i] :
( ( ~ ! [SY596: $i,SY597: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY596 )
| ~ ( aNaturalNumber0 @ SY597 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY597
!= ( sdtasdt0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ SY597 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= SY597 ) ) ) )
| ( SY597 = sz00 )
| ( SY597 = sz10 )
| ~ ( doDivides0 @ SY597 @ ( sdtasdt0 @ SV502 @ SY596 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY596 ) @ SY597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY597 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( ( SY596
!= ( sdtasdt0 @ SY597 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6565]) ).
thf(6601,plain,
! [SV502: $i] :
( ( ~ ! [SY598: $i,SY599: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY598 )
| ~ ( aNaturalNumber0 @ SY599 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY599
!= ( sdtasdt0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ SY599 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= SY599 ) ) ) )
| ( SY599 = sz00 )
| ( SY599 = sz10 )
| ~ ( doDivides0 @ SY599 @ ( sdtasdt0 @ SV502 @ SY598 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY598 ) @ SY599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY599 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ( doDivides0 @ SY599 @ SY598 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6565]) ).
thf(6602,plain,
! [SV502: $i] :
( ( ~ ! [SY600: $i,SY601: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY600 )
| ~ ( aNaturalNumber0 @ SY601 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY601
!= ( sdtasdt0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ SY601 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= SY601 ) ) ) )
| ( SY601 = sz00 )
| ( SY601 = sz10 )
| ~ ( doDivides0 @ SY601 @ ( sdtasdt0 @ SV502 @ SY600 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY600 ) @ SY601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY601 @ SV502 )
| ~ ( ( SY600
!= ( sdtasdt0 @ SY601 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6566]) ).
thf(6603,plain,
! [SV502: $i] :
( ( ~ ! [SY602: $i,SY603: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY602 )
| ~ ( aNaturalNumber0 @ SY603 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY603
!= ( sdtasdt0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ SY603 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= SY603 ) ) ) )
| ( SY603 = sz00 )
| ( SY603 = sz10 )
| ~ ( doDivides0 @ SY603 @ ( sdtasdt0 @ SV502 @ SY602 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY602 ) @ SY603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY603 @ SV502 )
| ( doDivides0 @ SY603 @ SY602 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6566]) ).
thf(6604,plain,
! [SV502: $i] :
( ( ~ ! [SY604: $i,SY605: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY604 )
| ~ ( aNaturalNumber0 @ SY605 )
| ~ ( isPrime0 @ SY605 )
| ! [SY606: $i] :
( ( ( sdtasdt0 @ SV502 @ SY604 )
!= ( sdtasdt0 @ SY605 @ SY606 ) )
| ~ ( aNaturalNumber0 @ SY606 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY604 ) @ SY605 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY605 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( ( SY604
!= ( sdtasdt0 @ SY605 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6567]) ).
thf(6605,plain,
! [SV502: $i] :
( ( ~ ! [SY607: $i,SY608: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY607 )
| ~ ( aNaturalNumber0 @ SY608 )
| ~ ( isPrime0 @ SY608 )
| ! [SY609: $i] :
( ( ( sdtasdt0 @ SV502 @ SY607 )
!= ( sdtasdt0 @ SY608 @ SY609 ) )
| ~ ( aNaturalNumber0 @ SY609 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY607 ) @ SY608 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY608 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ( doDivides0 @ SY608 @ SY607 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6567]) ).
thf(6606,plain,
! [SV502: $i] :
( ( ~ ! [SY610: $i,SY611: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY610 )
| ~ ( aNaturalNumber0 @ SY611 )
| ~ ( isPrime0 @ SY611 )
| ! [SY612: $i] :
( ( ( sdtasdt0 @ SV502 @ SY610 )
!= ( sdtasdt0 @ SY611 @ SY612 ) )
| ~ ( aNaturalNumber0 @ SY612 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY610 ) @ SY611 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY611 @ SV502 )
| ~ ( ( SY610
!= ( sdtasdt0 @ SY611 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6568]) ).
thf(6607,plain,
! [SV502: $i] :
( ( ~ ! [SY613: $i,SY614: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY613 )
| ~ ( aNaturalNumber0 @ SY614 )
| ~ ( isPrime0 @ SY614 )
| ! [SY615: $i] :
( ( ( sdtasdt0 @ SV502 @ SY613 )
!= ( sdtasdt0 @ SY614 @ SY615 ) )
| ~ ( aNaturalNumber0 @ SY615 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY613 ) @ SY614 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY614 @ SV502 )
| ( doDivides0 @ SY614 @ SY613 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6568]) ).
thf(6608,plain,
! [SV502: $i] :
( ( ~ ! [SY616: $i,SY617: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY616 )
| ~ ( aNaturalNumber0 @ SY617 )
| ~ ( isPrime0 @ SY617 )
| ~ ( doDivides0 @ SY617 @ ( sdtasdt0 @ SV502 @ SY616 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY616 ) @ SY617 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY617 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( ( SY616
!= ( sdtasdt0 @ SY617 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6569]) ).
thf(6609,plain,
! [SV502: $i] :
( ( ~ ! [SY618: $i,SY619: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY618 )
| ~ ( aNaturalNumber0 @ SY619 )
| ~ ( isPrime0 @ SY619 )
| ~ ( doDivides0 @ SY619 @ ( sdtasdt0 @ SV502 @ SY618 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY618 ) @ SY619 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY619 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ( doDivides0 @ SY619 @ SY618 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6569]) ).
thf(6610,plain,
! [SV502: $i] :
( ( ~ ! [SY620: $i,SY621: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY620 )
| ~ ( aNaturalNumber0 @ SY621 )
| ~ ( isPrime0 @ SY621 )
| ~ ( doDivides0 @ SY621 @ ( sdtasdt0 @ SV502 @ SY620 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY620 ) @ SY621 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY621 @ SV502 )
| ~ ( ( SY620
!= ( sdtasdt0 @ SY621 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6570]) ).
thf(6611,plain,
! [SV502: $i] :
( ( ~ ! [SY622: $i,SY623: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY622 )
| ~ ( aNaturalNumber0 @ SY623 )
| ~ ( isPrime0 @ SY623 )
| ~ ( doDivides0 @ SY623 @ ( sdtasdt0 @ SV502 @ SY622 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY622 ) @ SY623 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY623 @ SV502 )
| ( doDivides0 @ SY623 @ SY622 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6570]) ).
thf(6612,plain,
! [SV503: $i,SV562: $i,SV559: $i] :
( ( ( aNaturalNumber0 @ SV559 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV562 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV503 @ SV559 )
!= ( sdtasdt0 @ SV503 @ SV562 ) )
| ( SV559 = SV562 ) )
= $true )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6571]) ).
thf(6613,plain,
! [SV503: $i,SV563: $i,SV560: $i] :
( ( ( aNaturalNumber0 @ SV560 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV563 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV560 @ SV503 )
!= ( sdtasdt0 @ SV563 @ SV503 ) )
| ( SV560 = SV563 ) )
= $true )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6572]) ).
thf(6614,plain,
( ( ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6573]) ).
thf(6615,plain,
( ( sdtlseqdt0 @ xn @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6574]) ).
thf(6616,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6575]) ).
thf(6617,plain,
( ( ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6576]) ).
thf(6618,plain,
! [SV489: $i,SV523: $i,SV512: $i] :
( ( ( sdtlseqdt0 @ SV512 @ SV523 )
= $false )
| ( ( sdtlseqdt0 @ SV489 @ SV512 )
= $false )
| ( ( sdtlseqdt0 @ SV489 @ SV523 )
= $true )
| ( ( aNaturalNumber0 @ SV512 )
= $false )
| ( ( aNaturalNumber0 @ SV489 )
= $false )
| ( ( aNaturalNumber0 @ SV523 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6577]) ).
thf(6619,plain,
! [SV492: $i,SV525: $i,SV515: $i] :
( ( ( doDivides0 @ SV515 @ SV525 )
= $false )
| ( ( doDivides0 @ SV492 @ SV515 )
= $false )
| ( ( doDivides0 @ SV492 @ SV525 )
= $true )
| ( ( aNaturalNumber0 @ SV515 )
= $false )
| ( ( aNaturalNumber0 @ SV492 )
= $false )
| ( ( aNaturalNumber0 @ SV525 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6578]) ).
thf(6620,plain,
! [SV516: $i,SV526: $i,SV493: $i] :
( ( ( doDivides0 @ SV493 @ SV526 )
= $false )
| ( ( doDivides0 @ SV493 @ SV516 )
= $false )
| ( ( doDivides0 @ SV493 @ ( sdtpldt0 @ SV516 @ SV526 ) )
= $true )
| ( ( aNaturalNumber0 @ SV516 )
= $false )
| ( ( aNaturalNumber0 @ SV493 )
= $false )
| ( ( aNaturalNumber0 @ SV526 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6579]) ).
thf(6621,plain,
! [SV527: $i,SV517: $i,SV494: $i] :
( ( ( doDivides0 @ SV494 @ ( sdtpldt0 @ SV517 @ SV527 ) )
= $false )
| ( ( doDivides0 @ SV494 @ SV517 )
= $false )
| ( ( doDivides0 @ SV494 @ SV527 )
= $true )
| ( ( aNaturalNumber0 @ SV517 )
= $false )
| ( ( aNaturalNumber0 @ SV494 )
= $false )
| ( ( aNaturalNumber0 @ SV527 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6580]) ).
thf(6622,plain,
! [SV520: $i,SV498: $i] :
( ( ( ~ ! [SY635: $i] :
( ~ ( aNaturalNumber0 @ SY635 )
| ( ( sdtpldt0 @ SV498 @ SY635 )
!= ( sdtpldt0 @ SV520 @ SY635 ) ) )
| ~ ~ ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) )
| ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) ) )
= $false )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6584]) ).
thf(6623,plain,
! [SV520: $i,SV498: $i,SV571: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV571 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV498 @ SV571 ) @ ( sdtpldt0 @ SV520 @ SV571 ) ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6585]) ).
thf(6624,plain,
! [SV561: $i,SV558: $i,SV499: $i] :
( ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV558 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV561 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV558 = SV561 )
| ~ ( sdtlseqdt0 @ SV558 @ SV561 )
| ( ( sdtasdt0 @ SV558 @ SV499 )
!= ( sdtasdt0 @ SV561 @ SV499 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6586]) ).
thf(6625,plain,
! [SV569: $i,SV567: $i,SV499: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV567 )
| ~ ( aNaturalNumber0 @ SV569 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV567 = SV569 )
| ~ ( sdtlseqdt0 @ SV567 @ SV569 )
| ( ( sdtasdt0 @ SV499 @ SV567 )
!= ( sdtasdt0 @ SV499 @ SV569 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6587]) ).
thf(6626,plain,
! [SV570: $i,SV568: $i,SV499: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV568 )
| ~ ( aNaturalNumber0 @ SV570 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV568 = SV570 )
| ~ ( sdtlseqdt0 @ SV568 @ SV570 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SV568 ) @ ( sdtasdt0 @ SV499 @ SV570 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6588]) ).
thf(6627,plain,
! [SV555: $i,SV548: $i,SV499: $i] :
( ( ( ( SV499 = sz00 )
| ( SV548 = SV555 )
| ~ ( sdtlseqdt0 @ SV548 @ SV555 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV548 @ SV499 ) @ ( sdtasdt0 @ SV555 @ SV499 ) )
= $true )
| ( ( aNaturalNumber0 @ SV548 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV555 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6589]) ).
thf(6628,plain,
! [SV565: $i] :
( ( ( aNaturalNumber0 @ SV565 )
= $false )
| ( ( ! [SY651: $i] :
( ( xr
!= ( sdtasdt0 @ SV565 @ SY651 ) )
| ~ ( aNaturalNumber0 @ SY651 ) ) )
= $true )
| ( ( ( SV565 = sz10 )
| ( SV565 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6590]) ).
thf(6629,plain,
! [SV566: $i] :
( ( ( aNaturalNumber0 @ SV566 )
= $false )
| ( ( ~ ( doDivides0 @ SV566 @ xr ) )
= $true )
| ( ( ( SV566 = sz10 )
| ( SV566 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6591]) ).
thf(6630,plain,
( ( xr = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6592]) ).
thf(6631,plain,
( ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6593]) ).
thf(6632,plain,
! [SV556: $i,SV551: $i,SV501: $i] :
( ( ( ( ( sdtpldt0 @ SV501 @ SV551 )
!= ( sdtpldt0 @ SV501 @ SV556 ) ) )
= $true )
| ( ( SV551 = SV556 )
= $true )
| ( ( aNaturalNumber0 @ SV551 )
= $false )
| ( ( aNaturalNumber0 @ SV501 )
= $false )
| ( ( aNaturalNumber0 @ SV556 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6594]) ).
thf(6633,plain,
! [SV557: $i,SV501: $i,SV552: $i] :
( ( ( ( ( sdtpldt0 @ SV552 @ SV501 )
!= ( sdtpldt0 @ SV557 @ SV501 ) ) )
= $true )
| ( ( SV552 = SV557 )
= $true )
| ( ( aNaturalNumber0 @ SV552 )
= $false )
| ( ( aNaturalNumber0 @ SV501 )
= $false )
| ( ( aNaturalNumber0 @ SV557 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6595]) ).
thf(6634,plain,
! [SV502: $i] :
( ( ! [SY584: $i,SY585: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY584 )
| ~ ( aNaturalNumber0 @ SY585 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY585
!= ( sdtasdt0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY585 @ SY584 @ SV502 ) @ SY585 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY585 @ SY584 @ SV502 )
!= SY585 ) ) ) )
| ( SY585 = sz00 )
| ( SY585 = sz10 )
| ! [SY586: $i] :
( ( ( sdtasdt0 @ SV502 @ SY584 )
!= ( sdtasdt0 @ SY585 @ SY586 ) )
| ~ ( aNaturalNumber0 @ SY586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY584 ) @ SY585 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY585 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( ( SY584
!= ( sdtasdt0 @ SY585 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY585 @ SY584 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6596]) ).
thf(6635,plain,
! [SV502: $i] :
( ( ! [SY587: $i,SY588: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY587 )
| ~ ( aNaturalNumber0 @ SY588 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY588
!= ( sdtasdt0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY588 @ SY587 @ SV502 ) @ SY588 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY588 @ SY587 @ SV502 )
!= SY588 ) ) ) )
| ( SY588 = sz00 )
| ( SY588 = sz10 )
| ! [SY589: $i] :
( ( ( sdtasdt0 @ SV502 @ SY587 )
!= ( sdtasdt0 @ SY588 @ SY589 ) )
| ~ ( aNaturalNumber0 @ SY589 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY587 ) @ SY588 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY588 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY588 @ SY587 @ SV502 ) ) )
| ( doDivides0 @ SY588 @ SY587 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6597]) ).
thf(6636,plain,
! [SV502: $i] :
( ( ! [SY590: $i,SY591: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY590 )
| ~ ( aNaturalNumber0 @ SY591 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY591
!= ( sdtasdt0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY591 @ SY590 @ SV502 ) @ SY591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY591 @ SY590 @ SV502 )
!= SY591 ) ) ) )
| ( SY591 = sz00 )
| ( SY591 = sz10 )
| ! [SY592: $i] :
( ( ( sdtasdt0 @ SV502 @ SY590 )
!= ( sdtasdt0 @ SY591 @ SY592 ) )
| ~ ( aNaturalNumber0 @ SY592 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY590 ) @ SY591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY591 @ SV502 )
| ~ ( ( SY590
!= ( sdtasdt0 @ SY591 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY591 @ SY590 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6598]) ).
thf(6637,plain,
! [SV502: $i] :
( ( ! [SY593: $i,SY594: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY593 )
| ~ ( aNaturalNumber0 @ SY594 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY594
!= ( sdtasdt0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY594 @ SY593 @ SV502 ) @ SY594 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY594 @ SY593 @ SV502 )
!= SY594 ) ) ) )
| ( SY594 = sz00 )
| ( SY594 = sz10 )
| ! [SY595: $i] :
( ( ( sdtasdt0 @ SV502 @ SY593 )
!= ( sdtasdt0 @ SY594 @ SY595 ) )
| ~ ( aNaturalNumber0 @ SY595 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY593 ) @ SY594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY594 @ SV502 )
| ( doDivides0 @ SY594 @ SY593 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6599]) ).
thf(6638,plain,
! [SV502: $i] :
( ( ! [SY596: $i,SY597: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY596 )
| ~ ( aNaturalNumber0 @ SY597 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY597
!= ( sdtasdt0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY597 @ SY596 @ SV502 ) @ SY597 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY597 @ SY596 @ SV502 )
!= SY597 ) ) ) )
| ( SY597 = sz00 )
| ( SY597 = sz10 )
| ~ ( doDivides0 @ SY597 @ ( sdtasdt0 @ SV502 @ SY596 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY596 ) @ SY597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY597 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( ( SY596
!= ( sdtasdt0 @ SY597 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY597 @ SY596 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6600]) ).
thf(6639,plain,
! [SV502: $i] :
( ( ! [SY598: $i,SY599: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY598 )
| ~ ( aNaturalNumber0 @ SY599 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY599
!= ( sdtasdt0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY599 @ SY598 @ SV502 ) @ SY599 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY599 @ SY598 @ SV502 )
!= SY599 ) ) ) )
| ( SY599 = sz00 )
| ( SY599 = sz10 )
| ~ ( doDivides0 @ SY599 @ ( sdtasdt0 @ SV502 @ SY598 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY598 ) @ SY599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY599 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY599 @ SY598 @ SV502 ) ) )
| ( doDivides0 @ SY599 @ SY598 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6601]) ).
thf(6640,plain,
! [SV502: $i] :
( ( ! [SY600: $i,SY601: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY600 )
| ~ ( aNaturalNumber0 @ SY601 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY601
!= ( sdtasdt0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY601 @ SY600 @ SV502 ) @ SY601 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY601 @ SY600 @ SV502 )
!= SY601 ) ) ) )
| ( SY601 = sz00 )
| ( SY601 = sz10 )
| ~ ( doDivides0 @ SY601 @ ( sdtasdt0 @ SV502 @ SY600 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY600 ) @ SY601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY601 @ SV502 )
| ~ ( ( SY600
!= ( sdtasdt0 @ SY601 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY601 @ SY600 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6602]) ).
thf(6641,plain,
! [SV502: $i] :
( ( ! [SY602: $i,SY603: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY602 )
| ~ ( aNaturalNumber0 @ SY603 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY603
!= ( sdtasdt0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY603 @ SY602 @ SV502 ) @ SY603 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY603 @ SY602 @ SV502 )
!= SY603 ) ) ) )
| ( SY603 = sz00 )
| ( SY603 = sz10 )
| ~ ( doDivides0 @ SY603 @ ( sdtasdt0 @ SV502 @ SY602 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY602 ) @ SY603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY603 @ SV502 )
| ( doDivides0 @ SY603 @ SY602 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6603]) ).
thf(6642,plain,
! [SV502: $i] :
( ( ! [SY604: $i,SY605: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY604 )
| ~ ( aNaturalNumber0 @ SY605 )
| ~ ( isPrime0 @ SY605 )
| ! [SY606: $i] :
( ( ( sdtasdt0 @ SV502 @ SY604 )
!= ( sdtasdt0 @ SY605 @ SY606 ) )
| ~ ( aNaturalNumber0 @ SY606 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY604 ) @ SY605 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY605 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( ( SY604
!= ( sdtasdt0 @ SY605 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY605 @ SY604 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6604]) ).
thf(6643,plain,
! [SV502: $i] :
( ( ! [SY607: $i,SY608: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY607 )
| ~ ( aNaturalNumber0 @ SY608 )
| ~ ( isPrime0 @ SY608 )
| ! [SY609: $i] :
( ( ( sdtasdt0 @ SV502 @ SY607 )
!= ( sdtasdt0 @ SY608 @ SY609 ) )
| ~ ( aNaturalNumber0 @ SY609 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY607 ) @ SY608 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY608 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY608 @ SY607 @ SV502 ) ) )
| ( doDivides0 @ SY608 @ SY607 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6605]) ).
thf(6644,plain,
! [SV502: $i] :
( ( ! [SY610: $i,SY611: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY610 )
| ~ ( aNaturalNumber0 @ SY611 )
| ~ ( isPrime0 @ SY611 )
| ! [SY612: $i] :
( ( ( sdtasdt0 @ SV502 @ SY610 )
!= ( sdtasdt0 @ SY611 @ SY612 ) )
| ~ ( aNaturalNumber0 @ SY612 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY610 ) @ SY611 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY611 @ SV502 )
| ~ ( ( SY610
!= ( sdtasdt0 @ SY611 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY611 @ SY610 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6606]) ).
thf(6645,plain,
! [SV502: $i] :
( ( ! [SY613: $i,SY614: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY613 )
| ~ ( aNaturalNumber0 @ SY614 )
| ~ ( isPrime0 @ SY614 )
| ! [SY615: $i] :
( ( ( sdtasdt0 @ SV502 @ SY613 )
!= ( sdtasdt0 @ SY614 @ SY615 ) )
| ~ ( aNaturalNumber0 @ SY615 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY613 ) @ SY614 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY614 @ SV502 )
| ( doDivides0 @ SY614 @ SY613 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6607]) ).
thf(6646,plain,
! [SV502: $i] :
( ( ! [SY616: $i,SY617: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY616 )
| ~ ( aNaturalNumber0 @ SY617 )
| ~ ( isPrime0 @ SY617 )
| ~ ( doDivides0 @ SY617 @ ( sdtasdt0 @ SV502 @ SY616 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY616 ) @ SY617 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY617 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( ( SY616
!= ( sdtasdt0 @ SY617 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY617 @ SY616 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6608]) ).
thf(6647,plain,
! [SV502: $i] :
( ( ! [SY618: $i,SY619: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY618 )
| ~ ( aNaturalNumber0 @ SY619 )
| ~ ( isPrime0 @ SY619 )
| ~ ( doDivides0 @ SY619 @ ( sdtasdt0 @ SV502 @ SY618 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY618 ) @ SY619 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY619 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY619 @ SY618 @ SV502 ) ) )
| ( doDivides0 @ SY619 @ SY618 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6609]) ).
thf(6648,plain,
! [SV502: $i] :
( ( ! [SY620: $i,SY621: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY620 )
| ~ ( aNaturalNumber0 @ SY621 )
| ~ ( isPrime0 @ SY621 )
| ~ ( doDivides0 @ SY621 @ ( sdtasdt0 @ SV502 @ SY620 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY620 ) @ SY621 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY621 @ SV502 )
| ~ ( ( SY620
!= ( sdtasdt0 @ SY621 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY621 @ SY620 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6610]) ).
thf(6649,plain,
! [SV502: $i] :
( ( ! [SY622: $i,SY623: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SY622 )
| ~ ( aNaturalNumber0 @ SY623 )
| ~ ( isPrime0 @ SY623 )
| ~ ( doDivides0 @ SY623 @ ( sdtasdt0 @ SV502 @ SY622 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SY622 ) @ SY623 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY623 @ SV502 )
| ( doDivides0 @ SY623 @ SY622 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6611]) ).
thf(6650,plain,
! [SV503: $i,SV559: $i,SV562: $i] :
( ( ( aNaturalNumber0 @ SV562 )
= $false )
| ( ( aNaturalNumber0 @ SV559 )
= $false )
| ( ( ( ( sdtasdt0 @ SV503 @ SV559 )
!= ( sdtasdt0 @ SV503 @ SV562 ) )
| ( SV559 = SV562 ) )
= $true )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6612]) ).
thf(6651,plain,
! [SV503: $i,SV560: $i,SV563: $i] :
( ( ( aNaturalNumber0 @ SV563 )
= $false )
| ( ( aNaturalNumber0 @ SV560 )
= $false )
| ( ( ( ( sdtasdt0 @ SV560 @ SV503 )
!= ( sdtasdt0 @ SV563 @ SV503 ) )
| ( SV560 = SV563 ) )
= $true )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6613]) ).
thf(6652,plain,
( ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6614]) ).
thf(6653,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6616]) ).
thf(6654,plain,
( ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6617]) ).
thf(6655,plain,
! [SV520: $i,SV498: $i] :
( ( ( ~ ! [SY635: $i] :
( ~ ( aNaturalNumber0 @ SY635 )
| ( ( sdtpldt0 @ SV498 @ SY635 )
!= ( sdtpldt0 @ SV520 @ SY635 ) ) ) )
= $false )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6622]) ).
thf(6656,plain,
! [SV520: $i,SV498: $i] :
( ( ( ~ ~ ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) )
| ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) ) )
= $false )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6622]) ).
thf(6657,plain,
! [SV520: $i,SV498: $i,SV571: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV571 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV498 @ SV571 ) @ ( sdtpldt0 @ SV520 @ SV571 ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6623]) ).
