TSTP Solution File: NUM502+3 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM502+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 11:51:15 EDT 2022
% Result : Theorem 21.18s 21.37s
% Output : CNFRefutation 31.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 100
% Syntax : Number of formulae : 4030 (1116 unt; 55 typ; 0 def)
% Number of atoms : 82721 (34836 equ; 0 cnn)
% Maximal formula atoms : 22 ( 20 avg)
% Number of connectives : 173634 (28549 ~;35199 |; 597 &;109175 @)
% ( 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 : 58 ( 55 usr; 15 con; 0-3 aty)
% Number of variables : 12368 ( 0 ^12333 !; 35 ?;12368 :)
% 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_SY89,type,
sK17_SY89: $i > $i > $i > $i ).
thf(tp_sK18_W3,type,
sK18_W3: $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_SY90,type,
sK20_SY90: $i > $i > $i > $i ).
thf(tp_sK21_W3,type,
sK21_W3: $i > $i > $i > $i ).
thf(tp_sK22_W3,type,
sK22_W3: $i > $i > $i > $i ).
thf(tp_sK23_SY91,type,
sK23_SY91: $i > $i > $i > $i ).
thf(tp_sK24_W3,type,
sK24_W3: $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_SY92,type,
sK27_SY92: $i > $i > $i > $i ).
thf(tp_sK28_W3,type,
sK28_W3: $i > $i > $i > $i ).
thf(tp_sK29_SY93,type,
sK29_SY93: $i > $i > $i > $i ).
thf(tp_sK2_W0,type,
sK2_W0: $i ).
thf(tp_sK30_W3,type,
sK30_W3: $i > $i > $i > $i ).
thf(tp_sK31_W3,type,
sK31_W3: $i > $i > $i > $i ).
thf(tp_sK32_SY94,type,
sK32_SY94: $i > $i > $i > $i ).
thf(tp_sK33_W3,type,
sK33_W3: $i > $i > $i > $i ).
thf(tp_sK34_W3,type,
sK34_W3: $i > $i > $i > $i ).
thf(tp_sK35_SY95,type,
sK35_SY95: $i > $i > $i > $i ).
thf(tp_sK36_W3,type,
sK36_W3: $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_SY96,type,
sK39_SY96: $i > $i > $i > $i ).
thf(tp_sK3_W0,type,
sK3_W0: $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_W3,type,
sK8_W3: $i > $i > $i > $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 @ 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(35,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(36,axiom,
( ( xk != sz00 )
& ( xk != sz10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
thf(37,axiom,
~ ( ( xk = sz00 )
| ( xk = sz10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2315) ).
thf(38,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(39,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(40,axiom,
~ ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xp @ W0 )
= xm ) )
| ( sdtlseqdt0 @ xp @ xm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
thf(41,axiom,
~ ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xp @ W0 )
= xn ) )
| ( sdtlseqdt0 @ xp @ xn ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
thf(42,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(43,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(44,axiom,
( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
thf(45,conjecture,
( ( xk != xp )
& ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xk @ W0 )
= xp ) )
| ( sdtlseqdt0 @ xk @ xp ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
thf(46,negated_conjecture,
( ( ( xk != xp )
& ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xk @ W0 )
= xp ) )
| ( sdtlseqdt0 @ xk @ xp ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[45]) ).
thf(47,plain,
( ( ( xk != xp )
& ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xk @ W0 )
= xp ) )
| ( sdtlseqdt0 @ xk @ xp ) ) )
= $false ),
inference(unfold_def,[status(thm)],[46]) ).
thf(48,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(49,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(50,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(51,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(52,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(53,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(54,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(55,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( iLess0 @ W0 @ W1 )
=> $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(56,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( W0 != sz00 )
=> ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(57,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( W0 = sz00 )
| ( W0 = sz10 )
| ( ( sz10 != W0 )
& ( sdtlseqdt0 @ sz10 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(58,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(59,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(60,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(61,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(62,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(63,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(64,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(65,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(66,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(67,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(68,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(69,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 )
& ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(70,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ sz10 )
= W0 )
& ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(71,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(72,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(73,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz00 )
= W0 )
& ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(74,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(75,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(76,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(77,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aNaturalNumber0 @ W0 )
& ( aNaturalNumber0 @ W1 ) )
=> ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(78,plain,
( ( ( aNaturalNumber0 @ sz10 )
& ( sz10 != sz00 ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(79,plain,
( ( aNaturalNumber0 @ sz00 )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(80,plain,
( ( ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> $true ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(81,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)],[34]) ).
thf(82,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)],[35]) ).
thf(83,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(84,plain,
( ( ~ ( ( xk = sz00 )
| ( xk = sz10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(85,plain,
( ( ( aNaturalNumber0 @ xk )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(86,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)],[39]) ).
thf(87,plain,
( ( ~ ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xp @ W0 )
= xm ) )
| ( sdtlseqdt0 @ xp @ xm ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(88,plain,
( ( ~ ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xp @ W0 )
= xn ) )
| ( sdtlseqdt0 @ xp @ xn ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(89,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)],[42]) ).
thf(90,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)],[43]) ).
thf(91,plain,
( ( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xp ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(92,plain,
( ( ( xk != xp ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[47]) ).
thf(93,plain,
( ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xk @ W0 )
= xp ) )
| ( sdtlseqdt0 @ xk @ xp ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[47]) ).
thf(94,plain,
( ( ~ ( ( xk != xp ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[92]) ).
thf(95,plain,
( ( ~ ( ? [W0: $i] :
( ( aNaturalNumber0 @ W0 )
& ( ( sdtpldt0 @ xk @ W0 )
= xp ) )
| ( sdtlseqdt0 @ xk @ xp ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[93]) ).
thf(96,plain,
( ( xk = xp )
= $true ),
inference(extcnf_combined,[status(esa)],[94]) ).
thf(97,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xk @ W0 )
!= xp )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xk @ xp ) )
= $true ),
inference(extcnf_combined,[status(esa)],[95]) ).
thf(98,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)],[48]) ).
thf(99,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)],[49]) ).
thf(100,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W1 = sz00 )
| ~ ( doDivides0 @ W0 @ W1 )
| ( sdtlseqdt0 @ W0 @ W1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(101,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)],[51]) ).
thf(102,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)],[52]) ).
thf(103,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)],[53]) ).
thf(104,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( iLess0 @ W0 @ W1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(105,plain,
( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 )
| $true )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(106,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = sz00 )
| ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(107,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)],[57]) ).
thf(108,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)],[58]) ).
thf(109,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)],[59]) ).
thf(110,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)],[60]) ).
thf(111,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)],[61]) ).
thf(112,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W0 )
| ( W0 = W1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(113,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(114,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(115,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)],[65]) ).
thf(116,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)],[66]) ).
thf(117,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)],[67]) ).
thf(118,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)],[68]) ).
thf(119,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(120,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz10 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(121,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)],[71]) ).
thf(122,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(123,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtpldt0 @ W0 @ sz00 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(124,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)],[74]) ).
thf(125,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(126,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(127,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(128,plain,
( ( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(129,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(extcnf_combined,[status(esa)],[80]) ).
thf(130,plain,
( ( ( ( sdtpldt0 @ xr @ sK3_W0 )
= xk )
& ( aNaturalNumber0 @ sK3_W0 )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sK2_W0 ) )
& ( aNaturalNumber0 @ sK2_W0 )
& ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(131,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 @ sK4_W0 ) )
& ( aNaturalNumber0 @ sK4_W0 )
& ( aNaturalNumber0 @ xr )
& ( doDivides0 @ xr @ xk )
& ( isPrime0 @ xr ) )
= $true ),
inference(extcnf_combined,[status(esa)],[82]) ).
thf(132,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(133,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(134,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ xk )
& ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(135,plain,
( ( ( xm != xp )
& ( xn != xp )
& ( ( sdtpldt0 @ xn @ sK6_W0 )
= xp )
& ( aNaturalNumber0 @ sK6_W0 )
& ( sdtlseqdt0 @ xn @ xp )
& ( ( sdtpldt0 @ xm @ sK5_W0 )
= xp )
& ( aNaturalNumber0 @ sK5_W0 )
& ( sdtlseqdt0 @ xm @ xp ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(136,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xm )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xm ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(137,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xn )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xn ) )
= $true ),
inference(extcnf_combined,[status(esa)],[88]) ).
thf(138,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 @ sK7_W0 ) )
& ( aNaturalNumber0 @ sK7_W0 )
& ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[89]) ).
thf(139,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK38_W3 @ W2 @ W1 @ W0 ) @ ( sK39_SY96 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK39_SY96 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK38_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK38_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK38_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK38_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 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK36_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK36_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK34_W3 @ W2 @ W1 @ W0 ) @ ( sK35_SY95 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK35_SY95 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK34_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK34_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK34_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK34_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 @ ( sK33_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK33_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK31_W3 @ W2 @ W1 @ W0 ) @ ( sK32_SY94 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK32_SY94 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK31_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK31_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK31_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK31_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 @ ( sK30_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK30_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK28_W3 @ W2 @ W1 @ W0 ) @ ( sK29_SY93 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK29_SY93 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK28_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK28_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK28_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK28_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 @ ( sK26_W3 @ W2 @ W1 @ W0 ) @ ( sK27_SY92 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK27_SY92 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK26_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK26_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK26_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK26_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 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK24_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK24_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK22_W3 @ W2 @ W1 @ W0 ) @ ( sK23_SY91 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK23_SY91 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK22_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK22_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK22_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK22_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 @ ( sK21_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK21_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK19_W3 @ W2 @ W1 @ W0 ) @ ( sK20_SY90 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK20_SY90 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK19_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK19_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK19_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK19_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 @ ( sK18_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK18_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK16_W3 @ W2 @ W1 @ W0 ) @ ( sK17_SY89 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK17_SY89 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK16_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK16_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK16_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK16_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 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK14_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK14_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 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK13_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 @ ( sK12_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK12_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 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK10_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK10_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 @ ( sK9_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK9_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 @ ( sK8_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK8_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)],[90]) ).
thf(140,plain,
( ( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xp ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(141,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK38_W3 @ W2 @ W1 @ W0 ) @ ( sK39_SY96 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK39_SY96 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK38_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK38_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK38_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK38_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 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK36_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK36_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK34_W3 @ W2 @ W1 @ W0 ) @ ( sK35_SY95 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK35_SY95 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK34_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK34_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK34_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK34_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 @ ( sK33_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK33_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK31_W3 @ W2 @ W1 @ W0 ) @ ( sK32_SY94 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK32_SY94 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK31_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK31_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK31_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK31_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 @ ( sK30_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK30_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK28_W3 @ W2 @ W1 @ W0 ) @ ( sK29_SY93 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK29_SY93 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK28_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK28_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK28_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK28_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 @ ( sK26_W3 @ W2 @ W1 @ W0 ) @ ( sK27_SY92 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK27_SY92 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK26_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK26_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK26_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK26_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 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK24_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK24_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK22_W3 @ W2 @ W1 @ W0 ) @ ( sK23_SY91 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK23_SY91 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK22_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK22_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK22_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK22_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 @ ( sK21_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK21_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK19_W3 @ W2 @ W1 @ W0 ) @ ( sK20_SY90 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK20_SY90 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK19_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK19_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK19_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK19_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 @ ( sK18_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK18_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK16_W3 @ W2 @ W1 @ W0 ) @ ( sK17_SY89 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK17_SY89 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK16_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK16_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK16_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK16_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 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK14_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK14_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 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK13_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 @ ( sK12_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK12_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 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK10_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK10_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 @ ( sK9_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK9_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 @ ( sK8_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK8_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)],[139]) ).
thf(142,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 @ sK7_W0 ) )
& ( aNaturalNumber0 @ sK7_W0 )
& ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(143,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xn )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xn ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(144,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xm )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xm ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(145,plain,
( ( ( xm != xp )
& ( xn != xp )
& ( ( sdtpldt0 @ xn @ sK6_W0 )
= xp )
& ( aNaturalNumber0 @ sK6_W0 )
& ( sdtlseqdt0 @ xn @ xp )
& ( ( sdtpldt0 @ xm @ sK5_W0 )
= xp )
& ( aNaturalNumber0 @ sK5_W0 )
& ( sdtlseqdt0 @ xm @ xp ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(146,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ xk )
& ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(147,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(148,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(149,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 @ sK4_W0 ) )
& ( aNaturalNumber0 @ sK4_W0 )
& ( aNaturalNumber0 @ xr )
& ( doDivides0 @ xr @ xk )
& ( isPrime0 @ xr ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(150,plain,
( ( ( ( sdtpldt0 @ xr @ sK3_W0 )
= xk )
& ( aNaturalNumber0 @ sK3_W0 )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sK2_W0 ) )
& ( aNaturalNumber0 @ sK2_W0 )
& ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(151,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(152,plain,
( ( aNaturalNumber0 @ sz00 )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(153,plain,
( ( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(154,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(155,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(156,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(157,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)],[124]) ).
thf(158,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtpldt0 @ W0 @ sz00 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(159,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(160,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)],[121]) ).
thf(161,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz10 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(162,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(163,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)],[118]) ).
thf(164,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)],[117]) ).
thf(165,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)],[116]) ).
thf(166,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)],[115]) ).
thf(167,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(168,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(169,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W0 )
| ( W0 = W1 ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(170,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)],[111]) ).
thf(171,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)],[110]) ).
thf(172,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)],[109]) ).
thf(173,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)],[108]) ).
thf(174,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)],[107]) ).
thf(175,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = sz00 )
| ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(176,plain,
( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 )
| $true )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(177,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( iLess0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(178,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)],[103]) ).
thf(179,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)],[102]) ).
thf(180,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)],[101]) ).
thf(181,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W1 = sz00 )
| ~ ( doDivides0 @ W0 @ W1 )
| ( sdtlseqdt0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(182,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)],[99]) ).
thf(183,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)],[98]) ).
thf(184,plain,
( ( xk = xp )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(185,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 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
| ~ ( isPrime0 @ xr ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(186,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)],[163]) ).
thf(187,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)],[173]) ).
thf(188,plain,
( ( ~ ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(189,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(190,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)],[165]) ).
thf(191,plain,
( ( ~ ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
| ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(192,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)],[164]) ).
thf(193,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)],[166]) ).
thf(194,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)],[174]) ).
thf(195,plain,
( ( ~ ( ~ ( ( sz10 != sz00 ) )
| ~ ( aNaturalNumber0 @ sz10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(196,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(197,plain,
( ( ~ ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(198,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)],[171]) ).
thf(199,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)],[183]) ).
thf(200,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xm ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(201,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 @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(202,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(203,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
| ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(204,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)],[172]) ).
thf(205,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xn ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(206,plain,
( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(207,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK38_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK39_SY96 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK38_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 @ ( sK37_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK36_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK34_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK35_SY95 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK34_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 @ ( sK33_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK31_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK32_SY94 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK31_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 @ ( sK30_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK28_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK29_SY93 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK28_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 @ ( sK26_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK27_SY92 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK24_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK22_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK23_SY91 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK19_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK20_SY90 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK16_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK17_SY89 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK16_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 @ ( sK15_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK14_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_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 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_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 @ ( sK12_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_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 @ ( sK11_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK10_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_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 @ ( sK9_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_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 @ ( sK8_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_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)],[141]) ).
thf(208,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
| ~ ( sdtlseqdt0 @ xm @ xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(209,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(210,plain,
! [SV2: $i] :
( ( ! [SY97: $i] :
( ~ ( aNaturalNumber0 @ SV2 )
| ~ ( aNaturalNumber0 @ SY97 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ SV2 @ SY97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(211,plain,
! [SV3: $i] :
( ( ! [SY98: $i] :
( ~ ( aNaturalNumber0 @ SV3 )
| ~ ( aNaturalNumber0 @ SY98 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ SV3 @ SY98 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(212,plain,
! [SV4: $i] :
( ( ! [SY99: $i] :
( ~ ( aNaturalNumber0 @ SV4 )
| ~ ( aNaturalNumber0 @ SY99 )
| ( ( sdtpldt0 @ SV4 @ SY99 )
= ( sdtpldt0 @ SY99 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(213,plain,
! [SV5: $i] :
( ( ! [SY100: $i,SY101: $i] :
( ~ ( aNaturalNumber0 @ SV5 )
| ~ ( aNaturalNumber0 @ SY100 )
| ~ ( aNaturalNumber0 @ SY101 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SY100 ) @ SY101 )
= ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SY100 @ SY101 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(214,plain,
! [SV6: $i] :
( ( ! [SY102: $i] :
( ~ ( aNaturalNumber0 @ SV6 )
| ~ ( aNaturalNumber0 @ SY102 )
| ( ( sdtasdt0 @ SV6 @ SY102 )
= ( sdtasdt0 @ SY102 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(215,plain,
! [SV7: $i] :
( ( ! [SY103: $i,SY104: $i] :
( ~ ( aNaturalNumber0 @ SV7 )
| ~ ( aNaturalNumber0 @ SY103 )
| ~ ( aNaturalNumber0 @ SY104 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SY103 ) @ SY104 )
= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SY103 @ SY104 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(216,plain,
! [SV8: $i] :
( ( ! [SY105: $i] :
( ~ ( aNaturalNumber0 @ SV8 )
| ~ ( aNaturalNumber0 @ SY105 )
| ( ( sdtasdt0 @ SV8 @ SY105 )
!= sz00 )
| ( SV8 = sz00 )
| ( SY105 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(217,plain,
! [SV9: $i] :
( ( ~ ( aNaturalNumber0 @ SV9 )
| ( sdtlseqdt0 @ SV9 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(218,plain,
! [SV10: $i] :
( ( ! [SY106: $i] :
( ~ ( aNaturalNumber0 @ SV10 )
| ~ ( aNaturalNumber0 @ SY106 )
| ~ ( sdtlseqdt0 @ SV10 @ SY106 )
| ~ ( sdtlseqdt0 @ SY106 @ SV10 )
| ( SV10 = SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(219,plain,
! [SV11: $i] :
( ( ! [SY107: $i,SY108: $i] :
( ~ ( aNaturalNumber0 @ SV11 )
| ~ ( aNaturalNumber0 @ SY107 )
| ~ ( aNaturalNumber0 @ SY108 )
| ~ ( sdtlseqdt0 @ SV11 @ SY107 )
| ~ ( sdtlseqdt0 @ SY107 @ SY108 )
| ( sdtlseqdt0 @ SV11 @ SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(220,plain,
! [SV12: $i] :
( ( ! [SY109: $i] :
( ~ ( aNaturalNumber0 @ SV12 )
| ~ ( aNaturalNumber0 @ SY109 )
| ( SV12 = sz00 )
| ( sdtlseqdt0 @ SY109 @ ( sdtasdt0 @ SY109 @ SV12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(221,plain,
( ( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(222,plain,
! [SV13: $i] :
( ( ! [SY110: $i] :
( ~ ( aNaturalNumber0 @ SV13 )
| ~ ( aNaturalNumber0 @ SY110 )
| ( SV13 = SY110 )
| ~ ( sdtlseqdt0 @ SV13 @ SY110 )
| ( iLess0 @ SV13 @ SY110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(223,plain,
! [SV14: $i] :
( ( ! [SY111: $i,SY112: $i] :
( ~ ( aNaturalNumber0 @ SV14 )
| ~ ( aNaturalNumber0 @ SY111 )
| ~ ( aNaturalNumber0 @ SY112 )
| ~ ( doDivides0 @ SV14 @ SY111 )
| ~ ( doDivides0 @ SY111 @ SY112 )
| ( doDivides0 @ SV14 @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(224,plain,
! [SV15: $i] :
( ( ! [SY113: $i,SY114: $i] :
( ~ ( aNaturalNumber0 @ SV15 )
| ~ ( aNaturalNumber0 @ SY113 )
| ~ ( aNaturalNumber0 @ SY114 )
| ~ ( doDivides0 @ SV15 @ SY113 )
| ~ ( doDivides0 @ SV15 @ SY114 )
| ( doDivides0 @ SV15 @ ( sdtpldt0 @ SY113 @ SY114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(225,plain,
! [SV16: $i] :
( ( ! [SY115: $i,SY116: $i] :
( ~ ( aNaturalNumber0 @ SV16 )
| ~ ( aNaturalNumber0 @ SY115 )
| ~ ( aNaturalNumber0 @ SY116 )
| ~ ( doDivides0 @ SV16 @ SY115 )
| ~ ( doDivides0 @ SV16 @ ( sdtpldt0 @ SY115 @ SY116 ) )
| ( doDivides0 @ SV16 @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(226,plain,
! [SV17: $i] :
( ( ! [SY117: $i] :
( ~ ( aNaturalNumber0 @ SV17 )
| ~ ( aNaturalNumber0 @ SY117 )
| ( SY117 = sz00 )
| ~ ( doDivides0 @ SV17 @ SY117 )
| ( sdtlseqdt0 @ SV17 @ SY117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(227,plain,
! [SV18: $i] :
( ( ! [SY118: $i] :
( ~ ( aNaturalNumber0 @ SV18 )
| ~ ( aNaturalNumber0 @ SY118 )
| ( SV18 = sz00 )
| ~ ( doDivides0 @ SV18 @ SY118 )
| ! [SY119: $i] :
( ~ ( aNaturalNumber0 @ SY119 )
| ( ( sdtasdt0 @ SY119 @ ( sdtsldt0 @ SY118 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY119 @ SY118 ) @ SV18 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(228,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 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
| ~ ( isPrime0 @ xr ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(229,plain,
! [SV19: $i] :
( ( ~ ( ~ ! [SY120: $i,SY121: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY120 )
| ~ ( aNaturalNumber0 @ SY121 )
| ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SY120 @ SY121 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SY120 ) @ ( sdtasdt0 @ SV19 @ SY121 ) ) ) )
| ~ ! [SY122: $i,SY123: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY122 )
| ~ ( aNaturalNumber0 @ SY123 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY122 @ SY123 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY122 @ SV19 ) @ ( sdtasdt0 @ SY123 @ SV19 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(230,plain,
! [SV20: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY124 )
| ~ ( aNaturalNumber0 @ SY125 )
| ( SV20 = sz00 )
| ( SY124 = SY125 )
| ~ ( sdtlseqdt0 @ SY124 @ SY125 )
| ( ( sdtasdt0 @ SY124 @ SV20 )
!= ( sdtasdt0 @ SY125 @ SV20 ) ) )
| ~ ~ ( ~ ! [SY126: $i,SY127: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY126 )
| ~ ( aNaturalNumber0 @ SY127 )
| ( SV20 = sz00 )
| ( SY126 = SY127 )
| ~ ( sdtlseqdt0 @ SY126 @ SY127 )
| ( ( sdtasdt0 @ SV20 @ SY126 )
!= ( sdtasdt0 @ SV20 @ SY127 ) ) )
| ~ ! [SY128: $i,SY129: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY128 )
| ~ ( aNaturalNumber0 @ SY129 )
| ( SV20 = sz00 )
| ( SY128 = SY129 )
| ~ ( sdtlseqdt0 @ SY128 @ SY129 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SY128 ) @ ( sdtasdt0 @ SV20 @ SY129 ) ) ) ) )
| ~ ! [SY130: $i,SY131: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY130 )
| ~ ( aNaturalNumber0 @ SY131 )
| ( SV20 = sz00 )
| ( SY130 = SY131 )
| ~ ( sdtlseqdt0 @ SY130 @ SY131 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY130 @ SV20 ) @ ( sdtasdt0 @ SY131 @ SV20 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(231,plain,
( ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(232,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(233,plain,
! [SV21: $i] :
( ( ~ ( aNaturalNumber0 @ SV21 )
| ( SV21 = sz00 )
| ~ ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( aNaturalNumber0 @ SY132 )
| ~ ( aNaturalNumber0 @ SY133 )
| ( ( sdtasdt0 @ SV21 @ SY132 )
!= ( sdtasdt0 @ SV21 @ SY133 ) )
| ( SY132 = SY133 ) )
| ~ ! [SY134: $i,SY135: $i] :
( ~ ( aNaturalNumber0 @ SY134 )
| ~ ( aNaturalNumber0 @ SY135 )
| ( ( sdtasdt0 @ SY134 @ SV21 )
!= ( sdtasdt0 @ SY135 @ SV21 ) )
| ( SY134 = SY135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(234,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
| ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(235,plain,
! [SV22: $i] :
( ( ~ ( ~ ! [SY136: $i,SY137: $i] :
( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SY136 )
| ~ ( aNaturalNumber0 @ SY137 )
| ( ( sdtpldt0 @ SV22 @ SY136 )
!= ( sdtpldt0 @ SV22 @ SY137 ) )
| ( SY136 = SY137 ) )
| ~ ! [SY138: $i,SY139: $i] :
( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SY138 )
| ~ ( aNaturalNumber0 @ SY139 )
| ( ( sdtpldt0 @ SY138 @ SV22 )
!= ( sdtpldt0 @ SY139 @ SV22 ) )
| ( SY138 = SY139 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(236,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)],[193]) ).
thf(237,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)],[194]) ).
thf(238,plain,
( ( ~ ( ( sz10 != sz00 ) )
| ~ ( aNaturalNumber0 @ sz10 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(239,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(240,plain,
( ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(241,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)],[198]) ).
thf(242,plain,
! [SV23: $i] :
( ( ( SV23 = sz10 )
| ( SV23 = sz00 )
| ~ ( aNaturalNumber0 @ SV23 )
| ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV23 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV23 ) @ SV23 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(243,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xm ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(244,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 @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(245,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(246,plain,
( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
| ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(247,plain,
! [SV24: $i] :
( ( ! [SY140: $i] :
( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SY140 )
| ( SV24 = SY140 )
| ~ ( sdtlseqdt0 @ SV24 @ SY140 )
| ~ ( ~ ~ ( ~ ! [SY141: $i] :
( ~ ( aNaturalNumber0 @ SY141 )
| ( ( sdtpldt0 @ SV24 @ SY141 )
!= ( sdtpldt0 @ SY140 @ SY141 ) ) )
| ~ ~ ( ~ ! [SY142: $i] :
( ~ ( aNaturalNumber0 @ SY142 )
| ( ( sdtpldt0 @ SY142 @ SV24 )
!= ( sdtpldt0 @ SY142 @ SY140 ) ) )
| ~ ! [SY143: $i] :
( ~ ( aNaturalNumber0 @ SY143 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY143 @ SV24 ) @ ( sdtpldt0 @ SY143 @ SY140 ) ) ) ) )
| ~ ! [SY144: $i] :
( ~ ( aNaturalNumber0 @ SY144 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV24 @ SY144 ) @ ( sdtpldt0 @ SY140 @ SY144 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(248,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xn ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(249,plain,
( ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(250,plain,
! [SV25: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV25 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY146 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( ( SY145
!= ( sdtasdt0 @ SY146 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) ) )
| ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV25 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY149 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ( doDivides0 @ SY149 @ SY148 ) ) )
| ~ ~ ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV25 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV25 )
| ~ ( ( SY151
!= ( sdtasdt0 @ SY152 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) ) )
| ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ! [SY156: $i] :
( ( ( sdtasdt0 @ SV25 @ SY154 )
!= ( sdtasdt0 @ SY155 @ SY156 ) )
| ~ ( aNaturalNumber0 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY155 @ SV25 )
| ( doDivides0 @ SY155 @ SY154 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY158
!= ( sdtasdt0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ SY158 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= SY158 ) ) ) )
| ( SY158 = sz00 )
| ( SY158 = sz10 )
| ~ ( doDivides0 @ SY158 @ ( sdtasdt0 @ SV25 @ SY157 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY157 ) @ SY158 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY158 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( ( SY157
!= ( sdtasdt0 @ SY158 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) ) )
| ~ ! [SY159: $i,SY160: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY160
!= ( sdtasdt0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ SY160 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= SY160 ) ) ) )
| ( SY160 = sz00 )
| ( SY160 = sz10 )
| ~ ( doDivides0 @ SY160 @ ( sdtasdt0 @ SV25 @ SY159 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY159 ) @ SY160 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY160 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ( doDivides0 @ SY160 @ SY159 ) ) )
| ~ ~ ( ~ ! [SY161: $i,SY162: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY162
!= ( sdtasdt0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ SY162 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= SY162 ) ) ) )
| ( SY162 = sz00 )
| ( SY162 = sz10 )
| ~ ( doDivides0 @ SY162 @ ( sdtasdt0 @ SV25 @ SY161 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY161 ) @ SY162 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY162 @ SV25 )
| ~ ( ( SY161
!= ( sdtasdt0 @ SY162 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) ) )
| ~ ! [SY163: $i,SY164: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( aNaturalNumber0 @ SY164 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY164
!= ( sdtasdt0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ SY164 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= SY164 ) ) ) )
| ( SY164 = sz00 )
| ( SY164 = sz10 )
| ~ ( doDivides0 @ SY164 @ ( sdtasdt0 @ SV25 @ SY163 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY163 ) @ SY164 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY164 @ SV25 )
| ( doDivides0 @ SY164 @ SY163 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV25 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY166 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( ( SY165
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV25 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ( doDivides0 @ SY169 @ SY168 ) ) )
| ~ ~ ( ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV25 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV25 )
| ~ ( ( SY171
!= ( sdtasdt0 @ SY172 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ! [SY176: $i] :
( ( ( sdtasdt0 @ SV25 @ SY174 )
!= ( sdtasdt0 @ SY175 @ SY176 ) )
| ~ ( aNaturalNumber0 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY175 @ SV25 )
| ( doDivides0 @ SY175 @ SY174 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY177: $i,SY178: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( isPrime0 @ SY178 )
| ~ ( doDivides0 @ SY178 @ ( sdtasdt0 @ SV25 @ SY177 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY177 ) @ SY178 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY178 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( ( SY177
!= ( sdtasdt0 @ SY178 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) ) )
| ~ ! [SY179: $i,SY180: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( isPrime0 @ SY180 )
| ~ ( doDivides0 @ SY180 @ ( sdtasdt0 @ SV25 @ SY179 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY179 ) @ SY180 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY180 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ( doDivides0 @ SY180 @ SY179 ) ) )
| ~ ~ ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( aNaturalNumber0 @ SY182 )
| ~ ( isPrime0 @ SY182 )
| ~ ( doDivides0 @ SY182 @ ( sdtasdt0 @ SV25 @ SY181 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY181 ) @ SY182 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY182 @ SV25 )
| ~ ( ( SY181
!= ( sdtasdt0 @ SY182 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) ) )
| ~ ! [SY183: $i,SY184: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY183 )
| ~ ( aNaturalNumber0 @ SY184 )
| ~ ( isPrime0 @ SY184 )
| ~ ( doDivides0 @ SY184 @ ( sdtasdt0 @ SV25 @ SY183 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY183 ) @ SY184 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY184 @ SV25 )
| ( doDivides0 @ SY184 @ SY183 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(251,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
| ~ ( sdtlseqdt0 @ xm @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(252,plain,
! [SV26: $i,SV2: $i] :
( ( ~ ( aNaturalNumber0 @ SV2 )
| ~ ( aNaturalNumber0 @ SV26 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ SV2 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(253,plain,
! [SV27: $i,SV3: $i] :
( ( ~ ( aNaturalNumber0 @ SV3 )
| ~ ( aNaturalNumber0 @ SV27 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ SV3 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(254,plain,
! [SV28: $i,SV4: $i] :
( ( ~ ( aNaturalNumber0 @ SV4 )
| ~ ( aNaturalNumber0 @ SV28 )
| ( ( sdtpldt0 @ SV4 @ SV28 )
= ( sdtpldt0 @ SV28 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(255,plain,
! [SV29: $i,SV5: $i] :
( ( ! [SY185: $i] :
( ~ ( aNaturalNumber0 @ SV5 )
| ~ ( aNaturalNumber0 @ SV29 )
| ~ ( aNaturalNumber0 @ SY185 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV5 @ SV29 ) @ SY185 )
= ( sdtpldt0 @ SV5 @ ( sdtpldt0 @ SV29 @ SY185 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(256,plain,
! [SV30: $i,SV6: $i] :
( ( ~ ( aNaturalNumber0 @ SV6 )
| ~ ( aNaturalNumber0 @ SV30 )
| ( ( sdtasdt0 @ SV6 @ SV30 )
= ( sdtasdt0 @ SV30 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(257,plain,
! [SV31: $i,SV7: $i] :
( ( ! [SY186: $i] :
( ~ ( aNaturalNumber0 @ SV7 )
| ~ ( aNaturalNumber0 @ SV31 )
| ~ ( aNaturalNumber0 @ SY186 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV31 ) @ SY186 )
= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV31 @ SY186 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(258,plain,
! [SV32: $i,SV8: $i] :
( ( ~ ( aNaturalNumber0 @ SV8 )
| ~ ( aNaturalNumber0 @ SV32 )
| ( ( sdtasdt0 @ SV8 @ SV32 )
!= sz00 )
| ( SV8 = sz00 )
| ( SV32 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(259,plain,
! [SV9: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV9 ) )
= $true )
| ( ( sdtlseqdt0 @ SV9 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(260,plain,
! [SV33: $i,SV10: $i] :
( ( ~ ( aNaturalNumber0 @ SV10 )
| ~ ( aNaturalNumber0 @ SV33 )
| ~ ( sdtlseqdt0 @ SV10 @ SV33 )
| ~ ( sdtlseqdt0 @ SV33 @ SV10 )
| ( SV10 = SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(261,plain,
! [SV34: $i,SV11: $i] :
( ( ! [SY187: $i] :
( ~ ( aNaturalNumber0 @ SV11 )
| ~ ( aNaturalNumber0 @ SV34 )
| ~ ( aNaturalNumber0 @ SY187 )
| ~ ( sdtlseqdt0 @ SV11 @ SV34 )
| ~ ( sdtlseqdt0 @ SV34 @ SY187 )
| ( sdtlseqdt0 @ SV11 @ SY187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(262,plain,
! [SV35: $i,SV12: $i] :
( ( ~ ( aNaturalNumber0 @ SV12 )
| ~ ( aNaturalNumber0 @ SV35 )
| ( SV12 = sz00 )
| ( sdtlseqdt0 @ SV35 @ ( sdtasdt0 @ SV35 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(263,plain,
( ( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(264,plain,
! [SV36: $i,SV13: $i] :
( ( ~ ( aNaturalNumber0 @ SV13 )
| ~ ( aNaturalNumber0 @ SV36 )
| ( SV13 = SV36 )
| ~ ( sdtlseqdt0 @ SV13 @ SV36 )
| ( iLess0 @ SV13 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(265,plain,
! [SV37: $i,SV14: $i] :
( ( ! [SY188: $i] :
( ~ ( aNaturalNumber0 @ SV14 )
| ~ ( aNaturalNumber0 @ SV37 )
| ~ ( aNaturalNumber0 @ SY188 )
| ~ ( doDivides0 @ SV14 @ SV37 )
| ~ ( doDivides0 @ SV37 @ SY188 )
| ( doDivides0 @ SV14 @ SY188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(266,plain,
! [SV38: $i,SV15: $i] :
( ( ! [SY189: $i] :
( ~ ( aNaturalNumber0 @ SV15 )
| ~ ( aNaturalNumber0 @ SV38 )
| ~ ( aNaturalNumber0 @ SY189 )
| ~ ( doDivides0 @ SV15 @ SV38 )
| ~ ( doDivides0 @ SV15 @ SY189 )
| ( doDivides0 @ SV15 @ ( sdtpldt0 @ SV38 @ SY189 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(267,plain,
! [SV39: $i,SV16: $i] :
( ( ! [SY190: $i] :
( ~ ( aNaturalNumber0 @ SV16 )
| ~ ( aNaturalNumber0 @ SV39 )
| ~ ( aNaturalNumber0 @ SY190 )
| ~ ( doDivides0 @ SV16 @ SV39 )
| ~ ( doDivides0 @ SV16 @ ( sdtpldt0 @ SV39 @ SY190 ) )
| ( doDivides0 @ SV16 @ SY190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(268,plain,
! [SV40: $i,SV17: $i] :
( ( ~ ( aNaturalNumber0 @ SV17 )
| ~ ( aNaturalNumber0 @ SV40 )
| ( SV40 = sz00 )
| ~ ( doDivides0 @ SV17 @ SV40 )
| ( sdtlseqdt0 @ SV17 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(269,plain,
! [SV41: $i,SV18: $i] :
( ( ~ ( aNaturalNumber0 @ SV18 )
| ~ ( aNaturalNumber0 @ SV41 )
| ( SV18 = sz00 )
| ~ ( doDivides0 @ SV18 @ SV41 )
| ! [SY191: $i] :
( ~ ( aNaturalNumber0 @ SY191 )
| ( ( sdtasdt0 @ SY191 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY191 @ SV41 ) @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(270,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 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(271,plain,
( ( ~ ( isPrime0 @ xr ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(272,plain,
! [SV19: $i] :
( ( ~ ! [SY120: $i,SY121: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY120 )
| ~ ( aNaturalNumber0 @ SY121 )
| ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SY120 @ SY121 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SY120 ) @ ( sdtasdt0 @ SV19 @ SY121 ) ) ) )
| ~ ! [SY122: $i,SY123: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY122 )
| ~ ( aNaturalNumber0 @ SY123 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY122 @ SY123 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY122 @ SV19 ) @ ( sdtasdt0 @ SY123 @ SV19 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(273,plain,
! [SV20: $i] :
( ( ~ ~ ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY124 )
| ~ ( aNaturalNumber0 @ SY125 )
| ( SV20 = sz00 )
| ( SY124 = SY125 )
| ~ ( sdtlseqdt0 @ SY124 @ SY125 )
| ( ( sdtasdt0 @ SY124 @ SV20 )
!= ( sdtasdt0 @ SY125 @ SV20 ) ) )
| ~ ~ ( ~ ! [SY126: $i,SY127: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY126 )
| ~ ( aNaturalNumber0 @ SY127 )
| ( SV20 = sz00 )
| ( SY126 = SY127 )
| ~ ( sdtlseqdt0 @ SY126 @ SY127 )
| ( ( sdtasdt0 @ SV20 @ SY126 )
!= ( sdtasdt0 @ SV20 @ SY127 ) ) )
| ~ ! [SY128: $i,SY129: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY128 )
| ~ ( aNaturalNumber0 @ SY129 )
| ( SV20 = sz00 )
| ( SY128 = SY129 )
| ~ ( sdtlseqdt0 @ SY128 @ SY129 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SY128 ) @ ( sdtasdt0 @ SV20 @ SY129 ) ) ) ) )
| ~ ! [SY130: $i,SY131: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY130 )
| ~ ( aNaturalNumber0 @ SY131 )
| ( SV20 = sz00 )
| ( SY130 = SY131 )
| ~ ( sdtlseqdt0 @ SY130 @ SY131 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY130 @ SV20 ) @ ( sdtasdt0 @ SY131 @ SV20 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(274,plain,
( ( ~ ( ( xk != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(275,plain,
( ( ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(276,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(277,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(278,plain,
! [SV21: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV21 ) )
= $true )
| ( ( ( SV21 = sz00 )
| ~ ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( aNaturalNumber0 @ SY132 )
| ~ ( aNaturalNumber0 @ SY133 )
| ( ( sdtasdt0 @ SV21 @ SY132 )
!= ( sdtasdt0 @ SV21 @ SY133 ) )
| ( SY132 = SY133 ) )
| ~ ! [SY134: $i,SY135: $i] :
( ~ ( aNaturalNumber0 @ SY134 )
| ~ ( aNaturalNumber0 @ SY135 )
| ( ( sdtasdt0 @ SY134 @ SV21 )
!= ( sdtasdt0 @ SY135 @ SV21 ) )
| ( SY134 = SY135 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(279,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(280,plain,
( ( ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(281,plain,
! [SV22: $i] :
( ( ~ ! [SY136: $i,SY137: $i] :
( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SY136 )
| ~ ( aNaturalNumber0 @ SY137 )
| ( ( sdtpldt0 @ SV22 @ SY136 )
!= ( sdtpldt0 @ SV22 @ SY137 ) )
| ( SY136 = SY137 ) )
| ~ ! [SY138: $i,SY139: $i] :
( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SY138 )
| ~ ( aNaturalNumber0 @ SY139 )
| ( ( sdtpldt0 @ SY138 @ SV22 )
!= ( sdtpldt0 @ SY139 @ SV22 ) )
| ( SY138 = SY139 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(282,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(283,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(284,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(285,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(286,plain,
( ( ~ ( ( sz10 != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(287,plain,
( ( ~ ( aNaturalNumber0 @ sz10 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(288,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(289,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(290,plain,
( ( ~ ( ( xk != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(291,plain,
( ( ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[240]) ).