thf(6658,plain,
! [SV561: $i,SV499: $i,SV558: $i] :
( ( ( aNaturalNumber0 @ SV558 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV561 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV558 = SV561 )
| ~ ( sdtlseqdt0 @ SV558 @ SV561 )
| ( ( sdtasdt0 @ SV558 @ SV499 )
!= ( sdtasdt0 @ SV561 @ SV499 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6624]) ).
thf(6659,plain,
! [SV569: $i,SV567: $i,SV499: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV567 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV569 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV567 = SV569 )
| ~ ( sdtlseqdt0 @ SV567 @ SV569 )
| ( ( sdtasdt0 @ SV499 @ SV567 )
!= ( sdtasdt0 @ SV499 @ SV569 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6625]) ).
thf(6660,plain,
! [SV570: $i,SV568: $i,SV499: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV499 )
| ~ ( aNaturalNumber0 @ SV568 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV570 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV568 = SV570 )
| ~ ( sdtlseqdt0 @ SV568 @ SV570 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SV568 ) @ ( sdtasdt0 @ SV499 @ SV570 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6626]) ).
thf(6661,plain,
! [SV555: $i,SV548: $i,SV499: $i] :
( ( ( ( SV499 = sz00 )
| ( SV548 = SV555 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV548 @ SV555 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV548 @ SV499 ) @ ( sdtasdt0 @ SV555 @ SV499 ) )
= $true )
| ( ( aNaturalNumber0 @ SV548 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV555 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6627]) ).
thf(6662,plain,
! [SV572: $i,SV565: $i] :
( ( ( ( xr
!= ( sdtasdt0 @ SV565 @ SV572 ) )
| ~ ( aNaturalNumber0 @ SV572 ) )
= $true )
| ( ( aNaturalNumber0 @ SV565 )
= $false )
| ( ( ( SV565 = sz10 )
| ( SV565 = xr ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6628]) ).
thf(6663,plain,
! [SV566: $i] :
( ( ( doDivides0 @ SV566 @ xr )
= $false )
| ( ( aNaturalNumber0 @ SV566 )
= $false )
| ( ( ( SV566 = sz10 )
| ( SV566 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6629]) ).
thf(6664,plain,
( ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6631]) ).
thf(6665,plain,
( ( ~ ( doDivides0 @ xr @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6631]) ).
thf(6666,plain,
! [SV556: $i,SV551: $i,SV501: $i] :
( ( ( ( sdtpldt0 @ SV501 @ SV551 )
= ( sdtpldt0 @ SV501 @ SV556 ) )
= $false )
| ( ( SV551 = SV556 )
= $true )
| ( ( aNaturalNumber0 @ SV551 )
= $false )
| ( ( aNaturalNumber0 @ SV501 )
= $false )
| ( ( aNaturalNumber0 @ SV556 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6632]) ).
thf(6667,plain,
! [SV557: $i,SV501: $i,SV552: $i] :
( ( ( ( sdtpldt0 @ SV552 @ SV501 )
= ( sdtpldt0 @ SV557 @ SV501 ) )
= $false )
| ( ( SV552 = SV557 )
= $true )
| ( ( aNaturalNumber0 @ SV552 )
= $false )
| ( ( aNaturalNumber0 @ SV501 )
= $false )
| ( ( aNaturalNumber0 @ SV557 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6633]) ).
thf(6668,plain,
! [SV573: $i,SV502: $i] :
( ( ! [SY654: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV573 )
| ~ ( aNaturalNumber0 @ SY654 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY654
!= ( sdtasdt0 @ ( sK39_W3 @ SY654 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SY654 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SY654 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SY654 @ SV573 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SY654 @ SV573 @ SV502 ) @ SY654 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SY654 @ SV573 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SY654 @ SV573 @ SV502 )
!= SY654 ) ) ) )
| ( SY654 = sz00 )
| ( SY654 = sz10 )
| ! [SY655: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SY654 @ SY655 ) )
| ~ ( aNaturalNumber0 @ SY655 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SY654 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY654 @ ( sK38_W3 @ SY654 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY654 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SY654 @ ( sK37_W3 @ SY654 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY654 @ SV573 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6634]) ).
thf(6669,plain,
! [SV574: $i,SV502: $i] :
( ( ! [SY656: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV574 )
| ~ ( aNaturalNumber0 @ SY656 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY656
!= ( sdtasdt0 @ ( sK35_W3 @ SY656 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SY656 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SY656 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SY656 @ SV574 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SY656 @ SV574 @ SV502 ) @ SY656 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SY656 @ SV574 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SY656 @ SV574 @ SV502 )
!= SY656 ) ) ) )
| ( SY656 = sz00 )
| ( SY656 = sz10 )
| ! [SY657: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SY656 @ SY657 ) )
| ~ ( aNaturalNumber0 @ SY657 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SY656 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY656 @ ( sK34_W3 @ SY656 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY656 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SY656 @ SV574 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6635]) ).
thf(6670,plain,
! [SV575: $i,SV502: $i] :
( ( ! [SY658: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV575 )
| ~ ( aNaturalNumber0 @ SY658 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY658
!= ( sdtasdt0 @ ( sK32_W3 @ SY658 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SY658 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SY658 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SY658 @ SV575 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SY658 @ SV575 @ SV502 ) @ SY658 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SY658 @ SV575 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SY658 @ SV575 @ SV502 )
!= SY658 ) ) ) )
| ( SY658 = sz00 )
| ( SY658 = sz10 )
| ! [SY659: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SY658 @ SY659 ) )
| ~ ( aNaturalNumber0 @ SY659 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SY658 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY658 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SY658 @ ( sK31_W3 @ SY658 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY658 @ SV575 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6636]) ).
thf(6671,plain,
! [SV576: $i,SV502: $i] :
( ( ! [SY660: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV576 )
| ~ ( aNaturalNumber0 @ SY660 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY660
!= ( sdtasdt0 @ ( sK29_W3 @ SY660 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SY660 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SY660 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SY660 @ SV576 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SY660 @ SV576 @ SV502 ) @ SY660 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SY660 @ SV576 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SY660 @ SV576 @ SV502 )
!= SY660 ) ) ) )
| ( SY660 = sz00 )
| ( SY660 = sz10 )
| ! [SY661: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SY660 @ SY661 ) )
| ~ ( aNaturalNumber0 @ SY661 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SY660 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY660 @ SV502 )
| ( doDivides0 @ SY660 @ SV576 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6637]) ).
thf(6672,plain,
! [SV577: $i,SV502: $i] :
( ( ! [SY662: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV577 )
| ~ ( aNaturalNumber0 @ SY662 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY662
!= ( sdtasdt0 @ ( sK27_W3 @ SY662 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SY662 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SY662 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SY662 @ SV577 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SY662 @ SV577 @ SV502 ) @ SY662 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SY662 @ SV577 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SY662 @ SV577 @ SV502 )
!= SY662 ) ) ) )
| ( SY662 = sz00 )
| ( SY662 = sz10 )
| ~ ( doDivides0 @ SY662 @ ( sdtasdt0 @ SV502 @ SV577 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SY662 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY662 @ ( sK26_W3 @ SY662 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY662 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SY662 @ ( sK25_W3 @ SY662 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY662 @ SV577 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6638]) ).
thf(6673,plain,
! [SV578: $i,SV502: $i] :
( ( ! [SY663: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV578 )
| ~ ( aNaturalNumber0 @ SY663 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY663
!= ( sdtasdt0 @ ( sK23_W3 @ SY663 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SY663 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SY663 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SY663 @ SV578 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SY663 @ SV578 @ SV502 ) @ SY663 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SY663 @ SV578 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SY663 @ SV578 @ SV502 )
!= SY663 ) ) ) )
| ( SY663 = sz00 )
| ( SY663 = sz10 )
| ~ ( doDivides0 @ SY663 @ ( sdtasdt0 @ SV502 @ SV578 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SY663 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY663 @ ( sK22_W3 @ SY663 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY663 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SY663 @ SV578 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6639]) ).
thf(6674,plain,
! [SV579: $i,SV502: $i] :
( ( ! [SY664: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV579 )
| ~ ( aNaturalNumber0 @ SY664 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY664
!= ( sdtasdt0 @ ( sK20_W3 @ SY664 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SY664 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SY664 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SY664 @ SV579 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SY664 @ SV579 @ SV502 ) @ SY664 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SY664 @ SV579 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SY664 @ SV579 @ SV502 )
!= SY664 ) ) ) )
| ( SY664 = sz00 )
| ( SY664 = sz10 )
| ~ ( doDivides0 @ SY664 @ ( sdtasdt0 @ SV502 @ SV579 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SY664 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY664 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SY664 @ ( sK19_W3 @ SY664 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY664 @ SV579 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6640]) ).
thf(6675,plain,
! [SV580: $i,SV502: $i] :
( ( ! [SY665: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV580 )
| ~ ( aNaturalNumber0 @ SY665 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY665
!= ( sdtasdt0 @ ( sK17_W3 @ SY665 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SY665 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SY665 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SY665 @ SV580 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SY665 @ SV580 @ SV502 ) @ SY665 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SY665 @ SV580 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SY665 @ SV580 @ SV502 )
!= SY665 ) ) ) )
| ( SY665 = sz00 )
| ( SY665 = sz10 )
| ~ ( doDivides0 @ SY665 @ ( sdtasdt0 @ SV502 @ SV580 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SY665 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY665 @ SV502 )
| ( doDivides0 @ SY665 @ SV580 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6641]) ).
thf(6676,plain,
! [SV581: $i,SV502: $i] :
( ( ! [SY666: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV581 )
| ~ ( aNaturalNumber0 @ SY666 )
| ~ ( isPrime0 @ SY666 )
| ! [SY667: $i] :
( ( ( sdtasdt0 @ SV502 @ SV581 )
!= ( sdtasdt0 @ SY666 @ SY667 ) )
| ~ ( aNaturalNumber0 @ SY667 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SY666 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY666 @ ( sK16_W3 @ SY666 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY666 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SY666 @ ( sK15_W3 @ SY666 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY666 @ SV581 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6642]) ).
thf(6677,plain,
! [SV582: $i,SV502: $i] :
( ( ! [SY668: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV582 )
| ~ ( aNaturalNumber0 @ SY668 )
| ~ ( isPrime0 @ SY668 )
| ! [SY669: $i] :
( ( ( sdtasdt0 @ SV502 @ SV582 )
!= ( sdtasdt0 @ SY668 @ SY669 ) )
| ~ ( aNaturalNumber0 @ SY669 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SY668 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY668 @ ( sK14_W3 @ SY668 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY668 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SY668 @ SV582 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6643]) ).
thf(6678,plain,
! [SV583: $i,SV502: $i] :
( ( ! [SY670: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV583 )
| ~ ( aNaturalNumber0 @ SY670 )
| ~ ( isPrime0 @ SY670 )
| ! [SY671: $i] :
( ( ( sdtasdt0 @ SV502 @ SV583 )
!= ( sdtasdt0 @ SY670 @ SY671 ) )
| ~ ( aNaturalNumber0 @ SY671 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SY670 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY670 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SY670 @ ( sK13_W3 @ SY670 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY670 @ SV583 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6644]) ).
thf(6679,plain,
! [SV584: $i,SV502: $i] :
( ( ! [SY672: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV584 )
| ~ ( aNaturalNumber0 @ SY672 )
| ~ ( isPrime0 @ SY672 )
| ! [SY673: $i] :
( ( ( sdtasdt0 @ SV502 @ SV584 )
!= ( sdtasdt0 @ SY672 @ SY673 ) )
| ~ ( aNaturalNumber0 @ SY673 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SY672 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY672 @ SV502 )
| ( doDivides0 @ SY672 @ SV584 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6645]) ).
thf(6680,plain,
! [SV585: $i,SV502: $i] :
( ( ! [SY674: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV585 )
| ~ ( aNaturalNumber0 @ SY674 )
| ~ ( isPrime0 @ SY674 )
| ~ ( doDivides0 @ SY674 @ ( sdtasdt0 @ SV502 @ SV585 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SY674 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY674 @ ( sK12_W3 @ SY674 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY674 @ SV585 @ SV502 ) ) )
| ~ ( ( SV585
!= ( sdtasdt0 @ SY674 @ ( sK11_W3 @ SY674 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY674 @ SV585 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6646]) ).
thf(6681,plain,
! [SV586: $i,SV502: $i] :
( ( ! [SY675: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV586 )
| ~ ( aNaturalNumber0 @ SY675 )
| ~ ( isPrime0 @ SY675 )
| ~ ( doDivides0 @ SY675 @ ( sdtasdt0 @ SV502 @ SV586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SY675 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SY675 @ ( sK10_W3 @ SY675 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY675 @ SV586 @ SV502 ) ) )
| ( doDivides0 @ SY675 @ SV586 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6647]) ).
thf(6682,plain,
! [SV587: $i,SV502: $i] :
( ( ! [SY676: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV587 )
| ~ ( aNaturalNumber0 @ SY676 )
| ~ ( isPrime0 @ SY676 )
| ~ ( doDivides0 @ SY676 @ ( sdtasdt0 @ SV502 @ SV587 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SY676 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY676 @ SV502 )
| ~ ( ( SV587
!= ( sdtasdt0 @ SY676 @ ( sK9_W3 @ SY676 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY676 @ SV587 @ SV502 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6648]) ).
thf(6683,plain,
! [SV588: $i,SV502: $i] :
( ( ! [SY677: $i] :
( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV588 )
| ~ ( aNaturalNumber0 @ SY677 )
| ~ ( isPrime0 @ SY677 )
| ~ ( doDivides0 @ SY677 @ ( sdtasdt0 @ SV502 @ SV588 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV588 ) @ SY677 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY677 @ SV502 )
| ( doDivides0 @ SY677 @ SV588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6649]) ).
thf(6684,plain,
! [SV562: $i,SV559: $i,SV503: $i] :
( ( ( ( ( sdtasdt0 @ SV503 @ SV559 )
!= ( sdtasdt0 @ SV503 @ SV562 ) ) )
= $true )
| ( ( SV559 = SV562 )
= $true )
| ( ( aNaturalNumber0 @ SV559 )
= $false )
| ( ( aNaturalNumber0 @ SV562 )
= $false )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6650]) ).
thf(6685,plain,
! [SV563: $i,SV503: $i,SV560: $i] :
( ( ( ( ( sdtasdt0 @ SV560 @ SV503 )
!= ( sdtasdt0 @ SV563 @ SV503 ) ) )
= $true )
| ( ( SV560 = SV563 )
= $true )
| ( ( aNaturalNumber0 @ SV560 )
= $false )
| ( ( aNaturalNumber0 @ SV563 )
= $false )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6651]) ).
thf(6686,plain,
( ( ~ ( ( xn != xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6652]) ).
thf(6687,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6652]) ).
thf(6688,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6653]) ).
thf(6689,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6653]) ).
thf(6690,plain,
( ( ~ ( ( xp != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6654]) ).
thf(6691,plain,
( ( ~ ( ( xp != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6654]) ).
thf(6692,plain,
! [SV520: $i,SV498: $i] :
( ( ( ! [SY635: $i] :
( ~ ( aNaturalNumber0 @ SY635 )
| ( ( sdtpldt0 @ SV498 @ SY635 )
!= ( sdtpldt0 @ SV520 @ SY635 ) ) ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6655]) ).
thf(6693,plain,
! [SV520: $i,SV498: $i] :
( ( ( ~ ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) )
| ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6656]) ).
thf(6694,plain,
! [SV520: $i,SV498: $i,SV571: $i] :
( ( ( aNaturalNumber0 @ SV571 )
= $false )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV498 @ SV571 ) @ ( sdtpldt0 @ SV520 @ SV571 ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6657]) ).
thf(6695,plain,
! [SV558: $i,SV499: $i,SV561: $i] :
( ( ( aNaturalNumber0 @ SV561 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV558 )
= $false )
| ( ( ( SV499 = sz00 )
| ( SV558 = SV561 )
| ~ ( sdtlseqdt0 @ SV558 @ SV561 )
| ( ( sdtasdt0 @ SV558 @ SV499 )
!= ( sdtasdt0 @ SV561 @ SV499 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6658]) ).
thf(6696,plain,
! [SV569: $i,SV567: $i,SV499: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV499 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV567 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV569 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV567 = SV569 )
| ~ ( sdtlseqdt0 @ SV567 @ SV569 )
| ( ( sdtasdt0 @ SV499 @ SV567 )
!= ( sdtasdt0 @ SV499 @ SV569 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6659]) ).
thf(6697,plain,
! [SV570: $i,SV568: $i,SV499: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV499 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV568 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV570 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV568 = SV570 )
| ~ ( sdtlseqdt0 @ SV568 @ SV570 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SV568 ) @ ( sdtasdt0 @ SV499 @ SV570 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6660]) ).
thf(6698,plain,
! [SV555: $i,SV548: $i,SV499: $i] :
( ( ( SV499 = sz00 )
= $true )
| ( ( SV548 = SV555 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV548 @ SV555 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV548 @ SV499 ) @ ( sdtasdt0 @ SV555 @ SV499 ) )
= $true )
| ( ( aNaturalNumber0 @ SV548 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV555 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6661]) ).
thf(6699,plain,
! [SV572: $i,SV565: $i] :
( ( ( ( xr
!= ( sdtasdt0 @ SV565 @ SV572 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV572 ) )
= $true )
| ( ( aNaturalNumber0 @ SV565 )
= $false )
| ( ( ( SV565 = sz10 )
| ( SV565 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6662]) ).
thf(6700,plain,
! [SV566: $i] :
( ( ( SV566 = sz10 )
= $true )
| ( ( SV566 = xr )
= $true )
| ( ( aNaturalNumber0 @ SV566 )
= $false )
| ( ( doDivides0 @ SV566 @ xr )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6663]) ).
thf(6701,plain,
( ( ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6664]) ).
thf(6702,plain,
( ( doDivides0 @ xr @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6665]) ).
thf(6703,plain,
! [SV589: $i,SV573: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV573 )
| ~ ( aNaturalNumber0 @ SV589 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) ) ) )
| ( SV589 = sz00 )
| ( SV589 = sz10 )
| ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6668]) ).
thf(6704,plain,
! [SV590: $i,SV574: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV574 )
| ~ ( aNaturalNumber0 @ SV590 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) ) ) )
| ( SV590 = sz00 )
| ( SV590 = sz10 )
| ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6669]) ).
thf(6705,plain,
! [SV591: $i,SV575: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV575 )
| ~ ( aNaturalNumber0 @ SV591 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) ) ) )
| ( SV591 = sz00 )
| ( SV591 = sz10 )
| ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6670]) ).
thf(6706,plain,
! [SV592: $i,SV576: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV576 )
| ~ ( aNaturalNumber0 @ SV592 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) ) ) )
| ( SV592 = sz00 )
| ( SV592 = sz10 )
| ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6671]) ).
thf(6707,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV577 )
| ~ ( aNaturalNumber0 @ SV593 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) ) ) )
| ( SV593 = sz00 )
| ( SV593 = sz10 )
| ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6672]) ).
thf(6708,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV578 )
| ~ ( aNaturalNumber0 @ SV594 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) ) ) )
| ( SV594 = sz00 )
| ( SV594 = sz10 )
| ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6673]) ).
thf(6709,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV579 )
| ~ ( aNaturalNumber0 @ SV595 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) ) ) )
| ( SV595 = sz00 )
| ( SV595 = sz10 )
| ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6674]) ).
thf(6710,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV580 )
| ~ ( aNaturalNumber0 @ SV596 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) ) ) )
| ( SV596 = sz00 )
| ( SV596 = sz10 )
| ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6675]) ).
thf(6711,plain,
! [SV597: $i,SV581: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV581 )
| ~ ( aNaturalNumber0 @ SV597 )
| ~ ( isPrime0 @ SV597 )
| ! [SY682: $i] :
( ( ( sdtasdt0 @ SV502 @ SV581 )
!= ( sdtasdt0 @ SV597 @ SY682 ) )
| ~ ( aNaturalNumber0 @ SY682 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6676]) ).
thf(6712,plain,
! [SV598: $i,SV582: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV582 )
| ~ ( aNaturalNumber0 @ SV598 )
| ~ ( isPrime0 @ SV598 )
| ! [SY683: $i] :
( ( ( sdtasdt0 @ SV502 @ SV582 )
!= ( sdtasdt0 @ SV598 @ SY683 ) )
| ~ ( aNaturalNumber0 @ SY683 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6677]) ).
thf(6713,plain,
! [SV599: $i,SV583: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV583 )
| ~ ( aNaturalNumber0 @ SV599 )
| ~ ( isPrime0 @ SV599 )
| ! [SY684: $i] :
( ( ( sdtasdt0 @ SV502 @ SV583 )
!= ( sdtasdt0 @ SV599 @ SY684 ) )
| ~ ( aNaturalNumber0 @ SY684 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6678]) ).
thf(6714,plain,
! [SV600: $i,SV584: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV584 )
| ~ ( aNaturalNumber0 @ SV600 )
| ~ ( isPrime0 @ SV600 )
| ! [SY685: $i] :
( ( ( sdtasdt0 @ SV502 @ SV584 )
!= ( sdtasdt0 @ SV600 @ SY685 ) )
| ~ ( aNaturalNumber0 @ SY685 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6679]) ).
thf(6715,plain,
! [SV601: $i,SV585: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV585 )
| ~ ( aNaturalNumber0 @ SV601 )
| ~ ( isPrime0 @ SV601 )
| ~ ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6680]) ).
thf(6716,plain,
! [SV602: $i,SV586: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV586 )
| ~ ( aNaturalNumber0 @ SV602 )
| ~ ( isPrime0 @ SV602 )
| ~ ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ( doDivides0 @ SV602 @ SV586 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6681]) ).
thf(6717,plain,
! [SV603: $i,SV587: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV587 )
| ~ ( aNaturalNumber0 @ SV603 )
| ~ ( isPrime0 @ SV603 )
| ~ ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV603 @ SV502 )
| ~ ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6682]) ).
thf(6718,plain,
! [SV604: $i,SV588: $i,SV502: $i] :
( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV588 )
| ~ ( aNaturalNumber0 @ SV604 )
| ~ ( isPrime0 @ SV604 )
| ~ ( doDivides0 @ SV604 @ ( sdtasdt0 @ SV502 @ SV588 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV588 ) @ SV604 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV604 @ SV502 )
| ( doDivides0 @ SV604 @ SV588 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6683]) ).
thf(6719,plain,
! [SV562: $i,SV559: $i,SV503: $i] :
( ( ( ( sdtasdt0 @ SV503 @ SV559 )
= ( sdtasdt0 @ SV503 @ SV562 ) )
= $false )
| ( ( SV559 = SV562 )
= $true )
| ( ( aNaturalNumber0 @ SV559 )
= $false )
| ( ( aNaturalNumber0 @ SV562 )
= $false )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6684]) ).
thf(6720,plain,
! [SV563: $i,SV503: $i,SV560: $i] :
( ( ( ( sdtasdt0 @ SV560 @ SV503 )
= ( sdtasdt0 @ SV563 @ SV503 ) )
= $false )
| ( ( SV560 = SV563 )
= $true )
| ( ( aNaturalNumber0 @ SV560 )
= $false )
| ( ( aNaturalNumber0 @ SV563 )
= $false )
| ( ( SV503 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV503 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6685]) ).
thf(6721,plain,
( ( ( xn != xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6686]) ).
thf(6722,plain,
( ( ~ ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6687]) ).
thf(6723,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6688]) ).
thf(6724,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6689]) ).
thf(6725,plain,
( ( ( xp != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6690]) ).
thf(6726,plain,
( ( ( xp != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6691]) ).
thf(6727,plain,
! [SV520: $i,SV498: $i,SV605: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV605 )
| ( ( sdtpldt0 @ SV498 @ SV605 )
!= ( sdtpldt0 @ SV520 @ SV605 ) ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6692]) ).
thf(6728,plain,
! [SV520: $i,SV498: $i] :
( ( ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) )
| ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) )
= $false )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6693]) ).
thf(6729,plain,
! [SV561: $i,SV558: $i,SV499: $i] :
( ( ( ( SV499 = sz00 )
| ( SV558 = SV561 )
| ~ ( sdtlseqdt0 @ SV558 @ SV561 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV558 @ SV499 )
!= ( sdtasdt0 @ SV561 @ SV499 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV558 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV561 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6695]) ).
thf(6730,plain,
! [SV569: $i,SV567: $i,SV499: $i] :
( ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV567 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV569 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV567 = SV569 )
| ~ ( sdtlseqdt0 @ SV567 @ SV569 )
| ( ( sdtasdt0 @ SV499 @ SV567 )
!= ( sdtasdt0 @ SV499 @ SV569 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6696]) ).
thf(6731,plain,
! [SV570: $i,SV568: $i,SV499: $i] :
( ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV568 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV570 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV568 = SV570 )
| ~ ( sdtlseqdt0 @ SV568 @ SV570 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SV568 ) @ ( sdtasdt0 @ SV499 @ SV570 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6697]) ).
thf(6732,plain,
! [SV499: $i,SV555: $i,SV548: $i] :
( ( ( sdtlseqdt0 @ SV548 @ SV555 )
= $false )
| ( ( SV548 = SV555 )
= $true )
| ( ( SV499 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV548 @ SV499 ) @ ( sdtasdt0 @ SV555 @ SV499 ) )
= $true )
| ( ( aNaturalNumber0 @ SV548 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV555 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6698]) ).
thf(6733,plain,
! [SV572: $i,SV565: $i] :
( ( ( xr
= ( sdtasdt0 @ SV565 @ SV572 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV572 ) )
= $true )
| ( ( aNaturalNumber0 @ SV565 )
= $false )
| ( ( ( SV565 = sz10 )
| ( SV565 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6699]) ).
thf(6734,plain,
( ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6701]) ).
thf(6735,plain,
! [SV589: $i,SV573: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV573 )
| ~ ( aNaturalNumber0 @ SV589 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) ) ) )
| ( SV589 = sz00 )
| ( SV589 = sz10 )
| ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6703]) ).
thf(6736,plain,
! [SV590: $i,SV574: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV574 )
| ~ ( aNaturalNumber0 @ SV590 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) ) ) )
| ( SV590 = sz00 )
| ( SV590 = sz10 )
| ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6704]) ).
thf(6737,plain,
! [SV591: $i,SV575: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV575 )
| ~ ( aNaturalNumber0 @ SV591 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) ) ) )
| ( SV591 = sz00 )
| ( SV591 = sz10 )
| ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6705]) ).
thf(6738,plain,
! [SV592: $i,SV576: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV576 )
| ~ ( aNaturalNumber0 @ SV592 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) ) ) )
| ( SV592 = sz00 )
| ( SV592 = sz10 )
| ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6706]) ).
thf(6739,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV577 )
| ~ ( aNaturalNumber0 @ SV593 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) ) ) )
| ( SV593 = sz00 )
| ( SV593 = sz10 )
| ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6707]) ).
thf(6740,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV578 )
| ~ ( aNaturalNumber0 @ SV594 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) ) ) )
| ( SV594 = sz00 )
| ( SV594 = sz10 )
| ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6708]) ).
thf(6741,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV579 )
| ~ ( aNaturalNumber0 @ SV595 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) ) ) )
| ( SV595 = sz00 )
| ( SV595 = sz10 )
| ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6709]) ).
thf(6742,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV580 )
| ~ ( aNaturalNumber0 @ SV596 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) ) ) )
| ( SV596 = sz00 )
| ( SV596 = sz10 )
| ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6710]) ).
thf(6743,plain,
! [SV597: $i,SV581: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV581 )
| ~ ( aNaturalNumber0 @ SV597 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV597 )
| ! [SY682: $i] :
( ( ( sdtasdt0 @ SV502 @ SV581 )
!= ( sdtasdt0 @ SV597 @ SY682 ) )
| ~ ( aNaturalNumber0 @ SY682 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6711]) ).
thf(6744,plain,
! [SV598: $i,SV582: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV582 )
| ~ ( aNaturalNumber0 @ SV598 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV598 )
| ! [SY683: $i] :
( ( ( sdtasdt0 @ SV502 @ SV582 )
!= ( sdtasdt0 @ SV598 @ SY683 ) )
| ~ ( aNaturalNumber0 @ SY683 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6712]) ).
thf(6745,plain,
! [SV599: $i,SV583: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV583 )
| ~ ( aNaturalNumber0 @ SV599 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV599 )
| ! [SY684: $i] :
( ( ( sdtasdt0 @ SV502 @ SV583 )
!= ( sdtasdt0 @ SV599 @ SY684 ) )
| ~ ( aNaturalNumber0 @ SY684 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6713]) ).
thf(6746,plain,
! [SV600: $i,SV584: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV584 )
| ~ ( aNaturalNumber0 @ SV600 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV600 )
| ! [SY685: $i] :
( ( ( sdtasdt0 @ SV502 @ SV584 )
!= ( sdtasdt0 @ SV600 @ SY685 ) )
| ~ ( aNaturalNumber0 @ SY685 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6714]) ).
thf(6747,plain,
! [SV601: $i,SV585: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV585 )
| ~ ( aNaturalNumber0 @ SV601 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV601 )
| ~ ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6715]) ).
thf(6748,plain,
! [SV602: $i,SV586: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV586 )
| ~ ( aNaturalNumber0 @ SV602 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV602 )
| ~ ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ( doDivides0 @ SV602 @ SV586 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6716]) ).
thf(6749,plain,
! [SV603: $i,SV587: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV587 )
| ~ ( aNaturalNumber0 @ SV603 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV603 )
| ~ ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV603 @ SV502 )
| ~ ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6717]) ).
thf(6750,plain,
! [SV604: $i,SV588: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV588 )
| ~ ( aNaturalNumber0 @ SV604 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV604 )
| ~ ( doDivides0 @ SV604 @ ( sdtasdt0 @ SV502 @ SV588 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV588 ) @ SV604 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV604 @ SV502 )
| ( doDivides0 @ SV604 @ SV588 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6718]) ).
thf(6751,plain,
( ( xn = xp )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6721]) ).
thf(6752,plain,
( ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK7_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6722]) ).
thf(6753,plain,
! [SV606: $i] :
( ( ~ ( aNaturalNumber0 @ SV606 )
| ! [SY686: $i] :
( ( xp
!= ( sdtasdt0 @ SV606 @ SY686 ) )
| ~ ( aNaturalNumber0 @ SY686 ) )
| ( SV606 = sz10 )
| ( SV606 = xp ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6723]) ).
thf(6754,plain,
! [SV607: $i] :
( ( ~ ( aNaturalNumber0 @ SV607 )
| ~ ( doDivides0 @ SV607 @ xp )
| ( SV607 = sz10 )
| ( SV607 = xp ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6724]) ).
thf(6755,plain,
( ( xp = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6725]) ).
thf(6756,plain,
( ( xp = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6726]) ).
thf(6757,plain,
! [SV520: $i,SV498: $i,SV605: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV605 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV498 @ SV605 )
!= ( sdtpldt0 @ SV520 @ SV605 ) ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6727]) ).
thf(6758,plain,
! [SV520: $i,SV498: $i] :
( ( ( ~ ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) ) )
= $false )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6728]) ).
thf(6759,plain,
! [SV520: $i,SV498: $i] :
( ( ( ~ ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) )
= $false )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6728]) ).
thf(6760,plain,
! [SV561: $i,SV558: $i,SV499: $i] :
( ( ( ( SV499 = sz00 )
| ( SV558 = SV561 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV558 @ SV561 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV558 @ SV499 )
!= ( sdtasdt0 @ SV561 @ SV499 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV558 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV561 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6729]) ).
thf(6761,plain,
! [SV569: $i,SV499: $i,SV567: $i] :
( ( ( aNaturalNumber0 @ SV567 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV569 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV567 = SV569 )
| ~ ( sdtlseqdt0 @ SV567 @ SV569 )
| ( ( sdtasdt0 @ SV499 @ SV567 )
!= ( sdtasdt0 @ SV499 @ SV569 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6730]) ).
thf(6762,plain,
! [SV570: $i,SV499: $i,SV568: $i] :
( ( ( aNaturalNumber0 @ SV568 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV570 ) )
= $true )
| ( ( ( SV499 = sz00 )
| ( SV568 = SV570 )
| ~ ( sdtlseqdt0 @ SV568 @ SV570 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SV568 ) @ ( sdtasdt0 @ SV499 @ SV570 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6731]) ).
thf(6763,plain,
! [SV565: $i,SV572: $i] :
( ( ( aNaturalNumber0 @ SV572 )
= $false )
| ( ( xr
= ( sdtasdt0 @ SV565 @ SV572 ) )
= $false )
| ( ( aNaturalNumber0 @ SV565 )
= $false )
| ( ( ( SV565 = sz10 )
| ( SV565 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6733]) ).
thf(6764,plain,
( ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6734]) ).
thf(6765,plain,
( ( ~ ( aNaturalNumber0 @ xr ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6734]) ).
thf(6766,plain,
! [SV589: $i,SV573: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV573 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV589 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) ) ) )
| ( SV589 = sz00 )
| ( SV589 = sz10 )
| ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6735]) ).
thf(6767,plain,
! [SV590: $i,SV574: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV574 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV590 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) ) ) )
| ( SV590 = sz00 )
| ( SV590 = sz10 )
| ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6736]) ).
thf(6768,plain,
! [SV591: $i,SV575: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV575 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV591 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) ) ) )
| ( SV591 = sz00 )
| ( SV591 = sz10 )
| ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6737]) ).
thf(6769,plain,
! [SV592: $i,SV576: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV576 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV592 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) ) ) )
| ( SV592 = sz00 )
| ( SV592 = sz10 )
| ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6738]) ).
thf(6770,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV577 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV593 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) ) ) )
| ( SV593 = sz00 )
| ( SV593 = sz10 )
| ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6739]) ).
thf(6771,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV578 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV594 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) ) ) )
| ( SV594 = sz00 )
| ( SV594 = sz10 )
| ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6740]) ).
thf(6772,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV579 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV595 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) ) ) )
| ( SV595 = sz00 )
| ( SV595 = sz10 )
| ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6741]) ).
thf(6773,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV580 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV596 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) ) ) )
| ( SV596 = sz00 )
| ( SV596 = sz10 )
| ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6742]) ).
thf(6774,plain,
! [SV597: $i,SV581: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV581 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV597 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV597 )
| ! [SY682: $i] :
( ( ( sdtasdt0 @ SV502 @ SV581 )
!= ( sdtasdt0 @ SV597 @ SY682 ) )
| ~ ( aNaturalNumber0 @ SY682 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6743]) ).
thf(6775,plain,
! [SV598: $i,SV582: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV582 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV598 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV598 )
| ! [SY683: $i] :
( ( ( sdtasdt0 @ SV502 @ SV582 )
!= ( sdtasdt0 @ SV598 @ SY683 ) )
| ~ ( aNaturalNumber0 @ SY683 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6744]) ).
thf(6776,plain,
! [SV599: $i,SV583: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV583 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV599 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV599 )
| ! [SY684: $i] :
( ( ( sdtasdt0 @ SV502 @ SV583 )
!= ( sdtasdt0 @ SV599 @ SY684 ) )
| ~ ( aNaturalNumber0 @ SY684 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6745]) ).
thf(6777,plain,
! [SV600: $i,SV584: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV584 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV600 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV600 )
| ! [SY685: $i] :
( ( ( sdtasdt0 @ SV502 @ SV584 )
!= ( sdtasdt0 @ SV600 @ SY685 ) )
| ~ ( aNaturalNumber0 @ SY685 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6746]) ).
thf(6778,plain,
! [SV601: $i,SV585: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV585 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV601 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV601 )
| ~ ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6747]) ).
thf(6779,plain,
! [SV602: $i,SV586: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV586 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV602 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV602 )
| ~ ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ( doDivides0 @ SV602 @ SV586 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6748]) ).
thf(6780,plain,
! [SV603: $i,SV587: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV587 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV603 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV603 )
| ~ ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV603 @ SV502 )
| ~ ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6749]) ).
thf(6781,plain,
! [SV604: $i,SV588: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 )
| ~ ( aNaturalNumber0 @ SV588 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV604 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV604 )
| ~ ( doDivides0 @ SV604 @ ( sdtasdt0 @ SV502 @ SV588 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV588 ) @ SV604 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV604 @ SV502 )
| ( doDivides0 @ SV604 @ SV588 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6750]) ).
thf(6782,plain,
( ( ( ( sdtpldt0 @ xn @ sK7_W0 )
!= xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6752]) ).
thf(6783,plain,
( ( ~ ( aNaturalNumber0 @ sK7_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6752]) ).
thf(6784,plain,
! [SV606: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV606 )
| ! [SY686: $i] :
( ( xp
!= ( sdtasdt0 @ SV606 @ SY686 ) )
| ~ ( aNaturalNumber0 @ SY686 ) ) )
= $true )
| ( ( ( SV606 = sz10 )
| ( SV606 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6753]) ).
thf(6785,plain,
! [SV607: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV607 )
| ~ ( doDivides0 @ SV607 @ xp ) )
= $true )
| ( ( ( SV607 = sz10 )
| ( SV607 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6754]) ).
thf(6786,plain,
! [SV520: $i,SV498: $i,SV605: $i] :
( ( ( aNaturalNumber0 @ SV605 )
= $false )
| ( ( ( ( sdtpldt0 @ SV498 @ SV605 )
!= ( sdtpldt0 @ SV520 @ SV605 ) ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6757]) ).
thf(6787,plain,
! [SV520: $i,SV498: $i] :
( ( ( ! [SY636: $i] :
( ~ ( aNaturalNumber0 @ SY636 )
| ( ( sdtpldt0 @ SY636 @ SV498 )
!= ( sdtpldt0 @ SY636 @ SV520 ) ) ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6758]) ).
thf(6788,plain,
! [SV520: $i,SV498: $i] :
( ( ( ! [SY637: $i] :
( ~ ( aNaturalNumber0 @ SY637 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY637 @ SV498 ) @ ( sdtpldt0 @ SY637 @ SV520 ) ) ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6759]) ).
thf(6789,plain,
! [SV561: $i,SV558: $i,SV499: $i] :
( ( ( SV499 = sz00 )
= $true )
| ( ( SV558 = SV561 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV558 @ SV561 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV558 @ SV499 )
!= ( sdtasdt0 @ SV561 @ SV499 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV558 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV561 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6760]) ).
thf(6790,plain,
! [SV567: $i,SV499: $i,SV569: $i] :
( ( ( aNaturalNumber0 @ SV569 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV567 )
= $false )
| ( ( ( SV499 = sz00 )
| ( SV567 = SV569 )
| ~ ( sdtlseqdt0 @ SV567 @ SV569 )
| ( ( sdtasdt0 @ SV499 @ SV567 )
!= ( sdtasdt0 @ SV499 @ SV569 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6761]) ).
thf(6791,plain,
! [SV568: $i,SV499: $i,SV570: $i] :
( ( ( aNaturalNumber0 @ SV570 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV568 )
= $false )
| ( ( ( SV499 = sz00 )
| ( SV568 = SV570 )
| ~ ( sdtlseqdt0 @ SV568 @ SV570 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SV568 ) @ ( sdtasdt0 @ SV499 @ SV570 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6762]) ).
thf(6792,plain,
! [SV572: $i,SV565: $i] :
( ( ( SV565 = sz10 )
= $true )
| ( ( SV565 = xr )
= $true )
| ( ( aNaturalNumber0 @ SV565 )
= $false )
| ( ( xr
= ( sdtasdt0 @ SV565 @ SV572 ) )
= $false )
| ( ( aNaturalNumber0 @ SV572 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6763]) ).
thf(6793,plain,
( ( ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6764]) ).
thf(6794,plain,
( ( aNaturalNumber0 @ xr )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6765]) ).
thf(6795,plain,
! [SV589: $i,SV573: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV573 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV589 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) ) ) )
| ( SV589 = sz00 )
| ( SV589 = sz10 )
| ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6766]) ).
thf(6796,plain,
! [SV590: $i,SV574: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV574 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV590 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) ) ) )
| ( SV590 = sz00 )
| ( SV590 = sz10 )
| ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6767]) ).
thf(6797,plain,
! [SV591: $i,SV575: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV575 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV591 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) ) ) )
| ( SV591 = sz00 )
| ( SV591 = sz10 )
| ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6768]) ).
thf(6798,plain,
! [SV592: $i,SV576: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV576 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV592 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) ) ) )
| ( SV592 = sz00 )
| ( SV592 = sz10 )
| ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6769]) ).
thf(6799,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV577 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV593 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) ) ) )
| ( SV593 = sz00 )
| ( SV593 = sz10 )
| ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6770]) ).
thf(6800,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV578 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV594 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) ) ) )
| ( SV594 = sz00 )
| ( SV594 = sz10 )
| ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6771]) ).
thf(6801,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV579 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV595 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) ) ) )
| ( SV595 = sz00 )
| ( SV595 = sz10 )
| ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6772]) ).
thf(6802,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV580 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV596 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) ) ) )
| ( SV596 = sz00 )
| ( SV596 = sz10 )
| ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6773]) ).
thf(6803,plain,
! [SV597: $i,SV581: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV581 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV597 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV597 )
| ! [SY682: $i] :
( ( ( sdtasdt0 @ SV502 @ SV581 )
!= ( sdtasdt0 @ SV597 @ SY682 ) )
| ~ ( aNaturalNumber0 @ SY682 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6774]) ).
thf(6804,plain,
! [SV598: $i,SV582: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV582 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV598 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV598 )
| ! [SY683: $i] :
( ( ( sdtasdt0 @ SV502 @ SV582 )
!= ( sdtasdt0 @ SV598 @ SY683 ) )
| ~ ( aNaturalNumber0 @ SY683 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6775]) ).
thf(6805,plain,
! [SV599: $i,SV583: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV583 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV599 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV599 )
| ! [SY684: $i] :
( ( ( sdtasdt0 @ SV502 @ SV583 )
!= ( sdtasdt0 @ SV599 @ SY684 ) )
| ~ ( aNaturalNumber0 @ SY684 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6776]) ).
thf(6806,plain,
! [SV600: $i,SV584: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV584 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV600 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV600 )
| ! [SY685: $i] :
( ( ( sdtasdt0 @ SV502 @ SV584 )
!= ( sdtasdt0 @ SV600 @ SY685 ) )
| ~ ( aNaturalNumber0 @ SY685 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6777]) ).
thf(6807,plain,
! [SV601: $i,SV585: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV585 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV601 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV601 )
| ~ ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6778]) ).
thf(6808,plain,
! [SV602: $i,SV586: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV586 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV602 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV602 )
| ~ ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ( doDivides0 @ SV602 @ SV586 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6779]) ).
thf(6809,plain,
! [SV603: $i,SV587: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV587 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV603 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV603 )
| ~ ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV603 @ SV502 )
| ~ ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6780]) ).
thf(6810,plain,
! [SV604: $i,SV588: $i,SV502: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV502 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV588 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV604 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV604 )
| ~ ( doDivides0 @ SV604 @ ( sdtasdt0 @ SV502 @ SV588 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV588 ) @ SV604 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV604 @ SV502 )
| ( doDivides0 @ SV604 @ SV588 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6781]) ).
thf(6811,plain,
( ( ( sdtpldt0 @ xn @ sK7_W0 )
= xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6782]) ).
thf(6812,plain,
( ( aNaturalNumber0 @ sK7_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6783]) ).
thf(6813,plain,
! [SV606: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV606 ) )
= $true )
| ( ( ! [SY686: $i] :
( ( xp
!= ( sdtasdt0 @ SV606 @ SY686 ) )
| ~ ( aNaturalNumber0 @ SY686 ) ) )
= $true )
| ( ( ( SV606 = sz10 )
| ( SV606 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6784]) ).
thf(6814,plain,
! [SV607: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV607 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV607 @ xp ) )
= $true )
| ( ( ( SV607 = sz10 )
| ( SV607 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6785]) ).
thf(6815,plain,
! [SV520: $i,SV605: $i,SV498: $i] :
( ( ( ( sdtpldt0 @ SV498 @ SV605 )
= ( sdtpldt0 @ SV520 @ SV605 ) )
= $false )
| ( ( aNaturalNumber0 @ SV605 )
= $false )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6786]) ).
thf(6816,plain,
! [SV520: $i,SV498: $i,SV608: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV608 )
| ( ( sdtpldt0 @ SV608 @ SV498 )
!= ( sdtpldt0 @ SV608 @ SV520 ) ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6787]) ).
thf(6817,plain,
! [SV520: $i,SV498: $i,SV609: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV609 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV609 @ SV498 ) @ ( sdtpldt0 @ SV609 @ SV520 ) ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6788]) ).
thf(6818,plain,
! [SV499: $i,SV561: $i,SV558: $i] :
( ( ( sdtlseqdt0 @ SV558 @ SV561 )
= $false )
| ( ( SV558 = SV561 )
= $true )
| ( ( SV499 = sz00 )
= $true )
| ( ( ( ( sdtasdt0 @ SV558 @ SV499 )
!= ( sdtasdt0 @ SV561 @ SV499 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV558 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV561 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6789]) ).
thf(6819,plain,
! [SV569: $i,SV567: $i,SV499: $i] :
( ( ( ( SV499 = sz00 )
| ( SV567 = SV569 )
| ~ ( sdtlseqdt0 @ SV567 @ SV569 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV499 @ SV567 )
!= ( sdtasdt0 @ SV499 @ SV569 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV567 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV569 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6790]) ).
thf(6820,plain,
! [SV570: $i,SV568: $i,SV499: $i] :
( ( ( ( SV499 = sz00 )
| ( SV568 = SV570 )
| ~ ( sdtlseqdt0 @ SV568 @ SV570 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SV568 ) @ ( sdtasdt0 @ SV499 @ SV570 ) )
= $true )
| ( ( aNaturalNumber0 @ SV568 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV570 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6791]) ).
thf(6821,plain,
( ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6793]) ).
thf(6822,plain,
! [SV589: $i,SV573: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV573 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV589 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) ) ) )
| ( SV589 = sz00 )
| ( SV589 = sz10 )
| ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6795]) ).
thf(6823,plain,
! [SV590: $i,SV574: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV574 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV590 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) ) ) )
| ( SV590 = sz00 )
| ( SV590 = sz10 )
| ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6796]) ).
thf(6824,plain,
! [SV591: $i,SV575: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV575 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV591 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) ) ) )
| ( SV591 = sz00 )
| ( SV591 = sz10 )
| ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6797]) ).
thf(6825,plain,
! [SV592: $i,SV576: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV576 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV592 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) ) ) )
| ( SV592 = sz00 )
| ( SV592 = sz10 )
| ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6798]) ).
thf(6826,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV577 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV593 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) ) ) )
| ( SV593 = sz00 )
| ( SV593 = sz10 )
| ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6799]) ).
thf(6827,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV578 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV594 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) ) ) )
| ( SV594 = sz00 )
| ( SV594 = sz10 )
| ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6800]) ).
thf(6828,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV579 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV595 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) ) ) )
| ( SV595 = sz00 )
| ( SV595 = sz10 )
| ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6801]) ).
thf(6829,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV580 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV596 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) ) ) )
| ( SV596 = sz00 )
| ( SV596 = sz10 )
| ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6802]) ).
thf(6830,plain,
! [SV597: $i,SV581: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV581 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV597 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV597 )
| ! [SY682: $i] :
( ( ( sdtasdt0 @ SV502 @ SV581 )
!= ( sdtasdt0 @ SV597 @ SY682 ) )
| ~ ( aNaturalNumber0 @ SY682 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6803]) ).
thf(6831,plain,
! [SV598: $i,SV582: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV582 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV598 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV598 )
| ! [SY683: $i] :
( ( ( sdtasdt0 @ SV502 @ SV582 )
!= ( sdtasdt0 @ SV598 @ SY683 ) )
| ~ ( aNaturalNumber0 @ SY683 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6804]) ).
thf(6832,plain,
! [SV599: $i,SV583: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV583 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV599 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV599 )
| ! [SY684: $i] :
( ( ( sdtasdt0 @ SV502 @ SV583 )
!= ( sdtasdt0 @ SV599 @ SY684 ) )
| ~ ( aNaturalNumber0 @ SY684 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6805]) ).
thf(6833,plain,
! [SV600: $i,SV584: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV584 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV600 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV600 )
| ! [SY685: $i] :
( ( ( sdtasdt0 @ SV502 @ SV584 )
!= ( sdtasdt0 @ SV600 @ SY685 ) )
| ~ ( aNaturalNumber0 @ SY685 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6806]) ).
thf(6834,plain,
! [SV601: $i,SV585: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV585 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV601 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV601 )
| ~ ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6807]) ).
thf(6835,plain,
! [SV602: $i,SV586: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV586 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV602 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV602 )
| ~ ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ( doDivides0 @ SV602 @ SV586 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6808]) ).
thf(6836,plain,
! [SV603: $i,SV587: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV587 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV603 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV603 )
| ~ ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV603 @ SV502 )
| ~ ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6809]) ).
thf(6837,plain,
! [SV604: $i,SV588: $i,SV502: $i] :
( ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV588 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV604 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV604 )
| ~ ( doDivides0 @ SV604 @ ( sdtasdt0 @ SV502 @ SV588 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV588 ) @ SV604 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV604 @ SV502 )
| ( doDivides0 @ SV604 @ SV588 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6810]) ).
thf(6838,plain,
! [SV606: $i] :
( ( ( aNaturalNumber0 @ SV606 )
= $false )
| ( ( ! [SY686: $i] :
( ( xp
!= ( sdtasdt0 @ SV606 @ SY686 ) )
| ~ ( aNaturalNumber0 @ SY686 ) ) )
= $true )
| ( ( ( SV606 = sz10 )
| ( SV606 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6813]) ).
thf(6839,plain,
! [SV607: $i] :
( ( ( aNaturalNumber0 @ SV607 )
= $false )
| ( ( ~ ( doDivides0 @ SV607 @ xp ) )
= $true )
| ( ( ( SV607 = sz10 )
| ( SV607 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6814]) ).
thf(6840,plain,
! [SV520: $i,SV498: $i,SV608: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV608 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV608 @ SV498 )
!= ( sdtpldt0 @ SV608 @ SV520 ) ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6816]) ).