thf(292,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(293,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(294,plain,
! [SV23: $i] :
( ( ( ( SV23 = sz10 )
| ( SV23 = sz00 )
| ~ ( aNaturalNumber0 @ SV23 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV23 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV23 ) @ SV23 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV23 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(295,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(296,plain,
( ( ~ ~ ( sdtlseqdt0 @ xp @ xm ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(297,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 @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(298,plain,
( ( ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(299,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(300,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(301,plain,
( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(302,plain,
( ( ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(303,plain,
! [SV42: $i,SV24: $i] :
( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV42 )
| ( SV24 = SV42 )
| ~ ( sdtlseqdt0 @ SV24 @ SV42 )
| ~ ( ~ ~ ( ~ ! [SY192: $i] :
( ~ ( aNaturalNumber0 @ SY192 )
| ( ( sdtpldt0 @ SV24 @ SY192 )
!= ( sdtpldt0 @ SV42 @ SY192 ) ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) )
| ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) ) )
| ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV24 @ SY195 ) @ ( sdtpldt0 @ SV42 @ SY195 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(304,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(305,plain,
( ( ~ ~ ( sdtlseqdt0 @ xp @ xn ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(306,plain,
( ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(307,plain,
( ( ~ ( aNaturalNumber0 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(308,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV25 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY146 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( ( SY145
!= ( sdtasdt0 @ SY146 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) ) )
| ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV25 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY149 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ( doDivides0 @ SY149 @ SY148 ) ) )
| ~ ~ ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV25 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV25 )
| ~ ( ( SY151
!= ( sdtasdt0 @ SY152 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) ) )
| ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ! [SY156: $i] :
( ( ( sdtasdt0 @ SV25 @ SY154 )
!= ( sdtasdt0 @ SY155 @ SY156 ) )
| ~ ( aNaturalNumber0 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY155 @ SV25 )
| ( doDivides0 @ SY155 @ SY154 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY158
!= ( sdtasdt0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ SY158 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= SY158 ) ) ) )
| ( SY158 = sz00 )
| ( SY158 = sz10 )
| ~ ( doDivides0 @ SY158 @ ( sdtasdt0 @ SV25 @ SY157 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY157 ) @ SY158 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY158 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( ( SY157
!= ( sdtasdt0 @ SY158 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) ) )
| ~ ! [SY159: $i,SY160: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY160
!= ( sdtasdt0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ SY160 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= SY160 ) ) ) )
| ( SY160 = sz00 )
| ( SY160 = sz10 )
| ~ ( doDivides0 @ SY160 @ ( sdtasdt0 @ SV25 @ SY159 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY159 ) @ SY160 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY160 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ( doDivides0 @ SY160 @ SY159 ) ) )
| ~ ~ ( ~ ! [SY161: $i,SY162: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY162
!= ( sdtasdt0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ SY162 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= SY162 ) ) ) )
| ( SY162 = sz00 )
| ( SY162 = sz10 )
| ~ ( doDivides0 @ SY162 @ ( sdtasdt0 @ SV25 @ SY161 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY161 ) @ SY162 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY162 @ SV25 )
| ~ ( ( SY161
!= ( sdtasdt0 @ SY162 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) ) )
| ~ ! [SY163: $i,SY164: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( aNaturalNumber0 @ SY164 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY164
!= ( sdtasdt0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ SY164 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= SY164 ) ) ) )
| ( SY164 = sz00 )
| ( SY164 = sz10 )
| ~ ( doDivides0 @ SY164 @ ( sdtasdt0 @ SV25 @ SY163 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY163 ) @ SY164 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY164 @ SV25 )
| ( doDivides0 @ SY164 @ SY163 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV25 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY166 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( ( SY165
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV25 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ( doDivides0 @ SY169 @ SY168 ) ) )
| ~ ~ ( ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV25 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV25 )
| ~ ( ( SY171
!= ( sdtasdt0 @ SY172 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ! [SY176: $i] :
( ( ( sdtasdt0 @ SV25 @ SY174 )
!= ( sdtasdt0 @ SY175 @ SY176 ) )
| ~ ( aNaturalNumber0 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY175 @ SV25 )
| ( doDivides0 @ SY175 @ SY174 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY177: $i,SY178: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( isPrime0 @ SY178 )
| ~ ( doDivides0 @ SY178 @ ( sdtasdt0 @ SV25 @ SY177 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY177 ) @ SY178 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY178 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( ( SY177
!= ( sdtasdt0 @ SY178 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) ) )
| ~ ! [SY179: $i,SY180: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( isPrime0 @ SY180 )
| ~ ( doDivides0 @ SY180 @ ( sdtasdt0 @ SV25 @ SY179 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY179 ) @ SY180 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY180 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ( doDivides0 @ SY180 @ SY179 ) ) )
| ~ ~ ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( aNaturalNumber0 @ SY182 )
| ~ ( isPrime0 @ SY182 )
| ~ ( doDivides0 @ SY182 @ ( sdtasdt0 @ SV25 @ SY181 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY181 ) @ SY182 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY182 @ SV25 )
| ~ ( ( SY181
!= ( sdtasdt0 @ SY182 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) ) )
| ~ ! [SY183: $i,SY184: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY183 )
| ~ ( aNaturalNumber0 @ SY184 )
| ~ ( isPrime0 @ SY184 )
| ~ ( doDivides0 @ SY184 @ ( sdtasdt0 @ SV25 @ SY183 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY183 ) @ SY184 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY184 @ SV25 )
| ( doDivides0 @ SY184 @ SY183 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(309,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(310,plain,
( ( ~ ( sdtlseqdt0 @ xm @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(311,plain,
! [SV26: $i,SV2: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV2 )
| ~ ( aNaturalNumber0 @ SV26 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV2 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(312,plain,
! [SV27: $i,SV3: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV3 )
| ~ ( aNaturalNumber0 @ SV27 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV3 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(313,plain,
! [SV28: $i,SV4: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV4 )
| ~ ( aNaturalNumber0 @ SV28 ) )
= $true )
| ( ( ( sdtpldt0 @ SV4 @ SV28 )
= ( sdtpldt0 @ SV28 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(314,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)],[255]) ).
thf(315,plain,
! [SV30: $i,SV6: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV6 )
| ~ ( aNaturalNumber0 @ SV30 ) )
= $true )
| ( ( ( sdtasdt0 @ SV6 @ SV30 )
= ( sdtasdt0 @ SV30 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(316,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)],[257]) ).
thf(317,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)],[258]) ).
thf(318,plain,
! [SV9: $i] :
( ( ( aNaturalNumber0 @ SV9 )
= $false )
| ( ( sdtlseqdt0 @ SV9 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(319,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)],[260]) ).
thf(320,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)],[261]) ).
thf(321,plain,
! [SV35: $i,SV12: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV12 )
| ~ ( aNaturalNumber0 @ SV35 ) )
= $true )
| ( ( ( SV12 = sz00 )
| ( sdtlseqdt0 @ SV35 @ ( sdtasdt0 @ SV35 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(322,plain,
! [SV46: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV46 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(323,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)],[264]) ).
thf(324,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)],[265]) ).
thf(325,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)],[266]) ).
thf(326,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)],[267]) ).
thf(327,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)],[268]) ).
thf(328,plain,
! [SV41: $i,SV18: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV18 )
| ~ ( aNaturalNumber0 @ SV41 ) )
= $true )
| ( ( ( SV18 = sz00 )
| ~ ( doDivides0 @ SV18 @ SV41 )
| ! [SY191: $i] :
( ~ ( aNaturalNumber0 @ SY191 )
| ( ( sdtasdt0 @ SY191 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY191 @ SV41 ) @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(329,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 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(330,plain,
( ( isPrime0 @ xr )
= $true ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(331,plain,
! [SV19: $i] :
( ( ~ ! [SY120: $i,SY121: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY120 )
| ~ ( aNaturalNumber0 @ SY121 )
| ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SY120 @ SY121 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SY120 ) @ ( sdtasdt0 @ SV19 @ SY121 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(332,plain,
! [SV19: $i] :
( ( ~ ! [SY122: $i,SY123: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY122 )
| ~ ( aNaturalNumber0 @ SY123 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY122 @ SY123 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY122 @ SV19 ) @ ( sdtasdt0 @ SY123 @ SV19 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(333,plain,
! [SV20: $i] :
( ( ~ ~ ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY124 )
| ~ ( aNaturalNumber0 @ SY125 )
| ( SV20 = sz00 )
| ( SY124 = SY125 )
| ~ ( sdtlseqdt0 @ SY124 @ SY125 )
| ( ( sdtasdt0 @ SY124 @ SV20 )
!= ( sdtasdt0 @ SY125 @ SV20 ) ) )
| ~ ~ ( ~ ! [SY126: $i,SY127: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY126 )
| ~ ( aNaturalNumber0 @ SY127 )
| ( SV20 = sz00 )
| ( SY126 = SY127 )
| ~ ( sdtlseqdt0 @ SY126 @ SY127 )
| ( ( sdtasdt0 @ SV20 @ SY126 )
!= ( sdtasdt0 @ SV20 @ SY127 ) ) )
| ~ ! [SY128: $i,SY129: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY128 )
| ~ ( aNaturalNumber0 @ SY129 )
| ( SV20 = sz00 )
| ( SY128 = SY129 )
| ~ ( sdtlseqdt0 @ SY128 @ SY129 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SY128 ) @ ( sdtasdt0 @ SV20 @ SY129 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(334,plain,
! [SV20: $i] :
( ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY130 )
| ~ ( aNaturalNumber0 @ SY131 )
| ( SV20 = sz00 )
| ( SY130 = SY131 )
| ~ ( sdtlseqdt0 @ SY130 @ SY131 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY130 @ SV20 ) @ ( sdtasdt0 @ SY131 @ SV20 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(335,plain,
( ( ( xk != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(336,plain,
( ( ( xk != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(337,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(338,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(339,plain,
! [SV21: $i] :
( ( ( aNaturalNumber0 @ SV21 )
= $false )
| ( ( ( SV21 = sz00 )
| ~ ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( aNaturalNumber0 @ SY132 )
| ~ ( aNaturalNumber0 @ SY133 )
| ( ( sdtasdt0 @ SV21 @ SY132 )
!= ( sdtasdt0 @ SV21 @ SY133 ) )
| ( SY132 = SY133 ) )
| ~ ! [SY134: $i,SY135: $i] :
( ~ ( aNaturalNumber0 @ SY134 )
| ~ ( aNaturalNumber0 @ SY135 )
| ( ( sdtasdt0 @ SY134 @ SV21 )
!= ( sdtasdt0 @ SY135 @ SV21 ) )
| ( SY134 = SY135 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(340,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(341,plain,
( ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(342,plain,
! [SV22: $i] :
( ( ~ ! [SY136: $i,SY137: $i] :
( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SY136 )
| ~ ( aNaturalNumber0 @ SY137 )
| ( ( sdtpldt0 @ SV22 @ SY136 )
!= ( sdtpldt0 @ SV22 @ SY137 ) )
| ( SY136 = SY137 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(343,plain,
! [SV22: $i] :
( ( ~ ! [SY138: $i,SY139: $i] :
( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SY138 )
| ~ ( aNaturalNumber0 @ SY139 )
| ( ( sdtpldt0 @ SY138 @ SV22 )
!= ( sdtpldt0 @ SY139 @ SV22 ) )
| ( SY138 = SY139 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(344,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(345,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(346,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(347,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(348,plain,
( ( ( sz10 != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(349,plain,
( ( aNaturalNumber0 @ sz10 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(350,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(351,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(352,plain,
( ( ( xk != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(353,plain,
( ( ( xk != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(354,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(355,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(356,plain,
! [SV23: $i] :
( ( ( SV23 = sz10 )
= $true )
| ( ( ( SV23 = sz00 )
| ~ ( aNaturalNumber0 @ SV23 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV23 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV23 ) @ SV23 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV23 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(357,plain,
( ( ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(358,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(359,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 @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(360,plain,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(361,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(362,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(363,plain,
( ( ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(364,plain,
( ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(365,plain,
! [SV42: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 )
| ~ ( aNaturalNumber0 @ SV42 ) )
= $true )
| ( ( ( SV24 = SV42 )
| ~ ( sdtlseqdt0 @ SV24 @ SV42 )
| ~ ( ~ ~ ( ~ ! [SY192: $i] :
( ~ ( aNaturalNumber0 @ SY192 )
| ( ( sdtpldt0 @ SV24 @ SY192 )
!= ( sdtpldt0 @ SV42 @ SY192 ) ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) )
| ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) ) )
| ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV24 @ SY195 ) @ ( sdtpldt0 @ SV42 @ SY195 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(366,plain,
( ( ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(367,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xn ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(368,plain,
( ( ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(369,plain,
( ( aNaturalNumber0 @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(370,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV25 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY146 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( ( SY145
!= ( sdtasdt0 @ SY146 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) ) )
| ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV25 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY149 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ( doDivides0 @ SY149 @ SY148 ) ) )
| ~ ~ ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV25 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV25 )
| ~ ( ( SY151
!= ( sdtasdt0 @ SY152 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) ) )
| ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ! [SY156: $i] :
( ( ( sdtasdt0 @ SV25 @ SY154 )
!= ( sdtasdt0 @ SY155 @ SY156 ) )
| ~ ( aNaturalNumber0 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY155 @ SV25 )
| ( doDivides0 @ SY155 @ SY154 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY158
!= ( sdtasdt0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ SY158 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= SY158 ) ) ) )
| ( SY158 = sz00 )
| ( SY158 = sz10 )
| ~ ( doDivides0 @ SY158 @ ( sdtasdt0 @ SV25 @ SY157 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY157 ) @ SY158 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY158 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( ( SY157
!= ( sdtasdt0 @ SY158 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) ) )
| ~ ! [SY159: $i,SY160: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY160
!= ( sdtasdt0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ SY160 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= SY160 ) ) ) )
| ( SY160 = sz00 )
| ( SY160 = sz10 )
| ~ ( doDivides0 @ SY160 @ ( sdtasdt0 @ SV25 @ SY159 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY159 ) @ SY160 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY160 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ( doDivides0 @ SY160 @ SY159 ) ) )
| ~ ~ ( ~ ! [SY161: $i,SY162: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY162
!= ( sdtasdt0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ SY162 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= SY162 ) ) ) )
| ( SY162 = sz00 )
| ( SY162 = sz10 )
| ~ ( doDivides0 @ SY162 @ ( sdtasdt0 @ SV25 @ SY161 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY161 ) @ SY162 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY162 @ SV25 )
| ~ ( ( SY161
!= ( sdtasdt0 @ SY162 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) ) )
| ~ ! [SY163: $i,SY164: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( aNaturalNumber0 @ SY164 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY164
!= ( sdtasdt0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ SY164 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= SY164 ) ) ) )
| ( SY164 = sz00 )
| ( SY164 = sz10 )
| ~ ( doDivides0 @ SY164 @ ( sdtasdt0 @ SV25 @ SY163 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY163 ) @ SY164 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY164 @ SV25 )
| ( doDivides0 @ SY164 @ SY163 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(371,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV25 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY166 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( ( SY165
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV25 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ( doDivides0 @ SY169 @ SY168 ) ) )
| ~ ~ ( ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV25 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV25 )
| ~ ( ( SY171
!= ( sdtasdt0 @ SY172 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ! [SY176: $i] :
( ( ( sdtasdt0 @ SV25 @ SY174 )
!= ( sdtasdt0 @ SY175 @ SY176 ) )
| ~ ( aNaturalNumber0 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY175 @ SV25 )
| ( doDivides0 @ SY175 @ SY174 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY177: $i,SY178: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( isPrime0 @ SY178 )
| ~ ( doDivides0 @ SY178 @ ( sdtasdt0 @ SV25 @ SY177 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY177 ) @ SY178 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY178 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( ( SY177
!= ( sdtasdt0 @ SY178 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) ) )
| ~ ! [SY179: $i,SY180: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( isPrime0 @ SY180 )
| ~ ( doDivides0 @ SY180 @ ( sdtasdt0 @ SV25 @ SY179 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY179 ) @ SY180 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY180 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ( doDivides0 @ SY180 @ SY179 ) ) )
| ~ ~ ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( aNaturalNumber0 @ SY182 )
| ~ ( isPrime0 @ SY182 )
| ~ ( doDivides0 @ SY182 @ ( sdtasdt0 @ SV25 @ SY181 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY181 ) @ SY182 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY182 @ SV25 )
| ~ ( ( SY181
!= ( sdtasdt0 @ SY182 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) ) )
| ~ ! [SY183: $i,SY184: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY183 )
| ~ ( aNaturalNumber0 @ SY184 )
| ~ ( isPrime0 @ SY184 )
| ~ ( doDivides0 @ SY184 @ ( sdtasdt0 @ SV25 @ SY183 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY183 ) @ SY184 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY184 @ SV25 )
| ( doDivides0 @ SY184 @ SY183 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(372,plain,
( ( ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(373,plain,
( ( sdtlseqdt0 @ xm @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(374,plain,
! [SV26: $i,SV2: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV2 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV26 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV2 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(375,plain,
! [SV27: $i,SV3: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV3 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV27 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV3 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(376,plain,
! [SV28: $i,SV4: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV4 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV28 ) )
= $true )
| ( ( ( sdtpldt0 @ SV4 @ SV28 )
= ( sdtpldt0 @ SV28 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(377,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)],[314]) ).
thf(378,plain,
! [SV30: $i,SV6: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV6 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV30 ) )
= $true )
| ( ( ( sdtasdt0 @ SV6 @ SV30 )
= ( sdtasdt0 @ SV30 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(379,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)],[316]) ).
thf(380,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)],[317]) ).
thf(381,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)],[319]) ).
thf(382,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)],[320]) ).
thf(383,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)],[321]) ).
thf(384,plain,
! [SV46: $i] :
( ( ( aNaturalNumber0 @ SV46 )
= $false )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(385,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)],[323]) ).
thf(386,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)],[324]) ).
thf(387,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)],[325]) ).
thf(388,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)],[326]) ).
thf(389,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)],[327]) ).
thf(390,plain,
! [SV41: $i,SV18: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV18 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV41 ) )
= $true )
| ( ( ( SV18 = sz00 )
| ~ ( doDivides0 @ SV18 @ SV41 )
| ! [SY191: $i] :
( ~ ( aNaturalNumber0 @ SY191 )
| ( ( sdtasdt0 @ SY191 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY191 @ SV41 ) @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(391,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 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(392,plain,
! [SV19: $i] :
( ( ! [SY120: $i,SY121: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY120 )
| ~ ( aNaturalNumber0 @ SY121 )
| ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SY120 @ SY121 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SY120 ) @ ( sdtasdt0 @ SV19 @ SY121 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(393,plain,
! [SV19: $i] :
( ( ! [SY122: $i,SY123: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SY122 )
| ~ ( aNaturalNumber0 @ SY123 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY122 @ SY123 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY122 @ SV19 ) @ ( sdtasdt0 @ SY123 @ SV19 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(394,plain,
! [SV20: $i] :
( ( ~ ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY124 )
| ~ ( aNaturalNumber0 @ SY125 )
| ( SV20 = sz00 )
| ( SY124 = SY125 )
| ~ ( sdtlseqdt0 @ SY124 @ SY125 )
| ( ( sdtasdt0 @ SY124 @ SV20 )
!= ( sdtasdt0 @ SY125 @ SV20 ) ) )
| ~ ~ ( ~ ! [SY126: $i,SY127: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY126 )
| ~ ( aNaturalNumber0 @ SY127 )
| ( SV20 = sz00 )
| ( SY126 = SY127 )
| ~ ( sdtlseqdt0 @ SY126 @ SY127 )
| ( ( sdtasdt0 @ SV20 @ SY126 )
!= ( sdtasdt0 @ SV20 @ SY127 ) ) )
| ~ ! [SY128: $i,SY129: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY128 )
| ~ ( aNaturalNumber0 @ SY129 )
| ( SV20 = sz00 )
| ( SY128 = SY129 )
| ~ ( sdtlseqdt0 @ SY128 @ SY129 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SY128 ) @ ( sdtasdt0 @ SV20 @ SY129 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(395,plain,
! [SV20: $i] :
( ( ! [SY130: $i,SY131: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY130 )
| ~ ( aNaturalNumber0 @ SY131 )
| ( SV20 = sz00 )
| ( SY130 = SY131 )
| ~ ( sdtlseqdt0 @ SY130 @ SY131 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY130 @ SV20 ) @ ( sdtasdt0 @ SY131 @ SV20 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(396,plain,
( ( xk = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(397,plain,
( ( xk = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(398,plain,
! [SV50: $i] :
( ( ~ ( aNaturalNumber0 @ SV50 )
| ( ( sdtpldt0 @ SV50 @ sz00 )
= SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(399,plain,
! [SV51: $i] :
( ( ~ ( aNaturalNumber0 @ SV51 )
| ( SV51
= ( sdtpldt0 @ sz00 @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(400,plain,
! [SV21: $i] :
( ( ( SV21 = sz00 )
= $true )
| ( ( ~ ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( aNaturalNumber0 @ SY132 )
| ~ ( aNaturalNumber0 @ SY133 )
| ( ( sdtasdt0 @ SV21 @ SY132 )
!= ( sdtasdt0 @ SV21 @ SY133 ) )
| ( SY132 = SY133 ) )
| ~ ! [SY134: $i,SY135: $i] :
( ~ ( aNaturalNumber0 @ SY134 )
| ~ ( aNaturalNumber0 @ SY135 )
| ( ( sdtasdt0 @ SY134 @ SV21 )
!= ( sdtasdt0 @ SY135 @ SV21 ) )
| ( SY134 = SY135 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(401,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(402,plain,
! [SV22: $i] :
( ( ! [SY136: $i,SY137: $i] :
( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SY136 )
| ~ ( aNaturalNumber0 @ SY137 )
| ( ( sdtpldt0 @ SV22 @ SY136 )
!= ( sdtpldt0 @ SV22 @ SY137 ) )
| ( SY136 = SY137 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(403,plain,
! [SV22: $i] :
( ( ! [SY138: $i,SY139: $i] :
( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SY138 )
| ~ ( aNaturalNumber0 @ SY139 )
| ( ( sdtpldt0 @ SY138 @ SV22 )
!= ( sdtpldt0 @ SY139 @ SV22 ) )
| ( SY138 = SY139 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(404,plain,
! [SV52: $i] :
( ( ! [SY196: $i] :
( ~ ( aNaturalNumber0 @ SV52 )
| ~ ( aNaturalNumber0 @ SY196 )
| ( ( sdtpldt0 @ SV52 @ SY196 )
!= sz00 )
| ( SV52 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(405,plain,
! [SV53: $i] :
( ( ! [SY197: $i] :
( ~ ( aNaturalNumber0 @ SV53 )
| ~ ( aNaturalNumber0 @ SY197 )
| ( ( sdtpldt0 @ SV53 @ SY197 )
!= sz00 )
| ( SY197 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(406,plain,
! [SV54: $i] :
( ( ~ ( aNaturalNumber0 @ SV54 )
| ( sz10 != SV54 )
| ( SV54 = sz00 )
| ( SV54 = sz10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(407,plain,
! [SV55: $i] :
( ( ~ ( aNaturalNumber0 @ SV55 )
| ( sdtlseqdt0 @ sz10 @ SV55 )
| ( SV55 = sz00 )
| ( SV55 = sz10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(408,plain,
( ( sz10 = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(409,plain,
! [SV56: $i] :
( ( ~ ( aNaturalNumber0 @ SV56 )
| ( ( sdtasdt0 @ SV56 @ sz00 )
= sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(410,plain,
! [SV57: $i] :
( ( ~ ( aNaturalNumber0 @ SV57 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(411,plain,
( ( xk = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(412,plain,
( ( xk = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(413,plain,
! [SV58: $i] :
( ( ! [SY198: $i] :
( ~ ( aNaturalNumber0 @ SV58 )
| ~ ( aNaturalNumber0 @ SY198 )
| ( SY198 != SV58 )
| ( sdtlseqdt0 @ SV58 @ SY198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(414,plain,
! [SV59: $i] :
( ( ! [SY199: $i] :
( ~ ( aNaturalNumber0 @ SV59 )
| ~ ( aNaturalNumber0 @ SY199 )
| ( sdtlseqdt0 @ SY199 @ SV59 )
| ( sdtlseqdt0 @ SV59 @ SY199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(415,plain,
! [SV23: $i] :
( ( ( SV23 = sz00 )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV23 ) )
= $true )
| ( ( SV23 = sz10 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV23 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV23 ) @ SV23 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV23 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(416,plain,
! [SV60: $i] :
( ( ( ( sdtpldt0 @ xp @ SV60 )
!= xm )
| ~ ( aNaturalNumber0 @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(417,plain,
( ( sdtlseqdt0 @ xp @ xm )
= $false ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(418,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 @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(419,plain,
! [SV61: $i] :
( ( ~ ( aNaturalNumber0 @ SV61 )
| ( ( sdtasdt0 @ SV61 @ sz10 )
= SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(420,plain,
! [SV62: $i] :
( ( ~ ( aNaturalNumber0 @ SV62 )
| ( SV62
= ( sdtasdt0 @ sz10 @ SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(421,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(422,plain,
! [SV42: $i,SV24: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV24 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV42 ) )
= $true )
| ( ( ( SV24 = SV42 )
| ~ ( sdtlseqdt0 @ SV24 @ SV42 )
| ~ ( ~ ~ ( ~ ! [SY192: $i] :
( ~ ( aNaturalNumber0 @ SY192 )
| ( ( sdtpldt0 @ SV24 @ SY192 )
!= ( sdtpldt0 @ SV42 @ SY192 ) ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) )
| ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) ) )
| ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV24 @ SY195 ) @ ( sdtpldt0 @ SV42 @ SY195 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(423,plain,
! [SV63: $i] :
( ( ( ( sdtpldt0 @ xp @ SV63 )
!= xn )
| ~ ( aNaturalNumber0 @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(424,plain,
( ( sdtlseqdt0 @ xp @ xn )
= $false ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(425,plain,
( ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(426,plain,
! [SV25: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV25 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY146 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( ( SY145
!= ( sdtasdt0 @ SY146 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) ) )
| ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV25 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY149 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ( doDivides0 @ SY149 @ SY148 ) ) )
| ~ ~ ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV25 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV25 )
| ~ ( ( SY151
!= ( sdtasdt0 @ SY152 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) ) )
| ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ! [SY156: $i] :
( ( ( sdtasdt0 @ SV25 @ SY154 )
!= ( sdtasdt0 @ SY155 @ SY156 ) )
| ~ ( aNaturalNumber0 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY155 @ SV25 )
| ( doDivides0 @ SY155 @ SY154 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY158
!= ( sdtasdt0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ SY158 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= SY158 ) ) ) )
| ( SY158 = sz00 )
| ( SY158 = sz10 )
| ~ ( doDivides0 @ SY158 @ ( sdtasdt0 @ SV25 @ SY157 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY157 ) @ SY158 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY158 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( ( SY157
!= ( sdtasdt0 @ SY158 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) ) )
| ~ ! [SY159: $i,SY160: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY160
!= ( sdtasdt0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ SY160 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= SY160 ) ) ) )
| ( SY160 = sz00 )
| ( SY160 = sz10 )
| ~ ( doDivides0 @ SY160 @ ( sdtasdt0 @ SV25 @ SY159 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY159 ) @ SY160 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY160 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ( doDivides0 @ SY160 @ SY159 ) ) )
| ~ ~ ( ~ ! [SY161: $i,SY162: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY162
!= ( sdtasdt0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ SY162 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= SY162 ) ) ) )
| ( SY162 = sz00 )
| ( SY162 = sz10 )
| ~ ( doDivides0 @ SY162 @ ( sdtasdt0 @ SV25 @ SY161 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY161 ) @ SY162 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY162 @ SV25 )
| ~ ( ( SY161
!= ( sdtasdt0 @ SY162 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) ) )
| ~ ! [SY163: $i,SY164: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( aNaturalNumber0 @ SY164 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY164
!= ( sdtasdt0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ SY164 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= SY164 ) ) ) )
| ( SY164 = sz00 )
| ( SY164 = sz10 )
| ~ ( doDivides0 @ SY164 @ ( sdtasdt0 @ SV25 @ SY163 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY163 ) @ SY164 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY164 @ SV25 )
| ( doDivides0 @ SY164 @ SY163 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(427,plain,
! [SV25: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV25 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY166 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( ( SY165
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV25 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ( doDivides0 @ SY169 @ SY168 ) ) )
| ~ ~ ( ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV25 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV25 )
| ~ ( ( SY171
!= ( sdtasdt0 @ SY172 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ! [SY176: $i] :
( ( ( sdtasdt0 @ SV25 @ SY174 )
!= ( sdtasdt0 @ SY175 @ SY176 ) )
| ~ ( aNaturalNumber0 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY175 @ SV25 )
| ( doDivides0 @ SY175 @ SY174 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY177: $i,SY178: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( isPrime0 @ SY178 )
| ~ ( doDivides0 @ SY178 @ ( sdtasdt0 @ SV25 @ SY177 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY177 ) @ SY178 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY178 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( ( SY177
!= ( sdtasdt0 @ SY178 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) ) )
| ~ ! [SY179: $i,SY180: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( isPrime0 @ SY180 )
| ~ ( doDivides0 @ SY180 @ ( sdtasdt0 @ SV25 @ SY179 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY179 ) @ SY180 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY180 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ( doDivides0 @ SY180 @ SY179 ) ) )
| ~ ~ ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( aNaturalNumber0 @ SY182 )
| ~ ( isPrime0 @ SY182 )
| ~ ( doDivides0 @ SY182 @ ( sdtasdt0 @ SV25 @ SY181 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY181 ) @ SY182 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY182 @ SV25 )
| ~ ( ( SY181
!= ( sdtasdt0 @ SY182 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) ) )
| ~ ! [SY183: $i,SY184: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY183 )
| ~ ( aNaturalNumber0 @ SY184 )
| ~ ( isPrime0 @ SY184 )
| ~ ( doDivides0 @ SY184 @ ( sdtasdt0 @ SV25 @ SY183 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY183 ) @ SY184 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY184 @ SV25 )
| ( doDivides0 @ SY184 @ SY183 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(428,plain,
( ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(429,plain,
! [SV26: $i,SV2: $i] :
( ( ( aNaturalNumber0 @ SV2 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV26 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV2 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(430,plain,
! [SV27: $i,SV3: $i] :
( ( ( aNaturalNumber0 @ SV3 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV27 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV3 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(431,plain,
! [SV28: $i,SV4: $i] :
( ( ( aNaturalNumber0 @ SV4 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV28 ) )
= $true )
| ( ( ( sdtpldt0 @ SV4 @ SV28 )
= ( sdtpldt0 @ SV28 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(432,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)],[377]) ).
thf(433,plain,
! [SV30: $i,SV6: $i] :
( ( ( aNaturalNumber0 @ SV6 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV30 ) )
= $true )
| ( ( ( sdtasdt0 @ SV6 @ SV30 )
= ( sdtasdt0 @ SV30 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(434,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)],[379]) ).
thf(435,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)],[380]) ).
thf(436,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)],[381]) ).