thf(6841,plain,
! [SV520: $i,SV498: $i,SV609: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV609 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV609 @ SV498 ) @ ( sdtpldt0 @ SV609 @ SV520 ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6817]) ).
thf(6842,plain,
! [SV561: $i,SV499: $i,SV558: $i] :
( ( ( ( sdtasdt0 @ SV558 @ SV499 )
= ( sdtasdt0 @ SV561 @ SV499 ) )
= $false )
| ( ( SV499 = sz00 )
= $true )
| ( ( SV558 = SV561 )
= $true )
| ( ( sdtlseqdt0 @ SV558 @ SV561 )
= $false )
| ( ( aNaturalNumber0 @ SV558 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV561 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6818]) ).
thf(6843,plain,
! [SV569: $i,SV567: $i,SV499: $i] :
( ( ( ( SV499 = sz00 )
| ( SV567 = SV569 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV567 @ SV569 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV499 @ SV567 )
!= ( sdtasdt0 @ SV499 @ SV569 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV567 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV569 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6819]) ).
thf(6844,plain,
! [SV570: $i,SV568: $i,SV499: $i] :
( ( ( ( SV499 = sz00 )
| ( SV568 = SV570 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV568 @ SV570 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SV568 ) @ ( sdtasdt0 @ SV499 @ SV570 ) )
= $true )
| ( ( aNaturalNumber0 @ SV568 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV570 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6820]) ).
thf(6845,plain,
( ( ( xk
!= ( sdtasdt0 @ xr @ sK5_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6821]) ).
thf(6846,plain,
( ( ~ ( aNaturalNumber0 @ sK5_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[6821]) ).
thf(6847,plain,
! [SV589: $i,SV502: $i,SV573: $i] :
( ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV589 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) ) ) )
| ( SV589 = sz00 )
| ( SV589 = sz10 )
| ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6822]) ).
thf(6848,plain,
! [SV590: $i,SV502: $i,SV574: $i] :
( ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV590 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) ) ) )
| ( SV590 = sz00 )
| ( SV590 = sz10 )
| ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6823]) ).
thf(6849,plain,
! [SV591: $i,SV502: $i,SV575: $i] :
( ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV591 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) ) ) )
| ( SV591 = sz00 )
| ( SV591 = sz10 )
| ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6824]) ).
thf(6850,plain,
! [SV592: $i,SV502: $i,SV576: $i] :
( ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV592 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) ) ) )
| ( SV592 = sz00 )
| ( SV592 = sz10 )
| ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6825]) ).
thf(6851,plain,
! [SV593: $i,SV502: $i,SV577: $i] :
( ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV593 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) ) ) )
| ( SV593 = sz00 )
| ( SV593 = sz10 )
| ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6826]) ).
thf(6852,plain,
! [SV594: $i,SV502: $i,SV578: $i] :
( ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV594 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) ) ) )
| ( SV594 = sz00 )
| ( SV594 = sz10 )
| ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6827]) ).
thf(6853,plain,
! [SV595: $i,SV502: $i,SV579: $i] :
( ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV595 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) ) ) )
| ( SV595 = sz00 )
| ( SV595 = sz10 )
| ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6828]) ).
thf(6854,plain,
! [SV596: $i,SV502: $i,SV580: $i] :
( ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV596 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) ) ) )
| ( SV596 = sz00 )
| ( SV596 = sz10 )
| ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6829]) ).
thf(6855,plain,
! [SV597: $i,SV502: $i,SV581: $i] :
( ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV597 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV597 )
| ! [SY682: $i] :
( ( ( sdtasdt0 @ SV502 @ SV581 )
!= ( sdtasdt0 @ SV597 @ SY682 ) )
| ~ ( aNaturalNumber0 @ SY682 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6830]) ).
thf(6856,plain,
! [SV598: $i,SV502: $i,SV582: $i] :
( ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV598 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV598 )
| ! [SY683: $i] :
( ( ( sdtasdt0 @ SV502 @ SV582 )
!= ( sdtasdt0 @ SV598 @ SY683 ) )
| ~ ( aNaturalNumber0 @ SY683 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6831]) ).
thf(6857,plain,
! [SV599: $i,SV502: $i,SV583: $i] :
( ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV599 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV599 )
| ! [SY684: $i] :
( ( ( sdtasdt0 @ SV502 @ SV583 )
!= ( sdtasdt0 @ SV599 @ SY684 ) )
| ~ ( aNaturalNumber0 @ SY684 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6832]) ).
thf(6858,plain,
! [SV600: $i,SV502: $i,SV584: $i] :
( ( ( aNaturalNumber0 @ SV584 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV600 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV600 )
| ! [SY685: $i] :
( ( ( sdtasdt0 @ SV502 @ SV584 )
!= ( sdtasdt0 @ SV600 @ SY685 ) )
| ~ ( aNaturalNumber0 @ SY685 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6833]) ).
thf(6859,plain,
! [SV601: $i,SV502: $i,SV585: $i] :
( ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV601 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV601 )
| ~ ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6834]) ).
thf(6860,plain,
! [SV602: $i,SV502: $i,SV586: $i] :
( ( ( aNaturalNumber0 @ SV586 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV602 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV602 )
| ~ ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ( doDivides0 @ SV602 @ SV586 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6835]) ).
thf(6861,plain,
! [SV603: $i,SV502: $i,SV587: $i] :
( ( ( aNaturalNumber0 @ SV587 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV603 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV603 )
| ~ ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV603 @ SV502 )
| ~ ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6836]) ).
thf(6862,plain,
! [SV604: $i,SV502: $i,SV588: $i] :
( ( ( aNaturalNumber0 @ SV588 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV604 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV604 )
| ~ ( doDivides0 @ SV604 @ ( sdtasdt0 @ SV502 @ SV588 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV588 ) @ SV604 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV604 @ SV502 )
| ( doDivides0 @ SV604 @ SV588 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6837]) ).
thf(6863,plain,
! [SV610: $i,SV606: $i] :
( ( ( ( xp
!= ( sdtasdt0 @ SV606 @ SV610 ) )
| ~ ( aNaturalNumber0 @ SV610 ) )
= $true )
| ( ( aNaturalNumber0 @ SV606 )
= $false )
| ( ( ( SV606 = sz10 )
| ( SV606 = xp ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[6838]) ).
thf(6864,plain,
! [SV607: $i] :
( ( ( doDivides0 @ SV607 @ xp )
= $false )
| ( ( aNaturalNumber0 @ SV607 )
= $false )
| ( ( ( SV607 = sz10 )
| ( SV607 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6839]) ).
thf(6865,plain,
! [SV520: $i,SV498: $i,SV608: $i] :
( ( ( aNaturalNumber0 @ SV608 )
= $false )
| ( ( ( ( sdtpldt0 @ SV608 @ SV498 )
!= ( sdtpldt0 @ SV608 @ SV520 ) ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6840]) ).
thf(6866,plain,
! [SV520: $i,SV498: $i,SV609: $i] :
( ( ( aNaturalNumber0 @ SV609 )
= $false )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV609 @ SV498 ) @ ( sdtpldt0 @ SV609 @ SV520 ) )
= $true )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6841]) ).
thf(6867,plain,
! [SV569: $i,SV567: $i,SV499: $i] :
( ( ( SV499 = sz00 )
= $true )
| ( ( SV567 = SV569 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV567 @ SV569 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV499 @ SV567 )
!= ( sdtasdt0 @ SV499 @ SV569 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV567 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV569 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6843]) ).
thf(6868,plain,
! [SV570: $i,SV568: $i,SV499: $i] :
( ( ( SV499 = sz00 )
= $true )
| ( ( SV568 = SV570 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV568 @ SV570 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SV568 ) @ ( sdtasdt0 @ SV499 @ SV570 ) )
= $true )
| ( ( aNaturalNumber0 @ SV568 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV570 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6844]) ).
thf(6869,plain,
( ( xk
= ( sdtasdt0 @ xr @ sK5_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6845]) ).
thf(6870,plain,
( ( aNaturalNumber0 @ sK5_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[6846]) ).
thf(6871,plain,
! [SV573: $i,SV502: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ SV589 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) ) ) )
| ( SV589 = sz00 )
| ( SV589 = sz10 )
| ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6847]) ).
thf(6872,plain,
! [SV574: $i,SV502: $i,SV590: $i] :
( ( ( aNaturalNumber0 @ SV590 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) ) ) )
| ( SV590 = sz00 )
| ( SV590 = sz10 )
| ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6848]) ).
thf(6873,plain,
! [SV575: $i,SV502: $i,SV591: $i] :
( ( ( aNaturalNumber0 @ SV591 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) ) ) )
| ( SV591 = sz00 )
| ( SV591 = sz10 )
| ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6849]) ).
thf(6874,plain,
! [SV576: $i,SV502: $i,SV592: $i] :
( ( ( aNaturalNumber0 @ SV592 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) ) ) )
| ( SV592 = sz00 )
| ( SV592 = sz10 )
| ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6850]) ).
thf(6875,plain,
! [SV577: $i,SV502: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ SV593 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) ) ) )
| ( SV593 = sz00 )
| ( SV593 = sz10 )
| ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6851]) ).
thf(6876,plain,
! [SV578: $i,SV502: $i,SV594: $i] :
( ( ( aNaturalNumber0 @ SV594 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) ) ) )
| ( SV594 = sz00 )
| ( SV594 = sz10 )
| ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6852]) ).
thf(6877,plain,
! [SV579: $i,SV502: $i,SV595: $i] :
( ( ( aNaturalNumber0 @ SV595 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) ) ) )
| ( SV595 = sz00 )
| ( SV595 = sz10 )
| ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6853]) ).
thf(6878,plain,
! [SV580: $i,SV502: $i,SV596: $i] :
( ( ( aNaturalNumber0 @ SV596 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) ) ) )
| ( SV596 = sz00 )
| ( SV596 = sz10 )
| ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6854]) ).
thf(6879,plain,
! [SV581: $i,SV502: $i,SV597: $i] :
( ( ( aNaturalNumber0 @ SV597 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( ~ ( isPrime0 @ SV597 )
| ! [SY682: $i] :
( ( ( sdtasdt0 @ SV502 @ SV581 )
!= ( sdtasdt0 @ SV597 @ SY682 ) )
| ~ ( aNaturalNumber0 @ SY682 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6855]) ).
thf(6880,plain,
! [SV582: $i,SV502: $i,SV598: $i] :
( ( ( aNaturalNumber0 @ SV598 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( ~ ( isPrime0 @ SV598 )
| ! [SY683: $i] :
( ( ( sdtasdt0 @ SV502 @ SV582 )
!= ( sdtasdt0 @ SV598 @ SY683 ) )
| ~ ( aNaturalNumber0 @ SY683 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6856]) ).
thf(6881,plain,
! [SV583: $i,SV502: $i,SV599: $i] :
( ( ( aNaturalNumber0 @ SV599 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( ~ ( isPrime0 @ SV599 )
| ! [SY684: $i] :
( ( ( sdtasdt0 @ SV502 @ SV583 )
!= ( sdtasdt0 @ SV599 @ SY684 ) )
| ~ ( aNaturalNumber0 @ SY684 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6857]) ).
thf(6882,plain,
! [SV584: $i,SV502: $i,SV600: $i] :
( ( ( aNaturalNumber0 @ SV600 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV584 )
= $false )
| ( ( ~ ( isPrime0 @ SV600 )
| ! [SY685: $i] :
( ( ( sdtasdt0 @ SV502 @ SV584 )
!= ( sdtasdt0 @ SV600 @ SY685 ) )
| ~ ( aNaturalNumber0 @ SY685 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6858]) ).
thf(6883,plain,
! [SV585: $i,SV502: $i,SV601: $i] :
( ( ( aNaturalNumber0 @ SV601 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( ~ ( isPrime0 @ SV601 )
| ~ ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6859]) ).
thf(6884,plain,
! [SV586: $i,SV502: $i,SV602: $i] :
( ( ( aNaturalNumber0 @ SV602 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV586 )
= $false )
| ( ( ~ ( isPrime0 @ SV602 )
| ~ ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ( doDivides0 @ SV602 @ SV586 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6860]) ).
thf(6885,plain,
! [SV587: $i,SV502: $i,SV603: $i] :
( ( ( aNaturalNumber0 @ SV603 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV587 )
= $false )
| ( ( ~ ( isPrime0 @ SV603 )
| ~ ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV603 @ SV502 )
| ~ ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6861]) ).
thf(6886,plain,
! [SV588: $i,SV502: $i,SV604: $i] :
( ( ( aNaturalNumber0 @ SV604 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV588 )
= $false )
| ( ( ~ ( isPrime0 @ SV604 )
| ~ ( doDivides0 @ SV604 @ ( sdtasdt0 @ SV502 @ SV588 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV588 ) @ SV604 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV604 @ SV502 )
| ( doDivides0 @ SV604 @ SV588 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6862]) ).
thf(6887,plain,
! [SV610: $i,SV606: $i] :
( ( ( ( xp
!= ( sdtasdt0 @ SV606 @ SV610 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV610 ) )
= $true )
| ( ( aNaturalNumber0 @ SV606 )
= $false )
| ( ( ( SV606 = sz10 )
| ( SV606 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[6863]) ).
thf(6888,plain,
! [SV607: $i] :
( ( ( SV607 = sz10 )
= $true )
| ( ( SV607 = xp )
= $true )
| ( ( aNaturalNumber0 @ SV607 )
= $false )
| ( ( doDivides0 @ SV607 @ xp )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6864]) ).
thf(6889,plain,
! [SV520: $i,SV498: $i,SV608: $i] :
( ( ( ( sdtpldt0 @ SV608 @ SV498 )
= ( sdtpldt0 @ SV608 @ SV520 ) )
= $false )
| ( ( aNaturalNumber0 @ SV608 )
= $false )
| ( ( SV498 = SV520 )
= $true )
| ( ( sdtlseqdt0 @ SV498 @ SV520 )
= $false )
| ( ( aNaturalNumber0 @ SV498 )
= $false )
| ( ( aNaturalNumber0 @ SV520 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6865]) ).
thf(6890,plain,
! [SV499: $i,SV569: $i,SV567: $i] :
( ( ( sdtlseqdt0 @ SV567 @ SV569 )
= $false )
| ( ( SV567 = SV569 )
= $true )
| ( ( SV499 = sz00 )
= $true )
| ( ( ( ( sdtasdt0 @ SV499 @ SV567 )
!= ( sdtasdt0 @ SV499 @ SV569 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV567 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV569 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6867]) ).
thf(6891,plain,
! [SV499: $i,SV570: $i,SV568: $i] :
( ( ( sdtlseqdt0 @ SV568 @ SV570 )
= $false )
| ( ( SV568 = SV570 )
= $true )
| ( ( SV499 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV499 @ SV568 ) @ ( sdtasdt0 @ SV499 @ SV570 ) )
= $true )
| ( ( aNaturalNumber0 @ SV568 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV570 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6868]) ).
thf(6892,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) ) ) )
| ( SV589 = sz00 )
| ( SV589 = sz10 )
| ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6871]) ).
thf(6893,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) ) ) )
| ( SV590 = sz00 )
| ( SV590 = sz10 )
| ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6872]) ).
thf(6894,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) ) ) )
| ( SV591 = sz00 )
| ( SV591 = sz10 )
| ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6873]) ).
thf(6895,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) ) ) )
| ( SV592 = sz00 )
| ( SV592 = sz10 )
| ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6874]) ).
thf(6896,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) ) ) )
| ( SV593 = sz00 )
| ( SV593 = sz10 )
| ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6875]) ).
thf(6897,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) ) ) )
| ( SV594 = sz00 )
| ( SV594 = sz10 )
| ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6876]) ).
thf(6898,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) ) ) )
| ( SV595 = sz00 )
| ( SV595 = sz10 )
| ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6877]) ).
thf(6899,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) ) ) )
| ( SV596 = sz00 )
| ( SV596 = sz10 )
| ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6878]) ).
thf(6900,plain,
! [SV581: $i,SV502: $i,SV597: $i] :
( ( ( ~ ( isPrime0 @ SV597 )
| ! [SY682: $i] :
( ( ( sdtasdt0 @ SV502 @ SV581 )
!= ( sdtasdt0 @ SV597 @ SY682 ) )
| ~ ( aNaturalNumber0 @ SY682 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6879]) ).
thf(6901,plain,
! [SV582: $i,SV502: $i,SV598: $i] :
( ( ( ~ ( isPrime0 @ SV598 )
| ! [SY683: $i] :
( ( ( sdtasdt0 @ SV502 @ SV582 )
!= ( sdtasdt0 @ SV598 @ SY683 ) )
| ~ ( aNaturalNumber0 @ SY683 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV598 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6880]) ).
thf(6902,plain,
! [SV583: $i,SV502: $i,SV599: $i] :
( ( ( ~ ( isPrime0 @ SV599 )
| ! [SY684: $i] :
( ( ( sdtasdt0 @ SV502 @ SV583 )
!= ( sdtasdt0 @ SV599 @ SY684 ) )
| ~ ( aNaturalNumber0 @ SY684 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV599 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6881]) ).
thf(6903,plain,
! [SV584: $i,SV502: $i,SV600: $i] :
( ( ( ~ ( isPrime0 @ SV600 )
| ! [SY685: $i] :
( ( ( sdtasdt0 @ SV502 @ SV584 )
!= ( sdtasdt0 @ SV600 @ SY685 ) )
| ~ ( aNaturalNumber0 @ SY685 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true )
| ( ( aNaturalNumber0 @ SV584 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV600 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6882]) ).
thf(6904,plain,
! [SV585: $i,SV502: $i,SV601: $i] :
( ( ( ~ ( isPrime0 @ SV601 )
| ~ ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6883]) ).
thf(6905,plain,
! [SV586: $i,SV502: $i,SV602: $i] :
( ( ( ~ ( isPrime0 @ SV602 )
| ~ ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ( doDivides0 @ SV602 @ SV586 ) )
= $true )
| ( ( aNaturalNumber0 @ SV586 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV602 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6884]) ).
thf(6906,plain,
! [SV587: $i,SV502: $i,SV603: $i] :
( ( ( ~ ( isPrime0 @ SV603 )
| ~ ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV603 @ SV502 )
| ~ ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV587 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV603 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6885]) ).
thf(6907,plain,
! [SV588: $i,SV502: $i,SV604: $i] :
( ( ( ~ ( isPrime0 @ SV604 )
| ~ ( doDivides0 @ SV604 @ ( sdtasdt0 @ SV502 @ SV588 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV588 ) @ SV604 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV604 @ SV502 )
| ( doDivides0 @ SV604 @ SV588 ) )
= $true )
| ( ( aNaturalNumber0 @ SV588 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV604 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6886]) ).
thf(6908,plain,
! [SV610: $i,SV606: $i] :
( ( ( xp
= ( sdtasdt0 @ SV606 @ SV610 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV610 ) )
= $true )
| ( ( aNaturalNumber0 @ SV606 )
= $false )
| ( ( ( SV606 = sz10 )
| ( SV606 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6887]) ).
thf(6909,plain,
! [SV569: $i,SV567: $i,SV499: $i] :
( ( ( ( sdtasdt0 @ SV499 @ SV567 )
= ( sdtasdt0 @ SV499 @ SV569 ) )
= $false )
| ( ( SV499 = sz00 )
= $true )
| ( ( SV567 = SV569 )
= $true )
| ( ( sdtlseqdt0 @ SV567 @ SV569 )
= $false )
| ( ( aNaturalNumber0 @ SV567 )
= $false )
| ( ( aNaturalNumber0 @ SV499 )
= $false )
| ( ( aNaturalNumber0 @ SV569 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6890]) ).
thf(6910,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) ) ) )
| ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6892]) ).
thf(6911,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) ) ) )
| ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6893]) ).
thf(6912,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) ) ) )
| ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6894]) ).
thf(6913,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) ) ) )
| ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6895]) ).
thf(6914,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) ) ) )
| ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6896]) ).
thf(6915,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) ) ) )
| ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6897]) ).
thf(6916,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) ) ) )
| ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6898]) ).
thf(6917,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) ) ) )
| ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6899]) ).
thf(6918,plain,
! [SV581: $i,SV502: $i,SV597: $i] :
( ( ( ~ ( isPrime0 @ SV597 ) )
= $true )
| ( ( ! [SY682: $i] :
( ( ( sdtasdt0 @ SV502 @ SV581 )
!= ( sdtasdt0 @ SV597 @ SY682 ) )
| ~ ( aNaturalNumber0 @ SY682 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6900]) ).
thf(6919,plain,
! [SV582: $i,SV502: $i,SV598: $i] :
( ( ( ~ ( isPrime0 @ SV598 ) )
= $true )
| ( ( ! [SY683: $i] :
( ( ( sdtasdt0 @ SV502 @ SV582 )
!= ( sdtasdt0 @ SV598 @ SY683 ) )
| ~ ( aNaturalNumber0 @ SY683 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV598 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6901]) ).
thf(6920,plain,
! [SV583: $i,SV502: $i,SV599: $i] :
( ( ( ~ ( isPrime0 @ SV599 ) )
= $true )
| ( ( ! [SY684: $i] :
( ( ( sdtasdt0 @ SV502 @ SV583 )
!= ( sdtasdt0 @ SV599 @ SY684 ) )
| ~ ( aNaturalNumber0 @ SY684 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV599 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6902]) ).
thf(6921,plain,
! [SV584: $i,SV502: $i,SV600: $i] :
( ( ( ~ ( isPrime0 @ SV600 ) )
= $true )
| ( ( ! [SY685: $i] :
( ( ( sdtasdt0 @ SV502 @ SV584 )
!= ( sdtasdt0 @ SV600 @ SY685 ) )
| ~ ( aNaturalNumber0 @ SY685 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true )
| ( ( aNaturalNumber0 @ SV584 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV600 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6903]) ).
thf(6922,plain,
! [SV585: $i,SV502: $i,SV601: $i] :
( ( ( ~ ( isPrime0 @ SV601 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6904]) ).
thf(6923,plain,
! [SV586: $i,SV502: $i,SV602: $i] :
( ( ( ~ ( isPrime0 @ SV602 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ( doDivides0 @ SV602 @ SV586 ) )
= $true )
| ( ( aNaturalNumber0 @ SV586 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV602 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6905]) ).
thf(6924,plain,
! [SV587: $i,SV502: $i,SV603: $i] :
( ( ( ~ ( isPrime0 @ SV603 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV603 @ SV502 )
| ~ ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV587 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV603 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6906]) ).
thf(6925,plain,
! [SV588: $i,SV502: $i,SV604: $i] :
( ( ( ~ ( isPrime0 @ SV604 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV604 @ ( sdtasdt0 @ SV502 @ SV588 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV588 ) @ SV604 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV604 @ SV502 )
| ( doDivides0 @ SV604 @ SV588 ) )
= $true )
| ( ( aNaturalNumber0 @ SV588 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV604 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6907]) ).
thf(6926,plain,
! [SV606: $i,SV610: $i] :
( ( ( aNaturalNumber0 @ SV610 )
= $false )
| ( ( xp
= ( sdtasdt0 @ SV606 @ SV610 ) )
= $false )
| ( ( aNaturalNumber0 @ SV606 )
= $false )
| ( ( ( SV606 = sz10 )
| ( SV606 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[6908]) ).
thf(6927,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) ) ) ) )
= $true )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6910]) ).
thf(6928,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) ) ) ) )
= $true )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6911]) ).
thf(6929,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) ) ) ) )
= $true )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6912]) ).
thf(6930,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) ) ) ) )
= $true )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6913]) ).
thf(6931,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) ) ) ) )
= $true )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6914]) ).
thf(6932,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) ) ) ) )
= $true )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6915]) ).
thf(6933,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) ) ) ) )
= $true )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6916]) ).
thf(6934,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) ) ) ) )
= $true )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6917]) ).
thf(6935,plain,
! [SV581: $i,SV502: $i,SV597: $i] :
( ( ( isPrime0 @ SV597 )
= $false )
| ( ( ! [SY682: $i] :
( ( ( sdtasdt0 @ SV502 @ SV581 )
!= ( sdtasdt0 @ SV597 @ SY682 ) )
| ~ ( aNaturalNumber0 @ SY682 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6918]) ).
thf(6936,plain,
! [SV582: $i,SV502: $i,SV598: $i] :
( ( ( isPrime0 @ SV598 )
= $false )
| ( ( ! [SY683: $i] :
( ( ( sdtasdt0 @ SV502 @ SV582 )
!= ( sdtasdt0 @ SV598 @ SY683 ) )
| ~ ( aNaturalNumber0 @ SY683 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV598 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6919]) ).
thf(6937,plain,
! [SV583: $i,SV502: $i,SV599: $i] :
( ( ( isPrime0 @ SV599 )
= $false )
| ( ( ! [SY684: $i] :
( ( ( sdtasdt0 @ SV502 @ SV583 )
!= ( sdtasdt0 @ SV599 @ SY684 ) )
| ~ ( aNaturalNumber0 @ SY684 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV599 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6920]) ).
thf(6938,plain,
! [SV584: $i,SV502: $i,SV600: $i] :
( ( ( isPrime0 @ SV600 )
= $false )
| ( ( ! [SY685: $i] :
( ( ( sdtasdt0 @ SV502 @ SV584 )
!= ( sdtasdt0 @ SV600 @ SY685 ) )
| ~ ( aNaturalNumber0 @ SY685 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true )
| ( ( aNaturalNumber0 @ SV584 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV600 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6921]) ).
thf(6939,plain,
! [SV585: $i,SV502: $i,SV601: $i] :
( ( ( isPrime0 @ SV601 )
= $false )
| ( ( ~ ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6922]) ).
thf(6940,plain,
! [SV586: $i,SV502: $i,SV602: $i] :
( ( ( isPrime0 @ SV602 )
= $false )
| ( ( ~ ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ( doDivides0 @ SV602 @ SV586 ) )
= $true )
| ( ( aNaturalNumber0 @ SV586 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV602 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6923]) ).
thf(6941,plain,
! [SV587: $i,SV502: $i,SV603: $i] :
( ( ( isPrime0 @ SV603 )
= $false )
| ( ( ~ ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV603 @ SV502 )
| ~ ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV587 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV603 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6924]) ).
thf(6942,plain,
! [SV588: $i,SV502: $i,SV604: $i] :
( ( ( isPrime0 @ SV604 )
= $false )
| ( ( ~ ( doDivides0 @ SV604 @ ( sdtasdt0 @ SV502 @ SV588 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV588 ) @ SV604 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV604 @ SV502 )
| ( doDivides0 @ SV604 @ SV588 ) )
= $true )
| ( ( aNaturalNumber0 @ SV588 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV604 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6925]) ).
thf(6943,plain,
! [SV610: $i,SV606: $i] :
( ( ( SV606 = sz10 )
= $true )
| ( ( SV606 = xp )
= $true )
| ( ( aNaturalNumber0 @ SV606 )
= $false )
| ( ( xp
= ( sdtasdt0 @ SV606 @ SV610 ) )
= $false )
| ( ( aNaturalNumber0 @ SV610 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6926]) ).
thf(6944,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 ) )
| ~ ~ ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) ) ) )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6927]) ).
thf(6945,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 ) )
| ~ ~ ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) ) ) )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6928]) ).
thf(6946,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 ) )
| ~ ~ ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) ) ) )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6929]) ).
thf(6947,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 ) )
| ~ ~ ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) ) ) )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6930]) ).
thf(6948,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 ) )
| ~ ~ ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) ) ) )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6931]) ).
thf(6949,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 ) )
| ~ ~ ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) ) ) )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6932]) ).
thf(6950,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 ) )
| ~ ~ ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) ) ) )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6933]) ).
thf(6951,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 ) )
| ~ ~ ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) ) ) )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6934]) ).
thf(6952,plain,
! [SV611: $i,SV597: $i,SV581: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV581 )
!= ( sdtasdt0 @ SV597 @ SV611 ) )
| ~ ( aNaturalNumber0 @ SV611 ) )
= $true )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6935]) ).
thf(6953,plain,
! [SV612: $i,SV598: $i,SV582: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV582 )
!= ( sdtasdt0 @ SV598 @ SV612 ) )
| ~ ( aNaturalNumber0 @ SV612 ) )
= $true )
| ( ( isPrime0 @ SV598 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV598 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6936]) ).
thf(6954,plain,
! [SV613: $i,SV599: $i,SV583: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV583 )
!= ( sdtasdt0 @ SV599 @ SV613 ) )
| ~ ( aNaturalNumber0 @ SV613 ) )
= $true )
| ( ( isPrime0 @ SV599 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV599 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6937]) ).
thf(6955,plain,
! [SV614: $i,SV600: $i,SV584: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV584 )
!= ( sdtasdt0 @ SV600 @ SV614 ) )
| ~ ( aNaturalNumber0 @ SV614 ) )
= $true )
| ( ( isPrime0 @ SV600 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true )
| ( ( aNaturalNumber0 @ SV584 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV600 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[6938]) ).
thf(6956,plain,
! [SV585: $i,SV502: $i,SV601: $i] :
( ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6939]) ).
thf(6957,plain,
! [SV586: $i,SV502: $i,SV602: $i] :
( ( ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
= $false )
| ( ( isPrime0 @ SV602 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ( doDivides0 @ SV602 @ SV586 ) )
= $true )
| ( ( aNaturalNumber0 @ SV586 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV602 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6940]) ).
thf(6958,plain,
! [SV587: $i,SV502: $i,SV603: $i] :
( ( ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
= $false )
| ( ( isPrime0 @ SV603 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV603 @ SV502 )
| ~ ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV587 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV603 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6941]) ).
thf(6959,plain,
! [SV588: $i,SV502: $i,SV604: $i] :
( ( ( doDivides0 @ SV604 @ ( sdtasdt0 @ SV502 @ SV588 ) )
= $false )
| ( ( isPrime0 @ SV604 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV588 ) @ SV604 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV604 @ SV502 )
| ( doDivides0 @ SV604 @ SV588 ) )
= $true )
| ( ( aNaturalNumber0 @ SV588 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV604 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6942]) ).
thf(6960,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 ) ) )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6944]) ).
thf(6961,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) ) ) )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6944]) ).
thf(6962,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 ) ) )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6945]) ).
thf(6963,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) ) ) )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6945]) ).
thf(6964,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 ) ) )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6946]) ).
thf(6965,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) ) ) )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6946]) ).
thf(6966,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 ) ) )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6947]) ).
thf(6967,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) ) ) )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6947]) ).
thf(6968,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 ) ) )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6948]) ).
thf(6969,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) ) ) )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6948]) ).
thf(6970,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 ) ) )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6949]) ).
thf(6971,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) ) ) )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6949]) ).
thf(6972,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 ) ) )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6950]) ).
thf(6973,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) ) ) )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6950]) ).
thf(6974,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 ) ) )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6951]) ).
thf(6975,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) ) ) )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[6951]) ).
thf(6976,plain,
! [SV611: $i,SV597: $i,SV581: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV581 )
!= ( sdtasdt0 @ SV597 @ SV611 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV611 ) )
= $true )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6952]) ).
thf(6977,plain,
! [SV612: $i,SV598: $i,SV582: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV582 )
!= ( sdtasdt0 @ SV598 @ SV612 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV612 ) )
= $true )
| ( ( isPrime0 @ SV598 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV598 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6953]) ).
thf(6978,plain,
! [SV613: $i,SV599: $i,SV583: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV583 )
!= ( sdtasdt0 @ SV599 @ SV613 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV613 ) )
= $true )
| ( ( isPrime0 @ SV599 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV599 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6954]) ).
thf(6979,plain,
! [SV614: $i,SV600: $i,SV584: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV584 )
!= ( sdtasdt0 @ SV600 @ SV614 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV614 ) )
= $true )
| ( ( isPrime0 @ SV600 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true )
| ( ( aNaturalNumber0 @ SV584 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV600 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6955]) ).
thf(6980,plain,
! [SV601: $i,SV585: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6956]) ).
thf(6981,plain,
! [SV602: $i,SV586: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ( doDivides0 @ SV602 @ SV586 ) )
= $true )
| ( ( isPrime0 @ SV602 )
= $false )
| ( ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
= $false )
| ( ( aNaturalNumber0 @ SV586 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV602 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6957]) ).
thf(6982,plain,
! [SV603: $i,SV587: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV603 @ SV502 )
| ~ ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) ) )
= $true )
| ( ( isPrime0 @ SV603 )
= $false )
| ( ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
= $false )
| ( ( aNaturalNumber0 @ SV587 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV603 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6958]) ).
thf(6983,plain,
! [SV604: $i,SV588: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV588 ) @ SV604 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV604 @ SV502 )
| ( doDivides0 @ SV604 @ SV588 ) )
= $true )
| ( ( isPrime0 @ SV604 )
= $false )
| ( ( doDivides0 @ SV604 @ ( sdtasdt0 @ SV502 @ SV588 ) )
= $false )
| ( ( aNaturalNumber0 @ SV588 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV604 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[6959]) ).
thf(6984,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 ) ) )
= $true )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6960]) ).
thf(6985,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) ) ) )
= $true )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6961]) ).
thf(6986,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 ) ) )
= $true )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6962]) ).
thf(6987,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) ) ) )
= $true )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6963]) ).
thf(6988,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 ) ) )
= $true )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6964]) ).
thf(6989,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) ) ) )
= $true )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6965]) ).
thf(6990,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 ) ) )
= $true )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6966]) ).
thf(6991,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) ) ) )
= $true )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6967]) ).
thf(6992,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 ) ) )
= $true )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6968]) ).
thf(6993,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) ) ) )
= $true )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6969]) ).
thf(6994,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 ) ) )
= $true )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6970]) ).
thf(6995,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) ) ) )
= $true )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6971]) ).
thf(6996,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 ) ) )
= $true )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6972]) ).
thf(6997,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) ) ) )
= $true )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6973]) ).
thf(6998,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 ) ) )
= $true )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6974]) ).
thf(6999,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) ) ) )
= $true )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[6975]) ).
thf(7000,plain,
! [SV611: $i,SV597: $i,SV581: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV611 ) )
= $true )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6976]) ).
thf(7001,plain,
! [SV612: $i,SV598: $i,SV582: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV582 )
= ( sdtasdt0 @ SV598 @ SV612 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV612 ) )
= $true )
| ( ( isPrime0 @ SV598 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV598 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6977]) ).
thf(7002,plain,
! [SV613: $i,SV599: $i,SV583: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV583 )
= ( sdtasdt0 @ SV599 @ SV613 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV613 ) )
= $true )
| ( ( isPrime0 @ SV599 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV599 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6978]) ).
thf(7003,plain,
! [SV614: $i,SV600: $i,SV584: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV584 )
= ( sdtasdt0 @ SV600 @ SV614 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV614 ) )
= $true )
| ( ( isPrime0 @ SV600 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true )
| ( ( aNaturalNumber0 @ SV584 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV600 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6979]) ).
thf(7004,plain,
! [SV601: $i,SV585: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6980]) ).
thf(7005,plain,
! [SV602: $i,SV586: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ( doDivides0 @ SV602 @ SV586 ) )
= $true )
| ( ( isPrime0 @ SV602 )
= $false )
| ( ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
= $false )
| ( ( aNaturalNumber0 @ SV586 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV602 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6981]) ).
thf(7006,plain,
! [SV603: $i,SV587: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV603 @ SV502 )
| ~ ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) ) )
= $true )
| ( ( isPrime0 @ SV603 )
= $false )
| ( ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
= $false )
| ( ( aNaturalNumber0 @ SV587 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV603 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6982]) ).
thf(7007,plain,
! [SV604: $i,SV588: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV588 ) @ SV604 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV604 @ SV502 )
| ( doDivides0 @ SV604 @ SV588 ) )
= $true )
| ( ( isPrime0 @ SV604 )
= $false )
| ( ( doDivides0 @ SV604 @ ( sdtasdt0 @ SV502 @ SV588 ) )
= $false )
| ( ( aNaturalNumber0 @ SV588 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV604 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6983]) ).
thf(7008,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 ) )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6984]) ).
thf(7009,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) ) )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6985]) ).
thf(7010,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 ) )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6986]) ).
thf(7011,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) ) )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6987]) ).
thf(7012,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 ) )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6988]) ).
thf(7013,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) ) )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6989]) ).
thf(7014,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 ) )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6990]) ).
thf(7015,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) ) )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6991]) ).
thf(7016,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 ) )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6992]) ).
thf(7017,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) ) )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6993]) ).
thf(7018,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 ) )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6994]) ).
thf(7019,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) ) )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6995]) ).
thf(7020,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 ) )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6996]) ).
thf(7021,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) ) )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6997]) ).
thf(7022,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 ) )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6998]) ).
thf(7023,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) )
| ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) ) )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[6999]) ).
thf(7024,plain,
! [SV597: $i,SV581: $i,SV502: $i,SV611: $i] :
( ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7000]) ).
thf(7025,plain,
! [SV598: $i,SV582: $i,SV502: $i,SV612: $i] :
( ( ( aNaturalNumber0 @ SV612 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV582 )
= ( sdtasdt0 @ SV598 @ SV612 ) )
= $false )
| ( ( isPrime0 @ SV598 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV598 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7001]) ).
thf(7026,plain,
! [SV599: $i,SV583: $i,SV502: $i,SV613: $i] :
( ( ( aNaturalNumber0 @ SV613 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV583 )
= ( sdtasdt0 @ SV599 @ SV613 ) )
= $false )
| ( ( isPrime0 @ SV599 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV599 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7002]) ).
thf(7027,plain,
! [SV600: $i,SV584: $i,SV502: $i,SV614: $i] :
( ( ( aNaturalNumber0 @ SV614 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV584 )
= ( sdtasdt0 @ SV600 @ SV614 ) )
= $false )
| ( ( isPrime0 @ SV600 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true )
| ( ( aNaturalNumber0 @ SV584 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV600 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7003]) ).
thf(7028,plain,
! [SV585: $i,SV601: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true )
| ( ( ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7004]) ).
thf(7029,plain,
! [SV586: $i,SV602: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) ) )
= $true )
| ( ( doDivides0 @ SV602 @ SV586 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV602 )
= $false )
| ( ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
= $false )
| ( ( aNaturalNumber0 @ SV586 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV602 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7005]) ).
thf(7030,plain,
! [SV587: $i,SV502: $i,SV603: $i] :
( ( ( doDivides0 @ SV603 @ SV502 )
= $true )
| ( ( ~ ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV603 )
= $false )
| ( ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
= $false )
| ( ( aNaturalNumber0 @ SV587 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV603 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7006]) ).
thf(7031,plain,
! [SV588: $i,SV502: $i,SV604: $i] :
( ( ( doDivides0 @ SV604 @ SV502 )
= $true )
| ( ( doDivides0 @ SV604 @ SV588 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV588 ) @ SV604 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV604 )
= $false )
| ( ( doDivides0 @ SV604 @ ( sdtasdt0 @ SV502 @ SV588 ) )
= $false )
| ( ( aNaturalNumber0 @ SV588 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV604 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7007]) ).
thf(7032,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7008]) ).
thf(7033,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 ) )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7008]) ).
thf(7034,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) ) )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7009]) ).
thf(7035,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) ) )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7009]) ).
thf(7036,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) ) )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7010]) ).
thf(7037,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 ) )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7010]) ).
thf(7038,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) ) )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7011]) ).
thf(7039,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) ) )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7011]) ).
thf(7040,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7012]) ).
thf(7041,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 ) )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7012]) ).
thf(7042,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) ) )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7013]) ).
thf(7043,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) ) )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7013]) ).
thf(7044,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) ) )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7014]) ).
thf(7045,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 ) )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7014]) ).
thf(7046,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) ) )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7015]) ).
thf(7047,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) ) )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7015]) ).
thf(7048,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7016]) ).
thf(7049,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 ) )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7016]) ).
thf(7050,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) ) )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7017]) ).
thf(7051,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) ) )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7017]) ).
thf(7052,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) ) )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7018]) ).
thf(7053,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 ) )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7018]) ).
thf(7054,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) ) )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7019]) ).
thf(7055,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) ) )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7019]) ).
thf(7056,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7020]) ).
thf(7057,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 ) )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7020]) ).
thf(7058,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) ) )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7021]) ).
thf(7059,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) ) )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7021]) ).
thf(7060,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) ) )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7022]) ).
thf(7061,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 ) )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7022]) ).
thf(7062,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) ) )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7023]) ).
thf(7063,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) ) )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7023]) ).
thf(7064,plain,
! [SV611: $i,SV597: $i,SV581: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7024]) ).
thf(7065,plain,
! [SV612: $i,SV598: $i,SV582: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true )
| ( ( isPrime0 @ SV598 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV582 )
= ( sdtasdt0 @ SV598 @ SV612 ) )
= $false )
| ( ( aNaturalNumber0 @ SV612 )
= $false )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV598 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7025]) ).
thf(7066,plain,
! [SV613: $i,SV599: $i,SV583: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true )
| ( ( isPrime0 @ SV599 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV583 )
= ( sdtasdt0 @ SV599 @ SV613 ) )
= $false )
| ( ( aNaturalNumber0 @ SV613 )
= $false )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV599 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7026]) ).
thf(7067,plain,
! [SV614: $i,SV600: $i,SV584: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true )
| ( ( isPrime0 @ SV600 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV584 )
= ( sdtasdt0 @ SV600 @ SV614 ) )
= $false )
| ( ( aNaturalNumber0 @ SV614 )
= $false )
| ( ( aNaturalNumber0 @ SV584 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV600 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7027]) ).
thf(7068,plain,
! [SV585: $i,SV601: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7028]) ).
thf(7069,plain,
! [SV586: $i,SV602: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV602 @ SV586 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV602 )
= $false )
| ( ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
= $false )
| ( ( aNaturalNumber0 @ SV586 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV602 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7029]) ).
thf(7070,plain,
! [SV502: $i,SV603: $i,SV587: $i] :
( ( ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV603 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV603 )
= $false )
| ( ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
= $false )
| ( ( aNaturalNumber0 @ SV587 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV603 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7030]) ).
thf(7071,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7032]) ).
thf(7072,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7033]) ).
thf(7073,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= sz10 ) )
= $true )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7034]) ).
thf(7074,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
!= SV589 ) )
= $true )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7035]) ).
thf(7075,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) ) )
= $true )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7036]) ).
thf(7076,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 )
= $true )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7037]) ).
thf(7077,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= sz10 ) )
= $true )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7038]) ).
thf(7078,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
!= SV590 ) )
= $true )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7039]) ).
thf(7079,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7040]) ).
thf(7080,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 )
= $true )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7041]) ).
thf(7081,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= sz10 ) )
= $true )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7042]) ).
thf(7082,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
!= SV591 ) )
= $true )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7043]) ).
thf(7083,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) ) )
= $true )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7044]) ).
thf(7084,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 )
= $true )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7045]) ).
thf(7085,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= sz10 ) )
= $true )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7046]) ).
thf(7086,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
!= SV592 ) )
= $true )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7047]) ).
thf(7087,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7048]) ).
thf(7088,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7049]) ).
thf(7089,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= sz10 ) )
= $true )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7050]) ).
thf(7090,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
!= SV593 ) )
= $true )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7051]) ).
thf(7091,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) ) )
= $true )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7052]) ).
thf(7092,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 )
= $true )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7053]) ).
thf(7093,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= sz10 ) )
= $true )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7054]) ).
thf(7094,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
!= SV594 ) )
= $true )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7055]) ).
thf(7095,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7056]) ).
thf(7096,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 )
= $true )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7057]) ).
thf(7097,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= sz10 ) )
= $true )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7058]) ).
thf(7098,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
!= SV595 ) )
= $true )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7059]) ).
thf(7099,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) ) )
= $true )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7060]) ).
thf(7100,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 )
= $true )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7061]) ).
thf(7101,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= sz10 ) )
= $true )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7062]) ).
thf(7102,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
!= SV596 ) )
= $true )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7063]) ).
thf(7103,plain,
! [SV611: $i,SV597: $i,SV581: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7064]) ).
thf(7104,plain,
! [SV612: $i,SV598: $i,SV582: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ( doDivides0 @ SV598 @ SV582 ) )
= $true )
| ( ( isPrime0 @ SV598 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV582 )
= ( sdtasdt0 @ SV598 @ SV612 ) )
= $false )
| ( ( aNaturalNumber0 @ SV612 )
= $false )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV598 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7065]) ).
thf(7105,plain,
! [SV613: $i,SV599: $i,SV583: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV599 @ SV502 )
| ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true )
| ( ( isPrime0 @ SV599 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV583 )
= ( sdtasdt0 @ SV599 @ SV613 ) )
= $false )
| ( ( aNaturalNumber0 @ SV613 )
= $false )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV599 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7066]) ).
thf(7106,plain,
! [SV614: $i,SV600: $i,SV584: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV600 @ SV502 )
| ( doDivides0 @ SV600 @ SV584 ) )
= $true )
| ( ( isPrime0 @ SV600 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV584 )
= ( sdtasdt0 @ SV600 @ SV614 ) )
= $false )
| ( ( aNaturalNumber0 @ SV614 )
= $false )
| ( ( aNaturalNumber0 @ SV584 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV600 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7067]) ).
thf(7107,plain,
! [SV585: $i,SV601: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $false )
| ( ( ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7068]) ).
thf(7108,plain,
! [SV502: $i,SV585: $i,SV601: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7068]) ).
thf(7109,plain,
! [SV586: $i,SV602: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV602 @ SV586 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV602 )
= $false )
| ( ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
= $false )
| ( ( aNaturalNumber0 @ SV586 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV602 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7069]) ).
thf(7110,plain,
! [SV502: $i,SV586: $i,SV602: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV602 @ SV586 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV602 )
= $false )
| ( ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
= $false )
| ( ( aNaturalNumber0 @ SV586 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV602 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7069]) ).
thf(7111,plain,
! [SV502: $i,SV603: $i,SV587: $i] :
( ( ( ( SV587
!= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV603 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV603 )
= $false )
| ( ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
= $false )
| ( ( aNaturalNumber0 @ SV587 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV603 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7070]) ).
thf(7112,plain,
! [SV502: $i,SV587: $i,SV603: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV603 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV603 )
= $false )
| ( ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
= $false )
| ( ( aNaturalNumber0 @ SV587 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV603 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7070]) ).
thf(7113,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7071]) ).
thf(7114,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7072]) ).
thf(7115,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7073]) ).
thf(7116,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7074]) ).
thf(7117,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7075]) ).
thf(7118,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7076]) ).
thf(7119,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= sz10 )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7077]) ).
thf(7120,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= SV590 )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7078]) ).
thf(7121,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7079]) ).
thf(7122,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7080]) ).
thf(7123,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= sz10 )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7081]) ).
thf(7124,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= SV591 )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7082]) ).
thf(7125,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7083]) ).
thf(7126,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7084]) ).
thf(7127,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= sz10 )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7085]) ).
thf(7128,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= SV592 )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7086]) ).
thf(7129,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7087]) ).
thf(7130,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7088]) ).
thf(7131,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7089]) ).
thf(7132,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7090]) ).
thf(7133,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7091]) ).
thf(7134,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7092]) ).
thf(7135,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= sz10 )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7093]) ).
thf(7136,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= SV594 )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7094]) ).
thf(7137,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7095]) ).
thf(7138,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7096]) ).
thf(7139,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= sz10 )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7097]) ).
thf(7140,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= SV595 )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7098]) ).
thf(7141,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7099]) ).
thf(7142,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7100]) ).
thf(7143,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
= sz10 )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7101]) ).
thf(7144,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
= SV596 )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7102]) ).
thf(7145,plain,
! [SV611: $i,SV581: $i,SV597: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7103]) ).
thf(7146,plain,
! [SV612: $i,SV582: $i,SV598: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) ) )
= $true )
| ( ( doDivides0 @ SV598 @ SV582 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV598 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV582 )
= ( sdtasdt0 @ SV598 @ SV612 ) )
= $false )
| ( ( aNaturalNumber0 @ SV612 )
= $false )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV598 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7104]) ).
thf(7147,plain,
! [SV613: $i,SV583: $i,SV502: $i,SV599: $i] :
( ( ( doDivides0 @ SV599 @ SV502 )
= $true )
| ( ( ~ ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV599 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV583 )
= ( sdtasdt0 @ SV599 @ SV613 ) )
= $false )
| ( ( aNaturalNumber0 @ SV613 )
= $false )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV599 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7105]) ).
thf(7148,plain,
! [SV614: $i,SV584: $i,SV502: $i,SV600: $i] :
( ( ( doDivides0 @ SV600 @ SV502 )
= $true )
| ( ( doDivides0 @ SV600 @ SV584 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV584 ) @ SV600 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV600 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV584 )
= ( sdtasdt0 @ SV600 @ SV614 ) )
= $false )
| ( ( aNaturalNumber0 @ SV614 )
= $false )
| ( ( aNaturalNumber0 @ SV584 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV600 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7106]) ).
thf(7149,plain,
! [SV585: $i,SV601: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
= $true )
| ( ( ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7107]) ).
thf(7150,plain,
! [SV502: $i,SV585: $i,SV601: $i] :
( ( ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) )
= $true )
| ( ( ~ ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7108]) ).
thf(7151,plain,
! [SV586: $i,SV602: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV602 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV602 @ SV586 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV602 )
= $false )
| ( ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
= $false )
| ( ( aNaturalNumber0 @ SV586 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV602 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7109]) ).
thf(7152,plain,
! [SV502: $i,SV586: $i,SV602: $i] :
( ( ( aNaturalNumber0 @ ( sK10_W3 @ SV602 @ SV586 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV602 @ SV586 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV586 ) @ SV602 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV602 )
= $false )
| ( ( doDivides0 @ SV602 @ ( sdtasdt0 @ SV502 @ SV586 ) )
= $false )
| ( ( aNaturalNumber0 @ SV586 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV602 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7110]) ).
thf(7153,plain,
! [SV502: $i,SV603: $i,SV587: $i] :
( ( ( SV587
= ( sdtasdt0 @ SV603 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV603 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV603 )
= $false )
| ( ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
= $false )
| ( ( aNaturalNumber0 @ SV587 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV603 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7111]) ).