thf(437,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)],[382]) ).
thf(438,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)],[383]) ).
thf(439,plain,
! [SV46: $i,SV64: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV64 ) )
= $true )
| ( ( aNaturalNumber0 @ SV46 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(440,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)],[385]) ).
thf(441,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)],[386]) ).
thf(442,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)],[387]) ).
thf(443,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)],[388]) ).
thf(444,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)],[389]) ).
thf(445,plain,
! [SV41: $i,SV18: $i] :
( ( ( aNaturalNumber0 @ SV18 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV41 ) )
= $true )
| ( ( ( SV18 = sz00 )
| ~ ( doDivides0 @ SV18 @ SV41 )
| ! [SY191: $i] :
( ~ ( aNaturalNumber0 @ SY191 )
| ( ( sdtasdt0 @ SY191 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY191 @ SV41 ) @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(446,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)],[391]) ).
thf(447,plain,
( ( ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(448,plain,
! [SV65: $i,SV19: $i] :
( ( ! [SY200: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SV65 )
| ~ ( aNaturalNumber0 @ SY200 )
| ( ( sdtasdt0 @ SV19 @ ( sdtpldt0 @ SV65 @ SY200 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV65 ) @ ( sdtasdt0 @ SV19 @ SY200 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(449,plain,
! [SV66: $i,SV19: $i] :
( ( ! [SY201: $i] :
( ~ ( aNaturalNumber0 @ SV19 )
| ~ ( aNaturalNumber0 @ SV66 )
| ~ ( aNaturalNumber0 @ SY201 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV66 @ SY201 ) @ SV19 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV66 @ SV19 ) @ ( sdtasdt0 @ SY201 @ SV19 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(450,plain,
! [SV20: $i] :
( ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY124 )
| ~ ( aNaturalNumber0 @ SY125 )
| ( SV20 = sz00 )
| ( SY124 = SY125 )
| ~ ( sdtlseqdt0 @ SY124 @ SY125 )
| ( ( sdtasdt0 @ SY124 @ SV20 )
!= ( sdtasdt0 @ SY125 @ SV20 ) ) )
| ~ ~ ( ~ ! [SY126: $i,SY127: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY126 )
| ~ ( aNaturalNumber0 @ SY127 )
| ( SV20 = sz00 )
| ( SY126 = SY127 )
| ~ ( sdtlseqdt0 @ SY126 @ SY127 )
| ( ( sdtasdt0 @ SV20 @ SY126 )
!= ( sdtasdt0 @ SV20 @ SY127 ) ) )
| ~ ! [SY128: $i,SY129: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY128 )
| ~ ( aNaturalNumber0 @ SY129 )
| ( SV20 = sz00 )
| ( SY128 = SY129 )
| ~ ( sdtlseqdt0 @ SY128 @ SY129 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SY128 ) @ ( sdtasdt0 @ SV20 @ SY129 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(451,plain,
! [SV67: $i,SV20: $i] :
( ( ! [SY202: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV67 )
| ~ ( aNaturalNumber0 @ SY202 )
| ( SV20 = sz00 )
| ( SV67 = SY202 )
| ~ ( sdtlseqdt0 @ SV67 @ SY202 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV67 @ SV20 ) @ ( sdtasdt0 @ SY202 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(452,plain,
! [SV50: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV50 ) )
= $true )
| ( ( ( sdtpldt0 @ SV50 @ sz00 )
= SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(453,plain,
! [SV51: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV51 ) )
= $true )
| ( ( SV51
= ( sdtpldt0 @ sz00 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(454,plain,
! [SV21: $i] :
( ( ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( aNaturalNumber0 @ SY132 )
| ~ ( aNaturalNumber0 @ SY133 )
| ( ( sdtasdt0 @ SV21 @ SY132 )
!= ( sdtasdt0 @ SV21 @ SY133 ) )
| ( SY132 = SY133 ) )
| ~ ! [SY134: $i,SY135: $i] :
( ~ ( aNaturalNumber0 @ SY134 )
| ~ ( aNaturalNumber0 @ SY135 )
| ( ( sdtasdt0 @ SY134 @ SV21 )
!= ( sdtasdt0 @ SY135 @ SV21 ) )
| ( SY134 = SY135 ) ) )
= $false )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(455,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(456,plain,
( ( ~ ( aNaturalNumber0 @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(457,plain,
! [SV68: $i,SV22: $i] :
( ( ! [SY203: $i] :
( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SV68 )
| ~ ( aNaturalNumber0 @ SY203 )
| ( ( sdtpldt0 @ SV22 @ SV68 )
!= ( sdtpldt0 @ SV22 @ SY203 ) )
| ( SV68 = SY203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(458,plain,
! [SV69: $i,SV22: $i] :
( ( ! [SY204: $i] :
( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SV69 )
| ~ ( aNaturalNumber0 @ SY204 )
| ( ( sdtpldt0 @ SV69 @ SV22 )
!= ( sdtpldt0 @ SY204 @ SV22 ) )
| ( SV69 = SY204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(459,plain,
! [SV70: $i,SV52: $i] :
( ( ~ ( aNaturalNumber0 @ SV52 )
| ~ ( aNaturalNumber0 @ SV70 )
| ( ( sdtpldt0 @ SV52 @ SV70 )
!= sz00 )
| ( SV52 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(460,plain,
! [SV71: $i,SV53: $i] :
( ( ~ ( aNaturalNumber0 @ SV53 )
| ~ ( aNaturalNumber0 @ SV71 )
| ( ( sdtpldt0 @ SV53 @ SV71 )
!= sz00 )
| ( SV71 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(461,plain,
! [SV54: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV54 ) )
= $true )
| ( ( ( sz10 != SV54 )
| ( SV54 = sz00 )
| ( SV54 = sz10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(462,plain,
! [SV55: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV55 ) )
= $true )
| ( ( ( sdtlseqdt0 @ sz10 @ SV55 )
| ( SV55 = sz00 )
| ( SV55 = sz10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(463,plain,
! [SV56: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV56 ) )
= $true )
| ( ( ( sdtasdt0 @ SV56 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(464,plain,
! [SV57: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV57 ) )
= $true )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV57 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(465,plain,
! [SV72: $i,SV58: $i] :
( ( ~ ( aNaturalNumber0 @ SV58 )
| ~ ( aNaturalNumber0 @ SV72 )
| ( SV72 != SV58 )
| ( sdtlseqdt0 @ SV58 @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(466,plain,
! [SV73: $i,SV59: $i] :
( ( ~ ( aNaturalNumber0 @ SV59 )
| ~ ( aNaturalNumber0 @ SV73 )
| ( sdtlseqdt0 @ SV73 @ SV59 )
| ( sdtlseqdt0 @ SV59 @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(467,plain,
! [SV23: $i] :
( ( ( aNaturalNumber0 @ SV23 )
= $false )
| ( ( SV23 = sz00 )
= $true )
| ( ( SV23 = sz10 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV23 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV23 ) @ SV23 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV23 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(468,plain,
! [SV60: $i] :
( ( ( ( ( sdtpldt0 @ xp @ SV60 )
!= xm ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
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)],[418]) ).
thf(470,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(471,plain,
! [SV61: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV61 ) )
= $true )
| ( ( ( sdtasdt0 @ SV61 @ sz10 )
= SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(472,plain,
! [SV62: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV62 ) )
= $true )
| ( ( SV62
= ( sdtasdt0 @ sz10 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(473,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(474,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(475,plain,
! [SV42: $i,SV24: $i] :
( ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV42 ) )
= $true )
| ( ( ( SV24 = SV42 )
| ~ ( sdtlseqdt0 @ SV24 @ SV42 )
| ~ ( ~ ~ ( ~ ! [SY192: $i] :
( ~ ( aNaturalNumber0 @ SY192 )
| ( ( sdtpldt0 @ SV24 @ SY192 )
!= ( sdtpldt0 @ SV42 @ SY192 ) ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) )
| ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) ) )
| ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV24 @ SY195 ) @ ( sdtpldt0 @ SV42 @ SY195 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(476,plain,
! [SV63: $i] :
( ( ( ( ( sdtpldt0 @ xp @ SV63 )
!= xn ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(477,plain,
( ( ~ ( aNaturalNumber0 @ xn ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(478,plain,
( ( ~ ( aNaturalNumber0 @ xm ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(479,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV25 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY146 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( ( SY145
!= ( sdtasdt0 @ SY146 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) ) )
| ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV25 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY149 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ( doDivides0 @ SY149 @ SY148 ) ) )
| ~ ~ ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV25 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV25 )
| ~ ( ( SY151
!= ( sdtasdt0 @ SY152 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) ) )
| ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ! [SY156: $i] :
( ( ( sdtasdt0 @ SV25 @ SY154 )
!= ( sdtasdt0 @ SY155 @ SY156 ) )
| ~ ( aNaturalNumber0 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY155 @ SV25 )
| ( doDivides0 @ SY155 @ SY154 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY158
!= ( sdtasdt0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ SY158 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= SY158 ) ) ) )
| ( SY158 = sz00 )
| ( SY158 = sz10 )
| ~ ( doDivides0 @ SY158 @ ( sdtasdt0 @ SV25 @ SY157 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY157 ) @ SY158 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY158 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( ( SY157
!= ( sdtasdt0 @ SY158 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) ) )
| ~ ! [SY159: $i,SY160: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY160
!= ( sdtasdt0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ SY160 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= SY160 ) ) ) )
| ( SY160 = sz00 )
| ( SY160 = sz10 )
| ~ ( doDivides0 @ SY160 @ ( sdtasdt0 @ SV25 @ SY159 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY159 ) @ SY160 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY160 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ( doDivides0 @ SY160 @ SY159 ) ) )
| ~ ~ ( ~ ! [SY161: $i,SY162: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY162
!= ( sdtasdt0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ SY162 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= SY162 ) ) ) )
| ( SY162 = sz00 )
| ( SY162 = sz10 )
| ~ ( doDivides0 @ SY162 @ ( sdtasdt0 @ SV25 @ SY161 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY161 ) @ SY162 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY162 @ SV25 )
| ~ ( ( SY161
!= ( sdtasdt0 @ SY162 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) ) )
| ~ ! [SY163: $i,SY164: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( aNaturalNumber0 @ SY164 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY164
!= ( sdtasdt0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ SY164 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= SY164 ) ) ) )
| ( SY164 = sz00 )
| ( SY164 = sz10 )
| ~ ( doDivides0 @ SY164 @ ( sdtasdt0 @ SV25 @ SY163 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY163 ) @ SY164 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY164 @ SV25 )
| ( doDivides0 @ SY164 @ SY163 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(480,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV25 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY166 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( ( SY165
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV25 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ( doDivides0 @ SY169 @ SY168 ) ) )
| ~ ~ ( ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV25 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV25 )
| ~ ( ( SY171
!= ( sdtasdt0 @ SY172 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ! [SY176: $i] :
( ( ( sdtasdt0 @ SV25 @ SY174 )
!= ( sdtasdt0 @ SY175 @ SY176 ) )
| ~ ( aNaturalNumber0 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY175 @ SV25 )
| ( doDivides0 @ SY175 @ SY174 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY177: $i,SY178: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( isPrime0 @ SY178 )
| ~ ( doDivides0 @ SY178 @ ( sdtasdt0 @ SV25 @ SY177 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY177 ) @ SY178 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY178 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( ( SY177
!= ( sdtasdt0 @ SY178 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) ) )
| ~ ! [SY179: $i,SY180: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( isPrime0 @ SY180 )
| ~ ( doDivides0 @ SY180 @ ( sdtasdt0 @ SV25 @ SY179 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY179 ) @ SY180 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY180 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ( doDivides0 @ SY180 @ SY179 ) ) )
| ~ ~ ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( aNaturalNumber0 @ SY182 )
| ~ ( isPrime0 @ SY182 )
| ~ ( doDivides0 @ SY182 @ ( sdtasdt0 @ SV25 @ SY181 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY181 ) @ SY182 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY182 @ SV25 )
| ~ ( ( SY181
!= ( sdtasdt0 @ SY182 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) ) )
| ~ ! [SY183: $i,SY184: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY183 )
| ~ ( aNaturalNumber0 @ SY184 )
| ~ ( isPrime0 @ SY184 )
| ~ ( doDivides0 @ SY184 @ ( sdtasdt0 @ SV25 @ SY183 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY183 ) @ SY184 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY184 @ SV25 )
| ( doDivides0 @ SY184 @ SY183 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(481,plain,
( ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(482,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(483,plain,
! [SV2: $i,SV26: $i] :
( ( ( aNaturalNumber0 @ SV26 )
= $false )
| ( ( aNaturalNumber0 @ SV2 )
= $false )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV2 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(484,plain,
! [SV3: $i,SV27: $i] :
( ( ( aNaturalNumber0 @ SV27 )
= $false )
| ( ( aNaturalNumber0 @ SV3 )
= $false )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV3 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(485,plain,
! [SV4: $i,SV28: $i] :
( ( ( aNaturalNumber0 @ SV28 )
= $false )
| ( ( aNaturalNumber0 @ SV4 )
= $false )
| ( ( ( sdtpldt0 @ SV4 @ SV28 )
= ( sdtpldt0 @ SV28 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(486,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)],[432]) ).
thf(487,plain,
! [SV6: $i,SV30: $i] :
( ( ( aNaturalNumber0 @ SV30 )
= $false )
| ( ( aNaturalNumber0 @ SV6 )
= $false )
| ( ( ( sdtasdt0 @ SV6 @ SV30 )
= ( sdtasdt0 @ SV30 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(488,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)],[434]) ).
thf(489,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)],[435]) ).
thf(490,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)],[436]) ).
thf(491,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)],[437]) ).
thf(492,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)],[438]) ).
thf(493,plain,
! [SV46: $i,SV64: $i] :
( ( ( aNaturalNumber0 @ SV64 )
= $false )
| ( ( aNaturalNumber0 @ SV46 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(494,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)],[440]) ).
thf(495,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)],[441]) ).
thf(496,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)],[442]) ).
thf(497,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)],[443]) ).
thf(498,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)],[444]) ).
thf(499,plain,
! [SV18: $i,SV41: $i] :
( ( ( aNaturalNumber0 @ SV41 )
= $false )
| ( ( aNaturalNumber0 @ SV18 )
= $false )
| ( ( ( SV18 = sz00 )
| ~ ( doDivides0 @ SV18 @ SV41 )
| ! [SY191: $i] :
( ~ ( aNaturalNumber0 @ SY191 )
| ( ( sdtasdt0 @ SY191 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY191 @ SV41 ) @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(500,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)],[446]) ).
thf(501,plain,
( ( ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(502,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)],[448]) ).
thf(503,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)],[449]) ).
thf(504,plain,
! [SV20: $i] :
( ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY124 )
| ~ ( aNaturalNumber0 @ SY125 )
| ( SV20 = sz00 )
| ( SY124 = SY125 )
| ~ ( sdtlseqdt0 @ SY124 @ SY125 )
| ( ( sdtasdt0 @ SY124 @ SV20 )
!= ( sdtasdt0 @ SY125 @ SV20 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(505,plain,
! [SV20: $i] :
( ( ~ ~ ( ~ ! [SY126: $i,SY127: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY126 )
| ~ ( aNaturalNumber0 @ SY127 )
| ( SV20 = sz00 )
| ( SY126 = SY127 )
| ~ ( sdtlseqdt0 @ SY126 @ SY127 )
| ( ( sdtasdt0 @ SV20 @ SY126 )
!= ( sdtasdt0 @ SV20 @ SY127 ) ) )
| ~ ! [SY128: $i,SY129: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY128 )
| ~ ( aNaturalNumber0 @ SY129 )
| ( SV20 = sz00 )
| ( SY128 = SY129 )
| ~ ( sdtlseqdt0 @ SY128 @ SY129 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SY128 ) @ ( sdtasdt0 @ SV20 @ SY129 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(506,plain,
! [SV76: $i,SV67: $i,SV20: $i] :
( ( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV67 )
| ~ ( aNaturalNumber0 @ SV76 )
| ( SV20 = sz00 )
| ( SV67 = SV76 )
| ~ ( sdtlseqdt0 @ SV67 @ SV76 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV67 @ SV20 ) @ ( sdtasdt0 @ SV76 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(507,plain,
! [SV50: $i] :
( ( ( aNaturalNumber0 @ SV50 )
= $false )
| ( ( ( sdtpldt0 @ SV50 @ sz00 )
= SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(508,plain,
! [SV51: $i] :
( ( ( aNaturalNumber0 @ SV51 )
= $false )
| ( ( SV51
= ( sdtpldt0 @ sz00 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(509,plain,
! [SV21: $i] :
( ( ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( aNaturalNumber0 @ SY132 )
| ~ ( aNaturalNumber0 @ SY133 )
| ( ( sdtasdt0 @ SV21 @ SY132 )
!= ( sdtasdt0 @ SV21 @ SY133 ) )
| ( SY132 = SY133 ) ) )
= $false )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(510,plain,
! [SV21: $i] :
( ( ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( aNaturalNumber0 @ SY134 )
| ~ ( aNaturalNumber0 @ SY135 )
| ( ( sdtasdt0 @ SY134 @ SV21 )
!= ( sdtasdt0 @ SY135 @ SV21 ) )
| ( SY134 = SY135 ) ) )
= $false )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(511,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[455]) ).
thf(512,plain,
( ( aNaturalNumber0 @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[456]) ).
thf(513,plain,
! [SV77: $i,SV68: $i,SV22: $i] :
( ( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SV68 )
| ~ ( aNaturalNumber0 @ SV77 )
| ( ( sdtpldt0 @ SV22 @ SV68 )
!= ( sdtpldt0 @ SV22 @ SV77 ) )
| ( SV68 = SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(514,plain,
! [SV78: $i,SV69: $i,SV22: $i] :
( ( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SV69 )
| ~ ( aNaturalNumber0 @ SV78 )
| ( ( sdtpldt0 @ SV69 @ SV22 )
!= ( sdtpldt0 @ SV78 @ SV22 ) )
| ( SV69 = SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(515,plain,
! [SV70: $i,SV52: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV52 )
| ~ ( aNaturalNumber0 @ SV70 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV52 @ SV70 )
!= sz00 )
| ( SV52 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(516,plain,
! [SV71: $i,SV53: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV53 )
| ~ ( aNaturalNumber0 @ SV71 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV53 @ SV71 )
!= sz00 )
| ( SV71 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(517,plain,
! [SV54: $i] :
( ( ( aNaturalNumber0 @ SV54 )
= $false )
| ( ( ( sz10 != SV54 )
| ( SV54 = sz00 )
| ( SV54 = sz10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(518,plain,
! [SV55: $i] :
( ( ( aNaturalNumber0 @ SV55 )
= $false )
| ( ( ( sdtlseqdt0 @ sz10 @ SV55 )
| ( SV55 = sz00 )
| ( SV55 = sz10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(519,plain,
! [SV56: $i] :
( ( ( aNaturalNumber0 @ SV56 )
= $false )
| ( ( ( sdtasdt0 @ SV56 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(520,plain,
! [SV57: $i] :
( ( ( aNaturalNumber0 @ SV57 )
= $false )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV57 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(521,plain,
! [SV72: $i,SV58: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV58 )
| ~ ( aNaturalNumber0 @ SV72 ) )
= $true )
| ( ( ( SV72 != SV58 )
| ( sdtlseqdt0 @ SV58 @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(522,plain,
! [SV73: $i,SV59: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV59 )
| ~ ( aNaturalNumber0 @ SV73 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV73 @ SV59 )
| ( sdtlseqdt0 @ SV59 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(523,plain,
! [SV23: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV23 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV23 ) @ SV23 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV23 ) ) )
= $false )
| ( ( SV23 = sz10 )
= $true )
| ( ( SV23 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(524,plain,
! [SV60: $i] :
( ( ( ( sdtpldt0 @ xp @ SV60 )
= xm )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[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 @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(527,plain,
! [SV61: $i] :
( ( ( aNaturalNumber0 @ SV61 )
= $false )
| ( ( ( sdtasdt0 @ SV61 @ sz10 )
= SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(528,plain,
! [SV62: $i] :
( ( ( aNaturalNumber0 @ SV62 )
= $false )
| ( ( SV62
= ( sdtasdt0 @ sz10 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(529,plain,
( ( ~ ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(530,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(531,plain,
! [SV24: $i,SV42: $i] :
( ( ( aNaturalNumber0 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( ( SV24 = SV42 )
| ~ ( sdtlseqdt0 @ SV24 @ SV42 )
| ~ ( ~ ~ ( ~ ! [SY192: $i] :
( ~ ( aNaturalNumber0 @ SY192 )
| ( ( sdtpldt0 @ SV24 @ SY192 )
!= ( sdtpldt0 @ SV42 @ SY192 ) ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) )
| ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) ) )
| ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV24 @ SY195 ) @ ( sdtpldt0 @ SV42 @ SY195 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(532,plain,
! [SV63: $i] :
( ( ( ( sdtpldt0 @ xp @ SV63 )
= xn )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(533,plain,
( ( aNaturalNumber0 @ xn )
= $true ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(534,plain,
( ( aNaturalNumber0 @ xm )
= $true ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(535,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV25 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY146 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( ( SY145
!= ( sdtasdt0 @ SY146 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) ) )
| ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV25 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY149 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ( doDivides0 @ SY149 @ SY148 ) ) )
| ~ ~ ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV25 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV25 )
| ~ ( ( SY151
!= ( sdtasdt0 @ SY152 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) ) )
| ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ! [SY156: $i] :
( ( ( sdtasdt0 @ SV25 @ SY154 )
!= ( sdtasdt0 @ SY155 @ SY156 ) )
| ~ ( aNaturalNumber0 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY155 @ SV25 )
| ( doDivides0 @ SY155 @ SY154 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(536,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY158
!= ( sdtasdt0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ SY158 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= SY158 ) ) ) )
| ( SY158 = sz00 )
| ( SY158 = sz10 )
| ~ ( doDivides0 @ SY158 @ ( sdtasdt0 @ SV25 @ SY157 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY157 ) @ SY158 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY158 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( ( SY157
!= ( sdtasdt0 @ SY158 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) ) )
| ~ ! [SY159: $i,SY160: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY160
!= ( sdtasdt0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ SY160 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= SY160 ) ) ) )
| ( SY160 = sz00 )
| ( SY160 = sz10 )
| ~ ( doDivides0 @ SY160 @ ( sdtasdt0 @ SV25 @ SY159 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY159 ) @ SY160 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY160 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ( doDivides0 @ SY160 @ SY159 ) ) )
| ~ ~ ( ~ ! [SY161: $i,SY162: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY162
!= ( sdtasdt0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ SY162 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= SY162 ) ) ) )
| ( SY162 = sz00 )
| ( SY162 = sz10 )
| ~ ( doDivides0 @ SY162 @ ( sdtasdt0 @ SV25 @ SY161 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY161 ) @ SY162 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY162 @ SV25 )
| ~ ( ( SY161
!= ( sdtasdt0 @ SY162 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) ) )
| ~ ! [SY163: $i,SY164: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( aNaturalNumber0 @ SY164 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY164
!= ( sdtasdt0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ SY164 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= SY164 ) ) ) )
| ( SY164 = sz00 )
| ( SY164 = sz10 )
| ~ ( doDivides0 @ SY164 @ ( sdtasdt0 @ SV25 @ SY163 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY163 ) @ SY164 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY164 @ SV25 )
| ( doDivides0 @ SY164 @ SY163 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(537,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV25 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY166 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( ( SY165
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV25 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ( doDivides0 @ SY169 @ SY168 ) ) )
| ~ ~ ( ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV25 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV25 )
| ~ ( ( SY171
!= ( sdtasdt0 @ SY172 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ! [SY176: $i] :
( ( ( sdtasdt0 @ SV25 @ SY174 )
!= ( sdtasdt0 @ SY175 @ SY176 ) )
| ~ ( aNaturalNumber0 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY175 @ SV25 )
| ( doDivides0 @ SY175 @ SY174 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(538,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY177: $i,SY178: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( isPrime0 @ SY178 )
| ~ ( doDivides0 @ SY178 @ ( sdtasdt0 @ SV25 @ SY177 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY177 ) @ SY178 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY178 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( ( SY177
!= ( sdtasdt0 @ SY178 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) ) )
| ~ ! [SY179: $i,SY180: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( isPrime0 @ SY180 )
| ~ ( doDivides0 @ SY180 @ ( sdtasdt0 @ SV25 @ SY179 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY179 ) @ SY180 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY180 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ( doDivides0 @ SY180 @ SY179 ) ) )
| ~ ~ ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( aNaturalNumber0 @ SY182 )
| ~ ( isPrime0 @ SY182 )
| ~ ( doDivides0 @ SY182 @ ( sdtasdt0 @ SV25 @ SY181 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY181 ) @ SY182 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY182 @ SV25 )
| ~ ( ( SY181
!= ( sdtasdt0 @ SY182 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) ) )
| ~ ! [SY183: $i,SY184: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY183 )
| ~ ( aNaturalNumber0 @ SY184 )
| ~ ( isPrime0 @ SY184 )
| ~ ( doDivides0 @ SY184 @ ( sdtasdt0 @ SV25 @ SY183 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY183 ) @ SY184 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY184 @ SV25 )
| ( doDivides0 @ SY184 @ SY183 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(539,plain,
( ( ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(540,plain,
( ( ~ ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(541,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)],[486]) ).
thf(542,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)],[488]) ).
thf(543,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)],[489]) ).
thf(544,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)],[490]) ).
thf(545,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)],[491]) ).
thf(546,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)],[492]) ).
thf(547,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)],[494]) ).
thf(548,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)],[495]) ).
thf(549,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)],[496]) ).
thf(550,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)],[497]) ).
thf(551,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)],[498]) ).
thf(552,plain,
! [SV41: $i,SV18: $i] :
( ( ( ( SV18 = sz00 )
| ~ ( doDivides0 @ SV18 @ SV41 ) )
= $true )
| ( ( ! [SY191: $i] :
( ~ ( aNaturalNumber0 @ SY191 )
| ( ( sdtasdt0 @ SY191 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY191 @ SV41 ) @ SV18 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV18 )
= $false )
| ( ( aNaturalNumber0 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(553,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)],[500]) ).
thf(554,plain,
( ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(555,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)],[502]) ).
thf(556,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)],[503]) ).
thf(557,plain,
! [SV20: $i] :
( ( ! [SY124: $i,SY125: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY124 )
| ~ ( aNaturalNumber0 @ SY125 )
| ( SV20 = sz00 )
| ( SY124 = SY125 )
| ~ ( sdtlseqdt0 @ SY124 @ SY125 )
| ( ( sdtasdt0 @ SY124 @ SV20 )
!= ( sdtasdt0 @ SY125 @ SV20 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(558,plain,
! [SV20: $i] :
( ( ~ ( ~ ! [SY126: $i,SY127: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY126 )
| ~ ( aNaturalNumber0 @ SY127 )
| ( SV20 = sz00 )
| ( SY126 = SY127 )
| ~ ( sdtlseqdt0 @ SY126 @ SY127 )
| ( ( sdtasdt0 @ SV20 @ SY126 )
!= ( sdtasdt0 @ SV20 @ SY127 ) ) )
| ~ ! [SY128: $i,SY129: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY128 )
| ~ ( aNaturalNumber0 @ SY129 )
| ( SV20 = sz00 )
| ( SY128 = SY129 )
| ~ ( sdtlseqdt0 @ SY128 @ SY129 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SY128 ) @ ( sdtasdt0 @ SV20 @ SY129 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(559,plain,
! [SV76: $i,SV67: $i,SV20: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV67 )
| ~ ( aNaturalNumber0 @ SV76 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV67 = SV76 )
| ~ ( sdtlseqdt0 @ SV67 @ SV76 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV67 @ SV20 ) @ ( sdtasdt0 @ SV76 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(560,plain,
! [SV21: $i] :
( ( ( ! [SY132: $i,SY133: $i] :
( ~ ( aNaturalNumber0 @ SY132 )
| ~ ( aNaturalNumber0 @ SY133 )
| ( ( sdtasdt0 @ SV21 @ SY132 )
!= ( sdtasdt0 @ SV21 @ SY133 ) )
| ( SY132 = SY133 ) ) )
= $true )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(561,plain,
! [SV21: $i] :
( ( ( ! [SY134: $i,SY135: $i] :
( ~ ( aNaturalNumber0 @ SY134 )
| ~ ( aNaturalNumber0 @ SY135 )
| ( ( sdtasdt0 @ SY134 @ SV21 )
!= ( sdtasdt0 @ SY135 @ SV21 ) )
| ( SY134 = SY135 ) ) )
= $true )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(562,plain,
! [SV77: $i,SV68: $i,SV22: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SV68 )
| ~ ( aNaturalNumber0 @ SV77 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV22 @ SV68 )
!= ( sdtpldt0 @ SV22 @ SV77 ) )
| ( SV68 = SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(563,plain,
! [SV78: $i,SV69: $i,SV22: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SV69 )
| ~ ( aNaturalNumber0 @ SV78 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV69 @ SV22 )
!= ( sdtpldt0 @ SV78 @ SV22 ) )
| ( SV69 = SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[514]) ).
thf(564,plain,
! [SV70: $i,SV52: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV52 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV70 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV52 @ SV70 )
!= sz00 )
| ( SV52 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[515]) ).
thf(565,plain,
! [SV71: $i,SV53: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV53 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV71 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV53 @ SV71 )
!= sz00 )
| ( SV71 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(566,plain,
! [SV54: $i] :
( ( ( ( sz10 != SV54 ) )
= $true )
| ( ( ( SV54 = sz00 )
| ( SV54 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(567,plain,
! [SV55: $i] :
( ( ( sdtlseqdt0 @ sz10 @ SV55 )
= $true )
| ( ( ( SV55 = sz00 )
| ( SV55 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(568,plain,
! [SV72: $i,SV58: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV58 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV72 ) )
= $true )
| ( ( ( SV72 != SV58 )
| ( sdtlseqdt0 @ SV58 @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(569,plain,
! [SV73: $i,SV59: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV59 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV73 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV73 @ SV59 )
| ( sdtlseqdt0 @ SV59 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(570,plain,
! [SV23: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV23 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV23 ) @ SV23 ) ) )
= $false )
| ( ( SV23 = sz10 )
= $true )
| ( ( SV23 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[523]) ).
thf(571,plain,
! [SV23: $i] :
( ( ( ~ ( isPrime0 @ ( sK1_W1 @ SV23 ) ) )
= $false )
| ( ( SV23 = sz10 )
= $true )
| ( ( SV23 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[523]) ).
thf(572,plain,
! [SV60: $i] :
( ( ( aNaturalNumber0 @ SV60 )
= $false )
| ( ( ( sdtpldt0 @ xp @ SV60 )
= xm )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(573,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(574,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(575,plain,
( ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(576,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(577,plain,
! [SV42: $i,SV24: $i] :
( ( ( ( SV24 = SV42 )
| ~ ( sdtlseqdt0 @ SV24 @ SV42 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY192: $i] :
( ~ ( aNaturalNumber0 @ SY192 )
| ( ( sdtpldt0 @ SV24 @ SY192 )
!= ( sdtpldt0 @ SV42 @ SY192 ) ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) )
| ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) ) )
| ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV24 @ SY195 ) @ ( sdtpldt0 @ SV42 @ SY195 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(578,plain,
! [SV63: $i] :
( ( ( aNaturalNumber0 @ SV63 )
= $false )
| ( ( ( sdtpldt0 @ xp @ SV63 )
= xn )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(579,plain,
! [SV25: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV25 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY146 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( ( SY145
!= ( sdtasdt0 @ SY146 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) ) )
| ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV25 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY149 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ( doDivides0 @ SY149 @ SY148 ) ) )
| ~ ~ ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV25 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV25 )
| ~ ( ( SY151
!= ( sdtasdt0 @ SY152 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) ) )
| ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ! [SY156: $i] :
( ( ( sdtasdt0 @ SV25 @ SY154 )
!= ( sdtasdt0 @ SY155 @ SY156 ) )
| ~ ( aNaturalNumber0 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY155 @ SV25 )
| ( doDivides0 @ SY155 @ SY154 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(580,plain,
! [SV25: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY158
!= ( sdtasdt0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ SY158 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= SY158 ) ) ) )
| ( SY158 = sz00 )
| ( SY158 = sz10 )
| ~ ( doDivides0 @ SY158 @ ( sdtasdt0 @ SV25 @ SY157 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY157 ) @ SY158 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY158 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( ( SY157
!= ( sdtasdt0 @ SY158 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) ) )
| ~ ! [SY159: $i,SY160: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY160
!= ( sdtasdt0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ SY160 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= SY160 ) ) ) )
| ( SY160 = sz00 )
| ( SY160 = sz10 )
| ~ ( doDivides0 @ SY160 @ ( sdtasdt0 @ SV25 @ SY159 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY159 ) @ SY160 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY160 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ( doDivides0 @ SY160 @ SY159 ) ) )
| ~ ~ ( ~ ! [SY161: $i,SY162: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY162
!= ( sdtasdt0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ SY162 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= SY162 ) ) ) )
| ( SY162 = sz00 )
| ( SY162 = sz10 )
| ~ ( doDivides0 @ SY162 @ ( sdtasdt0 @ SV25 @ SY161 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY161 ) @ SY162 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY162 @ SV25 )
| ~ ( ( SY161
!= ( sdtasdt0 @ SY162 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) ) )
| ~ ! [SY163: $i,SY164: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( aNaturalNumber0 @ SY164 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY164
!= ( sdtasdt0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ SY164 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= SY164 ) ) ) )
| ( SY164 = sz00 )
| ( SY164 = sz10 )
| ~ ( doDivides0 @ SY164 @ ( sdtasdt0 @ SV25 @ SY163 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY163 ) @ SY164 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY164 @ SV25 )
| ( doDivides0 @ SY164 @ SY163 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(581,plain,
! [SV25: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV25 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY166 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( ( SY165
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV25 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ( doDivides0 @ SY169 @ SY168 ) ) )
| ~ ~ ( ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV25 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV25 )
| ~ ( ( SY171
!= ( sdtasdt0 @ SY172 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ! [SY176: $i] :
( ( ( sdtasdt0 @ SV25 @ SY174 )
!= ( sdtasdt0 @ SY175 @ SY176 ) )
| ~ ( aNaturalNumber0 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY175 @ SV25 )
| ( doDivides0 @ SY175 @ SY174 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(582,plain,
! [SV25: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY177: $i,SY178: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( isPrime0 @ SY178 )
| ~ ( doDivides0 @ SY178 @ ( sdtasdt0 @ SV25 @ SY177 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY177 ) @ SY178 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY178 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( ( SY177
!= ( sdtasdt0 @ SY178 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) ) )
| ~ ! [SY179: $i,SY180: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( isPrime0 @ SY180 )
| ~ ( doDivides0 @ SY180 @ ( sdtasdt0 @ SV25 @ SY179 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY179 ) @ SY180 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY180 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ( doDivides0 @ SY180 @ SY179 ) ) )
| ~ ~ ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( aNaturalNumber0 @ SY182 )
| ~ ( isPrime0 @ SY182 )
| ~ ( doDivides0 @ SY182 @ ( sdtasdt0 @ SV25 @ SY181 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY181 ) @ SY182 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY182 @ SV25 )
| ~ ( ( SY181
!= ( sdtasdt0 @ SY182 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) ) )
| ~ ! [SY183: $i,SY184: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY183 )
| ~ ( aNaturalNumber0 @ SY184 )
| ~ ( isPrime0 @ SY184 )
| ~ ( doDivides0 @ SY184 @ ( sdtasdt0 @ SV25 @ SY183 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY183 ) @ SY184 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY184 @ SV25 )
| ( doDivides0 @ SY184 @ SY183 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[538]) ).
thf(583,plain,
( ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(584,plain,
( ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(585,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)],[541]) ).
thf(586,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)],[542]) ).
thf(587,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)],[543]) ).
thf(588,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)],[544]) ).
thf(589,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)],[545]) ).
thf(590,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)],[547]) ).
thf(591,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)],[548]) ).
thf(592,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)],[549]) ).
thf(593,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)],[550]) ).
thf(594,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)],[551]) ).
thf(595,plain,
! [SV41: $i,SV18: $i] :
( ( ( SV18 = sz00 )
= $true )
| ( ( ~ ( doDivides0 @ SV18 @ SV41 ) )
= $true )
| ( ( ! [SY191: $i] :
( ~ ( aNaturalNumber0 @ SY191 )
| ( ( sdtasdt0 @ SY191 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY191 @ SV41 ) @ SV18 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV18 )
= $false )
| ( ( aNaturalNumber0 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(596,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(597,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(598,plain,
( ( ~ ( ( xr != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(599,plain,
( ( ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(600,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)],[555]) ).
thf(601,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)],[556]) ).
thf(602,plain,
! [SV79: $i,SV20: $i] :
( ( ! [SY205: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV79 )
| ~ ( aNaturalNumber0 @ SY205 )
| ( SV20 = sz00 )
| ( SV79 = SY205 )
| ~ ( sdtlseqdt0 @ SV79 @ SY205 )
| ( ( sdtasdt0 @ SV79 @ SV20 )
!= ( sdtasdt0 @ SY205 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(603,plain,
! [SV20: $i] :
( ( ~ ! [SY126: $i,SY127: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY126 )
| ~ ( aNaturalNumber0 @ SY127 )
| ( SV20 = sz00 )
| ( SY126 = SY127 )
| ~ ( sdtlseqdt0 @ SY126 @ SY127 )
| ( ( sdtasdt0 @ SV20 @ SY126 )
!= ( sdtasdt0 @ SV20 @ SY127 ) ) )
| ~ ! [SY128: $i,SY129: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY128 )
| ~ ( aNaturalNumber0 @ SY129 )
| ( SV20 = sz00 )
| ( SY128 = SY129 )
| ~ ( sdtlseqdt0 @ SY128 @ SY129 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SY128 ) @ ( sdtasdt0 @ SV20 @ SY129 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(604,plain,
! [SV76: $i,SV67: $i,SV20: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV67 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV76 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV67 = SV76 )
| ~ ( sdtlseqdt0 @ SV67 @ SV76 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV67 @ SV20 ) @ ( sdtasdt0 @ SV76 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(605,plain,
! [SV21: $i,SV80: $i] :
( ( ( ! [SY206: $i] :
( ~ ( aNaturalNumber0 @ SV80 )
| ~ ( aNaturalNumber0 @ SY206 )
| ( ( sdtasdt0 @ SV21 @ SV80 )
!= ( sdtasdt0 @ SV21 @ SY206 ) )
| ( SV80 = SY206 ) ) )
= $true )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(606,plain,
! [SV21: $i,SV81: $i] :
( ( ( ! [SY207: $i] :
( ~ ( aNaturalNumber0 @ SV81 )
| ~ ( aNaturalNumber0 @ SY207 )
| ( ( sdtasdt0 @ SV81 @ SV21 )
!= ( sdtasdt0 @ SY207 @ SV21 ) )
| ( SV81 = SY207 ) ) )
= $true )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(607,plain,
! [SV77: $i,SV68: $i,SV22: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SV68 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV77 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV22 @ SV68 )
!= ( sdtpldt0 @ SV22 @ SV77 ) )
| ( SV68 = SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[562]) ).
thf(608,plain,
! [SV78: $i,SV69: $i,SV22: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV22 )
| ~ ( aNaturalNumber0 @ SV69 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV78 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV69 @ SV22 )
!= ( sdtpldt0 @ SV78 @ SV22 ) )
| ( SV69 = SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[563]) ).
thf(609,plain,
! [SV70: $i,SV52: $i] :
( ( ( aNaturalNumber0 @ SV52 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV70 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV52 @ SV70 )
!= sz00 )
| ( SV52 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(610,plain,
! [SV71: $i,SV53: $i] :
( ( ( aNaturalNumber0 @ SV53 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV71 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV53 @ SV71 )
!= sz00 )
| ( SV71 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(611,plain,
! [SV54: $i] :
( ( ( sz10 = SV54 )
= $false )
| ( ( ( SV54 = sz00 )
| ( SV54 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(612,plain,
! [SV55: $i] :
( ( ( SV55 = sz00 )
= $true )
| ( ( SV55 = sz10 )
= $true )
| ( ( sdtlseqdt0 @ sz10 @ SV55 )
= $true )
| ( ( aNaturalNumber0 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(613,plain,
! [SV72: $i,SV58: $i] :
( ( ( aNaturalNumber0 @ SV58 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV72 ) )
= $true )
| ( ( ( SV72 != SV58 )
| ( sdtlseqdt0 @ SV58 @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(614,plain,
! [SV73: $i,SV59: $i] :
( ( ( aNaturalNumber0 @ SV59 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV73 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV73 @ SV59 )
| ( sdtlseqdt0 @ SV59 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(615,plain,
! [SV23: $i] :
( ( ( ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV23 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV23 ) @ SV23 ) ) )
= $true )
| ( ( SV23 = sz10 )
= $true )
| ( ( SV23 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(616,plain,
! [SV23: $i] :
( ( ( isPrime0 @ ( sK1_W1 @ SV23 ) )
= $true )
| ( ( SV23 = sz10 )
= $true )
| ( ( SV23 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(617,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)],[573]) ).
thf(618,plain,
( ( ~ ( isPrime0 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[573]) ).
thf(619,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK7_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(620,plain,
( ( ~ ( aNaturalNumber0 @ sK7_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(621,plain,
( ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(622,plain,
( ( ~ ( aNaturalNumber0 @ sK3_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(623,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[576]) ).
thf(624,plain,
( ( ~ ( aNaturalNumber0 @ sK2_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[576]) ).
thf(625,plain,
! [SV42: $i,SV24: $i] :
( ( ( SV24 = SV42 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV24 @ SV42 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY192: $i] :
( ~ ( aNaturalNumber0 @ SY192 )
| ( ( sdtpldt0 @ SV24 @ SY192 )
!= ( sdtpldt0 @ SV42 @ SY192 ) ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) )
| ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) ) )
| ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV24 @ SY195 ) @ ( sdtpldt0 @ SV42 @ SY195 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(626,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV25 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY146 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( ( SY145
!= ( sdtasdt0 @ SY146 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) ) )
| ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV25 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY149 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ( doDivides0 @ SY149 @ SY148 ) ) )
| ~ ~ ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV25 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV25 )
| ~ ( ( SY151
!= ( sdtasdt0 @ SY152 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) ) )
| ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ! [SY156: $i] :
( ( ( sdtasdt0 @ SV25 @ SY154 )
!= ( sdtasdt0 @ SY155 @ SY156 ) )
| ~ ( aNaturalNumber0 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY155 @ SV25 )
| ( doDivides0 @ SY155 @ SY154 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(627,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY158
!= ( sdtasdt0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ SY158 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= SY158 ) ) ) )
| ( SY158 = sz00 )
| ( SY158 = sz10 )
| ~ ( doDivides0 @ SY158 @ ( sdtasdt0 @ SV25 @ SY157 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY157 ) @ SY158 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY158 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( ( SY157
!= ( sdtasdt0 @ SY158 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) ) )
| ~ ! [SY159: $i,SY160: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY160
!= ( sdtasdt0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ SY160 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= SY160 ) ) ) )
| ( SY160 = sz00 )
| ( SY160 = sz10 )
| ~ ( doDivides0 @ SY160 @ ( sdtasdt0 @ SV25 @ SY159 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY159 ) @ SY160 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY160 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ( doDivides0 @ SY160 @ SY159 ) ) )
| ~ ~ ( ~ ! [SY161: $i,SY162: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY162
!= ( sdtasdt0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ SY162 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= SY162 ) ) ) )
| ( SY162 = sz00 )
| ( SY162 = sz10 )
| ~ ( doDivides0 @ SY162 @ ( sdtasdt0 @ SV25 @ SY161 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY161 ) @ SY162 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY162 @ SV25 )
| ~ ( ( SY161
!= ( sdtasdt0 @ SY162 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) ) )
| ~ ! [SY163: $i,SY164: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( aNaturalNumber0 @ SY164 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY164
!= ( sdtasdt0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ SY164 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= SY164 ) ) ) )
| ( SY164 = sz00 )
| ( SY164 = sz10 )
| ~ ( doDivides0 @ SY164 @ ( sdtasdt0 @ SV25 @ SY163 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY163 ) @ SY164 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY164 @ SV25 )
| ( doDivides0 @ SY164 @ SY163 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(628,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV25 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY166 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( ( SY165
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV25 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ( doDivides0 @ SY169 @ SY168 ) ) )
| ~ ~ ( ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV25 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV25 )
| ~ ( ( SY171
!= ( sdtasdt0 @ SY172 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ! [SY176: $i] :
( ( ( sdtasdt0 @ SV25 @ SY174 )
!= ( sdtasdt0 @ SY175 @ SY176 ) )
| ~ ( aNaturalNumber0 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY175 @ SV25 )
| ( doDivides0 @ SY175 @ SY174 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(629,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ! [SY177: $i,SY178: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( isPrime0 @ SY178 )
| ~ ( doDivides0 @ SY178 @ ( sdtasdt0 @ SV25 @ SY177 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY177 ) @ SY178 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY178 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( ( SY177
!= ( sdtasdt0 @ SY178 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) ) )
| ~ ! [SY179: $i,SY180: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( isPrime0 @ SY180 )
| ~ ( doDivides0 @ SY180 @ ( sdtasdt0 @ SV25 @ SY179 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY179 ) @ SY180 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY180 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ( doDivides0 @ SY180 @ SY179 ) ) )
| ~ ~ ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( aNaturalNumber0 @ SY182 )
| ~ ( isPrime0 @ SY182 )
| ~ ( doDivides0 @ SY182 @ ( sdtasdt0 @ SV25 @ SY181 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY181 ) @ SY182 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY182 @ SV25 )
| ~ ( ( SY181
!= ( sdtasdt0 @ SY182 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) ) )
| ~ ! [SY183: $i,SY184: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY183 )
| ~ ( aNaturalNumber0 @ SY184 )
| ~ ( isPrime0 @ SY184 )
| ~ ( doDivides0 @ SY184 @ ( sdtasdt0 @ SV25 @ SY183 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY183 ) @ SY184 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY184 @ SV25 )
| ( doDivides0 @ SY184 @ SY183 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(630,plain,
( ( ~ ( ( xm != xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(631,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(632,plain,
( ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(633,plain,
( ( ~ ( aNaturalNumber0 @ sK5_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(634,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)],[585]) ).
thf(635,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)],[586]) ).
thf(636,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)],[587]) ).
thf(637,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)],[588]) ).
thf(638,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)],[589]) ).
thf(639,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)],[590]) ).
thf(640,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)],[591]) ).
thf(641,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)],[592]) ).
thf(642,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)],[593]) ).
thf(643,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)],[594]) ).
thf(644,plain,
! [SV41: $i,SV18: $i] :
( ( ( doDivides0 @ SV18 @ SV41 )
= $false )
| ( ( SV18 = sz00 )
= $true )
| ( ( ! [SY191: $i] :
( ~ ( aNaturalNumber0 @ SY191 )
| ( ( sdtasdt0 @ SY191 @ ( sdtsldt0 @ SV41 @ SV18 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY191 @ SV41 ) @ SV18 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV18 )
= $false )
| ( ( aNaturalNumber0 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(645,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[596]) ).
thf(646,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[597]) ).
thf(647,plain,
( ( ( xr != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[598]) ).
thf(648,plain,
( ( ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(649,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)],[600]) ).
thf(650,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)],[601]) ).
thf(651,plain,
! [SV82: $i,SV79: $i,SV20: $i] :
( ( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV79 )
| ~ ( aNaturalNumber0 @ SV82 )
| ( SV20 = sz00 )
| ( SV79 = SV82 )
| ~ ( sdtlseqdt0 @ SV79 @ SV82 )
| ( ( sdtasdt0 @ SV79 @ SV20 )
!= ( sdtasdt0 @ SV82 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(652,plain,
! [SV20: $i] :
( ( ~ ! [SY126: $i,SY127: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY126 )
| ~ ( aNaturalNumber0 @ SY127 )
| ( SV20 = sz00 )
| ( SY126 = SY127 )
| ~ ( sdtlseqdt0 @ SY126 @ SY127 )
| ( ( sdtasdt0 @ SV20 @ SY126 )
!= ( sdtasdt0 @ SV20 @ SY127 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[603]) ).
thf(653,plain,
! [SV20: $i] :
( ( ~ ! [SY128: $i,SY129: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY128 )
| ~ ( aNaturalNumber0 @ SY129 )
| ( SV20 = sz00 )
| ( SY128 = SY129 )
| ~ ( sdtlseqdt0 @ SY128 @ SY129 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SY128 ) @ ( sdtasdt0 @ SV20 @ SY129 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[603]) ).
thf(654,plain,
! [SV76: $i,SV67: $i,SV20: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV20 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV67 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV76 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV67 = SV76 )
| ~ ( sdtlseqdt0 @ SV67 @ SV76 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV67 @ SV20 ) @ ( sdtasdt0 @ SV76 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(655,plain,
! [SV21: $i,SV83: $i,SV80: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV80 )
| ~ ( aNaturalNumber0 @ SV83 )
| ( ( sdtasdt0 @ SV21 @ SV80 )
!= ( sdtasdt0 @ SV21 @ SV83 ) )
| ( SV80 = SV83 ) )
= $true )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(656,plain,
! [SV21: $i,SV84: $i,SV81: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV81 )
| ~ ( aNaturalNumber0 @ SV84 )
| ( ( sdtasdt0 @ SV81 @ SV21 )
!= ( sdtasdt0 @ SV84 @ SV21 ) )
| ( SV81 = SV84 ) )
= $true )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(657,plain,
! [SV77: $i,SV68: $i,SV22: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV22 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV68 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV77 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV22 @ SV68 )
!= ( sdtpldt0 @ SV22 @ SV77 ) )
| ( SV68 = SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(658,plain,
! [SV78: $i,SV69: $i,SV22: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV22 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV69 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV78 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV69 @ SV22 )
!= ( sdtpldt0 @ SV78 @ SV22 ) )
| ( SV69 = SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(659,plain,
! [SV52: $i,SV70: $i] :
( ( ( aNaturalNumber0 @ SV70 )
= $false )
| ( ( aNaturalNumber0 @ SV52 )
= $false )
| ( ( ( ( sdtpldt0 @ SV52 @ SV70 )
!= sz00 )
| ( SV52 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(660,plain,
! [SV53: $i,SV71: $i] :
( ( ( aNaturalNumber0 @ SV71 )
= $false )
| ( ( aNaturalNumber0 @ SV53 )
= $false )
| ( ( ( ( sdtpldt0 @ SV53 @ SV71 )
!= sz00 )
| ( SV71 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(661,plain,
! [SV54: $i] :
( ( ( SV54 = sz00 )
= $true )
| ( ( SV54 = sz10 )
= $true )
| ( ( sz10 = SV54 )
= $false )
| ( ( aNaturalNumber0 @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(662,plain,
! [SV58: $i,SV72: $i] :
( ( ( aNaturalNumber0 @ SV72 )
= $false )
| ( ( aNaturalNumber0 @ SV58 )
= $false )
| ( ( ( SV72 != SV58 )
| ( sdtlseqdt0 @ SV58 @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(663,plain,
! [SV59: $i,SV73: $i] :
( ( ( aNaturalNumber0 @ SV73 )
= $false )
| ( ( aNaturalNumber0 @ SV59 )
= $false )
| ( ( ( sdtlseqdt0 @ SV73 @ SV59 )
| ( sdtlseqdt0 @ SV59 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(664,plain,
! [SV23: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV23 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV23 ) @ SV23 ) )
= $false )
| ( ( SV23 = sz10 )
= $true )
| ( ( SV23 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(665,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)],[617]) ).
thf(666,plain,
( ( isPrime0 @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[618]) ).
thf(667,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ sK7_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(668,plain,
( ( aNaturalNumber0 @ sK7_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[620]) ).
thf(669,plain,
( ( ( sdtpldt0 @ xr @ sK3_W0 )
= xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[621]) ).
thf(670,plain,
( ( aNaturalNumber0 @ sK3_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[622]) ).
thf(671,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sK2_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[623]) ).
thf(672,plain,
( ( aNaturalNumber0 @ sK2_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(673,plain,
! [SV42: $i,SV24: $i] :
( ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( SV24 = SV42 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY192: $i] :
( ~ ( aNaturalNumber0 @ SY192 )
| ( ( sdtpldt0 @ SV24 @ SY192 )
!= ( sdtpldt0 @ SV42 @ SY192 ) ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) )
| ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) ) )
| ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV24 @ SY195 ) @ ( sdtpldt0 @ SV42 @ SY195 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(674,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV25 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY146 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( ( SY145
!= ( sdtasdt0 @ SY146 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) ) )
| ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV25 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY149 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ( doDivides0 @ SY149 @ SY148 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[626]) ).
thf(675,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV25 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV25 )
| ~ ( ( SY151
!= ( sdtasdt0 @ SY152 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) ) )
| ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ! [SY156: $i] :
( ( ( sdtasdt0 @ SV25 @ SY154 )
!= ( sdtasdt0 @ SY155 @ SY156 ) )
| ~ ( aNaturalNumber0 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY155 @ SV25 )
| ( doDivides0 @ SY155 @ SY154 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[626]) ).
thf(676,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY158
!= ( sdtasdt0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ SY158 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= SY158 ) ) ) )
| ( SY158 = sz00 )
| ( SY158 = sz10 )
| ~ ( doDivides0 @ SY158 @ ( sdtasdt0 @ SV25 @ SY157 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY157 ) @ SY158 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY158 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( ( SY157
!= ( sdtasdt0 @ SY158 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) ) )
| ~ ! [SY159: $i,SY160: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY160
!= ( sdtasdt0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ SY160 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= SY160 ) ) ) )
| ( SY160 = sz00 )
| ( SY160 = sz10 )
| ~ ( doDivides0 @ SY160 @ ( sdtasdt0 @ SV25 @ SY159 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY159 ) @ SY160 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY160 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ( doDivides0 @ SY160 @ SY159 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[627]) ).
thf(677,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ! [SY161: $i,SY162: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY162
!= ( sdtasdt0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ SY162 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= SY162 ) ) ) )
| ( SY162 = sz00 )
| ( SY162 = sz10 )
| ~ ( doDivides0 @ SY162 @ ( sdtasdt0 @ SV25 @ SY161 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY161 ) @ SY162 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY162 @ SV25 )
| ~ ( ( SY161
!= ( sdtasdt0 @ SY162 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) ) )
| ~ ! [SY163: $i,SY164: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( aNaturalNumber0 @ SY164 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY164
!= ( sdtasdt0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ SY164 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= SY164 ) ) ) )
| ( SY164 = sz00 )
| ( SY164 = sz10 )
| ~ ( doDivides0 @ SY164 @ ( sdtasdt0 @ SV25 @ SY163 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY163 ) @ SY164 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY164 @ SV25 )
| ( doDivides0 @ SY164 @ SY163 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[627]) ).
thf(678,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV25 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY166 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( ( SY165
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV25 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ( doDivides0 @ SY169 @ SY168 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[628]) ).
thf(679,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV25 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV25 )
| ~ ( ( SY171
!= ( sdtasdt0 @ SY172 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ! [SY176: $i] :
( ( ( sdtasdt0 @ SV25 @ SY174 )
!= ( sdtasdt0 @ SY175 @ SY176 ) )
| ~ ( aNaturalNumber0 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY175 @ SV25 )
| ( doDivides0 @ SY175 @ SY174 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[628]) ).
thf(680,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ! [SY177: $i,SY178: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( isPrime0 @ SY178 )
| ~ ( doDivides0 @ SY178 @ ( sdtasdt0 @ SV25 @ SY177 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY177 ) @ SY178 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY178 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( ( SY177
!= ( sdtasdt0 @ SY178 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) ) )
| ~ ! [SY179: $i,SY180: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( isPrime0 @ SY180 )
| ~ ( doDivides0 @ SY180 @ ( sdtasdt0 @ SV25 @ SY179 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY179 ) @ SY180 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY180 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ( doDivides0 @ SY180 @ SY179 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(681,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( aNaturalNumber0 @ SY182 )
| ~ ( isPrime0 @ SY182 )
| ~ ( doDivides0 @ SY182 @ ( sdtasdt0 @ SV25 @ SY181 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY181 ) @ SY182 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY182 @ SV25 )
| ~ ( ( SY181
!= ( sdtasdt0 @ SY182 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) ) )
| ~ ! [SY183: $i,SY184: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY183 )
| ~ ( aNaturalNumber0 @ SY184 )
| ~ ( isPrime0 @ SY184 )
| ~ ( doDivides0 @ SY184 @ ( sdtasdt0 @ SV25 @ SY183 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY183 ) @ SY184 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY184 @ SV25 )
| ( doDivides0 @ SY184 @ SY183 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(682,plain,
( ( ( xm != xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(683,plain,
( ( ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[631]) ).
thf(684,plain,
( ( ( sdtpldt0 @ xm @ sK5_W0 )
= xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[632]) ).
thf(685,plain,
( ( aNaturalNumber0 @ sK5_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(686,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)],[637]) ).
thf(687,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)],[638]) ).
thf(688,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)],[640]) ).
thf(689,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)],[641]) ).
thf(690,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)],[642]) ).
thf(691,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)],[644]) ).
thf(692,plain,
! [SV86: $i] :
( ( ~ ( aNaturalNumber0 @ SV86 )
| ! [SY208: $i] :
( ( xr
!= ( sdtasdt0 @ SV86 @ SY208 ) )
| ~ ( aNaturalNumber0 @ SY208 ) )
| ( SV86 = sz10 )
| ( SV86 = xr ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(693,plain,
! [SV87: $i] :
( ( ~ ( aNaturalNumber0 @ SV87 )
| ~ ( doDivides0 @ SV87 @ xr )
| ( SV87 = sz10 )
| ( SV87 = xr ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(694,plain,
( ( xr = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(695,plain,
( ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(696,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)],[649]) ).
thf(697,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)],[650]) ).
thf(698,plain,
! [SV82: $i,SV79: $i,SV20: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV79 )
| ~ ( aNaturalNumber0 @ SV82 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV79 = SV82 )
| ~ ( sdtlseqdt0 @ SV79 @ SV82 )
| ( ( sdtasdt0 @ SV79 @ SV20 )
!= ( sdtasdt0 @ SV82 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(699,plain,
! [SV20: $i] :
( ( ! [SY126: $i,SY127: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY126 )
| ~ ( aNaturalNumber0 @ SY127 )
| ( SV20 = sz00 )
| ( SY126 = SY127 )
| ~ ( sdtlseqdt0 @ SY126 @ SY127 )
| ( ( sdtasdt0 @ SV20 @ SY126 )
!= ( sdtasdt0 @ SV20 @ SY127 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(700,plain,
! [SV20: $i] :
( ( ! [SY128: $i,SY129: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SY128 )
| ~ ( aNaturalNumber0 @ SY129 )
| ( SV20 = sz00 )
| ( SY128 = SY129 )
| ~ ( sdtlseqdt0 @ SY128 @ SY129 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SY128 ) @ ( sdtasdt0 @ SV20 @ SY129 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(701,plain,
! [SV76: $i,SV67: $i,SV20: $i] :
( ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV67 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV76 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV67 = SV76 )
| ~ ( sdtlseqdt0 @ SV67 @ SV76 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV67 @ SV20 ) @ ( sdtasdt0 @ SV76 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(702,plain,
! [SV21: $i,SV83: $i,SV80: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV80 )
| ~ ( aNaturalNumber0 @ SV83 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV21 @ SV80 )
!= ( sdtasdt0 @ SV21 @ SV83 ) )
| ( SV80 = SV83 ) )
= $true )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(703,plain,
! [SV21: $i,SV84: $i,SV81: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV81 )
| ~ ( aNaturalNumber0 @ SV84 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV81 @ SV21 )
!= ( sdtasdt0 @ SV84 @ SV21 ) )
| ( SV81 = SV84 ) )
= $true )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(704,plain,
! [SV77: $i,SV68: $i,SV22: $i] :
( ( ( aNaturalNumber0 @ SV22 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV68 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV77 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV22 @ SV68 )
!= ( sdtpldt0 @ SV22 @ SV77 ) )
| ( SV68 = SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(705,plain,
! [SV78: $i,SV69: $i,SV22: $i] :
( ( ( aNaturalNumber0 @ SV22 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV69 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV78 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV69 @ SV22 )
!= ( sdtpldt0 @ SV78 @ SV22 ) )
| ( SV69 = SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(706,plain,
! [SV70: $i,SV52: $i] :
( ( ( ( ( sdtpldt0 @ SV52 @ SV70 )
!= sz00 ) )
= $true )
| ( ( SV52 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV52 )
= $false )
| ( ( aNaturalNumber0 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(707,plain,
! [SV71: $i,SV53: $i] :
( ( ( ( ( sdtpldt0 @ SV53 @ SV71 )
!= sz00 ) )
= $true )
| ( ( SV71 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV53 )
= $false )
| ( ( aNaturalNumber0 @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(708,plain,
! [SV58: $i,SV72: $i] :
( ( ( ( SV72 != SV58 ) )
= $true )
| ( ( sdtlseqdt0 @ SV58 @ SV72 )
= $true )
| ( ( aNaturalNumber0 @ SV58 )
= $false )
| ( ( aNaturalNumber0 @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(709,plain,
! [SV59: $i,SV73: $i] :
( ( ( sdtlseqdt0 @ SV73 @ SV59 )
= $true )
| ( ( sdtlseqdt0 @ SV59 @ SV73 )
= $true )
| ( ( aNaturalNumber0 @ SV59 )
= $false )
| ( ( aNaturalNumber0 @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(710,plain,
! [SV23: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV23 ) ) )
= $false )
| ( ( SV23 = sz10 )
= $true )
| ( ( SV23 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(711,plain,
! [SV23: $i] :
( ( ( ~ ( doDivides0 @ ( sK1_W1 @ SV23 ) @ SV23 ) )
= $false )
| ( ( SV23 = sz10 )
= $true )
| ( ( SV23 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(712,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)],[665]) ).
thf(713,plain,
! [SV42: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ! [SY192: $i] :
( ~ ( aNaturalNumber0 @ SY192 )
| ( ( sdtpldt0 @ SV24 @ SY192 )
!= ( sdtpldt0 @ SV42 @ SY192 ) ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) )
| ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) ) )
| ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV24 @ SY195 ) @ ( sdtpldt0 @ SV42 @ SY195 ) ) ) )
= $false )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(714,plain,
! [SV25: $i] :
( ( ~ ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV25 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY146 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( ( SY145
!= ( sdtasdt0 @ SY146 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) ) )
| ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV25 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY149 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ( doDivides0 @ SY149 @ SY148 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(715,plain,
! [SV25: $i] :
( ( ~ ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV25 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV25 )
| ~ ( ( SY151
!= ( sdtasdt0 @ SY152 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) ) )
| ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ! [SY156: $i] :
( ( ( sdtasdt0 @ SV25 @ SY154 )
!= ( sdtasdt0 @ SY155 @ SY156 ) )
| ~ ( aNaturalNumber0 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY155 @ SV25 )
| ( doDivides0 @ SY155 @ SY154 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[675]) ).
thf(716,plain,
! [SV25: $i] :
( ( ~ ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY158
!= ( sdtasdt0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ SY158 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= SY158 ) ) ) )
| ( SY158 = sz00 )
| ( SY158 = sz10 )
| ~ ( doDivides0 @ SY158 @ ( sdtasdt0 @ SV25 @ SY157 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY157 ) @ SY158 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY158 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( ( SY157
!= ( sdtasdt0 @ SY158 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) ) )
| ~ ! [SY159: $i,SY160: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY160
!= ( sdtasdt0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ SY160 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= SY160 ) ) ) )
| ( SY160 = sz00 )
| ( SY160 = sz10 )
| ~ ( doDivides0 @ SY160 @ ( sdtasdt0 @ SV25 @ SY159 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY159 ) @ SY160 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY160 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ( doDivides0 @ SY160 @ SY159 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(717,plain,
! [SV25: $i] :
( ( ~ ( ~ ! [SY161: $i,SY162: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY162
!= ( sdtasdt0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ SY162 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= SY162 ) ) ) )
| ( SY162 = sz00 )
| ( SY162 = sz10 )
| ~ ( doDivides0 @ SY162 @ ( sdtasdt0 @ SV25 @ SY161 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY161 ) @ SY162 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY162 @ SV25 )
| ~ ( ( SY161
!= ( sdtasdt0 @ SY162 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) ) )
| ~ ! [SY163: $i,SY164: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( aNaturalNumber0 @ SY164 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY164
!= ( sdtasdt0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ SY164 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= SY164 ) ) ) )
| ( SY164 = sz00 )
| ( SY164 = sz10 )
| ~ ( doDivides0 @ SY164 @ ( sdtasdt0 @ SV25 @ SY163 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY163 ) @ SY164 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY164 @ SV25 )
| ( doDivides0 @ SY164 @ SY163 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[677]) ).
thf(718,plain,
! [SV25: $i] :
( ( ~ ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV25 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY166 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( ( SY165
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV25 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ( doDivides0 @ SY169 @ SY168 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(719,plain,
! [SV25: $i] :
( ( ~ ( ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV25 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV25 )
| ~ ( ( SY171
!= ( sdtasdt0 @ SY172 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ! [SY176: $i] :
( ( ( sdtasdt0 @ SV25 @ SY174 )
!= ( sdtasdt0 @ SY175 @ SY176 ) )
| ~ ( aNaturalNumber0 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY175 @ SV25 )
| ( doDivides0 @ SY175 @ SY174 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(720,plain,
! [SV25: $i] :
( ( ~ ( ~ ! [SY177: $i,SY178: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( isPrime0 @ SY178 )
| ~ ( doDivides0 @ SY178 @ ( sdtasdt0 @ SV25 @ SY177 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY177 ) @ SY178 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY178 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( ( SY177
!= ( sdtasdt0 @ SY178 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) ) )
| ~ ! [SY179: $i,SY180: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( isPrime0 @ SY180 )
| ~ ( doDivides0 @ SY180 @ ( sdtasdt0 @ SV25 @ SY179 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY179 ) @ SY180 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY180 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ( doDivides0 @ SY180 @ SY179 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(721,plain,
! [SV25: $i] :
( ( ~ ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( aNaturalNumber0 @ SY182 )
| ~ ( isPrime0 @ SY182 )
| ~ ( doDivides0 @ SY182 @ ( sdtasdt0 @ SV25 @ SY181 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY181 ) @ SY182 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY182 @ SV25 )
| ~ ( ( SY181
!= ( sdtasdt0 @ SY182 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) ) )
| ~ ! [SY183: $i,SY184: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY183 )
| ~ ( aNaturalNumber0 @ SY184 )
| ~ ( isPrime0 @ SY184 )
| ~ ( doDivides0 @ SY184 @ ( sdtasdt0 @ SV25 @ SY183 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY183 ) @ SY184 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY184 @ SV25 )
| ( doDivides0 @ SY184 @ SY183 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[681]) ).
thf(722,plain,
( ( xm = xp )
= $false ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(723,plain,
( ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(724,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)],[687]) ).
thf(725,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)],[688]) ).
thf(726,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)],[689]) ).
thf(727,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)],[690]) ).
thf(728,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)],[691]) ).
thf(729,plain,
! [SV86: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV86 )
| ! [SY208: $i] :
( ( xr
!= ( sdtasdt0 @ SV86 @ SY208 ) )
| ~ ( aNaturalNumber0 @ SY208 ) ) )
= $true )
| ( ( ( SV86 = sz10 )
| ( SV86 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[692]) ).
thf(730,plain,
! [SV87: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV87 )
| ~ ( doDivides0 @ SV87 @ xr ) )
= $true )
| ( ( ( SV87 = sz10 )
| ( SV87 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[693]) ).
thf(731,plain,
( ( ~ ( ( xr != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(732,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(733,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)],[696]) ).
thf(734,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)],[697]) ).
thf(735,plain,
! [SV82: $i,SV79: $i,SV20: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV79 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV82 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV79 = SV82 )
| ~ ( sdtlseqdt0 @ SV79 @ SV82 )
| ( ( sdtasdt0 @ SV79 @ SV20 )
!= ( sdtasdt0 @ SV82 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[698]) ).
thf(736,plain,
! [SV88: $i,SV20: $i] :
( ( ! [SY209: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV88 )
| ~ ( aNaturalNumber0 @ SY209 )
| ( SV20 = sz00 )
| ( SV88 = SY209 )
| ~ ( sdtlseqdt0 @ SV88 @ SY209 )
| ( ( sdtasdt0 @ SV20 @ SV88 )
!= ( sdtasdt0 @ SV20 @ SY209 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(737,plain,
! [SV89: $i,SV20: $i] :
( ( ! [SY210: $i] :
( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV89 )
| ~ ( aNaturalNumber0 @ SY210 )
| ( SV20 = sz00 )
| ( SV89 = SY210 )
| ~ ( sdtlseqdt0 @ SV89 @ SY210 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SV89 ) @ ( sdtasdt0 @ SV20 @ SY210 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(738,plain,
! [SV76: $i,SV20: $i,SV67: $i] :
( ( ( aNaturalNumber0 @ SV67 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV76 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV67 = SV76 )
| ~ ( sdtlseqdt0 @ SV67 @ SV76 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV67 @ SV20 ) @ ( sdtasdt0 @ SV76 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(739,plain,
! [SV21: $i,SV83: $i,SV80: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV80 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV83 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV21 @ SV80 )
!= ( sdtasdt0 @ SV21 @ SV83 ) )
| ( SV80 = SV83 ) )
= $true )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(740,plain,
! [SV21: $i,SV84: $i,SV81: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV81 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV84 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV81 @ SV21 )
!= ( sdtasdt0 @ SV84 @ SV21 ) )
| ( SV81 = SV84 ) )
= $true )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[703]) ).
thf(741,plain,
! [SV77: $i,SV22: $i,SV68: $i] :
( ( ( aNaturalNumber0 @ SV68 )
= $false )
| ( ( aNaturalNumber0 @ SV22 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV77 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV22 @ SV68 )
!= ( sdtpldt0 @ SV22 @ SV77 ) )
| ( SV68 = SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(742,plain,
! [SV78: $i,SV22: $i,SV69: $i] :
( ( ( aNaturalNumber0 @ SV69 )
= $false )
| ( ( aNaturalNumber0 @ SV22 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV78 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV69 @ SV22 )
!= ( sdtpldt0 @ SV78 @ SV22 ) )
| ( SV69 = SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(743,plain,
! [SV70: $i,SV52: $i] :
( ( ( ( sdtpldt0 @ SV52 @ SV70 )
= sz00 )
= $false )
| ( ( SV52 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV52 )
= $false )
| ( ( aNaturalNumber0 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(744,plain,
! [SV71: $i,SV53: $i] :
( ( ( ( sdtpldt0 @ SV53 @ SV71 )
= sz00 )
= $false )
| ( ( SV71 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV53 )
= $false )
| ( ( aNaturalNumber0 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(745,plain,
! [SV58: $i,SV72: $i] :
( ( ( SV72 = SV58 )
= $false )
| ( ( sdtlseqdt0 @ SV58 @ SV72 )
= $true )
| ( ( aNaturalNumber0 @ SV58 )
= $false )
| ( ( aNaturalNumber0 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(746,plain,
! [SV23: $i] :
( ( ( aNaturalNumber0 @ ( sK1_W1 @ SV23 ) )
= $true )
| ( ( SV23 = sz10 )
= $true )
| ( ( SV23 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[710]) ).