thf(7154,plain,
! [SV502: $i,SV587: $i,SV603: $i] :
( ( ( aNaturalNumber0 @ ( sK9_W3 @ SV603 @ SV587 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV603 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV587 ) @ SV603 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV603 )
= $false )
| ( ( doDivides0 @ SV603 @ ( sdtasdt0 @ SV502 @ SV587 ) )
= $false )
| ( ( aNaturalNumber0 @ SV587 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV603 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7112]) ).
thf(7155,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7113]) ).
thf(7156,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7113]) ).
thf(7157,plain,
! [SV615: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SV615 ) )
| ~ ( aNaturalNumber0 @ SV615 ) )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7114]) ).
thf(7158,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7115]) ).
thf(7159,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7116]) ).
thf(7160,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) ) )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7117]) ).
thf(7161,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7117]) ).
thf(7162,plain,
! [SV616: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SV616 ) )
| ~ ( aNaturalNumber0 @ SV616 ) )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7118]) ).
thf(7163,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= sz10 )
= $false )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7119]) ).
thf(7164,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= SV590 )
= $false )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7120]) ).
thf(7165,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) ) )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7121]) ).
thf(7166,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7121]) ).
thf(7167,plain,
! [SV617: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SV617 ) )
| ~ ( aNaturalNumber0 @ SV617 ) )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7122]) ).
thf(7168,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= sz10 )
= $false )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7123]) ).
thf(7169,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= SV591 )
= $false )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7124]) ).
thf(7170,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) ) )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7125]) ).
thf(7171,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) ) )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7125]) ).
thf(7172,plain,
! [SV618: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SV618 ) )
| ~ ( aNaturalNumber0 @ SV618 ) )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7126]) ).
thf(7173,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= sz10 )
= $false )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7127]) ).
thf(7174,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= SV592 )
= $false )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7128]) ).
thf(7175,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7129]) ).
thf(7176,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7129]) ).
thf(7177,plain,
! [SV577: $i,SV502: $i,SV593: $i] :
( ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7130]) ).
thf(7178,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7131]) ).
thf(7179,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7132]) ).
thf(7180,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) ) )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7133]) ).
thf(7181,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7133]) ).
thf(7182,plain,
! [SV578: $i,SV502: $i,SV594: $i] :
( ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7134]) ).
thf(7183,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7135]) ).
thf(7184,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= SV594 )
= $false )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7136]) ).
thf(7185,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) ) )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7137]) ).
thf(7186,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7137]) ).
thf(7187,plain,
! [SV579: $i,SV502: $i,SV595: $i] :
( ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7138]) ).
thf(7188,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7139]) ).
thf(7189,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= SV595 )
= $false )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7140]) ).
thf(7190,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) ) )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7141]) ).
thf(7191,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) ) )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7141]) ).
thf(7192,plain,
! [SV580: $i,SV502: $i,SV596: $i] :
( ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7142]) ).
thf(7193,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7143]) ).
thf(7194,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
= SV596 )
= $false )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7144]) ).
thf(7195,plain,
! [SV611: $i,SV581: $i,SV597: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7145]) ).
thf(7196,plain,
! [SV612: $i,SV582: $i,SV598: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV598 @ SV582 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV598 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV582 )
= ( sdtasdt0 @ SV598 @ SV612 ) )
= $false )
| ( ( aNaturalNumber0 @ SV612 )
= $false )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV598 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7146]) ).
thf(7197,plain,
! [SV613: $i,SV502: $i,SV599: $i,SV583: $i] :
( ( ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV599 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV599 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV583 )
= ( sdtasdt0 @ SV599 @ SV613 ) )
= $false )
| ( ( aNaturalNumber0 @ SV613 )
= $false )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV599 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7147]) ).
thf(7198,plain,
! [SV502: $i,SV601: $i,SV585: $i] :
( ( ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7149]) ).
thf(7199,plain,
! [SV502: $i,SV601: $i,SV585: $i] :
( ( ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7150]) ).
thf(7200,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7155]) ).
thf(7201,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7156]) ).
thf(7202,plain,
! [SV615: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SV615 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV615 ) )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7157]) ).
thf(7203,plain,
! [SV619: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SV619 ) )
| ~ ( aNaturalNumber0 @ SV619 ) )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7158]) ).
thf(7204,plain,
! [SV620: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SV620 ) )
| ~ ( aNaturalNumber0 @ SV620 ) )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7159]) ).
thf(7205,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) ) )
= $true )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7160]) ).
thf(7206,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7161]) ).
thf(7207,plain,
! [SV616: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SV616 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV616 ) )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7162]) ).
thf(7208,plain,
! [SV621: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SV621 ) )
| ~ ( aNaturalNumber0 @ SV621 ) )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= sz10 )
= $false )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7163]) ).
thf(7209,plain,
! [SV622: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SV622 ) )
| ~ ( aNaturalNumber0 @ SV622 ) )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= SV590 )
= $false )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7164]) ).
thf(7210,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7165]) ).
thf(7211,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7166]) ).
thf(7212,plain,
! [SV617: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SV617 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV617 ) )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7167]) ).
thf(7213,plain,
! [SV623: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SV623 ) )
| ~ ( aNaturalNumber0 @ SV623 ) )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= sz10 )
= $false )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7168]) ).
thf(7214,plain,
! [SV624: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SV624 ) )
| ~ ( aNaturalNumber0 @ SV624 ) )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= SV591 )
= $false )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7169]) ).
thf(7215,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) ) )
= $true )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7170]) ).
thf(7216,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7171]) ).
thf(7217,plain,
! [SV618: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SV618 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV618 ) )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7172]) ).
thf(7218,plain,
! [SV625: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SV625 ) )
| ~ ( aNaturalNumber0 @ SV625 ) )
= $true )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= sz10 )
= $false )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7173]) ).
thf(7219,plain,
! [SV626: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SV626 ) )
| ~ ( aNaturalNumber0 @ SV626 ) )
= $true )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= SV592 )
= $false )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7174]) ).
thf(7220,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7175]) ).
thf(7221,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7176]) ).
thf(7222,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7177]) ).
thf(7223,plain,
! [SV577: $i,SV502: $i,SV593: $i] :
( ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7178]) ).
thf(7224,plain,
! [SV577: $i,SV502: $i,SV593: $i] :
( ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7179]) ).
thf(7225,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) ) )
= $true )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7180]) ).
thf(7226,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7181]) ).
thf(7227,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7182]) ).
thf(7228,plain,
! [SV578: $i,SV502: $i,SV594: $i] :
( ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= sz10 )
= $false )
| ( ( SV594 = sz10 )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7183]) ).
thf(7229,plain,
! [SV578: $i,SV502: $i,SV594: $i] :
( ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= SV594 )
= $false )
| ( ( SV594 = sz10 )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7184]) ).
thf(7230,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7185]) ).
thf(7231,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7186]) ).
thf(7232,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7187]) ).
thf(7233,plain,
! [SV579: $i,SV502: $i,SV595: $i] :
( ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= sz10 )
= $false )
| ( ( SV595 = sz10 )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7188]) ).
thf(7234,plain,
! [SV579: $i,SV502: $i,SV595: $i] :
( ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= SV595 )
= $false )
| ( ( SV595 = sz10 )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7189]) ).
thf(7235,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) ) )
= $true )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7190]) ).
thf(7236,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) )
= $true )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7191]) ).
thf(7237,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 )
= $true )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7192]) ).
thf(7238,plain,
! [SV580: $i,SV502: $i,SV596: $i] :
( ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
= sz10 )
= $false )
| ( ( SV596 = sz10 )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7193]) ).
thf(7239,plain,
! [SV580: $i,SV502: $i,SV596: $i] :
( ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
= SV596 )
= $false )
| ( ( SV596 = sz10 )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7194]) ).
thf(7240,plain,
! [SV611: $i,SV581: $i,SV597: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $false )
| ( ( ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7195]) ).
thf(7241,plain,
! [SV611: $i,SV502: $i,SV581: $i,SV597: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7195]) ).
thf(7242,plain,
! [SV612: $i,SV582: $i,SV598: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV598 @ SV582 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV598 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV582 )
= ( sdtasdt0 @ SV598 @ SV612 ) )
= $false )
| ( ( aNaturalNumber0 @ SV612 )
= $false )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV598 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7196]) ).
thf(7243,plain,
! [SV612: $i,SV502: $i,SV582: $i,SV598: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV598 @ SV582 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV598 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV582 )
= ( sdtasdt0 @ SV598 @ SV612 ) )
= $false )
| ( ( aNaturalNumber0 @ SV612 )
= $false )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV598 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7196]) ).
thf(7244,plain,
! [SV613: $i,SV502: $i,SV599: $i,SV583: $i] :
( ( ( ( SV583
!= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV599 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV599 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV583 )
= ( sdtasdt0 @ SV599 @ SV613 ) )
= $false )
| ( ( aNaturalNumber0 @ SV613 )
= $false )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV599 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7197]) ).
thf(7245,plain,
! [SV613: $i,SV502: $i,SV583: $i,SV599: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV599 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV599 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV583 )
= ( sdtasdt0 @ SV599 @ SV613 ) )
= $false )
| ( ( aNaturalNumber0 @ SV613 )
= $false )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV599 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7197]) ).
thf(7246,plain,
! [SV502: $i,SV601: $i,SV585: $i] :
( ( ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7198]) ).
thf(7247,plain,
! [SV502: $i,SV585: $i,SV601: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7198]) ).
thf(7248,plain,
! [SV502: $i,SV601: $i,SV585: $i] :
( ( ( ( SV585
!= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7199]) ).
thf(7249,plain,
! [SV502: $i,SV585: $i,SV601: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7199]) ).
thf(7250,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7200]) ).
thf(7251,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7201]) ).
thf(7252,plain,
! [SV615: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV615 ) )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7202]) ).
thf(7253,plain,
! [SV619: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SV619 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV619 ) )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7203]) ).
thf(7254,plain,
! [SV620: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SV620 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV620 ) )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7204]) ).
thf(7255,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7205]) ).
thf(7256,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7206]) ).
thf(7257,plain,
! [SV616: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV616 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV616 ) )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7207]) ).
thf(7258,plain,
! [SV621: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SV621 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV621 ) )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= sz10 )
= $false )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7208]) ).
thf(7259,plain,
! [SV622: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SV622 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV622 ) )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= SV590 )
= $false )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7209]) ).
thf(7260,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7210]) ).
thf(7261,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7211]) ).
thf(7262,plain,
! [SV617: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV617 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV617 ) )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7212]) ).
thf(7263,plain,
! [SV623: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SV623 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV623 ) )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= sz10 )
= $false )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7213]) ).
thf(7264,plain,
! [SV624: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SV624 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV624 ) )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= SV591 )
= $false )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7214]) ).
thf(7265,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7215]) ).
thf(7266,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7216]) ).
thf(7267,plain,
! [SV618: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV618 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV618 ) )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7217]) ).
thf(7268,plain,
! [SV625: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SV625 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV625 ) )
= $true )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= sz10 )
= $false )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7218]) ).
thf(7269,plain,
! [SV626: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SV626 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV626 ) )
= $true )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= SV592 )
= $false )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7219]) ).
thf(7270,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7220]) ).
thf(7271,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7221]) ).
thf(7272,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7222]) ).
thf(7273,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7223]) ).
thf(7274,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7224]) ).
thf(7275,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7225]) ).
thf(7276,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7226]) ).
thf(7277,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7227]) ).
thf(7278,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7228]) ).
thf(7279,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= SV594 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7229]) ).
thf(7280,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7230]) ).
thf(7281,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7231]) ).
thf(7282,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7232]) ).
thf(7283,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7233]) ).
thf(7284,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= SV595 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7234]) ).
thf(7285,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7235]) ).
thf(7286,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7236]) ).
thf(7287,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 )
= $true )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7237]) ).
thf(7288,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7238]) ).
thf(7289,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
= SV596 )
= $false )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7239]) ).
thf(7290,plain,
! [SV611: $i,SV581: $i,SV597: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
= $true )
| ( ( ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7240]) ).
thf(7291,plain,
! [SV611: $i,SV502: $i,SV581: $i,SV597: $i] :
( ( ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) )
= $true )
| ( ( ~ ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7241]) ).
thf(7292,plain,
! [SV612: $i,SV582: $i,SV598: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV598 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV598 @ SV582 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV598 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV582 )
= ( sdtasdt0 @ SV598 @ SV612 ) )
= $false )
| ( ( aNaturalNumber0 @ SV612 )
= $false )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV598 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7242]) ).
thf(7293,plain,
! [SV612: $i,SV502: $i,SV582: $i,SV598: $i] :
( ( ( aNaturalNumber0 @ ( sK14_W3 @ SV598 @ SV582 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV598 @ SV582 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV582 ) @ SV598 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV598 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV582 )
= ( sdtasdt0 @ SV598 @ SV612 ) )
= $false )
| ( ( aNaturalNumber0 @ SV612 )
= $false )
| ( ( aNaturalNumber0 @ SV582 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV598 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7243]) ).
thf(7294,plain,
! [SV613: $i,SV502: $i,SV599: $i,SV583: $i] :
( ( ( SV583
= ( sdtasdt0 @ SV599 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV599 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV599 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV583 )
= ( sdtasdt0 @ SV599 @ SV613 ) )
= $false )
| ( ( aNaturalNumber0 @ SV613 )
= $false )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV599 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7244]) ).
thf(7295,plain,
! [SV613: $i,SV502: $i,SV583: $i,SV599: $i] :
( ( ( aNaturalNumber0 @ ( sK13_W3 @ SV599 @ SV583 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV599 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV583 ) @ SV599 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV599 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV583 )
= ( sdtasdt0 @ SV599 @ SV613 ) )
= $false )
| ( ( aNaturalNumber0 @ SV613 )
= $false )
| ( ( aNaturalNumber0 @ SV583 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV599 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7245]) ).
thf(7296,plain,
! [SV502: $i,SV601: $i,SV585: $i] :
( ( ( SV585
= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7246]) ).
thf(7297,plain,
! [SV502: $i,SV585: $i,SV601: $i] :
( ( ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV601 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7247]) ).
thf(7298,plain,
! [SV502: $i,SV601: $i,SV585: $i] :
( ( ( SV585
= ( sdtasdt0 @ SV601 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7248]) ).
thf(7299,plain,
! [SV502: $i,SV585: $i,SV601: $i] :
( ( ( aNaturalNumber0 @ ( sK11_W3 @ SV601 @ SV585 @ SV502 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK12_W3 @ SV601 @ SV585 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV585 ) @ SV601 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV601 )
= $false )
| ( ( doDivides0 @ SV601 @ ( sdtasdt0 @ SV502 @ SV585 ) )
= $false )
| ( ( aNaturalNumber0 @ SV585 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV601 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7249]) ).
thf(7300,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ( SV589
!= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7250]) ).
thf(7301,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7250]) ).
thf(7302,plain,
! [SV627: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SV627 ) )
| ~ ( aNaturalNumber0 @ SV627 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7251]) ).
thf(7303,plain,
! [SV589: $i,SV573: $i,SV502: $i,SV615: $i] :
( ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7252]) ).
thf(7304,plain,
! [SV619: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV619 ) )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7253]) ).
thf(7305,plain,
! [SV620: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV620 ) )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7254]) ).
thf(7306,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ( SV590
!= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) ) )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7255]) ).
thf(7307,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7255]) ).
thf(7308,plain,
! [SV628: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SV628 ) )
| ~ ( aNaturalNumber0 @ SV628 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7256]) ).
thf(7309,plain,
! [SV590: $i,SV574: $i,SV502: $i,SV616: $i] :
( ( ( aNaturalNumber0 @ SV616 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV616 ) )
= $false )
| ( ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7257]) ).
thf(7310,plain,
! [SV621: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV621 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV621 ) )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= sz10 )
= $false )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7258]) ).
thf(7311,plain,
! [SV622: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV622 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV622 ) )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= SV590 )
= $false )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7259]) ).
thf(7312,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ( SV591
!= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) ) )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7260]) ).
thf(7313,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7260]) ).
thf(7314,plain,
! [SV629: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SV629 ) )
| ~ ( aNaturalNumber0 @ SV629 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7261]) ).
thf(7315,plain,
! [SV591: $i,SV575: $i,SV502: $i,SV617: $i] :
( ( ( aNaturalNumber0 @ SV617 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV617 ) )
= $false )
| ( ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7262]) ).
thf(7316,plain,
! [SV623: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV623 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV623 ) )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= sz10 )
= $false )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7263]) ).
thf(7317,plain,
! [SV624: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV624 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV624 ) )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= SV591 )
= $false )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7264]) ).
thf(7318,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ( SV592
!= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) ) )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7265]) ).
thf(7319,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
= $false )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7265]) ).
thf(7320,plain,
! [SV630: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SV630 ) )
| ~ ( aNaturalNumber0 @ SV630 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7266]) ).
thf(7321,plain,
! [SV592: $i,SV576: $i,SV502: $i,SV618: $i] :
( ( ( aNaturalNumber0 @ SV618 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV618 ) )
= $false )
| ( ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7267]) ).
thf(7322,plain,
! [SV625: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV625 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV625 ) )
= $true )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= sz10 )
= $false )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7268]) ).
thf(7323,plain,
! [SV626: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV626 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV626 ) )
= $true )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= SV592 )
= $false )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7269]) ).
thf(7324,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ( SV593
!= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7270]) ).
thf(7325,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7270]) ).
thf(7326,plain,
! [SV577: $i,SV502: $i,SV593: $i] :
( ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7271]) ).
thf(7327,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7272]) ).
thf(7328,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7273]) ).
thf(7329,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7274]) ).
thf(7330,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ( SV594
!= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) ) )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7275]) ).
thf(7331,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7275]) ).
thf(7332,plain,
! [SV578: $i,SV502: $i,SV594: $i] :
( ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7276]) ).
thf(7333,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7277]) ).
thf(7334,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7278]) ).
thf(7335,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= SV594 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7279]) ).
thf(7336,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ( SV595
!= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) ) )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7280]) ).
thf(7337,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7280]) ).
thf(7338,plain,
! [SV579: $i,SV502: $i,SV595: $i] :
( ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7281]) ).
thf(7339,plain,
! [SV579: $i,SV502: $i,SV595: $i] :
( ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7282]) ).
thf(7340,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7283]) ).
thf(7341,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= SV595 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7284]) ).
thf(7342,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ( SV596
!= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) ) )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7285]) ).
thf(7343,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
= $false )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7285]) ).
thf(7344,plain,
! [SV580: $i,SV502: $i,SV596: $i] :
( ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7286]) ).
thf(7345,plain,
! [SV580: $i,SV502: $i,SV596: $i] :
( ( ( doDivides0 @ SV596 @ SV502 )
= $true )
| ( ( doDivides0 @ SV596 @ SV580 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ SV596 )
= $true )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7287]) ).
thf(7346,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7288]) ).
thf(7347,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
= SV596 )
= $false )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7289]) ).
thf(7348,plain,
! [SV611: $i,SV502: $i,SV597: $i,SV581: $i] :
( ( ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7290]) ).
thf(7349,plain,
! [SV611: $i,SV502: $i,SV597: $i,SV581: $i] :
( ( ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7291]) ).
thf(7350,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7300]) ).
thf(7351,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( SV589 = sz00 )
| ( SV589 = sz10 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7301]) ).
thf(7352,plain,
! [SV627: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SV627 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV627 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7302]) ).
thf(7353,plain,
! [SV615: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7303]) ).
thf(7354,plain,
! [SV589: $i,SV573: $i,SV502: $i,SV619: $i] :
( ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7304]) ).
thf(7355,plain,
! [SV589: $i,SV573: $i,SV502: $i,SV620: $i] :
( ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7305]) ).
thf(7356,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( SV590
= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7306]) ).
thf(7357,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( SV590 = sz00 )
| ( SV590 = sz10 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7307]) ).
thf(7358,plain,
! [SV628: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SV628 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV628 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7308]) ).
thf(7359,plain,
! [SV616: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV616 ) )
= $false )
| ( ( aNaturalNumber0 @ SV616 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7309]) ).
thf(7360,plain,
! [SV590: $i,SV574: $i,SV502: $i,SV621: $i] :
( ( ( aNaturalNumber0 @ SV621 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV621 ) )
= $false )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= sz10 )
= $false )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7310]) ).
thf(7361,plain,
! [SV590: $i,SV574: $i,SV502: $i,SV622: $i] :
( ( ( aNaturalNumber0 @ SV622 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV622 ) )
= $false )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= SV590 )
= $false )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7311]) ).
thf(7362,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( SV591
= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7312]) ).
thf(7363,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( SV591 = sz00 )
| ( SV591 = sz10 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7313]) ).
thf(7364,plain,
! [SV629: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SV629 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV629 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7314]) ).
thf(7365,plain,
! [SV617: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV617 ) )
= $false )
| ( ( aNaturalNumber0 @ SV617 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7315]) ).
thf(7366,plain,
! [SV591: $i,SV575: $i,SV502: $i,SV623: $i] :
( ( ( aNaturalNumber0 @ SV623 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV623 ) )
= $false )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= sz10 )
= $false )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7316]) ).
thf(7367,plain,
! [SV591: $i,SV575: $i,SV502: $i,SV624: $i] :
( ( ( aNaturalNumber0 @ SV624 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV624 ) )
= $false )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= SV591 )
= $false )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7317]) ).
thf(7368,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( SV592
= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
= $true )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7318]) ).
thf(7369,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( ( SV592 = sz00 )
| ( SV592 = sz10 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7319]) ).
thf(7370,plain,
! [SV630: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SV630 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV630 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7320]) ).
thf(7371,plain,
! [SV618: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV618 ) )
= $false )
| ( ( aNaturalNumber0 @ SV618 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7321]) ).
thf(7372,plain,
! [SV592: $i,SV576: $i,SV502: $i,SV625: $i] :
( ( ( aNaturalNumber0 @ SV625 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV625 ) )
= $false )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= sz10 )
= $false )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7322]) ).
thf(7373,plain,
! [SV592: $i,SV576: $i,SV502: $i,SV626: $i] :
( ( ( aNaturalNumber0 @ SV626 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV626 ) )
= $false )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= SV592 )
= $false )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7323]) ).
thf(7374,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7324]) ).
thf(7375,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( ( SV593 = sz00 )
| ( SV593 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7325]) ).
thf(7376,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7326]) ).
thf(7377,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7327]) ).
thf(7378,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7328]) ).
thf(7379,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7329]) ).
thf(7380,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( SV594
= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7330]) ).
thf(7381,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( ( SV594 = sz00 )
| ( SV594 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7331]) ).
thf(7382,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7332]) ).
thf(7383,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7333]) ).
thf(7384,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7334]) ).
thf(7385,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= SV594 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7335]) ).
thf(7386,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( SV595
= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7336]) ).
thf(7387,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( ( SV595 = sz00 )
| ( SV595 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7337]) ).
thf(7388,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7338]) ).
thf(7389,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7339]) ).
thf(7390,plain,
! [SV579: $i,SV502: $i,SV595: $i] :
( ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7340]) ).
thf(7391,plain,
! [SV579: $i,SV502: $i,SV595: $i] :
( ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= SV595 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7341]) ).
thf(7392,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( SV596
= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
= $true )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7342]) ).
thf(7393,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) )
= $true )
| ( ( ( SV596 = sz00 )
| ( SV596 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7343]) ).
thf(7394,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7344]) ).
thf(7395,plain,
! [SV580: $i,SV502: $i,SV596: $i] :
( ( ( doDivides0 @ SV596 @ SV502 )
= $true )
| ( ( doDivides0 @ SV596 @ SV580 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7346]) ).
thf(7396,plain,
! [SV580: $i,SV502: $i,SV596: $i] :
( ( ( doDivides0 @ SV596 @ SV502 )
= $true )
| ( ( doDivides0 @ SV596 @ SV580 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( ( sK17_W3 @ SV596 @ SV580 @ SV502 )
= SV596 )
= $false )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7347]) ).
thf(7397,plain,
! [SV611: $i,SV502: $i,SV597: $i,SV581: $i] :
( ( ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7348]) ).
thf(7398,plain,
! [SV611: $i,SV502: $i,SV581: $i,SV597: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7348]) ).
thf(7399,plain,
! [SV611: $i,SV502: $i,SV597: $i,SV581: $i] :
( ( ( ( SV581
!= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7349]) ).
thf(7400,plain,
! [SV611: $i,SV502: $i,SV581: $i,SV597: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7349]) ).
thf(7401,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7350]) ).
thf(7402,plain,
! [SV502: $i,SV573: $i,SV589: $i] :
( ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ! [SY678: $i] :
( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SY678 ) )
| ~ ( aNaturalNumber0 @ SY678 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7351]) ).
thf(7403,plain,
! [SV627: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV627 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7352]) ).
thf(7404,plain,
! [SV615: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7353]) ).
thf(7405,plain,
! [SV619: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7354]) ).
thf(7406,plain,
! [SV620: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7355]) ).
thf(7407,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590
= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7356]) ).
thf(7408,plain,
! [SV502: $i,SV574: $i,SV590: $i] :
( ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ! [SY679: $i] :
( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SY679 ) )
| ~ ( aNaturalNumber0 @ SY679 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7357]) ).
thf(7409,plain,
! [SV628: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV628 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV628 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7358]) ).