thf(747,plain,
! [SV23: $i] :
( ( ( doDivides0 @ ( sK1_W1 @ SV23 ) @ SV23 )
= $true )
| ( ( SV23 = sz10 )
= $true )
| ( ( SV23 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[711]) ).
thf(748,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)],[712]) ).
thf(749,plain,
( ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(750,plain,
! [SV42: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ! [SY192: $i] :
( ~ ( aNaturalNumber0 @ SY192 )
| ( ( sdtpldt0 @ SV24 @ SY192 )
!= ( sdtpldt0 @ SV42 @ SY192 ) ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) )
| ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) ) ) )
= $false )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[713]) ).
thf(751,plain,
! [SV42: $i,SV24: $i] :
( ( ( ~ ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV24 @ SY195 ) @ ( sdtpldt0 @ SV42 @ SY195 ) ) ) )
= $false )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[713]) ).
thf(752,plain,
! [SV25: $i] :
( ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV25 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY146 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( ( SY145
!= ( sdtasdt0 @ SY146 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) ) )
| ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV25 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY149 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ( doDivides0 @ SY149 @ SY148 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(753,plain,
! [SV25: $i] :
( ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV25 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV25 )
| ~ ( ( SY151
!= ( sdtasdt0 @ SY152 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) ) )
| ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ! [SY156: $i] :
( ( ( sdtasdt0 @ SV25 @ SY154 )
!= ( sdtasdt0 @ SY155 @ SY156 ) )
| ~ ( aNaturalNumber0 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY155 @ SV25 )
| ( doDivides0 @ SY155 @ SY154 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(754,plain,
! [SV25: $i] :
( ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY158
!= ( sdtasdt0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ SY158 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= SY158 ) ) ) )
| ( SY158 = sz00 )
| ( SY158 = sz10 )
| ~ ( doDivides0 @ SY158 @ ( sdtasdt0 @ SV25 @ SY157 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY157 ) @ SY158 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY158 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( ( SY157
!= ( sdtasdt0 @ SY158 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) ) )
| ~ ! [SY159: $i,SY160: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY160
!= ( sdtasdt0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ SY160 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= SY160 ) ) ) )
| ( SY160 = sz00 )
| ( SY160 = sz10 )
| ~ ( doDivides0 @ SY160 @ ( sdtasdt0 @ SV25 @ SY159 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY159 ) @ SY160 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY160 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ( doDivides0 @ SY160 @ SY159 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(755,plain,
! [SV25: $i] :
( ( ~ ! [SY161: $i,SY162: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY162
!= ( sdtasdt0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ SY162 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= SY162 ) ) ) )
| ( SY162 = sz00 )
| ( SY162 = sz10 )
| ~ ( doDivides0 @ SY162 @ ( sdtasdt0 @ SV25 @ SY161 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY161 ) @ SY162 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY162 @ SV25 )
| ~ ( ( SY161
!= ( sdtasdt0 @ SY162 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) ) )
| ~ ! [SY163: $i,SY164: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( aNaturalNumber0 @ SY164 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY164
!= ( sdtasdt0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ SY164 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= SY164 ) ) ) )
| ( SY164 = sz00 )
| ( SY164 = sz10 )
| ~ ( doDivides0 @ SY164 @ ( sdtasdt0 @ SV25 @ SY163 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY163 ) @ SY164 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY164 @ SV25 )
| ( doDivides0 @ SY164 @ SY163 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(756,plain,
! [SV25: $i] :
( ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV25 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY166 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( ( SY165
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV25 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ( doDivides0 @ SY169 @ SY168 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(757,plain,
! [SV25: $i] :
( ( ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV25 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV25 )
| ~ ( ( SY171
!= ( sdtasdt0 @ SY172 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ! [SY176: $i] :
( ( ( sdtasdt0 @ SV25 @ SY174 )
!= ( sdtasdt0 @ SY175 @ SY176 ) )
| ~ ( aNaturalNumber0 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY175 @ SV25 )
| ( doDivides0 @ SY175 @ SY174 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(758,plain,
! [SV25: $i] :
( ( ~ ! [SY177: $i,SY178: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( isPrime0 @ SY178 )
| ~ ( doDivides0 @ SY178 @ ( sdtasdt0 @ SV25 @ SY177 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY177 ) @ SY178 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY178 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( ( SY177
!= ( sdtasdt0 @ SY178 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) ) )
| ~ ! [SY179: $i,SY180: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( isPrime0 @ SY180 )
| ~ ( doDivides0 @ SY180 @ ( sdtasdt0 @ SV25 @ SY179 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY179 ) @ SY180 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY180 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ( doDivides0 @ SY180 @ SY179 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(759,plain,
! [SV25: $i] :
( ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( aNaturalNumber0 @ SY182 )
| ~ ( isPrime0 @ SY182 )
| ~ ( doDivides0 @ SY182 @ ( sdtasdt0 @ SV25 @ SY181 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY181 ) @ SY182 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY182 @ SV25 )
| ~ ( ( SY181
!= ( sdtasdt0 @ SY182 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) ) )
| ~ ! [SY183: $i,SY184: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY183 )
| ~ ( aNaturalNumber0 @ SY184 )
| ~ ( isPrime0 @ SY184 )
| ~ ( doDivides0 @ SY184 @ ( sdtasdt0 @ SV25 @ SY183 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY183 ) @ SY184 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY184 @ SV25 )
| ( doDivides0 @ SY184 @ SY183 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(760,plain,
( ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(761,plain,
( ( ~ ( sdtlseqdt0 @ xn @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(762,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)],[724]) ).
thf(763,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)],[725]) ).
thf(764,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)],[726]) ).
thf(765,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)],[727]) ).
thf(766,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)],[728]) ).
thf(767,plain,
! [SV86: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV86 ) )
= $true )
| ( ( ! [SY208: $i] :
( ( xr
!= ( sdtasdt0 @ SV86 @ SY208 ) )
| ~ ( aNaturalNumber0 @ SY208 ) ) )
= $true )
| ( ( ( SV86 = sz10 )
| ( SV86 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[729]) ).
thf(768,plain,
! [SV87: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV87 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV87 @ xr ) )
= $true )
| ( ( ( SV87 = sz10 )
| ( SV87 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(769,plain,
( ( ( xr != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[731]) ).
thf(770,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(771,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)],[733]) ).
thf(772,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)],[734]) ).
thf(773,plain,
! [SV82: $i,SV79: $i,SV20: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV20 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV79 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV82 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV79 = SV82 )
| ~ ( sdtlseqdt0 @ SV79 @ SV82 )
| ( ( sdtasdt0 @ SV79 @ SV20 )
!= ( sdtasdt0 @ SV82 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[735]) ).
thf(774,plain,
! [SV90: $i,SV88: $i,SV20: $i] :
( ( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV88 )
| ~ ( aNaturalNumber0 @ SV90 )
| ( SV20 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 )
| ( ( sdtasdt0 @ SV20 @ SV88 )
!= ( sdtasdt0 @ SV20 @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(775,plain,
! [SV91: $i,SV89: $i,SV20: $i] :
( ( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV89 )
| ~ ( aNaturalNumber0 @ SV91 )
| ( SV20 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SV89 ) @ ( sdtasdt0 @ SV20 @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(776,plain,
! [SV67: $i,SV20: $i,SV76: $i] :
( ( ( aNaturalNumber0 @ SV76 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV67 )
= $false )
| ( ( ( SV20 = sz00 )
| ( SV67 = SV76 )
| ~ ( sdtlseqdt0 @ SV67 @ SV76 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV67 @ SV20 ) @ ( sdtasdt0 @ SV76 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(777,plain,
! [SV21: $i,SV83: $i,SV80: $i] :
( ( ( aNaturalNumber0 @ SV80 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV83 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV21 @ SV80 )
!= ( sdtasdt0 @ SV21 @ SV83 ) )
| ( SV80 = SV83 ) )
= $true )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(778,plain,
! [SV21: $i,SV84: $i,SV81: $i] :
( ( ( aNaturalNumber0 @ SV81 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV84 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV81 @ SV21 )
!= ( sdtasdt0 @ SV84 @ SV21 ) )
| ( SV81 = SV84 ) )
= $true )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(779,plain,
! [SV68: $i,SV22: $i,SV77: $i] :
( ( ( aNaturalNumber0 @ SV77 )
= $false )
| ( ( aNaturalNumber0 @ SV22 )
= $false )
| ( ( aNaturalNumber0 @ SV68 )
= $false )
| ( ( ( ( sdtpldt0 @ SV22 @ SV68 )
!= ( sdtpldt0 @ SV22 @ SV77 ) )
| ( SV68 = SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(780,plain,
! [SV69: $i,SV22: $i,SV78: $i] :
( ( ( aNaturalNumber0 @ SV78 )
= $false )
| ( ( aNaturalNumber0 @ SV22 )
= $false )
| ( ( aNaturalNumber0 @ SV69 )
= $false )
| ( ( ( ( sdtpldt0 @ SV69 @ SV22 )
!= ( sdtpldt0 @ SV78 @ SV22 ) )
| ( SV69 = SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(781,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)],[748]) ).
thf(782,plain,
( ( ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(783,plain,
! [SV42: $i,SV24: $i] :
( ( ( ~ ( ~ ! [SY192: $i] :
( ~ ( aNaturalNumber0 @ SY192 )
| ( ( sdtpldt0 @ SV24 @ SY192 )
!= ( sdtpldt0 @ SV42 @ SY192 ) ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) )
| ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) ) ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[750]) ).
thf(784,plain,
! [SV42: $i,SV24: $i] :
( ( ( ! [SY195: $i] :
( ~ ( aNaturalNumber0 @ SY195 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV24 @ SY195 ) @ ( sdtpldt0 @ SV42 @ SY195 ) ) ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(785,plain,
! [SV25: $i] :
( ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV25 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY146 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( ( SY145
!= ( sdtasdt0 @ SY146 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[752]) ).
thf(786,plain,
! [SV25: $i] :
( ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV25 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY149 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ( doDivides0 @ SY149 @ SY148 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[752]) ).
thf(787,plain,
! [SV25: $i] :
( ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV25 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV25 )
| ~ ( ( SY151
!= ( sdtasdt0 @ SY152 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(788,plain,
! [SV25: $i] :
( ( ~ ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ! [SY156: $i] :
( ( ( sdtasdt0 @ SV25 @ SY154 )
!= ( sdtasdt0 @ SY155 @ SY156 ) )
| ~ ( aNaturalNumber0 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY155 @ SV25 )
| ( doDivides0 @ SY155 @ SY154 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(789,plain,
! [SV25: $i] :
( ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY158
!= ( sdtasdt0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ SY158 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= SY158 ) ) ) )
| ( SY158 = sz00 )
| ( SY158 = sz10 )
| ~ ( doDivides0 @ SY158 @ ( sdtasdt0 @ SV25 @ SY157 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY157 ) @ SY158 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY158 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( ( SY157
!= ( sdtasdt0 @ SY158 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(790,plain,
! [SV25: $i] :
( ( ~ ! [SY159: $i,SY160: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY160
!= ( sdtasdt0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ SY160 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= SY160 ) ) ) )
| ( SY160 = sz00 )
| ( SY160 = sz10 )
| ~ ( doDivides0 @ SY160 @ ( sdtasdt0 @ SV25 @ SY159 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY159 ) @ SY160 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY160 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ( doDivides0 @ SY160 @ SY159 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(791,plain,
! [SV25: $i] :
( ( ~ ! [SY161: $i,SY162: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY162
!= ( sdtasdt0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ SY162 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= SY162 ) ) ) )
| ( SY162 = sz00 )
| ( SY162 = sz10 )
| ~ ( doDivides0 @ SY162 @ ( sdtasdt0 @ SV25 @ SY161 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY161 ) @ SY162 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY162 @ SV25 )
| ~ ( ( SY161
!= ( sdtasdt0 @ SY162 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(792,plain,
! [SV25: $i] :
( ( ~ ! [SY163: $i,SY164: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( aNaturalNumber0 @ SY164 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY164
!= ( sdtasdt0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ SY164 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= SY164 ) ) ) )
| ( SY164 = sz00 )
| ( SY164 = sz10 )
| ~ ( doDivides0 @ SY164 @ ( sdtasdt0 @ SV25 @ SY163 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY163 ) @ SY164 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY164 @ SV25 )
| ( doDivides0 @ SY164 @ SY163 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[755]) ).
thf(793,plain,
! [SV25: $i] :
( ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV25 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY166 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( ( SY165
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(794,plain,
! [SV25: $i] :
( ( ~ ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV25 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ( doDivides0 @ SY169 @ SY168 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(795,plain,
! [SV25: $i] :
( ( ~ ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV25 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV25 )
| ~ ( ( SY171
!= ( sdtasdt0 @ SY172 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(796,plain,
! [SV25: $i] :
( ( ~ ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ! [SY176: $i] :
( ( ( sdtasdt0 @ SV25 @ SY174 )
!= ( sdtasdt0 @ SY175 @ SY176 ) )
| ~ ( aNaturalNumber0 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY175 @ SV25 )
| ( doDivides0 @ SY175 @ SY174 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(797,plain,
! [SV25: $i] :
( ( ~ ! [SY177: $i,SY178: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( isPrime0 @ SY178 )
| ~ ( doDivides0 @ SY178 @ ( sdtasdt0 @ SV25 @ SY177 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY177 ) @ SY178 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY178 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( ( SY177
!= ( sdtasdt0 @ SY178 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(798,plain,
! [SV25: $i] :
( ( ~ ! [SY179: $i,SY180: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( isPrime0 @ SY180 )
| ~ ( doDivides0 @ SY180 @ ( sdtasdt0 @ SV25 @ SY179 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY179 ) @ SY180 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY180 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ( doDivides0 @ SY180 @ SY179 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(799,plain,
! [SV25: $i] :
( ( ~ ! [SY181: $i,SY182: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( aNaturalNumber0 @ SY182 )
| ~ ( isPrime0 @ SY182 )
| ~ ( doDivides0 @ SY182 @ ( sdtasdt0 @ SV25 @ SY181 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY181 ) @ SY182 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY182 @ SV25 )
| ~ ( ( SY181
!= ( sdtasdt0 @ SY182 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[759]) ).
thf(800,plain,
! [SV25: $i] :
( ( ~ ! [SY183: $i,SY184: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY183 )
| ~ ( aNaturalNumber0 @ SY184 )
| ~ ( isPrime0 @ SY184 )
| ~ ( doDivides0 @ SY184 @ ( sdtasdt0 @ SV25 @ SY183 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY183 ) @ SY184 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY184 @ SV25 )
| ( doDivides0 @ SY184 @ SY183 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[759]) ).
thf(801,plain,
( ( ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[760]) ).
thf(802,plain,
( ( sdtlseqdt0 @ xn @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[761]) ).
thf(803,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)],[762]) ).
thf(804,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)],[763]) ).
thf(805,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)],[764]) ).
thf(806,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)],[765]) ).
thf(807,plain,
! [SV86: $i] :
( ( ( aNaturalNumber0 @ SV86 )
= $false )
| ( ( ! [SY208: $i] :
( ( xr
!= ( sdtasdt0 @ SV86 @ SY208 ) )
| ~ ( aNaturalNumber0 @ SY208 ) ) )
= $true )
| ( ( ( SV86 = sz10 )
| ( SV86 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(808,plain,
! [SV87: $i] :
( ( ( aNaturalNumber0 @ SV87 )
= $false )
| ( ( ~ ( doDivides0 @ SV87 @ xr ) )
= $true )
| ( ( ( SV87 = sz10 )
| ( SV87 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(809,plain,
( ( xr = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(810,plain,
( ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(811,plain,
! [SV82: $i,SV79: $i,SV20: $i] :
( ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV79 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV82 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV79 = SV82 )
| ~ ( sdtlseqdt0 @ SV79 @ SV82 )
| ( ( sdtasdt0 @ SV79 @ SV20 )
!= ( sdtasdt0 @ SV82 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(812,plain,
! [SV90: $i,SV88: $i,SV20: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV88 )
| ~ ( aNaturalNumber0 @ SV90 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 )
| ( ( sdtasdt0 @ SV20 @ SV88 )
!= ( sdtasdt0 @ SV20 @ SV90 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(813,plain,
! [SV91: $i,SV89: $i,SV20: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV89 )
| ~ ( aNaturalNumber0 @ SV91 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SV89 ) @ ( sdtasdt0 @ SV20 @ SV91 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(814,plain,
! [SV76: $i,SV67: $i,SV20: $i] :
( ( ( ( SV20 = sz00 )
| ( SV67 = SV76 )
| ~ ( sdtlseqdt0 @ SV67 @ SV76 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV67 @ SV20 ) @ ( sdtasdt0 @ SV76 @ SV20 ) )
= $true )
| ( ( aNaturalNumber0 @ SV67 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[776]) ).
thf(815,plain,
! [SV21: $i,SV80: $i,SV83: $i] :
( ( ( aNaturalNumber0 @ SV83 )
= $false )
| ( ( aNaturalNumber0 @ SV80 )
= $false )
| ( ( ( ( sdtasdt0 @ SV21 @ SV80 )
!= ( sdtasdt0 @ SV21 @ SV83 ) )
| ( SV80 = SV83 ) )
= $true )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(816,plain,
! [SV21: $i,SV81: $i,SV84: $i] :
( ( ( aNaturalNumber0 @ SV84 )
= $false )
| ( ( aNaturalNumber0 @ SV81 )
= $false )
| ( ( ( ( sdtasdt0 @ SV81 @ SV21 )
!= ( sdtasdt0 @ SV84 @ SV21 ) )
| ( SV81 = SV84 ) )
= $true )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(817,plain,
! [SV77: $i,SV68: $i,SV22: $i] :
( ( ( ( ( sdtpldt0 @ SV22 @ SV68 )
!= ( sdtpldt0 @ SV22 @ SV77 ) ) )
= $true )
| ( ( SV68 = SV77 )
= $true )
| ( ( aNaturalNumber0 @ SV68 )
= $false )
| ( ( aNaturalNumber0 @ SV22 )
= $false )
| ( ( aNaturalNumber0 @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(818,plain,
! [SV78: $i,SV22: $i,SV69: $i] :
( ( ( ( ( sdtpldt0 @ SV69 @ SV22 )
!= ( sdtpldt0 @ SV78 @ SV22 ) ) )
= $true )
| ( ( SV69 = SV78 )
= $true )
| ( ( aNaturalNumber0 @ SV69 )
= $false )
| ( ( aNaturalNumber0 @ SV22 )
= $false )
| ( ( aNaturalNumber0 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[780]) ).
thf(819,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)],[781]) ).
thf(820,plain,
( ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(821,plain,
! [SV42: $i,SV24: $i] :
( ( ( ~ ! [SY192: $i] :
( ~ ( aNaturalNumber0 @ SY192 )
| ( ( sdtpldt0 @ SV24 @ SY192 )
!= ( sdtpldt0 @ SV42 @ SY192 ) ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) )
| ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) ) )
= $false )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(822,plain,
! [SV42: $i,SV24: $i,SV92: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV92 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV24 @ SV92 ) @ ( sdtpldt0 @ SV42 @ SV92 ) ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[784]) ).
thf(823,plain,
! [SV25: $i] :
( ( ! [SY145: $i,SY146: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY145 )
| ~ ( aNaturalNumber0 @ SY146 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY146
!= ( sdtasdt0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY146 @ SY145 @ SV25 ) @ SY146 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY146 @ SY145 @ SV25 )
!= SY146 ) ) ) )
| ( SY146 = sz00 )
| ( SY146 = sz10 )
| ! [SY147: $i] :
( ( ( sdtasdt0 @ SV25 @ SY145 )
!= ( sdtasdt0 @ SY146 @ SY147 ) )
| ~ ( aNaturalNumber0 @ SY147 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY145 ) @ SY146 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY146 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( ( SY145
!= ( sdtasdt0 @ SY146 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY146 @ SY145 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(824,plain,
! [SV25: $i] :
( ( ! [SY148: $i,SY149: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY148 )
| ~ ( aNaturalNumber0 @ SY149 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY149
!= ( sdtasdt0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY149 @ SY148 @ SV25 ) @ SY149 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY149 @ SY148 @ SV25 )
!= SY149 ) ) ) )
| ( SY149 = sz00 )
| ( SY149 = sz10 )
| ! [SY150: $i] :
( ( ( sdtasdt0 @ SV25 @ SY148 )
!= ( sdtasdt0 @ SY149 @ SY150 ) )
| ~ ( aNaturalNumber0 @ SY150 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY148 ) @ SY149 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY149 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY149 @ SY148 @ SV25 ) ) )
| ( doDivides0 @ SY149 @ SY148 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[786]) ).
thf(825,plain,
! [SV25: $i] :
( ( ! [SY151: $i,SY152: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY151 )
| ~ ( aNaturalNumber0 @ SY152 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY152
!= ( sdtasdt0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY152 @ SY151 @ SV25 ) @ SY152 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY152 @ SY151 @ SV25 )
!= SY152 ) ) ) )
| ( SY152 = sz00 )
| ( SY152 = sz10 )
| ! [SY153: $i] :
( ( ( sdtasdt0 @ SV25 @ SY151 )
!= ( sdtasdt0 @ SY152 @ SY153 ) )
| ~ ( aNaturalNumber0 @ SY153 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY151 ) @ SY152 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY152 @ SV25 )
| ~ ( ( SY151
!= ( sdtasdt0 @ SY152 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY152 @ SY151 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(826,plain,
! [SV25: $i] :
( ( ! [SY154: $i,SY155: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY154 )
| ~ ( aNaturalNumber0 @ SY155 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY155
!= ( sdtasdt0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY155 @ SY154 @ SV25 ) @ SY155 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY155 @ SY154 @ SV25 )
!= SY155 ) ) ) )
| ( SY155 = sz00 )
| ( SY155 = sz10 )
| ! [SY156: $i] :
( ( ( sdtasdt0 @ SV25 @ SY154 )
!= ( sdtasdt0 @ SY155 @ SY156 ) )
| ~ ( aNaturalNumber0 @ SY156 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY154 ) @ SY155 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY155 @ SV25 )
| ( doDivides0 @ SY155 @ SY154 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(827,plain,
! [SV25: $i] :
( ( ! [SY157: $i,SY158: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY157 )
| ~ ( aNaturalNumber0 @ SY158 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY158
!= ( sdtasdt0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY158 @ SY157 @ SV25 ) @ SY158 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY158 @ SY157 @ SV25 )
!= SY158 ) ) ) )
| ( SY158 = sz00 )
| ( SY158 = sz10 )
| ~ ( doDivides0 @ SY158 @ ( sdtasdt0 @ SV25 @ SY157 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY157 ) @ SY158 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY158 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( ( SY157
!= ( sdtasdt0 @ SY158 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY158 @ SY157 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(828,plain,
! [SV25: $i] :
( ( ! [SY159: $i,SY160: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY159 )
| ~ ( aNaturalNumber0 @ SY160 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY160
!= ( sdtasdt0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY160 @ SY159 @ SV25 ) @ SY160 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SY160 @ SY159 @ SV25 )
!= SY160 ) ) ) )
| ( SY160 = sz00 )
| ( SY160 = sz10 )
| ~ ( doDivides0 @ SY160 @ ( sdtasdt0 @ SV25 @ SY159 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY159 ) @ SY160 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY160 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY160 @ SY159 @ SV25 ) ) )
| ( doDivides0 @ SY160 @ SY159 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(829,plain,
! [SV25: $i] :
( ( ! [SY161: $i,SY162: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY161 )
| ~ ( aNaturalNumber0 @ SY162 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY162
!= ( sdtasdt0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY162 @ SY161 @ SV25 ) @ SY162 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SY162 @ SY161 @ SV25 )
!= SY162 ) ) ) )
| ( SY162 = sz00 )
| ( SY162 = sz10 )
| ~ ( doDivides0 @ SY162 @ ( sdtasdt0 @ SV25 @ SY161 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY161 ) @ SY162 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY162 @ SV25 )
| ~ ( ( SY161
!= ( sdtasdt0 @ SY162 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY162 @ SY161 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[791]) ).
thf(830,plain,
! [SV25: $i] :
( ( ! [SY163: $i,SY164: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY163 )
| ~ ( aNaturalNumber0 @ SY164 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY164
!= ( sdtasdt0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY164 @ SY163 @ SV25 ) @ SY164 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SY164 @ SY163 @ SV25 )
!= SY164 ) ) ) )
| ( SY164 = sz00 )
| ( SY164 = sz10 )
| ~ ( doDivides0 @ SY164 @ ( sdtasdt0 @ SV25 @ SY163 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY163 ) @ SY164 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY164 @ SV25 )
| ( doDivides0 @ SY164 @ SY163 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(831,plain,
! [SV25: $i] :
( ( ! [SY165: $i,SY166: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY165 )
| ~ ( aNaturalNumber0 @ SY166 )
| ~ ( isPrime0 @ SY166 )
| ! [SY167: $i] :
( ( ( sdtasdt0 @ SV25 @ SY165 )
!= ( sdtasdt0 @ SY166 @ SY167 ) )
| ~ ( aNaturalNumber0 @ SY167 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY165 ) @ SY166 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY166 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( ( SY165
!= ( sdtasdt0 @ SY166 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY166 @ SY165 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[793]) ).
thf(832,plain,
! [SV25: $i] :
( ( ! [SY168: $i,SY169: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY168 )
| ~ ( aNaturalNumber0 @ SY169 )
| ~ ( isPrime0 @ SY169 )
| ! [SY170: $i] :
( ( ( sdtasdt0 @ SV25 @ SY168 )
!= ( sdtasdt0 @ SY169 @ SY170 ) )
| ~ ( aNaturalNumber0 @ SY170 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY168 ) @ SY169 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY169 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY169 @ SY168 @ SV25 ) ) )
| ( doDivides0 @ SY169 @ SY168 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[794]) ).
thf(833,plain,
! [SV25: $i] :
( ( ! [SY171: $i,SY172: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY171 )
| ~ ( aNaturalNumber0 @ SY172 )
| ~ ( isPrime0 @ SY172 )
| ! [SY173: $i] :
( ( ( sdtasdt0 @ SV25 @ SY171 )
!= ( sdtasdt0 @ SY172 @ SY173 ) )
| ~ ( aNaturalNumber0 @ SY173 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY171 ) @ SY172 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY172 @ SV25 )
| ~ ( ( SY171
!= ( sdtasdt0 @ SY172 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY172 @ SY171 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(834,plain,
! [SV25: $i] :
( ( ! [SY174: $i,SY175: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY174 )
| ~ ( aNaturalNumber0 @ SY175 )
| ~ ( isPrime0 @ SY175 )
| ! [SY176: $i] :
( ( ( sdtasdt0 @ SV25 @ SY174 )
!= ( sdtasdt0 @ SY175 @ SY176 ) )
| ~ ( aNaturalNumber0 @ SY176 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY174 ) @ SY175 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY175 @ SV25 )
| ( doDivides0 @ SY175 @ SY174 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[796]) ).
thf(835,plain,
! [SV25: $i] :
( ( ! [SY177: $i,SY178: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY177 )
| ~ ( aNaturalNumber0 @ SY178 )
| ~ ( isPrime0 @ SY178 )
| ~ ( doDivides0 @ SY178 @ ( sdtasdt0 @ SV25 @ SY177 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY177 ) @ SY178 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY178 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( ( SY177
!= ( sdtasdt0 @ SY178 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY178 @ SY177 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(836,plain,
! [SV25: $i] :
( ( ! [SY179: $i,SY180: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY179 )
| ~ ( aNaturalNumber0 @ SY180 )
| ~ ( isPrime0 @ SY180 )
| ~ ( doDivides0 @ SY180 @ ( sdtasdt0 @ SV25 @ SY179 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY179 ) @ SY180 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY180 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY180 @ SY179 @ SV25 ) ) )
| ( doDivides0 @ SY180 @ SY179 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[798]) ).
thf(837,plain,
! [SV25: $i] :
( ( ! [SY181: $i,SY182: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY181 )
| ~ ( aNaturalNumber0 @ SY182 )
| ~ ( isPrime0 @ SY182 )
| ~ ( doDivides0 @ SY182 @ ( sdtasdt0 @ SV25 @ SY181 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY181 ) @ SY182 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY182 @ SV25 )
| ~ ( ( SY181
!= ( sdtasdt0 @ SY182 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY182 @ SY181 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(838,plain,
! [SV25: $i] :
( ( ! [SY183: $i,SY184: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SY183 )
| ~ ( aNaturalNumber0 @ SY184 )
| ~ ( isPrime0 @ SY184 )
| ~ ( doDivides0 @ SY184 @ ( sdtasdt0 @ SV25 @ SY183 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SY183 ) @ SY184 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY184 @ SV25 )
| ( doDivides0 @ SY184 @ SY183 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[800]) ).
thf(839,plain,
( ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(840,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)],[807]) ).
thf(841,plain,
! [SV87: $i] :
( ( ( doDivides0 @ SV87 @ xr )
= $false )
| ( ( aNaturalNumber0 @ SV87 )
= $false )
| ( ( ( SV87 = sz10 )
| ( SV87 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(842,plain,
( ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(843,plain,
( ( ~ ( doDivides0 @ xr @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(844,plain,
! [SV82: $i,SV20: $i,SV79: $i] :
( ( ( aNaturalNumber0 @ SV79 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV82 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV79 = SV82 )
| ~ ( sdtlseqdt0 @ SV79 @ SV82 )
| ( ( sdtasdt0 @ SV79 @ SV20 )
!= ( sdtasdt0 @ SV82 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(845,plain,
! [SV90: $i,SV88: $i,SV20: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV88 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV90 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 )
| ( ( sdtasdt0 @ SV20 @ SV88 )
!= ( sdtasdt0 @ SV20 @ SV90 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[812]) ).
thf(846,plain,
! [SV91: $i,SV89: $i,SV20: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV20 )
| ~ ( aNaturalNumber0 @ SV89 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV91 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SV89 ) @ ( sdtasdt0 @ SV20 @ SV91 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[813]) ).
thf(847,plain,
! [SV76: $i,SV67: $i,SV20: $i] :
( ( ( ( SV20 = sz00 )
| ( SV67 = SV76 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV67 @ SV76 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV67 @ SV20 ) @ ( sdtasdt0 @ SV76 @ SV20 ) )
= $true )
| ( ( aNaturalNumber0 @ SV67 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[814]) ).
thf(848,plain,
! [SV83: $i,SV80: $i,SV21: $i] :
( ( ( ( ( sdtasdt0 @ SV21 @ SV80 )
!= ( sdtasdt0 @ SV21 @ SV83 ) ) )
= $true )
| ( ( SV80 = SV83 )
= $true )
| ( ( aNaturalNumber0 @ SV80 )
= $false )
| ( ( aNaturalNumber0 @ SV83 )
= $false )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[815]) ).
thf(849,plain,
! [SV84: $i,SV21: $i,SV81: $i] :
( ( ( ( ( sdtasdt0 @ SV81 @ SV21 )
!= ( sdtasdt0 @ SV84 @ SV21 ) ) )
= $true )
| ( ( SV81 = SV84 )
= $true )
| ( ( aNaturalNumber0 @ SV81 )
= $false )
| ( ( aNaturalNumber0 @ SV84 )
= $false )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[816]) ).
thf(850,plain,
! [SV77: $i,SV68: $i,SV22: $i] :
( ( ( ( sdtpldt0 @ SV22 @ SV68 )
= ( sdtpldt0 @ SV22 @ SV77 ) )
= $false )
| ( ( SV68 = SV77 )
= $true )
| ( ( aNaturalNumber0 @ SV68 )
= $false )
| ( ( aNaturalNumber0 @ SV22 )
= $false )
| ( ( aNaturalNumber0 @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(851,plain,
! [SV78: $i,SV22: $i,SV69: $i] :
( ( ( ( sdtpldt0 @ SV69 @ SV22 )
= ( sdtpldt0 @ SV78 @ SV22 ) )
= $false )
| ( ( SV69 = SV78 )
= $true )
| ( ( aNaturalNumber0 @ SV69 )
= $false )
| ( ( aNaturalNumber0 @ SV22 )
= $false )
| ( ( aNaturalNumber0 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(852,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[819]) ).
thf(853,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[819]) ).
thf(854,plain,
( ( ~ ( ( xp != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(855,plain,
( ( ~ ( ( xp != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(856,plain,
! [SV42: $i,SV24: $i] :
( ( ( ~ ! [SY192: $i] :
( ~ ( aNaturalNumber0 @ SY192 )
| ( ( sdtpldt0 @ SV24 @ SY192 )
!= ( sdtpldt0 @ SV42 @ SY192 ) ) ) )
= $false )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[821]) ).
thf(857,plain,
! [SV42: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) )
| ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) ) )
= $false )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[821]) ).
thf(858,plain,
! [SV42: $i,SV24: $i,SV92: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV92 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV24 @ SV92 ) @ ( sdtpldt0 @ SV42 @ SV92 ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[822]) ).
thf(859,plain,
! [SV94: $i,SV25: $i] :
( ( ! [SY211: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV94 )
| ~ ( aNaturalNumber0 @ SY211 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY211
!= ( sdtasdt0 @ ( sK38_W3 @ SY211 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SY211 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY211 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY211 @ SV94 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY211 @ SV94 @ SV25 ) @ SY211 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY211 @ SV94 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY211 @ SV94 @ SV25 )
!= SY211 ) ) ) )
| ( SY211 = sz00 )
| ( SY211 = sz10 )
| ! [SY212: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SY211 @ SY212 ) )
| ~ ( aNaturalNumber0 @ SY212 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SY211 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY211 @ ( sK37_W3 @ SY211 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY211 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SY211 @ ( sK36_W3 @ SY211 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY211 @ SV94 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(860,plain,
! [SV95: $i,SV25: $i] :
( ( ! [SY213: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV95 )
| ~ ( aNaturalNumber0 @ SY213 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY213
!= ( sdtasdt0 @ ( sK34_W3 @ SY213 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SY213 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY213 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY213 @ SV95 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY213 @ SV95 @ SV25 ) @ SY213 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY213 @ SV95 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY213 @ SV95 @ SV25 )
!= SY213 ) ) ) )
| ( SY213 = sz00 )
| ( SY213 = sz10 )
| ! [SY214: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SY213 @ SY214 ) )
| ~ ( aNaturalNumber0 @ SY214 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SY213 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY213 @ ( sK33_W3 @ SY213 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY213 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SY213 @ SV95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(861,plain,
! [SV96: $i,SV25: $i] :
( ( ! [SY215: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV96 )
| ~ ( aNaturalNumber0 @ SY215 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY215
!= ( sdtasdt0 @ ( sK31_W3 @ SY215 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SY215 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY215 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY215 @ SV96 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY215 @ SV96 @ SV25 ) @ SY215 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY215 @ SV96 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY215 @ SV96 @ SV25 )
!= SY215 ) ) ) )
| ( SY215 = sz00 )
| ( SY215 = sz10 )
| ! [SY216: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SY215 @ SY216 ) )
| ~ ( aNaturalNumber0 @ SY216 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SY215 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY215 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SY215 @ ( sK30_W3 @ SY215 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY215 @ SV96 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(862,plain,
! [SV97: $i,SV25: $i] :
( ( ! [SY217: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV97 )
| ~ ( aNaturalNumber0 @ SY217 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY217
!= ( sdtasdt0 @ ( sK28_W3 @ SY217 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SY217 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY217 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY217 @ SV97 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY217 @ SV97 @ SV25 ) @ SY217 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY217 @ SV97 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY217 @ SV97 @ SV25 )
!= SY217 ) ) ) )
| ( SY217 = sz00 )
| ( SY217 = sz10 )
| ! [SY218: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SY217 @ SY218 ) )
| ~ ( aNaturalNumber0 @ SY218 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SY217 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY217 @ SV25 )
| ( doDivides0 @ SY217 @ SV97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(863,plain,
! [SV98: $i,SV25: $i] :
( ( ! [SY219: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV98 )
| ~ ( aNaturalNumber0 @ SY219 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY219
!= ( sdtasdt0 @ ( sK26_W3 @ SY219 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SY219 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY219 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY219 @ SV98 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY219 @ SV98 @ SV25 ) @ SY219 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY219 @ SV98 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY219 @ SV98 @ SV25 )
!= SY219 ) ) ) )
| ( SY219 = sz00 )
| ( SY219 = sz10 )
| ~ ( doDivides0 @ SY219 @ ( sdtasdt0 @ SV25 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SY219 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY219 @ ( sK25_W3 @ SY219 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY219 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SY219 @ ( sK24_W3 @ SY219 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY219 @ SV98 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(864,plain,
! [SV99: $i,SV25: $i] :
( ( ! [SY220: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV99 )
| ~ ( aNaturalNumber0 @ SY220 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY220
!= ( sdtasdt0 @ ( sK22_W3 @ SY220 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SY220 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY220 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY220 @ SV99 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY220 @ SV99 @ SV25 ) @ SY220 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY220 @ SV99 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SY220 @ SV99 @ SV25 )
!= SY220 ) ) ) )
| ( SY220 = sz00 )
| ( SY220 = sz10 )
| ~ ( doDivides0 @ SY220 @ ( sdtasdt0 @ SV25 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SY220 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY220 @ ( sK21_W3 @ SY220 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY220 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SY220 @ SV99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(865,plain,
! [SV100: $i,SV25: $i] :
( ( ! [SY221: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV100 )
| ~ ( aNaturalNumber0 @ SY221 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY221
!= ( sdtasdt0 @ ( sK19_W3 @ SY221 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SY221 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY221 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY221 @ SV100 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY221 @ SV100 @ SV25 ) @ SY221 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY221 @ SV100 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SY221 @ SV100 @ SV25 )
!= SY221 ) ) ) )
| ( SY221 = sz00 )
| ( SY221 = sz10 )
| ~ ( doDivides0 @ SY221 @ ( sdtasdt0 @ SV25 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SY221 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY221 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SY221 @ ( sK18_W3 @ SY221 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY221 @ SV100 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(866,plain,
! [SV101: $i,SV25: $i] :
( ( ! [SY222: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV101 )
| ~ ( aNaturalNumber0 @ SY222 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY222
!= ( sdtasdt0 @ ( sK16_W3 @ SY222 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SY222 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY222 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY222 @ SV101 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY222 @ SV101 @ SV25 ) @ SY222 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY222 @ SV101 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SY222 @ SV101 @ SV25 )
!= SY222 ) ) ) )
| ( SY222 = sz00 )
| ( SY222 = sz10 )
| ~ ( doDivides0 @ SY222 @ ( sdtasdt0 @ SV25 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SY222 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY222 @ SV25 )
| ( doDivides0 @ SY222 @ SV101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(867,plain,
! [SV102: $i,SV25: $i] :
( ( ! [SY223: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV102 )
| ~ ( aNaturalNumber0 @ SY223 )
| ~ ( isPrime0 @ SY223 )
| ! [SY224: $i] :
( ( ( sdtasdt0 @ SV25 @ SV102 )
!= ( sdtasdt0 @ SY223 @ SY224 ) )
| ~ ( aNaturalNumber0 @ SY224 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SY223 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY223 @ ( sK15_W3 @ SY223 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY223 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SY223 @ ( sK14_W3 @ SY223 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY223 @ SV102 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(868,plain,
! [SV103: $i,SV25: $i] :
( ( ! [SY225: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV103 )
| ~ ( aNaturalNumber0 @ SY225 )
| ~ ( isPrime0 @ SY225 )
| ! [SY226: $i] :
( ( ( sdtasdt0 @ SV25 @ SV103 )
!= ( sdtasdt0 @ SY225 @ SY226 ) )
| ~ ( aNaturalNumber0 @ SY226 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SY225 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY225 @ ( sK13_W3 @ SY225 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY225 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SY225 @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(869,plain,
! [SV104: $i,SV25: $i] :
( ( ! [SY227: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV104 )
| ~ ( aNaturalNumber0 @ SY227 )
| ~ ( isPrime0 @ SY227 )
| ! [SY228: $i] :
( ( ( sdtasdt0 @ SV25 @ SV104 )
!= ( sdtasdt0 @ SY227 @ SY228 ) )
| ~ ( aNaturalNumber0 @ SY228 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SY227 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY227 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SY227 @ ( sK12_W3 @ SY227 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY227 @ SV104 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(870,plain,
! [SV105: $i,SV25: $i] :
( ( ! [SY229: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV105 )
| ~ ( aNaturalNumber0 @ SY229 )
| ~ ( isPrime0 @ SY229 )
| ! [SY230: $i] :
( ( ( sdtasdt0 @ SV25 @ SV105 )
!= ( sdtasdt0 @ SY229 @ SY230 ) )
| ~ ( aNaturalNumber0 @ SY230 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SY229 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY229 @ SV25 )
| ( doDivides0 @ SY229 @ SV105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(871,plain,
! [SV106: $i,SV25: $i] :
( ( ! [SY231: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV106 )
| ~ ( aNaturalNumber0 @ SY231 )
| ~ ( isPrime0 @ SY231 )
| ~ ( doDivides0 @ SY231 @ ( sdtasdt0 @ SV25 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SY231 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY231 @ ( sK11_W3 @ SY231 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY231 @ SV106 @ SV25 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SY231 @ ( sK10_W3 @ SY231 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY231 @ SV106 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(872,plain,
! [SV107: $i,SV25: $i] :
( ( ! [SY232: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV107 )
| ~ ( aNaturalNumber0 @ SY232 )
| ~ ( isPrime0 @ SY232 )
| ~ ( doDivides0 @ SY232 @ ( sdtasdt0 @ SV25 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SY232 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SY232 @ ( sK9_W3 @ SY232 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY232 @ SV107 @ SV25 ) ) )
| ( doDivides0 @ SY232 @ SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(873,plain,
! [SV108: $i,SV25: $i] :
( ( ! [SY233: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV108 )
| ~ ( aNaturalNumber0 @ SY233 )
| ~ ( isPrime0 @ SY233 )
| ~ ( doDivides0 @ SY233 @ ( sdtasdt0 @ SV25 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SY233 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY233 @ SV25 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SY233 @ ( sK8_W3 @ SY233 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY233 @ SV108 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(874,plain,
! [SV109: $i,SV25: $i] :
( ( ! [SY234: $i] :
( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV109 )
| ~ ( aNaturalNumber0 @ SY234 )
| ~ ( isPrime0 @ SY234 )
| ~ ( doDivides0 @ SY234 @ ( sdtasdt0 @ SV25 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV109 ) @ SY234 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY234 @ SV25 )
| ( doDivides0 @ SY234 @ SV109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(875,plain,
( ( ~ ( ( xn != xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(876,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(877,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)],[840]) ).
thf(878,plain,
! [SV87: $i] :
( ( ( SV87 = sz10 )
= $true )
| ( ( SV87 = xr )
= $true )
| ( ( aNaturalNumber0 @ SV87 )
= $false )
| ( ( doDivides0 @ SV87 @ xr )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(879,plain,
( ( ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[842]) ).
thf(880,plain,
( ( doDivides0 @ xr @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[843]) ).
thf(881,plain,
! [SV79: $i,SV20: $i,SV82: $i] :
( ( ( aNaturalNumber0 @ SV82 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV79 )
= $false )
| ( ( ( SV20 = sz00 )
| ( SV79 = SV82 )
| ~ ( sdtlseqdt0 @ SV79 @ SV82 )
| ( ( sdtasdt0 @ SV79 @ SV20 )
!= ( sdtasdt0 @ SV82 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(882,plain,
! [SV90: $i,SV88: $i,SV20: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV20 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV88 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV90 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 )
| ( ( sdtasdt0 @ SV20 @ SV88 )
!= ( sdtasdt0 @ SV20 @ SV90 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(883,plain,
! [SV91: $i,SV89: $i,SV20: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV20 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV89 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV91 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SV89 ) @ ( sdtasdt0 @ SV20 @ SV91 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(884,plain,
! [SV76: $i,SV67: $i,SV20: $i] :
( ( ( SV20 = sz00 )
= $true )
| ( ( SV67 = SV76 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV67 @ SV76 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV67 @ SV20 ) @ ( sdtasdt0 @ SV76 @ SV20 ) )
= $true )
| ( ( aNaturalNumber0 @ SV67 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[847]) ).
thf(885,plain,
! [SV83: $i,SV80: $i,SV21: $i] :
( ( ( ( sdtasdt0 @ SV21 @ SV80 )
= ( sdtasdt0 @ SV21 @ SV83 ) )
= $false )
| ( ( SV80 = SV83 )
= $true )
| ( ( aNaturalNumber0 @ SV80 )
= $false )
| ( ( aNaturalNumber0 @ SV83 )
= $false )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(886,plain,
! [SV84: $i,SV21: $i,SV81: $i] :
( ( ( ( sdtasdt0 @ SV81 @ SV21 )
= ( sdtasdt0 @ SV84 @ SV21 ) )
= $false )
| ( ( SV81 = SV84 )
= $true )
| ( ( aNaturalNumber0 @ SV81 )
= $false )
| ( ( aNaturalNumber0 @ SV84 )
= $false )
| ( ( SV21 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(887,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[852]) ).
thf(888,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[853]) ).
thf(889,plain,
( ( ( xp != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[854]) ).
thf(890,plain,
( ( ( xp != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[855]) ).
thf(891,plain,
! [SV42: $i,SV24: $i] :
( ( ( ! [SY192: $i] :
( ~ ( aNaturalNumber0 @ SY192 )
| ( ( sdtpldt0 @ SV24 @ SY192 )
!= ( sdtpldt0 @ SV42 @ SY192 ) ) ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[856]) ).
thf(892,plain,
! [SV42: $i,SV24: $i] :
( ( ( ~ ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) )
| ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[857]) ).
thf(893,plain,
! [SV42: $i,SV24: $i,SV92: $i] :
( ( ( aNaturalNumber0 @ SV92 )
= $false )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV24 @ SV92 ) @ ( sdtpldt0 @ SV42 @ SV92 ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(894,plain,
! [SV110: $i,SV94: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV94 )
| ~ ( aNaturalNumber0 @ SV110 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[859]) ).
thf(895,plain,
! [SV111: $i,SV95: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV95 )
| ~ ( aNaturalNumber0 @ SV111 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[860]) ).
thf(896,plain,
! [SV112: $i,SV96: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV96 )
| ~ ( aNaturalNumber0 @ SV112 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[861]) ).
thf(897,plain,
! [SV113: $i,SV97: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV97 )
| ~ ( aNaturalNumber0 @ SV113 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[862]) ).
thf(898,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV98 )
| ~ ( aNaturalNumber0 @ SV114 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[863]) ).
thf(899,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV99 )
| ~ ( aNaturalNumber0 @ SV115 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(900,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV100 )
| ~ ( aNaturalNumber0 @ SV116 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(901,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV101 )
| ~ ( aNaturalNumber0 @ SV117 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(902,plain,
! [SV118: $i,SV102: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV102 )
| ~ ( aNaturalNumber0 @ SV118 )
| ~ ( isPrime0 @ SV118 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV25 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(903,plain,
! [SV119: $i,SV103: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV103 )
| ~ ( aNaturalNumber0 @ SV119 )
| ~ ( isPrime0 @ SV119 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV25 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(904,plain,
! [SV120: $i,SV104: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV104 )
| ~ ( aNaturalNumber0 @ SV120 )
| ~ ( isPrime0 @ SV120 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV25 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(905,plain,
! [SV121: $i,SV105: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV105 )
| ~ ( aNaturalNumber0 @ SV121 )
| ~ ( isPrime0 @ SV121 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV25 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(906,plain,
! [SV122: $i,SV106: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV106 )
| ~ ( aNaturalNumber0 @ SV122 )
| ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(907,plain,
! [SV123: $i,SV107: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV107 )
| ~ ( aNaturalNumber0 @ SV123 )
| ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(908,plain,
! [SV124: $i,SV108: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV108 )
| ~ ( aNaturalNumber0 @ SV124 )
| ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV25 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(909,plain,
! [SV125: $i,SV109: $i,SV25: $i] :
( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV109 )
| ~ ( aNaturalNumber0 @ SV125 )
| ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV25 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV25 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(910,plain,
( ( ( xn != xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[875]) ).
thf(911,plain,
( ( ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[876]) ).
thf(912,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)],[877]) ).
thf(913,plain,
( ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(914,plain,
! [SV82: $i,SV79: $i,SV20: $i] :
( ( ( ( SV20 = sz00 )
| ( SV79 = SV82 )
| ~ ( sdtlseqdt0 @ SV79 @ SV82 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV79 @ SV20 )
!= ( sdtasdt0 @ SV82 @ SV20 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV79 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(915,plain,
! [SV90: $i,SV88: $i,SV20: $i] :
( ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV88 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV90 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 )
| ( ( sdtasdt0 @ SV20 @ SV88 )
!= ( sdtasdt0 @ SV20 @ SV90 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(916,plain,
! [SV91: $i,SV89: $i,SV20: $i] :
( ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV89 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV91 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SV89 ) @ ( sdtasdt0 @ SV20 @ SV91 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(917,plain,
! [SV20: $i,SV76: $i,SV67: $i] :
( ( ( sdtlseqdt0 @ SV67 @ SV76 )
= $false )
| ( ( SV67 = SV76 )
= $true )
| ( ( SV20 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV67 @ SV20 ) @ ( sdtasdt0 @ SV76 @ SV20 ) )
= $true )
| ( ( aNaturalNumber0 @ SV67 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(918,plain,
! [SV126: $i] :
( ( ~ ( aNaturalNumber0 @ SV126 )
| ! [SY243: $i] :
( ( xp
!= ( sdtasdt0 @ SV126 @ SY243 ) )
| ~ ( aNaturalNumber0 @ SY243 ) )
| ( SV126 = sz10 )
| ( SV126 = xp ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[887]) ).
thf(919,plain,
! [SV127: $i] :
( ( ~ ( aNaturalNumber0 @ SV127 )
| ~ ( doDivides0 @ SV127 @ xp )
| ( SV127 = sz10 )
| ( SV127 = xp ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(920,plain,
( ( xp = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(921,plain,
( ( xp = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(922,plain,
! [SV42: $i,SV24: $i,SV128: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV128 )
| ( ( sdtpldt0 @ SV24 @ SV128 )
!= ( sdtpldt0 @ SV42 @ SV128 ) ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(923,plain,
! [SV42: $i,SV24: $i] :
( ( ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) )
| ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) )
= $false )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(924,plain,
! [SV110: $i,SV94: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV94 )
| ~ ( aNaturalNumber0 @ SV110 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[894]) ).
thf(925,plain,
! [SV111: $i,SV95: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV95 )
| ~ ( aNaturalNumber0 @ SV111 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[895]) ).
thf(926,plain,
! [SV112: $i,SV96: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV96 )
| ~ ( aNaturalNumber0 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[896]) ).
thf(927,plain,
! [SV113: $i,SV97: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV97 )
| ~ ( aNaturalNumber0 @ SV113 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[897]) ).
thf(928,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV98 )
| ~ ( aNaturalNumber0 @ SV114 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[898]) ).
thf(929,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV99 )
| ~ ( aNaturalNumber0 @ SV115 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[899]) ).
thf(930,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV100 )
| ~ ( aNaturalNumber0 @ SV116 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(931,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV101 )
| ~ ( aNaturalNumber0 @ SV117 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[901]) ).
thf(932,plain,
! [SV118: $i,SV102: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV102 )
| ~ ( aNaturalNumber0 @ SV118 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV118 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV25 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[902]) ).
thf(933,plain,
! [SV119: $i,SV103: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV103 )
| ~ ( aNaturalNumber0 @ SV119 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV119 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV25 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[903]) ).
thf(934,plain,
! [SV120: $i,SV104: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV104 )
| ~ ( aNaturalNumber0 @ SV120 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV120 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV25 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[904]) ).
thf(935,plain,
! [SV121: $i,SV105: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV105 )
| ~ ( aNaturalNumber0 @ SV121 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV121 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV25 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[905]) ).
thf(936,plain,
! [SV122: $i,SV106: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV106 )
| ~ ( aNaturalNumber0 @ SV122 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(937,plain,
! [SV123: $i,SV107: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV107 )
| ~ ( aNaturalNumber0 @ SV123 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(938,plain,
! [SV124: $i,SV108: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV108 )
| ~ ( aNaturalNumber0 @ SV124 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV25 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[908]) ).
thf(939,plain,
! [SV125: $i,SV109: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV109 )
| ~ ( aNaturalNumber0 @ SV125 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV25 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV25 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[909]) ).
thf(940,plain,
( ( xn = xp )
= $false ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(941,plain,
( ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(942,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)],[912]) ).
thf(943,plain,
( ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(944,plain,
( ( ~ ( aNaturalNumber0 @ xr ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(945,plain,
! [SV82: $i,SV79: $i,SV20: $i] :
( ( ( ( SV20 = sz00 )
| ( SV79 = SV82 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV79 @ SV82 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV79 @ SV20 )
!= ( sdtasdt0 @ SV82 @ SV20 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV79 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[914]) ).
thf(946,plain,
! [SV90: $i,SV20: $i,SV88: $i] :
( ( ( aNaturalNumber0 @ SV88 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV90 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 )
| ( ( sdtasdt0 @ SV20 @ SV88 )
!= ( sdtasdt0 @ SV20 @ SV90 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(947,plain,
! [SV91: $i,SV20: $i,SV89: $i] :
( ( ( aNaturalNumber0 @ SV89 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV91 ) )
= $true )
| ( ( ( SV20 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SV89 ) @ ( sdtasdt0 @ SV20 @ SV91 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(948,plain,
! [SV126: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV126 )
| ! [SY243: $i] :
( ( xp
!= ( sdtasdt0 @ SV126 @ SY243 ) )
| ~ ( aNaturalNumber0 @ SY243 ) ) )
= $true )
| ( ( ( SV126 = sz10 )
| ( SV126 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[918]) ).
thf(949,plain,
! [SV127: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV127 )
| ~ ( doDivides0 @ SV127 @ xp ) )
= $true )
| ( ( ( SV127 = sz10 )
| ( SV127 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[919]) ).
thf(950,plain,
! [SV42: $i,SV24: $i,SV128: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV128 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV24 @ SV128 )
!= ( sdtpldt0 @ SV42 @ SV128 ) ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[922]) ).
thf(951,plain,
! [SV42: $i,SV24: $i] :
( ( ( ~ ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) ) )
= $false )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[923]) ).
thf(952,plain,
! [SV42: $i,SV24: $i] :
( ( ( ~ ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) )
= $false )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[923]) ).
thf(953,plain,
! [SV110: $i,SV94: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV94 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV110 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[924]) ).
thf(954,plain,
! [SV111: $i,SV95: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV95 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV111 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[925]) ).
thf(955,plain,
! [SV112: $i,SV96: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV96 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[926]) ).
thf(956,plain,
! [SV113: $i,SV97: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV97 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV113 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[927]) ).
thf(957,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV98 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV114 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[928]) ).
thf(958,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV99 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV115 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[929]) ).
thf(959,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV100 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV116 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[930]) ).
thf(960,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV101 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV117 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[931]) ).
thf(961,plain,
! [SV118: $i,SV102: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV102 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV118 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV118 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV25 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[932]) ).
thf(962,plain,
! [SV119: $i,SV103: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV103 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV119 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV119 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV25 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[933]) ).
thf(963,plain,
! [SV120: $i,SV104: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV104 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV120 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV120 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV25 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(964,plain,
! [SV121: $i,SV105: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV105 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV121 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV121 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV25 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[935]) ).
thf(965,plain,
! [SV122: $i,SV106: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV106 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV122 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[936]) ).
thf(966,plain,
! [SV123: $i,SV107: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV107 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV123 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[937]) ).
thf(967,plain,
! [SV124: $i,SV108: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV108 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV124 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV25 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[938]) ).
thf(968,plain,
! [SV125: $i,SV109: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 )
| ~ ( aNaturalNumber0 @ SV109 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV125 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV25 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV25 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(969,plain,
( ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(970,plain,
( ( ~ ( aNaturalNumber0 @ sK6_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(971,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)],[942]) ).
thf(972,plain,
( ( ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[943]) ).
thf(973,plain,
( ( aNaturalNumber0 @ xr )
= $true ),
inference(extcnf_not_neg,[status(thm)],[944]) ).
thf(974,plain,
! [SV82: $i,SV79: $i,SV20: $i] :
( ( ( SV20 = sz00 )
= $true )
| ( ( SV79 = SV82 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV79 @ SV82 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV79 @ SV20 )
!= ( sdtasdt0 @ SV82 @ SV20 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV79 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[945]) ).
thf(975,plain,
! [SV88: $i,SV20: $i,SV90: $i] :
( ( ( aNaturalNumber0 @ SV90 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV88 )
= $false )
| ( ( ( SV20 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 )
| ( ( sdtasdt0 @ SV20 @ SV88 )
!= ( sdtasdt0 @ SV20 @ SV90 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(976,plain,
! [SV89: $i,SV20: $i,SV91: $i] :
( ( ( aNaturalNumber0 @ SV91 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV89 )
= $false )
| ( ( ( SV20 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SV89 ) @ ( sdtasdt0 @ SV20 @ SV91 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(977,plain,
! [SV126: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV126 ) )
= $true )
| ( ( ! [SY243: $i] :
( ( xp
!= ( sdtasdt0 @ SV126 @ SY243 ) )
| ~ ( aNaturalNumber0 @ SY243 ) ) )
= $true )
| ( ( ( SV126 = sz10 )
| ( SV126 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[948]) ).
thf(978,plain,
! [SV127: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV127 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV127 @ xp ) )
= $true )
| ( ( ( SV127 = sz10 )
| ( SV127 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(979,plain,
! [SV42: $i,SV24: $i,SV128: $i] :
( ( ( aNaturalNumber0 @ SV128 )
= $false )
| ( ( ( ( sdtpldt0 @ SV24 @ SV128 )
!= ( sdtpldt0 @ SV42 @ SV128 ) ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[950]) ).
thf(980,plain,
! [SV42: $i,SV24: $i] :
( ( ( ! [SY193: $i] :
( ~ ( aNaturalNumber0 @ SY193 )
| ( ( sdtpldt0 @ SY193 @ SV24 )
!= ( sdtpldt0 @ SY193 @ SV42 ) ) ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[951]) ).
thf(981,plain,
! [SV42: $i,SV24: $i] :
( ( ( ! [SY194: $i] :
( ~ ( aNaturalNumber0 @ SY194 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY194 @ SV24 ) @ ( sdtpldt0 @ SY194 @ SV42 ) ) ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(982,plain,
! [SV110: $i,SV94: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV94 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV110 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[953]) ).
thf(983,plain,
! [SV111: $i,SV95: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV95 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV111 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(984,plain,
! [SV112: $i,SV96: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV96 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[955]) ).
thf(985,plain,
! [SV113: $i,SV97: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV97 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV113 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[956]) ).
thf(986,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV98 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV114 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(987,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV99 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV115 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[958]) ).
thf(988,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV100 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV116 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[959]) ).
thf(989,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV101 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV117 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[960]) ).
thf(990,plain,
! [SV118: $i,SV102: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV102 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV118 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV118 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV25 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(991,plain,
! [SV119: $i,SV103: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV103 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV119 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV119 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV25 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[962]) ).
thf(992,plain,
! [SV120: $i,SV104: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV104 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV120 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV120 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV25 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[963]) ).
thf(993,plain,
! [SV121: $i,SV105: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV105 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV121 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV121 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV25 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[964]) ).
thf(994,plain,
! [SV122: $i,SV106: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV106 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV122 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(995,plain,
! [SV123: $i,SV107: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV107 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV123 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[966]) ).
thf(996,plain,
! [SV124: $i,SV108: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV108 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV124 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV25 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(997,plain,
! [SV125: $i,SV109: $i,SV25: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV25 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV109 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV125 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV25 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV25 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[968]) ).
thf(998,plain,
( ( ( sdtpldt0 @ xn @ sK6_W0 )
= xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[969]) ).
thf(999,plain,
( ( aNaturalNumber0 @ sK6_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[970]) ).
thf(1000,plain,
( ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1001,plain,
! [SV20: $i,SV82: $i,SV79: $i] :
( ( ( sdtlseqdt0 @ SV79 @ SV82 )
= $false )
| ( ( SV79 = SV82 )
= $true )
| ( ( SV20 = sz00 )
= $true )
| ( ( ( ( sdtasdt0 @ SV79 @ SV20 )
!= ( sdtasdt0 @ SV82 @ SV20 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV79 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1002,plain,
! [SV90: $i,SV88: $i,SV20: $i] :
( ( ( ( SV20 = sz00 )
| ( SV88 = SV90 )
| ~ ( sdtlseqdt0 @ SV88 @ SV90 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV20 @ SV88 )
!= ( sdtasdt0 @ SV20 @ SV90 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV88 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(1003,plain,
! [SV91: $i,SV89: $i,SV20: $i] :
( ( ( ( SV20 = sz00 )
| ( SV89 = SV91 )
| ~ ( sdtlseqdt0 @ SV89 @ SV91 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SV89 ) @ ( sdtasdt0 @ SV20 @ SV91 ) )
= $true )
| ( ( aNaturalNumber0 @ SV89 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(1004,plain,
! [SV126: $i] :
( ( ( aNaturalNumber0 @ SV126 )
= $false )
| ( ( ! [SY243: $i] :
( ( xp
!= ( sdtasdt0 @ SV126 @ SY243 ) )
| ~ ( aNaturalNumber0 @ SY243 ) ) )
= $true )
| ( ( ( SV126 = sz10 )
| ( SV126 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(1005,plain,
! [SV127: $i] :
( ( ( aNaturalNumber0 @ SV127 )
= $false )
| ( ( ~ ( doDivides0 @ SV127 @ xp ) )
= $true )
| ( ( ( SV127 = sz10 )
| ( SV127 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1006,plain,
! [SV42: $i,SV128: $i,SV24: $i] :
( ( ( ( sdtpldt0 @ SV24 @ SV128 )
= ( sdtpldt0 @ SV42 @ SV128 ) )
= $false )
| ( ( aNaturalNumber0 @ SV128 )
= $false )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(1007,plain,
! [SV42: $i,SV24: $i,SV129: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV129 )
| ( ( sdtpldt0 @ SV129 @ SV24 )
!= ( sdtpldt0 @ SV129 @ SV42 ) ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(1008,plain,
! [SV42: $i,SV24: $i,SV130: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV130 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV130 @ SV24 ) @ ( sdtpldt0 @ SV130 @ SV42 ) ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(1009,plain,
! [SV110: $i,SV94: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV94 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV110 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(1010,plain,
! [SV111: $i,SV95: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV95 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV111 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1011,plain,
! [SV112: $i,SV96: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV96 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(1012,plain,
! [SV113: $i,SV97: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV97 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV113 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[985]) ).
thf(1013,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV98 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV114 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1014,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV99 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV115 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1015,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV100 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV116 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1016,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV101 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV117 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1017,plain,
! [SV118: $i,SV102: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV102 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV118 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV118 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV25 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1018,plain,
! [SV119: $i,SV103: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV103 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV119 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV119 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV25 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1019,plain,
! [SV120: $i,SV104: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV104 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV120 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV120 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV25 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1020,plain,
! [SV121: $i,SV105: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV105 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV121 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV121 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV25 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1021,plain,
! [SV122: $i,SV106: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV106 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV122 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1022,plain,
! [SV123: $i,SV107: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV107 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV123 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1023,plain,
! [SV124: $i,SV108: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV108 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV124 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV25 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1024,plain,
! [SV125: $i,SV109: $i,SV25: $i] :
( ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV109 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV125 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV25 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV25 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1025,plain,
( ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1000]) ).
thf(1026,plain,
( ( ~ ( aNaturalNumber0 @ sK4_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1000]) ).
thf(1027,plain,
! [SV82: $i,SV20: $i,SV79: $i] :
( ( ( ( sdtasdt0 @ SV79 @ SV20 )
= ( sdtasdt0 @ SV82 @ SV20 ) )
= $false )
| ( ( SV20 = sz00 )
= $true )
| ( ( SV79 = SV82 )
= $true )
| ( ( sdtlseqdt0 @ SV79 @ SV82 )
= $false )
| ( ( aNaturalNumber0 @ SV79 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1028,plain,
! [SV90: $i,SV88: $i,SV20: $i] :
( ( ( ( SV20 = sz00 )
| ( SV88 = SV90 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV88 @ SV90 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV20 @ SV88 )
!= ( sdtasdt0 @ SV20 @ SV90 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV88 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1002]) ).
thf(1029,plain,
! [SV91: $i,SV89: $i,SV20: $i] :
( ( ( ( SV20 = sz00 )
| ( SV89 = SV91 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV89 @ SV91 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SV89 ) @ ( sdtasdt0 @ SV20 @ SV91 ) )
= $true )
| ( ( aNaturalNumber0 @ SV89 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1003]) ).
thf(1030,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)],[1004]) ).
thf(1031,plain,
! [SV127: $i] :
( ( ( doDivides0 @ SV127 @ xp )
= $false )
| ( ( aNaturalNumber0 @ SV127 )
= $false )
| ( ( ( SV127 = sz10 )
| ( SV127 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1032,plain,
! [SV42: $i,SV24: $i,SV129: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV129 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV129 @ SV24 )
!= ( sdtpldt0 @ SV129 @ SV42 ) ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1033,plain,
! [SV42: $i,SV24: $i,SV130: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV130 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV130 @ SV24 ) @ ( sdtpldt0 @ SV130 @ SV42 ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1034,plain,
! [SV110: $i,SV25: $i,SV94: $i] :
( ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV110 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1035,plain,
! [SV111: $i,SV25: $i,SV95: $i] :
( ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV111 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1036,plain,
! [SV112: $i,SV25: $i,SV96: $i] :
( ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1037,plain,
! [SV113: $i,SV25: $i,SV97: $i] :
( ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV113 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1038,plain,
! [SV114: $i,SV25: $i,SV98: $i] :
( ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV114 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1039,plain,
! [SV115: $i,SV25: $i,SV99: $i] :
( ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV115 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1040,plain,
! [SV116: $i,SV25: $i,SV100: $i] :
( ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV116 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1041,plain,
! [SV117: $i,SV25: $i,SV101: $i] :
( ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV117 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1016]) ).
thf(1042,plain,
! [SV118: $i,SV25: $i,SV102: $i] :
( ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV118 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV118 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV25 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1043,plain,
! [SV119: $i,SV25: $i,SV103: $i] :
( ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV119 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV119 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV25 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1044,plain,
! [SV120: $i,SV25: $i,SV104: $i] :
( ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV120 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV120 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV25 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1045,plain,
! [SV121: $i,SV25: $i,SV105: $i] :
( ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV121 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV121 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV25 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1046,plain,
! [SV122: $i,SV25: $i,SV106: $i] :
( ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV122 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1047,plain,
! [SV123: $i,SV25: $i,SV107: $i] :
( ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV123 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1048,plain,
! [SV124: $i,SV25: $i,SV108: $i] :
( ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV124 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV25 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1049,plain,
! [SV125: $i,SV25: $i,SV109: $i] :
( ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV125 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV25 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV25 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1024]) ).
thf(1050,plain,
( ( xk
= ( sdtasdt0 @ xr @ sK4_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1025]) ).
thf(1051,plain,
( ( aNaturalNumber0 @ sK4_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1026]) ).
thf(1052,plain,
! [SV90: $i,SV88: $i,SV20: $i] :
( ( ( SV20 = sz00 )
= $true )
| ( ( SV88 = SV90 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV88 @ SV90 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV20 @ SV88 )
!= ( sdtasdt0 @ SV20 @ SV90 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV88 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1028]) ).
thf(1053,plain,
! [SV91: $i,SV89: $i,SV20: $i] :
( ( ( SV20 = sz00 )
= $true )
| ( ( SV89 = SV91 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV89 @ SV91 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SV89 ) @ ( sdtasdt0 @ SV20 @ SV91 ) )
= $true )
| ( ( aNaturalNumber0 @ SV89 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1029]) ).
thf(1054,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)],[1030]) ).
thf(1055,plain,
! [SV127: $i] :
( ( ( SV127 = sz10 )
= $true )
| ( ( SV127 = xp )
= $true )
| ( ( aNaturalNumber0 @ SV127 )
= $false )
| ( ( doDivides0 @ SV127 @ xp )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1031]) ).
thf(1056,plain,
! [SV42: $i,SV24: $i,SV129: $i] :
( ( ( aNaturalNumber0 @ SV129 )
= $false )
| ( ( ( ( sdtpldt0 @ SV129 @ SV24 )
!= ( sdtpldt0 @ SV129 @ SV42 ) ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1057,plain,
! [SV42: $i,SV24: $i,SV130: $i] :
( ( ( aNaturalNumber0 @ SV130 )
= $false )
| ( ( sdtlseqdt0 @ ( sdtpldt0 @ SV130 @ SV24 ) @ ( sdtpldt0 @ SV130 @ SV42 ) )
= $true )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1058,plain,
! [SV94: $i,SV25: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ SV110 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1034]) ).
thf(1059,plain,
! [SV95: $i,SV25: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ SV111 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1035]) ).
thf(1060,plain,
! [SV96: $i,SV25: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ SV112 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1061,plain,
! [SV97: $i,SV25: $i,SV113: $i] :
( ( ( aNaturalNumber0 @ SV113 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1062,plain,
! [SV98: $i,SV25: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ SV114 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1063,plain,
! [SV99: $i,SV25: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ SV115 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1064,plain,
! [SV100: $i,SV25: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ SV116 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1065,plain,
! [SV101: $i,SV25: $i,SV117: $i] :
( ( ( aNaturalNumber0 @ SV117 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1066,plain,
! [SV102: $i,SV25: $i,SV118: $i] :
( ( ( aNaturalNumber0 @ SV118 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( ~ ( isPrime0 @ SV118 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV25 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1067,plain,
! [SV103: $i,SV25: $i,SV119: $i] :
( ( ( aNaturalNumber0 @ SV119 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( ~ ( isPrime0 @ SV119 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV25 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1068,plain,
! [SV104: $i,SV25: $i,SV120: $i] :
( ( ( aNaturalNumber0 @ SV120 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( ~ ( isPrime0 @ SV120 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV25 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1069,plain,
! [SV105: $i,SV25: $i,SV121: $i] :
( ( ( aNaturalNumber0 @ SV121 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( ~ ( isPrime0 @ SV121 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV25 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1070,plain,
! [SV106: $i,SV25: $i,SV122: $i] :
( ( ( aNaturalNumber0 @ SV122 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1071,plain,
! [SV107: $i,SV25: $i,SV123: $i] :
( ( ( aNaturalNumber0 @ SV123 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1072,plain,
! [SV108: $i,SV25: $i,SV124: $i] :
( ( ( aNaturalNumber0 @ SV124 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV25 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1048]) ).
thf(1073,plain,
! [SV109: $i,SV25: $i,SV125: $i] :
( ( ( aNaturalNumber0 @ SV125 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV25 @ SV109 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV25 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1049]) ).