thf(7410,plain,
! [SV616: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV616 ) )
= $false )
| ( ( aNaturalNumber0 @ SV616 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7359]) ).
thf(7411,plain,
! [SV621: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV621 ) )
= $false )
| ( ( aNaturalNumber0 @ SV621 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7360]) ).
thf(7412,plain,
! [SV622: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= SV590 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV622 ) )
= $false )
| ( ( aNaturalNumber0 @ SV622 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7361]) ).
thf(7413,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591
= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7362]) ).
thf(7414,plain,
! [SV502: $i,SV575: $i,SV591: $i] :
( ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ! [SY680: $i] :
( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SY680 ) )
| ~ ( aNaturalNumber0 @ SY680 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7363]) ).
thf(7415,plain,
! [SV629: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV629 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV629 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7364]) ).
thf(7416,plain,
! [SV617: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV617 ) )
= $false )
| ( ( aNaturalNumber0 @ SV617 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7365]) ).
thf(7417,plain,
! [SV623: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV623 ) )
= $false )
| ( ( aNaturalNumber0 @ SV623 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7366]) ).
thf(7418,plain,
! [SV624: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= SV591 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV624 ) )
= $false )
| ( ( aNaturalNumber0 @ SV624 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7367]) ).
thf(7419,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592
= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7368]) ).
thf(7420,plain,
! [SV502: $i,SV576: $i,SV592: $i] :
( ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( ! [SY681: $i] :
( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SY681 ) )
| ~ ( aNaturalNumber0 @ SY681 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7369]) ).
thf(7421,plain,
! [SV630: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV630 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV630 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7370]) ).
thf(7422,plain,
! [SV618: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV618 ) )
= $false )
| ( ( aNaturalNumber0 @ SV618 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7371]) ).
thf(7423,plain,
! [SV625: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV625 ) )
= $false )
| ( ( aNaturalNumber0 @ SV625 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7372]) ).
thf(7424,plain,
! [SV626: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= SV592 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV626 ) )
= $false )
| ( ( aNaturalNumber0 @ SV626 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7373]) ).
thf(7425,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7374]) ).
thf(7426,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7375]) ).
thf(7427,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7376]) ).
thf(7428,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7377]) ).
thf(7429,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7377]) ).
thf(7430,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7378]) ).
thf(7431,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7379]) ).
thf(7432,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( SV594
= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7380]) ).
thf(7433,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7381]) ).
thf(7434,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7382]) ).
thf(7435,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7383]) ).
thf(7436,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7383]) ).
thf(7437,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7384]) ).
thf(7438,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= SV594 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7385]) ).
thf(7439,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( SV595
= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7386]) ).
thf(7440,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7387]) ).
thf(7441,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7388]) ).
thf(7442,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7389]) ).
thf(7443,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7389]) ).
thf(7444,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7390]) ).
thf(7445,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= SV595 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7391]) ).
thf(7446,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( SV596
= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7392]) ).
thf(7447,plain,
! [SV502: $i,SV580: $i,SV596: $i] :
( ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7393]) ).
thf(7448,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7394]) ).
thf(7449,plain,
! [SV611: $i,SV502: $i,SV597: $i,SV581: $i] :
( ( ( SV581
= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7397]) ).
thf(7450,plain,
! [SV611: $i,SV502: $i,SV581: $i,SV597: $i] :
( ( ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV597 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7398]) ).
thf(7451,plain,
! [SV611: $i,SV502: $i,SV597: $i,SV581: $i] :
( ( ( SV581
= ( sdtasdt0 @ SV597 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7399]) ).
thf(7452,plain,
! [SV611: $i,SV502: $i,SV581: $i,SV597: $i] :
( ( ( aNaturalNumber0 @ ( sK15_W3 @ SV597 @ SV581 @ SV502 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV597 @ SV581 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV581 ) @ SV597 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV597 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV581 )
= ( sdtasdt0 @ SV597 @ SV611 ) )
= $false )
| ( ( aNaturalNumber0 @ SV611 )
= $false )
| ( ( aNaturalNumber0 @ SV581 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV597 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7400]) ).
thf(7453,plain,
! [SV631: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SV631 ) )
| ~ ( aNaturalNumber0 @ SV631 ) )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7401]) ).
thf(7454,plain,
! [SV632: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SV632 ) )
| ~ ( aNaturalNumber0 @ SV632 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7402]) ).
thf(7455,plain,
! [SV589: $i,SV573: $i,SV502: $i,SV627: $i] :
( ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7403]) ).
thf(7456,plain,
! [SV615: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7404]) ).
thf(7457,plain,
! [SV619: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7405]) ).
thf(7458,plain,
! [SV620: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7406]) ).
thf(7459,plain,
! [SV633: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SV633 ) )
| ~ ( aNaturalNumber0 @ SV633 ) )
= $true )
| ( ( SV590
= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7407]) ).
thf(7460,plain,
! [SV634: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SV634 ) )
| ~ ( aNaturalNumber0 @ SV634 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7408]) ).
thf(7461,plain,
! [SV590: $i,SV574: $i,SV502: $i,SV628: $i] :
( ( ( aNaturalNumber0 @ SV628 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV628 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7409]) ).
thf(7462,plain,
! [SV616: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV616 ) )
= $false )
| ( ( aNaturalNumber0 @ SV616 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7410]) ).
thf(7463,plain,
! [SV621: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV621 ) )
= $false )
| ( ( aNaturalNumber0 @ SV621 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7411]) ).
thf(7464,plain,
! [SV622: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= SV590 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV622 ) )
= $false )
| ( ( aNaturalNumber0 @ SV622 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7412]) ).
thf(7465,plain,
! [SV635: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SV635 ) )
| ~ ( aNaturalNumber0 @ SV635 ) )
= $true )
| ( ( SV591
= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7413]) ).
thf(7466,plain,
! [SV636: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SV636 ) )
| ~ ( aNaturalNumber0 @ SV636 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7414]) ).
thf(7467,plain,
! [SV591: $i,SV575: $i,SV502: $i,SV629: $i] :
( ( ( aNaturalNumber0 @ SV629 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV629 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7415]) ).
thf(7468,plain,
! [SV617: $i,SV575: $i,SV502: $i,SV591: $i] :
( ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV617 ) )
= $false )
| ( ( aNaturalNumber0 @ SV617 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7416]) ).
thf(7469,plain,
! [SV623: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV623 ) )
= $false )
| ( ( aNaturalNumber0 @ SV623 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7417]) ).
thf(7470,plain,
! [SV624: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= SV591 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV624 ) )
= $false )
| ( ( aNaturalNumber0 @ SV624 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7418]) ).
thf(7471,plain,
! [SV637: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SV637 ) )
| ~ ( aNaturalNumber0 @ SV637 ) )
= $true )
| ( ( SV592
= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7419]) ).
thf(7472,plain,
! [SV638: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SV638 ) )
| ~ ( aNaturalNumber0 @ SV638 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[7420]) ).
thf(7473,plain,
! [SV592: $i,SV576: $i,SV502: $i,SV630: $i] :
( ( ( aNaturalNumber0 @ SV630 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV630 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7421]) ).
thf(7474,plain,
! [SV618: $i,SV576: $i,SV502: $i,SV592: $i] :
( ( ( doDivides0 @ SV592 @ SV502 )
= $true )
| ( ( doDivides0 @ SV592 @ SV576 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ SV592 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV618 ) )
= $false )
| ( ( aNaturalNumber0 @ SV618 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7422]) ).
thf(7475,plain,
! [SV625: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV625 ) )
= $false )
| ( ( aNaturalNumber0 @ SV625 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7423]) ).
thf(7476,plain,
! [SV626: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= SV592 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV626 ) )
= $false )
| ( ( aNaturalNumber0 @ SV626 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7424]) ).
thf(7477,plain,
! [SV577: $i,SV502: $i,SV593: $i] :
( ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7425]) ).
thf(7478,plain,
! [SV577: $i,SV502: $i,SV593: $i] :
( ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7426]) ).
thf(7479,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7427]) ).
thf(7480,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7428]) ).
thf(7481,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7429]) ).
thf(7482,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7430]) ).
thf(7483,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7430]) ).
thf(7484,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7431]) ).
thf(7485,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7431]) ).
thf(7486,plain,
! [SV578: $i,SV502: $i,SV594: $i] :
( ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( SV594
= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7432]) ).
thf(7487,plain,
! [SV578: $i,SV502: $i,SV594: $i] :
( ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7433]) ).
thf(7488,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7434]) ).
thf(7489,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7435]) ).
thf(7490,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ SV594 )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7436]) ).
thf(7491,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7437]) ).
thf(7492,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7437]) ).
thf(7493,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= SV594 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7438]) ).
thf(7494,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= SV594 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7438]) ).
thf(7495,plain,
! [SV579: $i,SV502: $i,SV595: $i] :
( ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( SV595
= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7439]) ).
thf(7496,plain,
! [SV579: $i,SV502: $i,SV595: $i] :
( ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7440]) ).
thf(7497,plain,
! [SV579: $i,SV502: $i,SV595: $i] :
( ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7441]) ).
thf(7498,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( SV579
= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7442]) ).
thf(7499,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ SV595 )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7443]) ).
thf(7500,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7444]) ).
thf(7501,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7444]) ).
thf(7502,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= SV595 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7445]) ).
thf(7503,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= SV595 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7445]) ).
thf(7504,plain,
! [SV580: $i,SV502: $i,SV596: $i] :
( ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( SV596
= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7446]) ).
thf(7505,plain,
! [SV580: $i,SV502: $i,SV596: $i] :
( ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7447]) ).
thf(7506,plain,
! [SV580: $i,SV502: $i,SV596: $i] :
( ( ( doDivides0 @ SV596 @ SV502 )
= $true )
| ( ( doDivides0 @ SV596 @ SV580 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7448]) ).
thf(7507,plain,
! [SV631: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SV631 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV631 ) )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7453]) ).
thf(7508,plain,
! [SV632: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV573 )
!= ( sdtasdt0 @ SV589 @ SV632 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV632 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7454]) ).
thf(7509,plain,
! [SV627: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7455]) ).
thf(7510,plain,
! [SV615: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7456]) ).
thf(7511,plain,
! [SV619: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7457]) ).
thf(7512,plain,
! [SV620: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7458]) ).
thf(7513,plain,
! [SV633: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SV633 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV633 ) )
= $true )
| ( ( SV590
= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7459]) ).
thf(7514,plain,
! [SV634: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV574 )
!= ( sdtasdt0 @ SV590 @ SV634 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV634 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7460]) ).
thf(7515,plain,
! [SV628: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV628 ) )
= $false )
| ( ( aNaturalNumber0 @ SV628 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7461]) ).
thf(7516,plain,
! [SV616: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV616 ) )
= $false )
| ( ( aNaturalNumber0 @ SV616 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7462]) ).
thf(7517,plain,
! [SV621: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV621 ) )
= $false )
| ( ( aNaturalNumber0 @ SV621 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7463]) ).
thf(7518,plain,
! [SV622: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= SV590 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV622 ) )
= $false )
| ( ( aNaturalNumber0 @ SV622 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7464]) ).
thf(7519,plain,
! [SV635: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SV635 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV635 ) )
= $true )
| ( ( SV591
= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7465]) ).
thf(7520,plain,
! [SV636: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV575 )
!= ( sdtasdt0 @ SV591 @ SV636 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV636 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7466]) ).
thf(7521,plain,
! [SV629: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV629 ) )
= $false )
| ( ( aNaturalNumber0 @ SV629 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7467]) ).
thf(7522,plain,
! [SV617: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV617 ) )
= $false )
| ( ( aNaturalNumber0 @ SV617 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7468]) ).
thf(7523,plain,
! [SV623: $i,SV575: $i,SV502: $i,SV591: $i] :
( ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV623 ) )
= $false )
| ( ( aNaturalNumber0 @ SV623 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7469]) ).
thf(7524,plain,
! [SV624: $i,SV575: $i,SV502: $i,SV591: $i] :
( ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= SV591 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV624 ) )
= $false )
| ( ( aNaturalNumber0 @ SV624 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7470]) ).
thf(7525,plain,
! [SV637: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SV637 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV637 ) )
= $true )
| ( ( SV592
= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7471]) ).
thf(7526,plain,
! [SV638: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( ( sdtasdt0 @ SV502 @ SV576 )
!= ( sdtasdt0 @ SV592 @ SV638 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV638 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7472]) ).
thf(7527,plain,
! [SV630: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV630 ) )
= $false )
| ( ( aNaturalNumber0 @ SV630 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7473]) ).
thf(7528,plain,
! [SV625: $i,SV576: $i,SV502: $i,SV592: $i] :
( ( ( doDivides0 @ SV592 @ SV502 )
= $true )
| ( ( doDivides0 @ SV592 @ SV576 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV625 ) )
= $false )
| ( ( aNaturalNumber0 @ SV625 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7475]) ).
thf(7529,plain,
! [SV626: $i,SV576: $i,SV502: $i,SV592: $i] :
( ( ( doDivides0 @ SV592 @ SV502 )
= $true )
| ( ( doDivides0 @ SV592 @ SV576 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( ( sK29_W3 @ SV592 @ SV576 @ SV502 )
= SV592 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV626 ) )
= $false )
| ( ( aNaturalNumber0 @ SV626 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7476]) ).
thf(7530,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7477]) ).
thf(7531,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7478]) ).
thf(7532,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7479]) ).
thf(7533,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7480]) ).
thf(7534,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7481]) ).
thf(7535,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7482]) ).
thf(7536,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7483]) ).
thf(7537,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7484]) ).
thf(7538,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7485]) ).
thf(7539,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( SV594
= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7486]) ).
thf(7540,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7487]) ).
thf(7541,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7488]) ).
thf(7542,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7491]) ).
thf(7543,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7492]) ).
thf(7544,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= SV594 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7493]) ).
thf(7545,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( ( sK23_W3 @ SV594 @ SV578 @ SV502 )
= SV594 )
= $false )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7494]) ).
thf(7546,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( SV595
= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7495]) ).
thf(7547,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7496]) ).
thf(7548,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7497]) ).
thf(7549,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( SV579
= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7500]) ).
thf(7550,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7501]) ).
thf(7551,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( SV579
= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= SV595 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7502]) ).
thf(7552,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( ( sK20_W3 @ SV595 @ SV579 @ SV502 )
= SV595 )
= $false )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7503]) ).
thf(7553,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( SV596
= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7504]) ).
thf(7554,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7505]) ).
thf(7555,plain,
! [SV631: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV631 ) )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7507]) ).
thf(7556,plain,
! [SV632: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV632 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7508]) ).
thf(7557,plain,
! [SV627: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7509]) ).
thf(7558,plain,
! [SV615: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7510]) ).
thf(7559,plain,
! [SV615: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7510]) ).
thf(7560,plain,
! [SV619: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7511]) ).
thf(7561,plain,
! [SV620: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7512]) ).
thf(7562,plain,
! [SV633: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV633 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV633 ) )
= $true )
| ( ( SV590
= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7513]) ).
thf(7563,plain,
! [SV634: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV634 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV634 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7514]) ).
thf(7564,plain,
! [SV628: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV628 ) )
= $false )
| ( ( aNaturalNumber0 @ SV628 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7515]) ).
thf(7565,plain,
! [SV616: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV616 ) )
= $false )
| ( ( aNaturalNumber0 @ SV616 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7516]) ).
thf(7566,plain,
! [SV616: $i,SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV616 ) )
= $false )
| ( ( aNaturalNumber0 @ SV616 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7516]) ).
thf(7567,plain,
! [SV621: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV621 ) )
= $false )
| ( ( aNaturalNumber0 @ SV621 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7517]) ).
thf(7568,plain,
! [SV622: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= SV590 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV622 ) )
= $false )
| ( ( aNaturalNumber0 @ SV622 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7518]) ).
thf(7569,plain,
! [SV635: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV635 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV635 ) )
= $true )
| ( ( SV591
= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7519]) ).
thf(7570,plain,
! [SV636: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV636 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV636 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7520]) ).
thf(7571,plain,
! [SV629: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV629 ) )
= $false )
| ( ( aNaturalNumber0 @ SV629 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7521]) ).
thf(7572,plain,
! [SV617: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV617 ) )
= $false )
| ( ( aNaturalNumber0 @ SV617 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7522]) ).
thf(7573,plain,
! [SV617: $i,SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV617 ) )
= $false )
| ( ( aNaturalNumber0 @ SV617 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7522]) ).
thf(7574,plain,
! [SV623: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV623 ) )
= $false )
| ( ( aNaturalNumber0 @ SV623 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7523]) ).
thf(7575,plain,
! [SV624: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= SV591 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV624 ) )
= $false )
| ( ( aNaturalNumber0 @ SV624 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7524]) ).
thf(7576,plain,
! [SV637: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV637 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV637 ) )
= $true )
| ( ( SV592
= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7525]) ).
thf(7577,plain,
! [SV638: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV638 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV638 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7526]) ).
thf(7578,plain,
! [SV630: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV630 ) )
= $false )
| ( ( aNaturalNumber0 @ SV630 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7527]) ).
thf(7579,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7530]) ).
thf(7580,plain,
! [SV593: $i,SV577: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7531]) ).
thf(7581,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7532]) ).
thf(7582,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7532]) ).
thf(7583,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7533]) ).
thf(7584,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7533]) ).
thf(7585,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7534]) ).
thf(7586,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7534]) ).
thf(7587,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7535]) ).
thf(7588,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7536]) ).
thf(7589,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7537]) ).
thf(7590,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7538]) ).
thf(7591,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( SV594
= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7539]) ).
thf(7592,plain,
! [SV594: $i,SV578: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ( doDivides0 @ SV594 @ SV578 ) )
= $true )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7540]) ).
thf(7593,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7541]) ).
thf(7594,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7541]) ).
thf(7595,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( SV595
= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7546]) ).
thf(7596,plain,
! [SV595: $i,SV579: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV595 @ SV502 )
| ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7547]) ).
thf(7597,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7548]) ).
thf(7598,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7548]) ).
thf(7599,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( SV596
= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7553]) ).
thf(7600,plain,
! [SV596: $i,SV580: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV596 @ SV502 )
| ( doDivides0 @ SV596 @ SV580 ) )
= $true )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7554]) ).
thf(7601,plain,
! [SV589: $i,SV573: $i,SV502: $i,SV631: $i] :
( ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7555]) ).
thf(7602,plain,
! [SV589: $i,SV573: $i,SV502: $i,SV632: $i] :
( ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7556]) ).
thf(7603,plain,
! [SV627: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7557]) ).
thf(7604,plain,
! [SV615: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7558]) ).
thf(7605,plain,
! [SV615: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7559]) ).
thf(7606,plain,
! [SV619: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7560]) ).
thf(7607,plain,
! [SV619: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7560]) ).
thf(7608,plain,
! [SV620: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7561]) ).
thf(7609,plain,
! [SV620: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7561]) ).
thf(7610,plain,
! [SV590: $i,SV574: $i,SV502: $i,SV633: $i] :
( ( ( aNaturalNumber0 @ SV633 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV633 ) )
= $false )
| ( ( SV590
= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7562]) ).
thf(7611,plain,
! [SV590: $i,SV574: $i,SV502: $i,SV634: $i] :
( ( ( aNaturalNumber0 @ SV634 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV634 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7563]) ).
thf(7612,plain,
! [SV628: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV628 ) )
= $false )
| ( ( aNaturalNumber0 @ SV628 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7564]) ).
thf(7613,plain,
! [SV616: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV616 ) )
= $false )
| ( ( aNaturalNumber0 @ SV616 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7565]) ).
thf(7614,plain,
! [SV616: $i,SV502: $i,SV574: $i,SV590: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ SV590 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV616 ) )
= $false )
| ( ( aNaturalNumber0 @ SV616 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7566]) ).
thf(7615,plain,
! [SV621: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV621 ) )
= $false )
| ( ( aNaturalNumber0 @ SV621 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7567]) ).
thf(7616,plain,
! [SV621: $i,SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV621 ) )
= $false )
| ( ( aNaturalNumber0 @ SV621 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7567]) ).
thf(7617,plain,
! [SV622: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= SV590 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV622 ) )
= $false )
| ( ( aNaturalNumber0 @ SV622 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7568]) ).
thf(7618,plain,
! [SV622: $i,SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= SV590 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV622 ) )
= $false )
| ( ( aNaturalNumber0 @ SV622 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7568]) ).
thf(7619,plain,
! [SV591: $i,SV575: $i,SV502: $i,SV635: $i] :
( ( ( aNaturalNumber0 @ SV635 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV635 ) )
= $false )
| ( ( SV591
= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7569]) ).
thf(7620,plain,
! [SV591: $i,SV575: $i,SV502: $i,SV636: $i] :
( ( ( aNaturalNumber0 @ SV636 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV636 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7570]) ).
thf(7621,plain,
! [SV629: $i,SV575: $i,SV502: $i,SV591: $i] :
( ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV629 ) )
= $false )
| ( ( aNaturalNumber0 @ SV629 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7571]) ).
thf(7622,plain,
! [SV617: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( SV575
= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV617 ) )
= $false )
| ( ( aNaturalNumber0 @ SV617 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7572]) ).
thf(7623,plain,
! [SV617: $i,SV502: $i,SV575: $i,SV591: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ SV591 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV617 ) )
= $false )
| ( ( aNaturalNumber0 @ SV617 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7573]) ).
thf(7624,plain,
! [SV623: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV623 ) )
= $false )
| ( ( aNaturalNumber0 @ SV623 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7574]) ).
thf(7625,plain,
! [SV623: $i,SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV623 ) )
= $false )
| ( ( aNaturalNumber0 @ SV623 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7574]) ).
thf(7626,plain,
! [SV624: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= SV591 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV624 ) )
= $false )
| ( ( aNaturalNumber0 @ SV624 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7575]) ).
thf(7627,plain,
! [SV624: $i,SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= SV591 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV624 ) )
= $false )
| ( ( aNaturalNumber0 @ SV624 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7575]) ).
thf(7628,plain,
! [SV592: $i,SV576: $i,SV502: $i,SV637: $i] :
( ( ( aNaturalNumber0 @ SV637 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV637 ) )
= $false )
| ( ( SV592
= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7576]) ).
thf(7629,plain,
! [SV592: $i,SV576: $i,SV502: $i,SV638: $i] :
( ( ( aNaturalNumber0 @ SV638 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV638 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7577]) ).
thf(7630,plain,
! [SV630: $i,SV576: $i,SV502: $i,SV592: $i] :
( ( ( doDivides0 @ SV592 @ SV502 )
= $true )
| ( ( doDivides0 @ SV592 @ SV576 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV630 ) )
= $false )
| ( ( aNaturalNumber0 @ SV630 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7578]) ).
thf(7631,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7579]) ).
thf(7632,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7580]) ).
thf(7633,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7581]) ).
thf(7634,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7582]) ).
thf(7635,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( SV577
= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7583]) ).
thf(7636,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7584]) ).
thf(7637,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( SV577
= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7585]) ).
thf(7638,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ SV593 )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7586]) ).
thf(7639,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7587]) ).
thf(7640,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7587]) ).
thf(7641,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7588]) ).
thf(7642,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7588]) ).
thf(7643,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7589]) ).
thf(7644,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7589]) ).
thf(7645,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7590]) ).
thf(7646,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7590]) ).
thf(7647,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( SV594
= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7591]) ).
thf(7648,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7592]) ).
thf(7649,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7593]) ).
thf(7650,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7594]) ).
thf(7651,plain,
! [SV579: $i,SV502: $i,SV595: $i] :
( ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( SV595
= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7595]) ).
thf(7652,plain,
! [SV579: $i,SV502: $i,SV595: $i] :
( ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( ~ ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7596]) ).
thf(7653,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( SV579
= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7597]) ).
thf(7654,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7598]) ).
thf(7655,plain,
! [SV580: $i,SV502: $i,SV596: $i] :
( ( ( doDivides0 @ SV596 @ SV502 )
= $true )
| ( ( doDivides0 @ SV596 @ SV580 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( SV596
= ( sdtasdt0 @ ( sK17_W3 @ SV596 @ SV580 @ SV502 ) @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7599]) ).
thf(7656,plain,
! [SV580: $i,SV502: $i,SV596: $i] :
( ( ( doDivides0 @ SV596 @ SV502 )
= $true )
| ( ( doDivides0 @ SV596 @ SV580 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV580 ) @ SV596 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV596 = sz00 )
= $true )
| ( ( SV596 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK18_SY91 @ SV596 @ SV580 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV596 @ ( sdtasdt0 @ SV502 @ SV580 ) )
= $false )
| ( ( aNaturalNumber0 @ SV580 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV596 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7600]) ).
thf(7657,plain,
! [SV631: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7601]) ).
thf(7658,plain,
! [SV632: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7602]) ).
thf(7659,plain,
! [SV627: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7603]) ).
thf(7660,plain,
! [SV615: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7604]) ).
thf(7661,plain,
! [SV615: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7605]) ).
thf(7662,plain,
! [SV619: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7606]) ).
thf(7663,plain,
! [SV619: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7607]) ).
thf(7664,plain,
! [SV620: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7608]) ).
thf(7665,plain,
! [SV620: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7609]) ).