thf(1074,plain,
! [SV20: $i,SV90: $i,SV88: $i] :
( ( ( sdtlseqdt0 @ SV88 @ SV90 )
= $false )
| ( ( SV88 = SV90 )
= $true )
| ( ( SV20 = sz00 )
= $true )
| ( ( ( ( sdtasdt0 @ SV20 @ SV88 )
!= ( sdtasdt0 @ SV20 @ SV90 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV88 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1075,plain,
! [SV20: $i,SV91: $i,SV89: $i] :
( ( ( sdtlseqdt0 @ SV89 @ SV91 )
= $false )
| ( ( SV89 = SV91 )
= $true )
| ( ( SV20 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV20 @ SV89 ) @ ( sdtasdt0 @ SV20 @ SV91 ) )
= $true )
| ( ( aNaturalNumber0 @ SV89 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1076,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)],[1054]) ).
thf(1077,plain,
! [SV42: $i,SV24: $i,SV129: $i] :
( ( ( ( sdtpldt0 @ SV129 @ SV24 )
= ( sdtpldt0 @ SV129 @ SV42 ) )
= $false )
| ( ( aNaturalNumber0 @ SV129 )
= $false )
| ( ( SV24 = SV42 )
= $true )
| ( ( sdtlseqdt0 @ SV24 @ SV42 )
= $false )
| ( ( aNaturalNumber0 @ SV24 )
= $false )
| ( ( aNaturalNumber0 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1078,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 )
| ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1079,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 )
| ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1059]) ).
thf(1080,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 )
| ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1060]) ).
thf(1081,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 )
| ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1082,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 )
| ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1062]) ).
thf(1083,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 )
| ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1063]) ).
thf(1084,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 )
| ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1064]) ).
thf(1085,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 )
| ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1065]) ).
thf(1086,plain,
! [SV102: $i,SV25: $i,SV118: $i] :
( ( ( ~ ( isPrime0 @ SV118 )
| ! [SY239: $i] :
( ( ( sdtasdt0 @ SV25 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1066]) ).
thf(1087,plain,
! [SV103: $i,SV25: $i,SV119: $i] :
( ( ( ~ ( isPrime0 @ SV119 )
| ! [SY240: $i] :
( ( ( sdtasdt0 @ SV25 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1088,plain,
! [SV104: $i,SV25: $i,SV120: $i] :
( ( ( ~ ( isPrime0 @ SV120 )
| ! [SY241: $i] :
( ( ( sdtasdt0 @ SV25 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1068]) ).
thf(1089,plain,
! [SV105: $i,SV25: $i,SV121: $i] :
( ( ( ~ ( isPrime0 @ SV121 )
| ! [SY242: $i] :
( ( ( sdtasdt0 @ SV25 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1069]) ).
thf(1090,plain,
! [SV106: $i,SV25: $i,SV122: $i] :
( ( ( ~ ( isPrime0 @ SV122 )
| ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1070]) ).
thf(1091,plain,
! [SV107: $i,SV25: $i,SV123: $i] :
( ( ( ~ ( isPrime0 @ SV123 )
| ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1071]) ).
thf(1092,plain,
! [SV108: $i,SV25: $i,SV124: $i] :
( ( ( ~ ( isPrime0 @ SV124 )
| ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV25 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1072]) ).
thf(1093,plain,
! [SV109: $i,SV25: $i,SV125: $i] :
( ( ( ~ ( isPrime0 @ SV125 )
| ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV25 @ SV109 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV25 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1073]) ).
thf(1094,plain,
! [SV90: $i,SV88: $i,SV20: $i] :
( ( ( ( sdtasdt0 @ SV20 @ SV88 )
= ( sdtasdt0 @ SV20 @ SV90 ) )
= $false )
| ( ( SV20 = sz00 )
= $true )
| ( ( SV88 = SV90 )
= $true )
| ( ( sdtlseqdt0 @ SV88 @ SV90 )
= $false )
| ( ( aNaturalNumber0 @ SV88 )
= $false )
| ( ( aNaturalNumber0 @ SV20 )
= $false )
| ( ( aNaturalNumber0 @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1095,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)],[1076]) ).
thf(1096,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) ) ) )
| ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1078]) ).
thf(1097,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) ) ) )
| ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1079]) ).
thf(1098,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) ) ) )
| ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1080]) ).
thf(1099,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) ) ) )
| ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1081]) ).
thf(1100,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) ) ) )
| ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1082]) ).
thf(1101,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) ) ) )
| ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1102,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) ) ) )
| ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1084]) ).
thf(1103,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) ) ) )
| ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1085]) ).
thf(1104,plain,
! [SV102: $i,SV25: $i,SV118: $i] :
( ( ( ~ ( isPrime0 @ SV118 ) )
= $true )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV25 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1086]) ).
thf(1105,plain,
! [SV103: $i,SV25: $i,SV119: $i] :
( ( ( ~ ( isPrime0 @ SV119 ) )
= $true )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV25 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1087]) ).
thf(1106,plain,
! [SV104: $i,SV25: $i,SV120: $i] :
( ( ( ~ ( isPrime0 @ SV120 ) )
= $true )
| ( ( ! [SY241: $i] :
( ( ( sdtasdt0 @ SV25 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1107,plain,
! [SV105: $i,SV25: $i,SV121: $i] :
( ( ( ~ ( isPrime0 @ SV121 ) )
= $true )
| ( ( ! [SY242: $i] :
( ( ( sdtasdt0 @ SV25 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1089]) ).
thf(1108,plain,
! [SV106: $i,SV25: $i,SV122: $i] :
( ( ( ~ ( isPrime0 @ SV122 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1090]) ).
thf(1109,plain,
! [SV107: $i,SV25: $i,SV123: $i] :
( ( ( ~ ( isPrime0 @ SV123 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1091]) ).
thf(1110,plain,
! [SV108: $i,SV25: $i,SV124: $i] :
( ( ( ~ ( isPrime0 @ SV124 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV25 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1092]) ).
thf(1111,plain,
! [SV109: $i,SV25: $i,SV125: $i] :
( ( ( ~ ( isPrime0 @ SV125 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV25 @ SV109 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV25 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1093]) ).
thf(1112,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)],[1095]) ).
thf(1113,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) ) ) ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1096]) ).
thf(1114,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) ) ) ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1097]) ).
thf(1115,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) ) ) ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1098]) ).
thf(1116,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) ) ) ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1099]) ).
thf(1117,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) ) ) ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1100]) ).
thf(1118,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) ) ) ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1101]) ).
thf(1119,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) ) ) ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1102]) ).
thf(1120,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) ) ) ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1103]) ).
thf(1121,plain,
! [SV102: $i,SV25: $i,SV118: $i] :
( ( ( isPrime0 @ SV118 )
= $false )
| ( ( ! [SY239: $i] :
( ( ( sdtasdt0 @ SV25 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SY239 ) )
| ~ ( aNaturalNumber0 @ SY239 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1122,plain,
! [SV103: $i,SV25: $i,SV119: $i] :
( ( ( isPrime0 @ SV119 )
= $false )
| ( ( ! [SY240: $i] :
( ( ( sdtasdt0 @ SV25 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SY240 ) )
| ~ ( aNaturalNumber0 @ SY240 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1123,plain,
! [SV104: $i,SV25: $i,SV120: $i] :
( ( ( isPrime0 @ SV120 )
= $false )
| ( ( ! [SY241: $i] :
( ( ( sdtasdt0 @ SV25 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SY241 ) )
| ~ ( aNaturalNumber0 @ SY241 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1124,plain,
! [SV105: $i,SV25: $i,SV121: $i] :
( ( ( isPrime0 @ SV121 )
= $false )
| ( ( ! [SY242: $i] :
( ( ( sdtasdt0 @ SV25 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SY242 ) )
| ~ ( aNaturalNumber0 @ SY242 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1125,plain,
! [SV106: $i,SV25: $i,SV122: $i] :
( ( ( isPrime0 @ SV122 )
= $false )
| ( ( ~ ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1108]) ).
thf(1126,plain,
! [SV107: $i,SV25: $i,SV123: $i] :
( ( ( isPrime0 @ SV123 )
= $false )
| ( ( ~ ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1109]) ).
thf(1127,plain,
! [SV108: $i,SV25: $i,SV124: $i] :
( ( ( isPrime0 @ SV124 )
= $false )
| ( ( ~ ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV25 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1110]) ).
thf(1128,plain,
! [SV109: $i,SV25: $i,SV125: $i] :
( ( ( isPrime0 @ SV125 )
= $false )
| ( ( ~ ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV25 @ SV109 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV25 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1111]) ).
thf(1129,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1130,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1114]) ).
thf(1131,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1132,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1133,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1134,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1118]) ).
thf(1135,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1119]) ).
thf(1136,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1120]) ).
thf(1137,plain,
! [SV132: $i,SV118: $i,SV102: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SV132 ) )
| ~ ( aNaturalNumber0 @ SV132 ) )
= $true )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1121]) ).
thf(1138,plain,
! [SV133: $i,SV119: $i,SV103: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SV133 ) )
| ~ ( aNaturalNumber0 @ SV133 ) )
= $true )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1122]) ).
thf(1139,plain,
! [SV134: $i,SV120: $i,SV104: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SV134 ) )
| ~ ( aNaturalNumber0 @ SV134 ) )
= $true )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1123]) ).
thf(1140,plain,
! [SV135: $i,SV121: $i,SV105: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SV135 ) )
| ~ ( aNaturalNumber0 @ SV135 ) )
= $true )
| ( ( isPrime0 @ SV121 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1124]) ).
thf(1141,plain,
! [SV106: $i,SV25: $i,SV122: $i] :
( ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1142,plain,
! [SV107: $i,SV25: $i,SV123: $i] :
( ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
= $false )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1143,plain,
! [SV108: $i,SV25: $i,SV124: $i] :
( ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
= $false )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV124 @ SV25 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1144,plain,
! [SV109: $i,SV25: $i,SV125: $i] :
( ( ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV25 @ SV109 ) )
= $false )
| ( ( isPrime0 @ SV125 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV125 @ SV25 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1145,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1146,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1147,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1130]) ).
thf(1148,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1130]) ).
thf(1149,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1131]) ).
thf(1150,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1131]) ).
thf(1151,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1132]) ).
thf(1152,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1132]) ).
thf(1153,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1133]) ).
thf(1154,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1133]) ).
thf(1155,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1134]) ).
thf(1156,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1134]) ).
thf(1157,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1135]) ).
thf(1158,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1135]) ).
thf(1159,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1136]) ).
thf(1160,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1136]) ).
thf(1161,plain,
! [SV132: $i,SV118: $i,SV102: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV102 )
!= ( sdtasdt0 @ SV118 @ SV132 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV132 ) )
= $true )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1137]) ).
thf(1162,plain,
! [SV133: $i,SV119: $i,SV103: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV103 )
!= ( sdtasdt0 @ SV119 @ SV133 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV133 ) )
= $true )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1138]) ).
thf(1163,plain,
! [SV134: $i,SV120: $i,SV104: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV104 )
!= ( sdtasdt0 @ SV120 @ SV134 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV134 ) )
= $true )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1139]) ).
thf(1164,plain,
! [SV135: $i,SV121: $i,SV105: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV105 )
!= ( sdtasdt0 @ SV121 @ SV135 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV135 ) )
= $true )
| ( ( isPrime0 @ SV121 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1140]) ).
thf(1165,plain,
! [SV122: $i,SV106: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1141]) ).
thf(1166,plain,
! [SV123: $i,SV107: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1142]) ).
thf(1167,plain,
! [SV124: $i,SV108: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV124 @ SV25 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) ) )
= $true )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1143]) ).
thf(1168,plain,
! [SV125: $i,SV109: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV125 @ SV25 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true )
| ( ( isPrime0 @ SV125 )
= $false )
| ( ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV25 @ SV109 ) )
= $false )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1144]) ).
thf(1169,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 ) ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1170,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) ) ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1146]) ).
thf(1171,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 ) ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1172,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) ) ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1173,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 ) ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1149]) ).
thf(1174,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) ) ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1150]) ).
thf(1175,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 ) ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1151]) ).
thf(1176,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) ) ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1152]) ).
thf(1177,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 ) ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1153]) ).
thf(1178,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) ) ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1154]) ).
thf(1179,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 ) ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1155]) ).
thf(1180,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) ) ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1156]) ).
thf(1181,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 ) ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1157]) ).
thf(1182,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) ) ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1158]) ).
thf(1183,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 ) ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1159]) ).
thf(1184,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) ) ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1160]) ).
thf(1185,plain,
! [SV132: $i,SV118: $i,SV102: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV132 ) )
= $true )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1186,plain,
! [SV133: $i,SV119: $i,SV103: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV133 ) )
= $true )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1187,plain,
! [SV134: $i,SV120: $i,SV104: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV134 ) )
= $true )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1188,plain,
! [SV135: $i,SV121: $i,SV105: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV105 )
= ( sdtasdt0 @ SV121 @ SV135 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV135 ) )
= $true )
| ( ( isPrime0 @ SV121 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1189,plain,
! [SV122: $i,SV106: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1190,plain,
! [SV123: $i,SV107: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ( doDivides0 @ SV123 @ SV107 ) )
= $true )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1191,plain,
! [SV124: $i,SV108: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV124 @ SV25 )
| ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) ) )
= $true )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1192,plain,
! [SV125: $i,SV109: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV125 @ SV25 )
| ( doDivides0 @ SV125 @ SV109 ) )
= $true )
| ( ( isPrime0 @ SV125 )
= $false )
| ( ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV25 @ SV109 ) )
= $false )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1193,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1194,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1195,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1196,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1197,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1198,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1174]) ).
thf(1199,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1175]) ).
thf(1200,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1176]) ).
thf(1201,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1177]) ).
thf(1202,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1178]) ).
thf(1203,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1204,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1180]) ).
thf(1205,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1206,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1182]) ).
thf(1207,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1183]) ).
thf(1208,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1209,plain,
! [SV118: $i,SV102: $i,SV25: $i,SV132: $i] :
( ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1185]) ).
thf(1210,plain,
! [SV119: $i,SV103: $i,SV25: $i,SV133: $i] :
( ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1211,plain,
! [SV120: $i,SV104: $i,SV25: $i,SV134: $i] :
( ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1187]) ).
thf(1212,plain,
! [SV121: $i,SV105: $i,SV25: $i,SV135: $i] :
( ( ( aNaturalNumber0 @ SV135 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV105 )
= ( sdtasdt0 @ SV121 @ SV135 ) )
= $false )
| ( ( isPrime0 @ SV121 )
= $false )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1213,plain,
! [SV106: $i,SV122: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1189]) ).
thf(1214,plain,
! [SV107: $i,SV123: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) ) )
= $true )
| ( ( doDivides0 @ SV123 @ SV107 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1190]) ).
thf(1215,plain,
! [SV108: $i,SV25: $i,SV124: $i] :
( ( ( doDivides0 @ SV124 @ SV25 )
= $true )
| ( ( ~ ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1191]) ).
thf(1216,plain,
! [SV109: $i,SV25: $i,SV125: $i] :
( ( ( doDivides0 @ SV125 @ SV25 )
= $true )
| ( ( doDivides0 @ SV125 @ SV109 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV109 ) @ SV125 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV125 )
= $false )
| ( ( doDivides0 @ SV125 @ ( sdtasdt0 @ SV25 @ SV109 ) )
= $false )
| ( ( aNaturalNumber0 @ SV109 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1192]) ).
thf(1217,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1193]) ).
thf(1218,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1193]) ).
thf(1219,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1194]) ).
thf(1220,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1194]) ).
thf(1221,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1195]) ).
thf(1222,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1195]) ).
thf(1223,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1196]) ).
thf(1224,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1196]) ).
thf(1225,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1197]) ).
thf(1226,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1197]) ).
thf(1227,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1198]) ).
thf(1228,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1198]) ).
thf(1229,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1199]) ).
thf(1230,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1199]) ).
thf(1231,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1200]) ).
thf(1232,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1200]) ).
thf(1233,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1201]) ).
thf(1234,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1201]) ).
thf(1235,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1202]) ).
thf(1236,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1202]) ).
thf(1237,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1203]) ).
thf(1238,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1203]) ).
thf(1239,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1204]) ).
thf(1240,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1204]) ).
thf(1241,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1205]) ).
thf(1242,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1205]) ).
thf(1243,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1206]) ).
thf(1244,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1206]) ).
thf(1245,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1207]) ).
thf(1246,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1207]) ).
thf(1247,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1208]) ).
thf(1248,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1208]) ).
thf(1249,plain,
! [SV132: $i,SV118: $i,SV102: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1209]) ).
thf(1250,plain,
! [SV133: $i,SV119: $i,SV103: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1210]) ).
thf(1251,plain,
! [SV134: $i,SV120: $i,SV104: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1211]) ).
thf(1252,plain,
! [SV135: $i,SV121: $i,SV105: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( isPrime0 @ SV121 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV105 )
= ( sdtasdt0 @ SV121 @ SV135 ) )
= $false )
| ( ( aNaturalNumber0 @ SV135 )
= $false )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1212]) ).
thf(1253,plain,
! [SV106: $i,SV122: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1254,plain,
! [SV107: $i,SV123: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV123 @ SV107 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1214]) ).
thf(1255,plain,
! [SV25: $i,SV124: $i,SV108: $i] :
( ( ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV124 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1215]) ).
thf(1256,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1217]) ).
thf(1257,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1218]) ).
thf(1258,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= sz10 ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1219]) ).
thf(1259,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
!= SV110 ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1220]) ).
thf(1260,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1221]) ).
thf(1261,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1222]) ).
thf(1262,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= sz10 ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1223]) ).
thf(1263,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
!= SV111 ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1224]) ).
thf(1264,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1225]) ).
thf(1265,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1226]) ).
thf(1266,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= sz10 ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1227]) ).
thf(1267,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
!= SV112 ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1228]) ).
thf(1268,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1229]) ).
thf(1269,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1230]) ).
thf(1270,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= sz10 ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1231]) ).
thf(1271,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
!= SV113 ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1232]) ).
thf(1272,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1233]) ).
thf(1273,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1234]) ).
thf(1274,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= sz10 ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1235]) ).
thf(1275,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
!= SV114 ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1236]) ).
thf(1276,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1237]) ).
thf(1277,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1238]) ).
thf(1278,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= sz10 ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1239]) ).
thf(1279,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
!= SV115 ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1240]) ).
thf(1280,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1241]) ).
thf(1281,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1282,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= sz10 ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1243]) ).
thf(1283,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
!= SV116 ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1244]) ).
thf(1284,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1285,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1246]) ).
thf(1286,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= sz10 ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1287,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
!= SV117 ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1248]) ).
thf(1288,plain,
! [SV132: $i,SV118: $i,SV102: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1289,plain,
! [SV133: $i,SV119: $i,SV103: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ( doDivides0 @ SV119 @ SV103 ) )
= $true )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1290,plain,
! [SV134: $i,SV120: $i,SV104: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV120 @ SV25 )
| ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1251]) ).
thf(1291,plain,
! [SV135: $i,SV121: $i,SV105: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV121 @ SV25 )
| ( doDivides0 @ SV121 @ SV105 ) )
= $true )
| ( ( isPrime0 @ SV121 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV105 )
= ( sdtasdt0 @ SV121 @ SV135 ) )
= $false )
| ( ( aNaturalNumber0 @ SV135 )
= $false )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1292,plain,
! [SV106: $i,SV122: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1253]) ).
thf(1293,plain,
! [SV25: $i,SV106: $i,SV122: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1253]) ).
thf(1294,plain,
! [SV107: $i,SV123: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV123 @ SV107 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1254]) ).
thf(1295,plain,
! [SV25: $i,SV107: $i,SV123: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV123 @ SV107 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1254]) ).
thf(1296,plain,
! [SV25: $i,SV124: $i,SV108: $i] :
( ( ( ( SV108
!= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV124 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1255]) ).
thf(1297,plain,
! [SV25: $i,SV108: $i,SV124: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV124 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1255]) ).
thf(1298,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1256]) ).
thf(1299,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1257]) ).
thf(1300,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1301,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1302,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1260]) ).
thf(1303,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1261]) ).
thf(1304,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= sz10 )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1262]) ).
thf(1305,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= SV111 )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1306,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1307,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1265]) ).
thf(1308,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= sz10 )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1266]) ).
thf(1309,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= SV112 )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1310,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1268]) ).
thf(1311,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1269]) ).
thf(1312,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= sz10 )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1270]) ).
thf(1313,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= SV113 )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1314,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1272]) ).
thf(1315,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1273]) ).
thf(1316,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1274]) ).
thf(1317,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1275]) ).
thf(1318,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1276]) ).
thf(1319,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1277]) ).
thf(1320,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= sz10 )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1278]) ).
thf(1321,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= SV115 )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1322,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1280]) ).
thf(1323,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1281]) ).
thf(1324,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= sz10 )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1325,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= SV116 )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1326,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1284]) ).
thf(1327,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1285]) ).
thf(1328,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
= sz10 )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1286]) ).
thf(1329,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
= SV117 )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1287]) ).
thf(1330,plain,
! [SV132: $i,SV102: $i,SV118: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1288]) ).
thf(1331,plain,
! [SV133: $i,SV103: $i,SV119: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) ) )
= $true )
| ( ( doDivides0 @ SV119 @ SV103 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1289]) ).
thf(1332,plain,
! [SV134: $i,SV104: $i,SV25: $i,SV120: $i] :
( ( ( doDivides0 @ SV120 @ SV25 )
= $true )
| ( ( ~ ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1290]) ).
thf(1333,plain,
! [SV135: $i,SV105: $i,SV25: $i,SV121: $i] :
( ( ( doDivides0 @ SV121 @ SV25 )
= $true )
| ( ( doDivides0 @ SV121 @ SV105 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV105 ) @ SV121 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV121 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV105 )
= ( sdtasdt0 @ SV121 @ SV135 ) )
= $false )
| ( ( aNaturalNumber0 @ SV135 )
= $false )
| ( ( aNaturalNumber0 @ SV105 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1291]) ).
thf(1334,plain,
! [SV106: $i,SV122: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
= $true )
| ( ( ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1292]) ).
thf(1335,plain,
! [SV25: $i,SV106: $i,SV122: $i] :
( ( ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) )
= $true )
| ( ( ~ ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1336,plain,
! [SV107: $i,SV123: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV123 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV123 @ SV107 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1294]) ).
thf(1337,plain,
! [SV25: $i,SV107: $i,SV123: $i] :
( ( ( aNaturalNumber0 @ ( sK9_W3 @ SV123 @ SV107 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV123 @ SV107 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV107 ) @ SV123 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV123 )
= $false )
| ( ( doDivides0 @ SV123 @ ( sdtasdt0 @ SV25 @ SV107 ) )
= $false )
| ( ( aNaturalNumber0 @ SV107 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV123 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1295]) ).
thf(1338,plain,
! [SV25: $i,SV124: $i,SV108: $i] :
( ( ( SV108
= ( sdtasdt0 @ SV124 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV124 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1296]) ).
thf(1339,plain,
! [SV25: $i,SV108: $i,SV124: $i] :
( ( ( aNaturalNumber0 @ ( sK8_W3 @ SV124 @ SV108 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV124 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV108 ) @ SV124 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV124 )
= $false )
| ( ( doDivides0 @ SV124 @ ( sdtasdt0 @ SV25 @ SV108 ) )
= $false )
| ( ( aNaturalNumber0 @ SV108 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1297]) ).
thf(1340,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1298]) ).
thf(1341,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1298]) ).
thf(1342,plain,
! [SV136: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV136 ) )
| ~ ( aNaturalNumber0 @ SV136 ) )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1299]) ).
thf(1343,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1300]) ).
thf(1344,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1301]) ).
thf(1345,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1302]) ).
thf(1346,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1302]) ).
thf(1347,plain,
! [SV137: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV137 ) )
| ~ ( aNaturalNumber0 @ SV137 ) )
= $true )
| ( ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1303]) ).
thf(1348,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= sz10 )
= $false )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1304]) ).
thf(1349,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= SV111 )
= $false )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1305]) ).
thf(1350,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1306]) ).
thf(1351,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1306]) ).
thf(1352,plain,
! [SV138: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV138 ) )
| ~ ( aNaturalNumber0 @ SV138 ) )
= $true )
| ( ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1307]) ).
thf(1353,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= sz10 )
= $false )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1308]) ).
thf(1354,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= SV112 )
= $false )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1309]) ).
thf(1355,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1310]) ).
thf(1356,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1310]) ).
thf(1357,plain,
! [SV139: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV139 ) )
| ~ ( aNaturalNumber0 @ SV139 ) )
= $true )
| ( ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1311]) ).
thf(1358,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= sz10 )
= $false )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1312]) ).
thf(1359,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= SV113 )
= $false )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1313]) ).
thf(1360,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1361,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1362,plain,
! [SV98: $i,SV25: $i,SV114: $i] :
( ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1315]) ).
thf(1363,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1316]) ).
thf(1364,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1317]) ).
thf(1365,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1318]) ).
thf(1366,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1318]) ).
thf(1367,plain,
! [SV99: $i,SV25: $i,SV115: $i] :
( ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1368,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1320]) ).
thf(1369,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= SV115 )
= $false )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1321]) ).
thf(1370,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1322]) ).
thf(1371,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1322]) ).
thf(1372,plain,
! [SV100: $i,SV25: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1323]) ).
thf(1373,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1324]) ).
thf(1374,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= SV116 )
= $false )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1325]) ).
thf(1375,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1326]) ).
thf(1376,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1326]) ).
thf(1377,plain,
! [SV101: $i,SV25: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1378,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
= sz10 )
= $false )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1328]) ).
thf(1379,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
= SV117 )
= $false )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1329]) ).
thf(1380,plain,
! [SV132: $i,SV102: $i,SV118: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1330]) ).
thf(1381,plain,
! [SV133: $i,SV103: $i,SV119: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV119 @ SV103 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1382,plain,
! [SV134: $i,SV25: $i,SV120: $i,SV104: $i] :
( ( ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV120 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1332]) ).
thf(1383,plain,
! [SV25: $i,SV122: $i,SV106: $i] :
( ( ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1384,plain,
! [SV25: $i,SV122: $i,SV106: $i] :
( ( ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1335]) ).
thf(1385,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1340]) ).
thf(1386,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1341]) ).
thf(1387,plain,
! [SV136: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV136 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV136 ) )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1342]) ).
thf(1388,plain,
! [SV140: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV140 ) )
| ~ ( aNaturalNumber0 @ SV140 ) )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1343]) ).
thf(1389,plain,
! [SV141: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV141 ) )
| ~ ( aNaturalNumber0 @ SV141 ) )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1390,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1345]) ).
thf(1391,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1346]) ).
thf(1392,plain,
! [SV137: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV137 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV137 ) )
= $true )
| ( ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1347]) ).
thf(1393,plain,
! [SV142: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV142 ) )
| ~ ( aNaturalNumber0 @ SV142 ) )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= sz10 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1348]) ).
thf(1394,plain,
! [SV143: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV143 ) )
| ~ ( aNaturalNumber0 @ SV143 ) )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= SV111 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1349]) ).
thf(1395,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1350]) ).
thf(1396,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1351]) ).
thf(1397,plain,
! [SV138: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV138 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV138 ) )
= $true )
| ( ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1352]) ).
thf(1398,plain,
! [SV144: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV144 ) )
| ~ ( aNaturalNumber0 @ SV144 ) )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= sz10 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1353]) ).
thf(1399,plain,
! [SV145: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV145 ) )
| ~ ( aNaturalNumber0 @ SV145 ) )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= SV112 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1354]) ).
thf(1400,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1355]) ).
thf(1401,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1356]) ).
thf(1402,plain,
! [SV139: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV139 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV139 ) )
= $true )
| ( ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1357]) ).
thf(1403,plain,
! [SV146: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV146 ) )
| ~ ( aNaturalNumber0 @ SV146 ) )
= $true )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= sz10 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1358]) ).
thf(1404,plain,
! [SV147: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV147 ) )
| ~ ( aNaturalNumber0 @ SV147 ) )
= $true )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= SV113 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1359]) ).
thf(1405,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1360]) ).
thf(1406,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1407,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1362]) ).
thf(1408,plain,
! [SV98: $i,SV25: $i,SV114: $i] :
( ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1363]) ).
thf(1409,plain,
! [SV98: $i,SV25: $i,SV114: $i] :
( ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1364]) ).
thf(1410,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1365]) ).
thf(1411,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1366]) ).
thf(1412,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1367]) ).
thf(1413,plain,
! [SV99: $i,SV25: $i,SV115: $i] :
( ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= sz10 )
= $false )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1368]) ).
thf(1414,plain,
! [SV99: $i,SV25: $i,SV115: $i] :
( ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= SV115 )
= $false )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1369]) ).
thf(1415,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1370]) ).
thf(1416,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1371]) ).
thf(1417,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1372]) ).
thf(1418,plain,
! [SV100: $i,SV25: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= sz10 )
= $false )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1419,plain,
! [SV100: $i,SV25: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= SV116 )
= $false )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1374]) ).
thf(1420,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1375]) ).
thf(1421,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1376]) ).
thf(1422,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1377]) ).
thf(1423,plain,
! [SV101: $i,SV25: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
= sz10 )
= $false )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1378]) ).
thf(1424,plain,
! [SV101: $i,SV25: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
= SV117 )
= $false )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1379]) ).
thf(1425,plain,
! [SV132: $i,SV102: $i,SV118: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1380]) ).
thf(1426,plain,
! [SV132: $i,SV25: $i,SV102: $i,SV118: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1380]) ).
thf(1427,plain,
! [SV133: $i,SV103: $i,SV119: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV119 @ SV103 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1381]) ).
thf(1428,plain,
! [SV133: $i,SV25: $i,SV103: $i,SV119: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV119 @ SV103 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1381]) ).
thf(1429,plain,
! [SV134: $i,SV25: $i,SV120: $i,SV104: $i] :
( ( ( ( SV104
!= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV120 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1382]) ).
thf(1430,plain,
! [SV134: $i,SV25: $i,SV104: $i,SV120: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV120 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1382]) ).
thf(1431,plain,
! [SV25: $i,SV122: $i,SV106: $i] :
( ( ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1383]) ).
thf(1432,plain,
! [SV25: $i,SV106: $i,SV122: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1383]) ).
thf(1433,plain,
! [SV25: $i,SV122: $i,SV106: $i] :
( ( ( ( SV106
!= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1384]) ).
thf(1434,plain,
! [SV25: $i,SV106: $i,SV122: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1384]) ).
thf(1435,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1385]) ).
thf(1436,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1386]) ).
thf(1437,plain,
! [SV136: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV136 ) )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1387]) ).
thf(1438,plain,
! [SV140: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV140 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV140 ) )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1388]) ).
thf(1439,plain,
! [SV141: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV141 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV141 ) )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1389]) ).
thf(1440,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1390]) ).
thf(1441,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1391]) ).
thf(1442,plain,
! [SV137: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV137 ) )
= $true )
| ( ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1443,plain,
! [SV142: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV142 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV142 ) )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= sz10 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1393]) ).
thf(1444,plain,
! [SV143: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV143 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV143 ) )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= SV111 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1394]) ).
thf(1445,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1446,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1396]) ).
thf(1447,plain,
! [SV138: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV138 ) )
= $true )
| ( ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1397]) ).
thf(1448,plain,
! [SV144: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV144 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV144 ) )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= sz10 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1449,plain,
! [SV145: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV145 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV145 ) )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= SV112 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1399]) ).
thf(1450,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1400]) ).
thf(1451,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1401]) ).
thf(1452,plain,
! [SV139: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV139 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV139 ) )
= $true )
| ( ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1402]) ).
thf(1453,plain,
! [SV146: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV146 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV146 ) )
= $true )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= sz10 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1403]) ).
thf(1454,plain,
! [SV147: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV147 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV147 ) )
= $true )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= SV113 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1404]) ).
thf(1455,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1456,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1406]) ).
thf(1457,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1407]) ).
thf(1458,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1408]) ).
thf(1459,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1409]) ).
thf(1460,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1410]) ).
thf(1461,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1411]) ).
thf(1462,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1463,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1413]) ).
thf(1464,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1414]) ).
thf(1465,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1466,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1416]) ).
thf(1467,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1417]) ).
thf(1468,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1418]) ).
thf(1469,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1419]) ).
thf(1470,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1420]) ).
thf(1471,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1421]) ).
thf(1472,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1422]) ).
thf(1473,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1423]) ).
thf(1474,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
= SV117 )
= $false )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1424]) ).
thf(1475,plain,
! [SV132: $i,SV102: $i,SV118: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
= $true )
| ( ( ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1425]) ).
thf(1476,plain,
! [SV132: $i,SV25: $i,SV102: $i,SV118: $i] :
( ( ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) )
= $true )
| ( ( ~ ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1426]) ).
thf(1477,plain,
! [SV133: $i,SV103: $i,SV119: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV119 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV119 @ SV103 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1427]) ).
thf(1478,plain,
! [SV133: $i,SV25: $i,SV103: $i,SV119: $i] :
( ( ( aNaturalNumber0 @ ( sK13_W3 @ SV119 @ SV103 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV119 @ SV103 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV103 ) @ SV119 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV119 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV103 )
= ( sdtasdt0 @ SV119 @ SV133 ) )
= $false )
| ( ( aNaturalNumber0 @ SV133 )
= $false )
| ( ( aNaturalNumber0 @ SV103 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV119 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1428]) ).
thf(1479,plain,
! [SV134: $i,SV25: $i,SV120: $i,SV104: $i] :
( ( ( SV104
= ( sdtasdt0 @ SV120 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV120 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1429]) ).
thf(1480,plain,
! [SV134: $i,SV25: $i,SV104: $i,SV120: $i] :
( ( ( aNaturalNumber0 @ ( sK12_W3 @ SV120 @ SV104 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV120 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV104 ) @ SV120 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV120 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV104 )
= ( sdtasdt0 @ SV120 @ SV134 ) )
= $false )
| ( ( aNaturalNumber0 @ SV134 )
= $false )
| ( ( aNaturalNumber0 @ SV104 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1430]) ).
thf(1481,plain,
! [SV25: $i,SV122: $i,SV106: $i] :
( ( ( SV106
= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1431]) ).
thf(1482,plain,
! [SV25: $i,SV106: $i,SV122: $i] :
( ( ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV122 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1432]) ).
thf(1483,plain,
! [SV25: $i,SV122: $i,SV106: $i] :
( ( ( SV106
= ( sdtasdt0 @ SV122 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1484,plain,
! [SV25: $i,SV106: $i,SV122: $i] :
( ( ( aNaturalNumber0 @ ( sK10_W3 @ SV122 @ SV106 @ SV25 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK11_W3 @ SV122 @ SV106 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV106 ) @ SV122 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV122 )
= $false )
| ( ( doDivides0 @ SV122 @ ( sdtasdt0 @ SV25 @ SV106 ) )
= $false )
| ( ( aNaturalNumber0 @ SV106 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1485,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ( SV110
!= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1486,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1487,plain,
! [SV148: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV148 ) )
| ~ ( aNaturalNumber0 @ SV148 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1436]) ).
thf(1488,plain,
! [SV110: $i,SV94: $i,SV25: $i,SV136: $i] :
( ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1437]) ).
thf(1489,plain,
! [SV140: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV140 ) )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1438]) ).
thf(1490,plain,
! [SV141: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV141 ) )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1439]) ).
thf(1491,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ( SV111
!= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1440]) ).
thf(1492,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1440]) ).
thf(1493,plain,
! [SV149: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV149 ) )
| ~ ( aNaturalNumber0 @ SV149 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1441]) ).
thf(1494,plain,
! [SV111: $i,SV95: $i,SV25: $i,SV137: $i] :
( ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1495,plain,
! [SV142: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV142 ) )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= sz10 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1496,plain,
! [SV143: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV143 ) )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= SV111 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1444]) ).
thf(1497,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ( SV112
!= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1445]) ).
thf(1498,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1445]) ).
thf(1499,plain,
! [SV150: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV150 ) )
| ~ ( aNaturalNumber0 @ SV150 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1446]) ).
thf(1500,plain,
! [SV112: $i,SV96: $i,SV25: $i,SV138: $i] :
( ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1501,plain,
! [SV144: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV144 ) )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= sz10 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1502,plain,
! [SV145: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV145 ) )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= SV112 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1449]) ).
thf(1503,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ( SV113
!= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1450]) ).