thf(7666,plain,
! [SV633: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590
= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV633 ) )
= $false )
| ( ( aNaturalNumber0 @ SV633 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7610]) ).
thf(7667,plain,
! [SV634: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV634 ) )
= $false )
| ( ( aNaturalNumber0 @ SV634 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7611]) ).
thf(7668,plain,
! [SV628: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV628 ) )
= $false )
| ( ( aNaturalNumber0 @ SV628 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7612]) ).
thf(7669,plain,
! [SV621: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV621 ) )
= $false )
| ( ( aNaturalNumber0 @ SV621 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7615]) ).
thf(7670,plain,
! [SV621: $i,SV502: $i,SV574: $i,SV590: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV621 ) )
= $false )
| ( ( aNaturalNumber0 @ SV621 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7616]) ).
thf(7671,plain,
! [SV622: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= SV590 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV622 ) )
= $false )
| ( ( aNaturalNumber0 @ SV622 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7617]) ).
thf(7672,plain,
! [SV622: $i,SV502: $i,SV574: $i,SV590: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( ( sK35_W3 @ SV590 @ SV574 @ SV502 )
= SV590 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV622 ) )
= $false )
| ( ( aNaturalNumber0 @ SV622 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7618]) ).
thf(7673,plain,
! [SV635: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591
= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV635 ) )
= $false )
| ( ( aNaturalNumber0 @ SV635 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7619]) ).
thf(7674,plain,
! [SV636: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV636 ) )
= $false )
| ( ( aNaturalNumber0 @ SV636 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7620]) ).
thf(7675,plain,
! [SV629: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV629 ) )
= $false )
| ( ( aNaturalNumber0 @ SV629 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7621]) ).
thf(7676,plain,
! [SV623: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( SV575
= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV623 ) )
= $false )
| ( ( aNaturalNumber0 @ SV623 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7624]) ).
thf(7677,plain,
! [SV623: $i,SV502: $i,SV575: $i,SV591: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV623 ) )
= $false )
| ( ( aNaturalNumber0 @ SV623 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7625]) ).
thf(7678,plain,
! [SV624: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( SV575
= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= SV591 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV624 ) )
= $false )
| ( ( aNaturalNumber0 @ SV624 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7626]) ).
thf(7679,plain,
! [SV624: $i,SV502: $i,SV575: $i,SV591: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( ( sK32_W3 @ SV591 @ SV575 @ SV502 )
= SV591 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV624 ) )
= $false )
| ( ( aNaturalNumber0 @ SV624 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7627]) ).
thf(7680,plain,
! [SV637: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592
= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV637 ) )
= $false )
| ( ( aNaturalNumber0 @ SV637 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7628]) ).
thf(7681,plain,
! [SV638: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV638 ) )
= $false )
| ( ( aNaturalNumber0 @ SV638 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7629]) ).
thf(7682,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7631]) ).
thf(7683,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7632]) ).
thf(7684,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7633]) ).
thf(7685,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7634]) ).
thf(7686,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( SV577
= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7639]) ).
thf(7687,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7640]) ).
thf(7688,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( SV577
= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7641]) ).
thf(7689,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7642]) ).
thf(7690,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( SV577
= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7643]) ).
thf(7691,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7644]) ).
thf(7692,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( SV577
= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7645]) ).
thf(7693,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( ( sK27_W3 @ SV593 @ SV577 @ SV502 )
= SV593 )
= $false )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7646]) ).
thf(7694,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( SV594
= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7647]) ).
thf(7695,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7648]) ).
thf(7696,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( SV595
= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7651]) ).
thf(7697,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7652]) ).
thf(7698,plain,
! [SV631: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7657]) ).
thf(7699,plain,
! [SV632: $i,SV589: $i,SV573: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7658]) ).
thf(7700,plain,
! [SV627: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7659]) ).
thf(7701,plain,
! [SV627: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7659]) ).
thf(7702,plain,
! [SV615: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7660]) ).
thf(7703,plain,
! [SV615: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7660]) ).
thf(7704,plain,
! [SV615: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7661]) ).
thf(7705,plain,
! [SV615: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7661]) ).
thf(7706,plain,
! [SV619: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7662]) ).
thf(7707,plain,
! [SV619: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7663]) ).
thf(7708,plain,
! [SV620: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7664]) ).
thf(7709,plain,
! [SV620: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7665]) ).
thf(7710,plain,
! [SV633: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590
= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV633 ) )
= $false )
| ( ( aNaturalNumber0 @ SV633 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7666]) ).
thf(7711,plain,
! [SV634: $i,SV590: $i,SV574: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ( doDivides0 @ SV590 @ SV574 ) )
= $true )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV634 ) )
= $false )
| ( ( aNaturalNumber0 @ SV634 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7667]) ).
thf(7712,plain,
! [SV628: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV628 ) )
= $false )
| ( ( aNaturalNumber0 @ SV628 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7668]) ).
thf(7713,plain,
! [SV628: $i,SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV628 ) )
= $false )
| ( ( aNaturalNumber0 @ SV628 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7668]) ).
thf(7714,plain,
! [SV635: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591
= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV635 ) )
= $false )
| ( ( aNaturalNumber0 @ SV635 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7673]) ).
thf(7715,plain,
! [SV636: $i,SV591: $i,SV575: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV591 @ SV502 )
| ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV636 ) )
= $false )
| ( ( aNaturalNumber0 @ SV636 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7674]) ).
thf(7716,plain,
! [SV629: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV629 ) )
= $false )
| ( ( aNaturalNumber0 @ SV629 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7675]) ).
thf(7717,plain,
! [SV629: $i,SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV629 ) )
= $false )
| ( ( aNaturalNumber0 @ SV629 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7675]) ).
thf(7718,plain,
! [SV637: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592
= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV637 ) )
= $false )
| ( ( aNaturalNumber0 @ SV637 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7680]) ).
thf(7719,plain,
! [SV638: $i,SV592: $i,SV576: $i,SV502: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV592 @ SV502 )
| ( doDivides0 @ SV592 @ SV576 ) )
= $true )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV638 ) )
= $false )
| ( ( aNaturalNumber0 @ SV638 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7681]) ).
thf(7720,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7682]) ).
thf(7721,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7682]) ).
thf(7722,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7683]) ).
thf(7723,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7683]) ).
thf(7724,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7684]) ).
thf(7725,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7684]) ).
thf(7726,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7685]) ).
thf(7727,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7685]) ).
thf(7728,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( SV594
= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7694]) ).
thf(7729,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( SV594
= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7694]) ).
thf(7730,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7695]) ).
thf(7731,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7695]) ).
thf(7732,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( SV595
= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7696]) ).
thf(7733,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( SV595
= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7696]) ).
thf(7734,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( ( SV579
!= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7697]) ).
thf(7735,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7697]) ).
thf(7736,plain,
! [SV631: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7698]) ).
thf(7737,plain,
! [SV632: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7699]) ).
thf(7738,plain,
! [SV627: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7700]) ).
thf(7739,plain,
! [SV627: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7701]) ).
thf(7740,plain,
! [SV615: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( SV573
= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7702]) ).
thf(7741,plain,
! [SV615: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7703]) ).
thf(7742,plain,
! [SV615: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( SV573
= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7704]) ).
thf(7743,plain,
! [SV615: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ SV589 )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV615 ) )
= $false )
| ( ( aNaturalNumber0 @ SV615 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7705]) ).
thf(7744,plain,
! [SV619: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7706]) ).
thf(7745,plain,
! [SV619: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7706]) ).
thf(7746,plain,
! [SV619: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7707]) ).
thf(7747,plain,
! [SV619: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7707]) ).
thf(7748,plain,
! [SV620: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7708]) ).
thf(7749,plain,
! [SV620: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7708]) ).
thf(7750,plain,
! [SV620: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7709]) ).
thf(7751,plain,
! [SV620: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7709]) ).
thf(7752,plain,
! [SV633: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590
= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV633 ) )
= $false )
| ( ( aNaturalNumber0 @ SV633 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7710]) ).
thf(7753,plain,
! [SV634: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ~ ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV634 ) )
= $false )
| ( ( aNaturalNumber0 @ SV634 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7711]) ).
thf(7754,plain,
! [SV628: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV628 ) )
= $false )
| ( ( aNaturalNumber0 @ SV628 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7712]) ).
thf(7755,plain,
! [SV628: $i,SV502: $i,SV574: $i,SV590: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV628 ) )
= $false )
| ( ( aNaturalNumber0 @ SV628 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7713]) ).
thf(7756,plain,
! [SV635: $i,SV575: $i,SV502: $i,SV591: $i] :
( ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591
= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV635 ) )
= $false )
| ( ( aNaturalNumber0 @ SV635 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7714]) ).
thf(7757,plain,
! [SV636: $i,SV575: $i,SV502: $i,SV591: $i] :
( ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( ~ ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV636 ) )
= $false )
| ( ( aNaturalNumber0 @ SV636 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7715]) ).
thf(7758,plain,
! [SV629: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( SV575
= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV629 ) )
= $false )
| ( ( aNaturalNumber0 @ SV629 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7716]) ).
thf(7759,plain,
! [SV629: $i,SV502: $i,SV575: $i,SV591: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV629 ) )
= $false )
| ( ( aNaturalNumber0 @ SV629 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7717]) ).
thf(7760,plain,
! [SV637: $i,SV576: $i,SV502: $i,SV592: $i] :
( ( ( doDivides0 @ SV592 @ SV502 )
= $true )
| ( ( doDivides0 @ SV592 @ SV576 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( SV592
= ( sdtasdt0 @ ( sK29_W3 @ SV592 @ SV576 @ SV502 ) @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV637 ) )
= $false )
| ( ( aNaturalNumber0 @ SV637 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7718]) ).
thf(7761,plain,
! [SV638: $i,SV576: $i,SV502: $i,SV592: $i] :
( ( ( doDivides0 @ SV592 @ SV502 )
= $true )
| ( ( doDivides0 @ SV592 @ SV576 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV576 ) @ SV592 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV592 = sz00 )
= $true )
| ( ( SV592 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK30_SY95 @ SV592 @ SV576 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV576 )
= ( sdtasdt0 @ SV592 @ SV638 ) )
= $false )
| ( ( aNaturalNumber0 @ SV638 )
= $false )
| ( ( aNaturalNumber0 @ SV576 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV592 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[7719]) ).
thf(7762,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7720]) ).
thf(7763,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7721]) ).
thf(7764,plain,
! [SV577: $i,SV593: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7722]) ).
thf(7765,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( ~ ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7723]) ).
thf(7766,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( SV577
= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7724]) ).
thf(7767,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7725]) ).
thf(7768,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( SV577
= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7726]) ).
thf(7769,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7727]) ).
thf(7770,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( SV594
= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7728]) ).
thf(7771,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( SV594
= ( sdtasdt0 @ ( sK23_W3 @ SV594 @ SV578 @ SV502 ) @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7729]) ).
thf(7772,plain,
! [SV578: $i,SV594: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV594 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7730]) ).
thf(7773,plain,
! [SV502: $i,SV578: $i,SV594: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ SV578 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV578 ) @ SV594 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV594 = sz00 )
= $true )
| ( ( SV594 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK24_SY93 @ SV594 @ SV578 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV594 @ ( sdtasdt0 @ SV502 @ SV578 ) )
= $false )
| ( ( aNaturalNumber0 @ SV578 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV594 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7731]) ).
thf(7774,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( SV579
= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( SV595
= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7732]) ).
thf(7775,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( SV595
= ( sdtasdt0 @ ( sK20_W3 @ SV595 @ SV579 @ SV502 ) @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7733]) ).
thf(7776,plain,
! [SV502: $i,SV595: $i,SV579: $i] :
( ( ( SV579
= ( sdtasdt0 @ SV595 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7734]) ).
thf(7777,plain,
! [SV502: $i,SV579: $i,SV595: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV579 ) @ SV595 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV595 = sz00 )
= $true )
| ( ( SV595 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK21_SY92 @ SV595 @ SV579 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV595 @ ( sdtasdt0 @ SV502 @ SV579 ) )
= $false )
| ( ( aNaturalNumber0 @ SV579 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV595 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7735]) ).
thf(7778,plain,
! [SV631: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7736]) ).
thf(7779,plain,
! [SV632: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7737]) ).
thf(7780,plain,
! [SV627: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7738]) ).
thf(7781,plain,
! [SV627: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7739]) ).
thf(7782,plain,
! [SV619: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( SV573
= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7744]) ).
thf(7783,plain,
! [SV619: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7745]) ).
thf(7784,plain,
! [SV619: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( SV573
= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7746]) ).
thf(7785,plain,
! [SV619: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV619 ) )
= $false )
| ( ( aNaturalNumber0 @ SV619 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7747]) ).
thf(7786,plain,
! [SV620: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( SV573
= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7748]) ).
thf(7787,plain,
! [SV620: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7749]) ).
thf(7788,plain,
! [SV620: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( SV573
= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7750]) ).
thf(7789,plain,
! [SV620: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( ( sK39_W3 @ SV589 @ SV573 @ SV502 )
= SV589 )
= $false )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV620 ) )
= $false )
| ( ( aNaturalNumber0 @ SV620 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7751]) ).
thf(7790,plain,
! [SV633: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590
= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV633 ) )
= $false )
| ( ( aNaturalNumber0 @ SV633 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7752]) ).
thf(7791,plain,
! [SV634: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV634 ) )
= $false )
| ( ( aNaturalNumber0 @ SV634 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7753]) ).
thf(7792,plain,
! [SV635: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591
= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV635 ) )
= $false )
| ( ( aNaturalNumber0 @ SV635 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7756]) ).
thf(7793,plain,
! [SV636: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV636 ) )
= $false )
| ( ( aNaturalNumber0 @ SV636 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7757]) ).
thf(7794,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7762]) ).
thf(7795,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7763]) ).
thf(7796,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7764]) ).
thf(7797,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7765]) ).
thf(7798,plain,
! [SV631: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7778]) ).
thf(7799,plain,
! [SV631: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7778]) ).
thf(7800,plain,
! [SV632: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7779]) ).
thf(7801,plain,
! [SV632: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7779]) ).
thf(7802,plain,
! [SV627: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7780]) ).
thf(7803,plain,
! [SV627: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7780]) ).
thf(7804,plain,
! [SV627: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7781]) ).
thf(7805,plain,
! [SV627: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7781]) ).
thf(7806,plain,
! [SV633: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590
= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV633 ) )
= $false )
| ( ( aNaturalNumber0 @ SV633 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7790]) ).
thf(7807,plain,
! [SV633: $i,SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590
= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV633 ) )
= $false )
| ( ( aNaturalNumber0 @ SV633 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7790]) ).
thf(7808,plain,
! [SV634: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( ( SV502
!= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV634 ) )
= $false )
| ( ( aNaturalNumber0 @ SV634 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7791]) ).
thf(7809,plain,
! [SV634: $i,SV502: $i,SV574: $i,SV590: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV634 ) )
= $false )
| ( ( aNaturalNumber0 @ SV634 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7791]) ).
thf(7810,plain,
! [SV635: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591
= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV635 ) )
= $false )
| ( ( aNaturalNumber0 @ SV635 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7792]) ).
thf(7811,plain,
! [SV635: $i,SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591
= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV635 ) )
= $false )
| ( ( aNaturalNumber0 @ SV635 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7792]) ).
thf(7812,plain,
! [SV636: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( ( SV575
!= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV636 ) )
= $false )
| ( ( aNaturalNumber0 @ SV636 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7793]) ).
thf(7813,plain,
! [SV636: $i,SV502: $i,SV575: $i,SV591: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $false )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV636 ) )
= $false )
| ( ( aNaturalNumber0 @ SV636 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7793]) ).
thf(7814,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7794]) ).
thf(7815,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7794]) ).
thf(7816,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7795]) ).
thf(7817,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7795]) ).
thf(7818,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7796]) ).
thf(7819,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7796]) ).
thf(7820,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( ( SV577
!= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7797]) ).
thf(7821,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7797]) ).
thf(7822,plain,
! [SV631: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7798]) ).
thf(7823,plain,
! [SV631: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7799]) ).
thf(7824,plain,
! [SV632: $i,SV573: $i,SV589: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7800]) ).
thf(7825,plain,
! [SV632: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ~ ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7801]) ).
thf(7826,plain,
! [SV627: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( SV573
= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7802]) ).
thf(7827,plain,
! [SV627: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7803]) ).
thf(7828,plain,
! [SV627: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( SV573
= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7804]) ).
thf(7829,plain,
! [SV627: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV627 ) )
= $false )
| ( ( aNaturalNumber0 @ SV627 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7805]) ).
thf(7830,plain,
! [SV633: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590
= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV633 ) )
= $false )
| ( ( aNaturalNumber0 @ SV633 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7806]) ).
thf(7831,plain,
! [SV633: $i,SV502: $i,SV574: $i,SV590: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( SV590
= ( sdtasdt0 @ ( sK35_W3 @ SV590 @ SV574 @ SV502 ) @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV633 ) )
= $false )
| ( ( aNaturalNumber0 @ SV633 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7807]) ).
thf(7832,plain,
! [SV634: $i,SV574: $i,SV590: $i,SV502: $i] :
( ( ( SV502
= ( sdtasdt0 @ SV590 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV634 ) )
= $false )
| ( ( aNaturalNumber0 @ SV634 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7808]) ).
thf(7833,plain,
! [SV634: $i,SV502: $i,SV574: $i,SV590: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV590 @ SV574 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV574 ) @ SV590 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV590 = sz00 )
= $true )
| ( ( SV590 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK36_SY97 @ SV590 @ SV574 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV574 )
= ( sdtasdt0 @ SV590 @ SV634 ) )
= $false )
| ( ( aNaturalNumber0 @ SV634 )
= $false )
| ( ( aNaturalNumber0 @ SV574 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV590 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7809]) ).
thf(7834,plain,
! [SV635: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( SV575
= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591
= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV635 ) )
= $false )
| ( ( aNaturalNumber0 @ SV635 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7810]) ).
thf(7835,plain,
! [SV635: $i,SV502: $i,SV575: $i,SV591: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( SV591
= ( sdtasdt0 @ ( sK32_W3 @ SV591 @ SV575 @ SV502 ) @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV635 ) )
= $false )
| ( ( aNaturalNumber0 @ SV635 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7811]) ).
thf(7836,plain,
! [SV636: $i,SV502: $i,SV591: $i,SV575: $i] :
( ( ( SV575
= ( sdtasdt0 @ SV591 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV636 ) )
= $false )
| ( ( aNaturalNumber0 @ SV636 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7812]) ).
thf(7837,plain,
! [SV636: $i,SV502: $i,SV575: $i,SV591: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV591 @ SV502 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV575 ) @ SV591 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV591 = sz00 )
= $true )
| ( ( SV591 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK33_SY96 @ SV591 @ SV575 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV575 )
= ( sdtasdt0 @ SV591 @ SV636 ) )
= $false )
| ( ( aNaturalNumber0 @ SV636 )
= $false )
| ( ( aNaturalNumber0 @ SV575 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV591 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7813]) ).
thf(7838,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( SV577
= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7814]) ).
thf(7839,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7815]) ).
thf(7840,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( SV577
= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7816]) ).
thf(7841,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( SV593
= ( sdtasdt0 @ ( sK27_W3 @ SV593 @ SV577 @ SV502 ) @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7817]) ).
thf(7842,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( SV577
= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7818]) ).
thf(7843,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV593 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7819]) ).
thf(7844,plain,
! [SV502: $i,SV593: $i,SV577: $i] :
( ( ( SV577
= ( sdtasdt0 @ SV593 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7820]) ).
thf(7845,plain,
! [SV502: $i,SV577: $i,SV593: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV577 ) @ SV593 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV593 = sz00 )
= $true )
| ( ( SV593 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_SY94 @ SV593 @ SV577 @ SV502 ) )
= $true )
| ( ( doDivides0 @ SV593 @ ( sdtasdt0 @ SV502 @ SV577 ) )
= $false )
| ( ( aNaturalNumber0 @ SV577 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV593 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7821]) ).
thf(7846,plain,
! [SV631: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7822]) ).
thf(7847,plain,
! [SV631: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7823]) ).
thf(7848,plain,
! [SV632: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7824]) ).
thf(7849,plain,
! [SV632: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[7825]) ).
thf(7850,plain,
! [SV631: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7846]) ).
thf(7851,plain,
! [SV631: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7846]) ).
thf(7852,plain,
! [SV631: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7847]) ).
thf(7853,plain,
! [SV631: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7847]) ).
thf(7854,plain,
! [SV632: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7848]) ).
thf(7855,plain,
! [SV632: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7848]) ).
thf(7856,plain,
! [SV632: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( ( SV573
!= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7849]) ).
thf(7857,plain,
! [SV632: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[7849]) ).
thf(7858,plain,
! [SV631: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( SV573
= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7850]) ).
thf(7859,plain,
! [SV631: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7851]) ).
thf(7860,plain,
! [SV631: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( SV573
= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7852]) ).
thf(7861,plain,
! [SV631: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( SV589
= ( sdtasdt0 @ ( sK39_W3 @ SV589 @ SV573 @ SV502 ) @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV631 ) )
= $false )
| ( ( aNaturalNumber0 @ SV631 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7853]) ).
thf(7862,plain,
! [SV632: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( SV573
= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7854]) ).
thf(7863,plain,
! [SV632: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( SV502
= ( sdtasdt0 @ SV589 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7855]) ).
thf(7864,plain,
! [SV632: $i,SV502: $i,SV589: $i,SV573: $i] :
( ( ( SV573
= ( sdtasdt0 @ SV589 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7856]) ).
thf(7865,plain,
! [SV632: $i,SV502: $i,SV573: $i,SV589: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV502 @ SV573 ) @ SV589 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV589 = sz00 )
= $true )
| ( ( SV589 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK40_SY98 @ SV589 @ SV573 @ SV502 ) )
= $true )
| ( ( ( sdtasdt0 @ SV502 @ SV573 )
= ( sdtasdt0 @ SV589 @ SV632 ) )
= $false )
| ( ( aNaturalNumber0 @ SV632 )
= $false )
| ( ( aNaturalNumber0 @ SV573 )
= $false )
| ( ( aNaturalNumber0 @ SV502 )
= $false )
| ( ( aNaturalNumber0 @ SV589 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[7857]) ).
thf(7866,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[5945,7865,7864,7863,7862,7861,7860,7859,7858,7845,7844,7843,7842,7841,7840,7839,7838,7837,7836,7835,7834,7833,7832,7831,7830,7829,7828,7827,7826,7789,7788,7787,7786,7785,7784,7783,7782,7777,7776,7775,7774,7773,7772,7771,7770,7769,7768,7767,7766,7761,7760,7759,7758,7755,7754,7743,7742,7741,7740,7693,7692,7691,7690,7689,7688,7687,7686,7679,7678,7677,7676,7672,7671,7670,7669,7656,7655,7654,7653,7650,7649,7638,7637,7636,7635,7630,7623,7622,7614,7613,7552,7551,7550,7549,7545,7544,7543,7542,7529,7528,7506,7499,7498,7490,7489,7474,7452,7451,7450,7449,7396,7395,7345,7299,7298,7297,7296,7295,7294,7293,7292,7154,7153,7152,7151,7148,7031,6943,6909,6891,6889,6888,6870,6869,6866,6842,6815,6812,6811,6794,6792,6756,6755,6751,6732,6720,6719,6702,6700,6694,6667,6666,6630,6621,6620,6619,6618,6615,6583,6582,6581,6556,6555,6554,6553,6546,6536,6522,6510,6501,6500,6499,6498,6496,6495,6482,6479,6478,6477,6476,6458,6454,6451,6450,6449,6434,6420,6393,6388,6371,6360,6352,6351,6341,6340,6339,6338,6334,6333,6316,6315,6314,6313,6304,6298,6296,6295,6294,6231,6226,6225,6222,6212,6209,6208,6203,6178,6174,6167,6153,6151,6149,6135,6133,6119,6004]) ).
thf(7867,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[7866,2072,4007,5931]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM503+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 21:10:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.40
% 0.19/0.40 No.of.Axioms: 45
% 0.19/0.40
% 0.19/0.40 Length.of.Defs: 0
% 0.19/0.40
% 0.19/0.40 Contains.Choice.Funs: false
% 0.19/0.43 .
% 0.19/0.45 (rf:0,axioms:45,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:47,loop_count:0,foatp_calls:0,translation:fof_full).............................................................................................................................................................................................................................................................................................................................................................
% 42.40/42.68
% 42.40/42.68 ********************************
% 42.40/42.68 * All subproblems solved! *
% 42.40/42.68 ********************************
% 42.40/42.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:45,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:44,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:7866,loop_count:0,foatp_calls:1,translation:fof_full)
% 79.76/79.99
% 79.76/79.99 %**** Beginning of derivation protocol ****
% 79.76/79.99 % SZS output start CNFRefutation
% See solution above
% 79.77/80.04
% 79.77/80.04 %**** End of derivation protocol ****
% 79.77/80.04 %**** no. of clauses in derivation: 7867 ****
% 79.77/80.04 %**** clause counter: 7866 ****
% 79.77/80.04
% 79.77/80.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:45,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:44,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:7866,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------