thf(1504,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
= $false )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1450]) ).
thf(1505,plain,
! [SV151: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV151 ) )
| ~ ( aNaturalNumber0 @ SV151 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1451]) ).
thf(1506,plain,
! [SV113: $i,SV97: $i,SV25: $i,SV139: $i] :
( ( ( aNaturalNumber0 @ SV139 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV139 ) )
= $false )
| ( ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1452]) ).
thf(1507,plain,
! [SV146: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV146 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV146 ) )
= $true )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= sz10 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1453]) ).
thf(1508,plain,
! [SV147: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV147 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV147 ) )
= $true )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= SV113 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1509,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ( SV114
!= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1455]) ).
thf(1510,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1455]) ).
thf(1511,plain,
! [SV98: $i,SV25: $i,SV114: $i] :
( ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1512,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1457]) ).
thf(1513,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1514,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1515,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ( SV115
!= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1460]) ).
thf(1516,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1460]) ).
thf(1517,plain,
! [SV99: $i,SV25: $i,SV115: $i] :
( ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1461]) ).
thf(1518,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1462]) ).
thf(1519,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1463]) ).
thf(1520,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1464]) ).
thf(1521,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ( SV116
!= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1465]) ).
thf(1522,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1465]) ).
thf(1523,plain,
! [SV100: $i,SV25: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1466]) ).
thf(1524,plain,
! [SV100: $i,SV25: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1467]) ).
thf(1525,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1468]) ).
thf(1526,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1469]) ).
thf(1527,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ( SV117
!= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1470]) ).
thf(1528,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
= $false )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1470]) ).
thf(1529,plain,
! [SV101: $i,SV25: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1471]) ).
thf(1530,plain,
! [SV101: $i,SV25: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ SV25 )
= $true )
| ( ( doDivides0 @ SV117 @ SV101 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ SV117 )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1472]) ).
thf(1531,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1473]) ).
thf(1532,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
= SV117 )
= $false )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1474]) ).
thf(1533,plain,
! [SV132: $i,SV25: $i,SV118: $i,SV102: $i] :
( ( ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1475]) ).
thf(1534,plain,
! [SV132: $i,SV25: $i,SV118: $i,SV102: $i] :
( ( ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1476]) ).
thf(1535,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1485]) ).
thf(1536,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( SV110 = sz00 )
| ( SV110 = sz10 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1486]) ).
thf(1537,plain,
! [SV148: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV148 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV148 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1487]) ).
thf(1538,plain,
! [SV136: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1488]) ).
thf(1539,plain,
! [SV110: $i,SV94: $i,SV25: $i,SV140: $i] :
( ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1489]) ).
thf(1540,plain,
! [SV110: $i,SV94: $i,SV25: $i,SV141: $i] :
( ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1490]) ).
thf(1541,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( SV111
= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1491]) ).
thf(1542,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( SV111 = sz00 )
| ( SV111 = sz10 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1492]) ).
thf(1543,plain,
! [SV149: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV149 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV149 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1493]) ).
thf(1544,plain,
! [SV137: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1494]) ).
thf(1545,plain,
! [SV111: $i,SV95: $i,SV25: $i,SV142: $i] :
( ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= sz10 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1495]) ).
thf(1546,plain,
! [SV111: $i,SV95: $i,SV25: $i,SV143: $i] :
( ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= SV111 )
= $false )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1547,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( SV112
= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1497]) ).
thf(1548,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( SV112 = sz00 )
| ( SV112 = sz10 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1498]) ).
thf(1549,plain,
! [SV150: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV150 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV150 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1499]) ).
thf(1550,plain,
! [SV138: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1500]) ).
thf(1551,plain,
! [SV112: $i,SV96: $i,SV25: $i,SV144: $i] :
( ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= sz10 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1501]) ).
thf(1552,plain,
! [SV112: $i,SV96: $i,SV25: $i,SV145: $i] :
( ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= SV112 )
= $false )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1502]) ).
thf(1553,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( SV113
= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1503]) ).
thf(1554,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( ( SV113 = sz00 )
| ( SV113 = sz10 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1504]) ).
thf(1555,plain,
! [SV151: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV151 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV151 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1505]) ).
thf(1556,plain,
! [SV139: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV139 ) )
= $false )
| ( ( aNaturalNumber0 @ SV139 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1506]) ).
thf(1557,plain,
! [SV113: $i,SV97: $i,SV25: $i,SV146: $i] :
( ( ( aNaturalNumber0 @ SV146 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV146 ) )
= $false )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= sz10 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1507]) ).
thf(1558,plain,
! [SV113: $i,SV97: $i,SV25: $i,SV147: $i] :
( ( ( aNaturalNumber0 @ SV147 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV147 ) )
= $false )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= SV113 )
= $false )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1508]) ).
thf(1559,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1509]) ).
thf(1560,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( ( SV114 = sz00 )
| ( SV114 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1510]) ).
thf(1561,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1511]) ).
thf(1562,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1512]) ).
thf(1563,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1513]) ).
thf(1564,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1514]) ).
thf(1565,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( SV115
= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1515]) ).
thf(1566,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( ( SV115 = sz00 )
| ( SV115 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1516]) ).
thf(1567,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1517]) ).
thf(1568,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1569,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1519]) ).
thf(1570,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1520]) ).
thf(1571,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( SV116
= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1521]) ).
thf(1572,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( ( SV116 = sz00 )
| ( SV116 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1522]) ).
thf(1573,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1523]) ).
thf(1574,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1524]) ).
thf(1575,plain,
! [SV100: $i,SV25: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1525]) ).
thf(1576,plain,
! [SV100: $i,SV25: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1526]) ).
thf(1577,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( SV117
= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1527]) ).
thf(1578,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) )
= $true )
| ( ( ( SV117 = sz00 )
| ( SV117 = sz10 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1528]) ).
thf(1579,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1529]) ).
thf(1580,plain,
! [SV101: $i,SV25: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ SV25 )
= $true )
| ( ( doDivides0 @ SV117 @ SV101 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1531]) ).
thf(1581,plain,
! [SV101: $i,SV25: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ SV25 )
= $true )
| ( ( doDivides0 @ SV117 @ SV101 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( ( sK16_W3 @ SV117 @ SV101 @ SV25 )
= SV117 )
= $false )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1532]) ).
thf(1582,plain,
! [SV132: $i,SV25: $i,SV118: $i,SV102: $i] :
( ( ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1533]) ).
thf(1583,plain,
! [SV132: $i,SV25: $i,SV102: $i,SV118: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1533]) ).
thf(1584,plain,
! [SV132: $i,SV25: $i,SV118: $i,SV102: $i] :
( ( ( ( SV102
!= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1585,plain,
! [SV132: $i,SV25: $i,SV102: $i,SV118: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1586,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1535]) ).
thf(1587,plain,
! [SV25: $i,SV94: $i,SV110: $i] :
( ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ! [SY235: $i] :
( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SY235 ) )
| ~ ( aNaturalNumber0 @ SY235 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1536]) ).
thf(1588,plain,
! [SV148: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV148 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1537]) ).
thf(1589,plain,
! [SV136: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1538]) ).
thf(1590,plain,
! [SV140: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1539]) ).
thf(1591,plain,
! [SV141: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1540]) ).
thf(1592,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1541]) ).
thf(1593,plain,
! [SV25: $i,SV95: $i,SV111: $i] :
( ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ! [SY236: $i] :
( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SY236 ) )
| ~ ( aNaturalNumber0 @ SY236 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1542]) ).
thf(1594,plain,
! [SV149: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV149 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1595,plain,
! [SV137: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1544]) ).
thf(1596,plain,
! [SV142: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1545]) ).
thf(1597,plain,
! [SV143: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1546]) ).
thf(1598,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1547]) ).
thf(1599,plain,
! [SV25: $i,SV96: $i,SV112: $i] :
( ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ! [SY237: $i] :
( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SY237 ) )
| ~ ( aNaturalNumber0 @ SY237 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1548]) ).
thf(1600,plain,
! [SV150: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV150 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1549]) ).
thf(1601,plain,
! [SV138: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1602,plain,
! [SV144: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1551]) ).
thf(1603,plain,
! [SV145: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1552]) ).
thf(1604,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113
= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1553]) ).
thf(1605,plain,
! [SV25: $i,SV97: $i,SV113: $i] :
( ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( ! [SY238: $i] :
( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SY238 ) )
| ~ ( aNaturalNumber0 @ SY238 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1554]) ).
thf(1606,plain,
! [SV151: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV151 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV151 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1555]) ).
thf(1607,plain,
! [SV139: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV139 ) )
= $false )
| ( ( aNaturalNumber0 @ SV139 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1608,plain,
! [SV146: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV146 ) )
= $false )
| ( ( aNaturalNumber0 @ SV146 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1557]) ).
thf(1609,plain,
! [SV147: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= SV113 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV147 ) )
= $false )
| ( ( aNaturalNumber0 @ SV147 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1558]) ).
thf(1610,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1559]) ).
thf(1611,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1560]) ).
thf(1612,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1561]) ).
thf(1613,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1562]) ).
thf(1614,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1562]) ).
thf(1615,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1563]) ).
thf(1616,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1617,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1565]) ).
thf(1618,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1566]) ).
thf(1619,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1567]) ).
thf(1620,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1568]) ).
thf(1621,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1568]) ).
thf(1622,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1569]) ).
thf(1623,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1624,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1571]) ).
thf(1625,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1572]) ).
thf(1626,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1573]) ).
thf(1627,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1574]) ).
thf(1628,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1574]) ).
thf(1629,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1575]) ).
thf(1630,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1576]) ).
thf(1631,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117
= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1577]) ).
thf(1632,plain,
! [SV25: $i,SV101: $i,SV117: $i] :
( ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1578]) ).
thf(1633,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1579]) ).
thf(1634,plain,
! [SV132: $i,SV25: $i,SV118: $i,SV102: $i] :
( ( ( SV102
= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1582]) ).
thf(1635,plain,
! [SV132: $i,SV25: $i,SV102: $i,SV118: $i] :
( ( ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV118 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1583]) ).
thf(1636,plain,
! [SV132: $i,SV25: $i,SV118: $i,SV102: $i] :
( ( ( SV102
= ( sdtasdt0 @ SV118 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1584]) ).
thf(1637,plain,
! [SV132: $i,SV25: $i,SV102: $i,SV118: $i] :
( ( ( aNaturalNumber0 @ ( sK14_W3 @ SV118 @ SV102 @ SV25 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK15_W3 @ SV118 @ SV102 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV102 ) @ SV118 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( isPrime0 @ SV118 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV102 )
= ( sdtasdt0 @ SV118 @ SV132 ) )
= $false )
| ( ( aNaturalNumber0 @ SV132 )
= $false )
| ( ( aNaturalNumber0 @ SV102 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1585]) ).
thf(1638,plain,
! [SV152: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV152 ) )
| ~ ( aNaturalNumber0 @ SV152 ) )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1586]) ).
thf(1639,plain,
! [SV153: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV153 ) )
| ~ ( aNaturalNumber0 @ SV153 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1587]) ).
thf(1640,plain,
! [SV110: $i,SV94: $i,SV25: $i,SV148: $i] :
( ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1588]) ).
thf(1641,plain,
! [SV136: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1589]) ).
thf(1642,plain,
! [SV140: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1590]) ).
thf(1643,plain,
! [SV141: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1591]) ).
thf(1644,plain,
! [SV154: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV154 ) )
| ~ ( aNaturalNumber0 @ SV154 ) )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1592]) ).
thf(1645,plain,
! [SV155: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV155 ) )
| ~ ( aNaturalNumber0 @ SV155 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1593]) ).
thf(1646,plain,
! [SV111: $i,SV95: $i,SV25: $i,SV149: $i] :
( ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1594]) ).
thf(1647,plain,
! [SV137: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1595]) ).
thf(1648,plain,
! [SV142: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1596]) ).
thf(1649,plain,
! [SV143: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1597]) ).
thf(1650,plain,
! [SV156: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV156 ) )
| ~ ( aNaturalNumber0 @ SV156 ) )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1598]) ).
thf(1651,plain,
! [SV157: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV157 ) )
| ~ ( aNaturalNumber0 @ SV157 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1599]) ).
thf(1652,plain,
! [SV112: $i,SV96: $i,SV25: $i,SV150: $i] :
( ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1600]) ).
thf(1653,plain,
! [SV138: $i,SV96: $i,SV25: $i,SV112: $i] :
( ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1601]) ).
thf(1654,plain,
! [SV144: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1602]) ).
thf(1655,plain,
! [SV145: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1603]) ).
thf(1656,plain,
! [SV158: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV158 ) )
| ~ ( aNaturalNumber0 @ SV158 ) )
= $true )
| ( ( SV113
= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1604]) ).
thf(1657,plain,
! [SV159: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV159 ) )
| ~ ( aNaturalNumber0 @ SV159 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1605]) ).
thf(1658,plain,
! [SV113: $i,SV97: $i,SV25: $i,SV151: $i] :
( ( ( aNaturalNumber0 @ SV151 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV151 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1606]) ).
thf(1659,plain,
! [SV139: $i,SV97: $i,SV25: $i,SV113: $i] :
( ( ( doDivides0 @ SV113 @ SV25 )
= $true )
| ( ( doDivides0 @ SV113 @ SV97 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ SV113 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV139 ) )
= $false )
| ( ( aNaturalNumber0 @ SV139 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1607]) ).
thf(1660,plain,
! [SV146: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV146 ) )
= $false )
| ( ( aNaturalNumber0 @ SV146 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1661,plain,
! [SV147: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= SV113 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV147 ) )
= $false )
| ( ( aNaturalNumber0 @ SV147 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1662,plain,
! [SV98: $i,SV25: $i,SV114: $i] :
( ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1610]) ).
thf(1663,plain,
! [SV98: $i,SV25: $i,SV114: $i] :
( ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1611]) ).
thf(1664,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1612]) ).
thf(1665,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1613]) ).
thf(1666,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1614]) ).
thf(1667,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1615]) ).
thf(1668,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1615]) ).
thf(1669,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1670,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1671,plain,
! [SV99: $i,SV25: $i,SV115: $i] :
( ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( SV115
= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1617]) ).
thf(1672,plain,
! [SV99: $i,SV25: $i,SV115: $i] :
( ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1618]) ).
thf(1673,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1619]) ).
thf(1674,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1620]) ).
thf(1675,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ SV115 )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1621]) ).
thf(1676,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1622]) ).
thf(1677,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1622]) ).
thf(1678,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1623]) ).
thf(1679,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1623]) ).
thf(1680,plain,
! [SV100: $i,SV25: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( SV116
= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1624]) ).
thf(1681,plain,
! [SV100: $i,SV25: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1625]) ).
thf(1682,plain,
! [SV100: $i,SV25: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1626]) ).
thf(1683,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( SV100
= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1627]) ).
thf(1684,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ SV116 )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1628]) ).
thf(1685,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1629]) ).
thf(1686,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1629]) ).
thf(1687,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1688,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1689,plain,
! [SV101: $i,SV25: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( SV117
= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1631]) ).
thf(1690,plain,
! [SV101: $i,SV25: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1632]) ).
thf(1691,plain,
! [SV101: $i,SV25: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ SV25 )
= $true )
| ( ( doDivides0 @ SV117 @ SV101 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1633]) ).
thf(1692,plain,
! [SV152: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV152 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV152 ) )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1638]) ).
thf(1693,plain,
! [SV153: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV94 )
!= ( sdtasdt0 @ SV110 @ SV153 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV153 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1639]) ).
thf(1694,plain,
! [SV148: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1640]) ).
thf(1695,plain,
! [SV136: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1641]) ).
thf(1696,plain,
! [SV140: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1642]) ).
thf(1697,plain,
! [SV141: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1643]) ).
thf(1698,plain,
! [SV154: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV154 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV154 ) )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1644]) ).
thf(1699,plain,
! [SV155: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV95 )
!= ( sdtasdt0 @ SV111 @ SV155 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV155 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1645]) ).
thf(1700,plain,
! [SV149: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1646]) ).
thf(1701,plain,
! [SV137: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1647]) ).
thf(1702,plain,
! [SV142: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1648]) ).
thf(1703,plain,
! [SV143: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1649]) ).
thf(1704,plain,
! [SV156: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV156 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV156 ) )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1650]) ).
thf(1705,plain,
! [SV157: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV96 )
!= ( sdtasdt0 @ SV112 @ SV157 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV157 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1651]) ).
thf(1706,plain,
! [SV150: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1652]) ).
thf(1707,plain,
! [SV138: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1653]) ).
thf(1708,plain,
! [SV144: $i,SV96: $i,SV25: $i,SV112: $i] :
( ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1654]) ).
thf(1709,plain,
! [SV145: $i,SV96: $i,SV25: $i,SV112: $i] :
( ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1655]) ).
thf(1710,plain,
! [SV158: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV158 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV158 ) )
= $true )
| ( ( SV113
= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1656]) ).
thf(1711,plain,
! [SV159: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( ( sdtasdt0 @ SV25 @ SV97 )
!= ( sdtasdt0 @ SV113 @ SV159 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV159 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1657]) ).
thf(1712,plain,
! [SV151: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV151 ) )
= $false )
| ( ( aNaturalNumber0 @ SV151 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1658]) ).
thf(1713,plain,
! [SV146: $i,SV97: $i,SV25: $i,SV113: $i] :
( ( ( doDivides0 @ SV113 @ SV25 )
= $true )
| ( ( doDivides0 @ SV113 @ SV97 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV146 ) )
= $false )
| ( ( aNaturalNumber0 @ SV146 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1660]) ).
thf(1714,plain,
! [SV147: $i,SV97: $i,SV25: $i,SV113: $i] :
( ( ( doDivides0 @ SV113 @ SV25 )
= $true )
| ( ( doDivides0 @ SV113 @ SV97 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( ( sK28_W3 @ SV113 @ SV97 @ SV25 )
= SV113 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV147 ) )
= $false )
| ( ( aNaturalNumber0 @ SV147 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1661]) ).
thf(1715,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1662]) ).
thf(1716,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1663]) ).
thf(1717,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1664]) ).
thf(1718,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1665]) ).
thf(1719,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1666]) ).
thf(1720,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1667]) ).
thf(1721,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1668]) ).
thf(1722,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1669]) ).
thf(1723,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1670]) ).
thf(1724,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1671]) ).
thf(1725,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1672]) ).
thf(1726,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1673]) ).
thf(1727,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1676]) ).
thf(1728,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1677]) ).
thf(1729,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1678]) ).
thf(1730,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( ( sK22_W3 @ SV115 @ SV99 @ SV25 )
= SV115 )
= $false )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1679]) ).
thf(1731,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1680]) ).
thf(1732,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1681]) ).
thf(1733,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1682]) ).
thf(1734,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( SV100
= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1685]) ).
thf(1735,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1686]) ).
thf(1736,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( SV100
= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1687]) ).
thf(1737,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( ( sK19_W3 @ SV116 @ SV100 @ SV25 )
= SV116 )
= $false )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1688]) ).
thf(1738,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117
= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1689]) ).
thf(1739,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1690]) ).
thf(1740,plain,
! [SV152: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV152 ) )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1692]) ).
thf(1741,plain,
! [SV153: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV153 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1693]) ).
thf(1742,plain,
! [SV148: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1694]) ).
thf(1743,plain,
! [SV136: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1695]) ).
thf(1744,plain,
! [SV136: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1695]) ).
thf(1745,plain,
! [SV140: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1696]) ).
thf(1746,plain,
! [SV141: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1697]) ).
thf(1747,plain,
! [SV154: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV154 ) )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1698]) ).
thf(1748,plain,
! [SV155: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV155 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1699]) ).
thf(1749,plain,
! [SV149: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1700]) ).
thf(1750,plain,
! [SV137: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1701]) ).
thf(1751,plain,
! [SV137: $i,SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1701]) ).
thf(1752,plain,
! [SV142: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1702]) ).
thf(1753,plain,
! [SV143: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1703]) ).
thf(1754,plain,
! [SV156: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV156 ) )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1704]) ).
thf(1755,plain,
! [SV157: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV157 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1705]) ).
thf(1756,plain,
! [SV150: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1706]) ).
thf(1757,plain,
! [SV138: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1707]) ).
thf(1758,plain,
! [SV138: $i,SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1707]) ).
thf(1759,plain,
! [SV144: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1708]) ).
thf(1760,plain,
! [SV145: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1709]) ).
thf(1761,plain,
! [SV158: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV158 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV158 ) )
= $true )
| ( ( SV113
= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1710]) ).
thf(1762,plain,
! [SV159: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV159 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV159 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1711]) ).
thf(1763,plain,
! [SV151: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV151 ) )
= $false )
| ( ( aNaturalNumber0 @ SV151 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1712]) ).
thf(1764,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1765,plain,
! [SV114: $i,SV98: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1716]) ).
thf(1766,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1717]) ).
thf(1767,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1717]) ).
thf(1768,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1718]) ).
thf(1769,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1718]) ).
thf(1770,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1719]) ).
thf(1771,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1719]) ).
thf(1772,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1773,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1721]) ).
thf(1774,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(1775,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1723]) ).
thf(1776,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1724]) ).
thf(1777,plain,
! [SV115: $i,SV99: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ( doDivides0 @ SV115 @ SV99 ) )
= $true )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1725]) ).
thf(1778,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1726]) ).
thf(1779,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1726]) ).
thf(1780,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1731]) ).
thf(1781,plain,
! [SV116: $i,SV100: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV116 @ SV25 )
| ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1732]) ).
thf(1782,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1733]) ).
thf(1783,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1733]) ).
thf(1784,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117
= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1738]) ).
thf(1785,plain,
! [SV117: $i,SV101: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV117 @ SV25 )
| ( doDivides0 @ SV117 @ SV101 ) )
= $true )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1739]) ).
thf(1786,plain,
! [SV110: $i,SV94: $i,SV25: $i,SV152: $i] :
( ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1740]) ).
thf(1787,plain,
! [SV110: $i,SV94: $i,SV25: $i,SV153: $i] :
( ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1741]) ).
thf(1788,plain,
! [SV148: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1742]) ).
thf(1789,plain,
! [SV136: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1743]) ).
thf(1790,plain,
! [SV136: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1744]) ).
thf(1791,plain,
! [SV140: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1745]) ).
thf(1792,plain,
! [SV140: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1745]) ).
thf(1793,plain,
! [SV141: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1746]) ).
thf(1794,plain,
! [SV141: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1746]) ).
thf(1795,plain,
! [SV111: $i,SV95: $i,SV25: $i,SV154: $i] :
( ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( SV111
= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1747]) ).
thf(1796,plain,
! [SV111: $i,SV95: $i,SV25: $i,SV155: $i] :
( ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1748]) ).
thf(1797,plain,
! [SV149: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1749]) ).
thf(1798,plain,
! [SV137: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1750]) ).
thf(1799,plain,
! [SV137: $i,SV25: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ SV111 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV137 ) )
= $false )
| ( ( aNaturalNumber0 @ SV137 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1751]) ).
thf(1800,plain,
! [SV142: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1752]) ).
thf(1801,plain,
! [SV142: $i,SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1752]) ).
thf(1802,plain,
! [SV143: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1753]) ).
thf(1803,plain,
! [SV143: $i,SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1753]) ).
thf(1804,plain,
! [SV112: $i,SV96: $i,SV25: $i,SV156: $i] :
( ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( SV112
= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1754]) ).
thf(1805,plain,
! [SV112: $i,SV96: $i,SV25: $i,SV157: $i] :
( ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1755]) ).
thf(1806,plain,
! [SV150: $i,SV96: $i,SV25: $i,SV112: $i] :
( ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1756]) ).
thf(1807,plain,
! [SV138: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( SV96
= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1757]) ).
thf(1808,plain,
! [SV138: $i,SV25: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ SV112 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV138 ) )
= $false )
| ( ( aNaturalNumber0 @ SV138 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1758]) ).
thf(1809,plain,
! [SV144: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1759]) ).
thf(1810,plain,
! [SV144: $i,SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1759]) ).
thf(1811,plain,
! [SV145: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1812,plain,
! [SV145: $i,SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1813,plain,
! [SV113: $i,SV97: $i,SV25: $i,SV158: $i] :
( ( ( aNaturalNumber0 @ SV158 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV158 ) )
= $false )
| ( ( SV113
= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1761]) ).
thf(1814,plain,
! [SV113: $i,SV97: $i,SV25: $i,SV159: $i] :
( ( ( aNaturalNumber0 @ SV159 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV159 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1762]) ).
thf(1815,plain,
! [SV151: $i,SV97: $i,SV25: $i,SV113: $i] :
( ( ( doDivides0 @ SV113 @ SV25 )
= $true )
| ( ( doDivides0 @ SV113 @ SV97 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV151 ) )
= $false )
| ( ( aNaturalNumber0 @ SV151 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1763]) ).
thf(1816,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1764]) ).
thf(1817,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1765]) ).
thf(1818,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1766]) ).
thf(1819,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1767]) ).
thf(1820,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1768]) ).
thf(1821,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1769]) ).
thf(1822,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1770]) ).
thf(1823,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ SV114 )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1771]) ).
thf(1824,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1772]) ).
thf(1825,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1772]) ).
thf(1826,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1773]) ).
thf(1827,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1773]) ).
thf(1828,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1774]) ).
thf(1829,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1774]) ).
thf(1830,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1775]) ).
thf(1831,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1775]) ).
thf(1832,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1776]) ).
thf(1833,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1777]) ).
thf(1834,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1778]) ).
thf(1835,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1779]) ).
thf(1836,plain,
! [SV100: $i,SV25: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1780]) ).
thf(1837,plain,
! [SV100: $i,SV25: $i,SV116: $i] :
( ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( ~ ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1781]) ).
thf(1838,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( SV100
= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1782]) ).
thf(1839,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1783]) ).
thf(1840,plain,
! [SV101: $i,SV25: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ SV25 )
= $true )
| ( ( doDivides0 @ SV117 @ SV101 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( SV117
= ( sdtasdt0 @ ( sK16_W3 @ SV117 @ SV101 @ SV25 ) @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1784]) ).
thf(1841,plain,
! [SV101: $i,SV25: $i,SV117: $i] :
( ( ( doDivides0 @ SV117 @ SV25 )
= $true )
| ( ( doDivides0 @ SV117 @ SV101 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV101 ) @ SV117 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV117 = sz00 )
= $true )
| ( ( SV117 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_SY89 @ SV117 @ SV101 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV117 @ ( sdtasdt0 @ SV25 @ SV101 ) )
= $false )
| ( ( aNaturalNumber0 @ SV101 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1785]) ).
thf(1842,plain,
! [SV152: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1786]) ).
thf(1843,plain,
! [SV153: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1787]) ).
thf(1844,plain,
! [SV148: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1788]) ).
thf(1845,plain,
! [SV136: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1789]) ).
thf(1846,plain,
! [SV136: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1790]) ).
thf(1847,plain,
! [SV140: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1791]) ).
thf(1848,plain,
! [SV140: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1792]) ).
thf(1849,plain,
! [SV141: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1793]) ).
thf(1850,plain,
! [SV141: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1794]) ).
thf(1851,plain,
! [SV154: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1795]) ).
thf(1852,plain,
! [SV155: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1796]) ).
thf(1853,plain,
! [SV149: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1797]) ).
thf(1854,plain,
! [SV142: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1800]) ).
thf(1855,plain,
! [SV142: $i,SV25: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV142 ) )
= $false )
| ( ( aNaturalNumber0 @ SV142 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1801]) ).
thf(1856,plain,
! [SV143: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1802]) ).
thf(1857,plain,
! [SV143: $i,SV25: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV111 @ SV95 @ SV25 )
= SV111 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV143 ) )
= $false )
| ( ( aNaturalNumber0 @ SV143 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1803]) ).
thf(1858,plain,
! [SV156: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1804]) ).
thf(1859,plain,
! [SV157: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1805]) ).
thf(1860,plain,
! [SV150: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1806]) ).
thf(1861,plain,
! [SV144: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( SV96
= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1809]) ).
thf(1862,plain,
! [SV144: $i,SV25: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV144 ) )
= $false )
| ( ( aNaturalNumber0 @ SV144 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1810]) ).
thf(1863,plain,
! [SV145: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( SV96
= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1811]) ).
thf(1864,plain,
! [SV145: $i,SV25: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV112 @ SV96 @ SV25 )
= SV112 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV145 ) )
= $false )
| ( ( aNaturalNumber0 @ SV145 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1812]) ).
thf(1865,plain,
! [SV158: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113
= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV158 ) )
= $false )
| ( ( aNaturalNumber0 @ SV158 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1813]) ).
thf(1866,plain,
! [SV159: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV159 ) )
= $false )
| ( ( aNaturalNumber0 @ SV159 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1814]) ).
thf(1867,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1816]) ).
thf(1868,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1817]) ).
thf(1869,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1818]) ).
thf(1870,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1819]) ).
thf(1871,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1824]) ).
thf(1872,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1825]) ).
thf(1873,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1826]) ).
thf(1874,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= sz10 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1827]) ).
thf(1875,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1828]) ).
thf(1876,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1829]) ).
thf(1877,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1830]) ).
thf(1878,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( ( sK26_W3 @ SV114 @ SV98 @ SV25 )
= SV114 )
= $false )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1831]) ).
thf(1879,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1832]) ).
thf(1880,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1833]) ).
thf(1881,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1836]) ).
thf(1882,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1837]) ).
thf(1883,plain,
! [SV152: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1842]) ).
thf(1884,plain,
! [SV153: $i,SV110: $i,SV94: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1843]) ).
thf(1885,plain,
! [SV148: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1844]) ).
thf(1886,plain,
! [SV148: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1844]) ).
thf(1887,plain,
! [SV136: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1845]) ).
thf(1888,plain,
! [SV136: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1845]) ).
thf(1889,plain,
! [SV136: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1846]) ).
thf(1890,plain,
! [SV136: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1846]) ).
thf(1891,plain,
! [SV140: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1847]) ).
thf(1892,plain,
! [SV140: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1848]) ).
thf(1893,plain,
! [SV141: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1849]) ).
thf(1894,plain,
! [SV141: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1850]) ).
thf(1895,plain,
! [SV154: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1851]) ).
thf(1896,plain,
! [SV155: $i,SV111: $i,SV95: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ( doDivides0 @ SV111 @ SV95 ) )
= $true )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1852]) ).
thf(1897,plain,
! [SV149: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1853]) ).
thf(1898,plain,
! [SV149: $i,SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1853]) ).
thf(1899,plain,
! [SV156: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1858]) ).
thf(1900,plain,
! [SV157: $i,SV112: $i,SV96: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV112 @ SV25 )
| ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1859]) ).
thf(1901,plain,
! [SV150: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1860]) ).
thf(1902,plain,
! [SV150: $i,SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1860]) ).
thf(1903,plain,
! [SV158: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113
= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV158 ) )
= $false )
| ( ( aNaturalNumber0 @ SV158 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1865]) ).
thf(1904,plain,
! [SV159: $i,SV113: $i,SV97: $i,SV25: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ( doDivides0 @ SV113 @ SV25 )
| ( doDivides0 @ SV113 @ SV97 ) )
= $true )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV159 ) )
= $false )
| ( ( aNaturalNumber0 @ SV159 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1866]) ).
thf(1905,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1906,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1907,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1868]) ).
thf(1908,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1868]) ).
thf(1909,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1869]) ).
thf(1910,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1869]) ).
thf(1911,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1870]) ).
thf(1912,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1870]) ).
thf(1913,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1879]) ).
thf(1914,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1879]) ).
thf(1915,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1880]) ).
thf(1916,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1880]) ).
thf(1917,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1881]) ).
thf(1918,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1881]) ).
thf(1919,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( ( SV100
!= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1882]) ).
thf(1920,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1882]) ).
thf(1921,plain,
! [SV152: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1883]) ).
thf(1922,plain,
! [SV153: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1884]) ).
thf(1923,plain,
! [SV148: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1885]) ).
thf(1924,plain,
! [SV148: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1886]) ).
thf(1925,plain,
! [SV136: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1887]) ).
thf(1926,plain,
! [SV136: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1888]) ).
thf(1927,plain,
! [SV136: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1889]) ).
thf(1928,plain,
! [SV136: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ SV110 )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV136 ) )
= $false )
| ( ( aNaturalNumber0 @ SV136 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1890]) ).
thf(1929,plain,
! [SV140: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1891]) ).
thf(1930,plain,
! [SV140: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1891]) ).
thf(1931,plain,
! [SV140: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1892]) ).
thf(1932,plain,
! [SV140: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1892]) ).
thf(1933,plain,
! [SV141: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1893]) ).
thf(1934,plain,
! [SV141: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1893]) ).
thf(1935,plain,
! [SV141: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1894]) ).
thf(1936,plain,
! [SV141: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1894]) ).
thf(1937,plain,
! [SV154: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1895]) ).
thf(1938,plain,
! [SV155: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ~ ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1896]) ).
thf(1939,plain,
! [SV149: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1897]) ).
thf(1940,plain,
! [SV149: $i,SV25: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV149 ) )
= $false )
| ( ( aNaturalNumber0 @ SV149 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1898]) ).
thf(1941,plain,
! [SV156: $i,SV96: $i,SV25: $i,SV112: $i] :
( ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1899]) ).
thf(1942,plain,
! [SV157: $i,SV96: $i,SV25: $i,SV112: $i] :
( ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( ~ ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1900]) ).
thf(1943,plain,
! [SV150: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( SV96
= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1901]) ).
thf(1944,plain,
! [SV150: $i,SV25: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV150 ) )
= $false )
| ( ( aNaturalNumber0 @ SV150 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1902]) ).
thf(1945,plain,
! [SV158: $i,SV97: $i,SV25: $i,SV113: $i] :
( ( ( doDivides0 @ SV113 @ SV25 )
= $true )
| ( ( doDivides0 @ SV113 @ SV97 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( SV113
= ( sdtasdt0 @ ( sK28_W3 @ SV113 @ SV97 @ SV25 ) @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV158 ) )
= $false )
| ( ( aNaturalNumber0 @ SV158 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1903]) ).
thf(1946,plain,
! [SV159: $i,SV97: $i,SV25: $i,SV113: $i] :
( ( ( doDivides0 @ SV113 @ SV25 )
= $true )
| ( ( doDivides0 @ SV113 @ SV97 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV97 ) @ SV113 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV113 = sz00 )
= $true )
| ( ( SV113 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_SY93 @ SV113 @ SV97 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV97 )
= ( sdtasdt0 @ SV113 @ SV159 ) )
= $false )
| ( ( aNaturalNumber0 @ SV159 )
= $false )
| ( ( aNaturalNumber0 @ SV97 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1904]) ).
thf(1947,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1905]) ).
thf(1948,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1906]) ).
thf(1949,plain,
! [SV98: $i,SV114: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1907]) ).
thf(1950,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( ~ ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1908]) ).
thf(1951,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1909]) ).
thf(1952,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1910]) ).
thf(1953,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1911]) ).
thf(1954,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1912]) ).
thf(1955,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1913]) ).
thf(1956,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( SV115
= ( sdtasdt0 @ ( sK22_W3 @ SV115 @ SV99 @ SV25 ) @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1914]) ).
thf(1957,plain,
! [SV99: $i,SV115: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV115 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1915]) ).
thf(1958,plain,
! [SV25: $i,SV99: $i,SV115: $i] :
( ( ( aNaturalNumber0 @ ( sK21_W3 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ SV99 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV99 ) @ SV115 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV115 = sz00 )
= $true )
| ( ( SV115 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_SY91 @ SV115 @ SV99 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV115 @ ( sdtasdt0 @ SV25 @ SV99 ) )
= $false )
| ( ( aNaturalNumber0 @ SV99 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1916]) ).
thf(1959,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( SV100
= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1917]) ).
thf(1960,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( SV116
= ( sdtasdt0 @ ( sK19_W3 @ SV116 @ SV100 @ SV25 ) @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1918]) ).
thf(1961,plain,
! [SV25: $i,SV116: $i,SV100: $i] :
( ( ( SV100
= ( sdtasdt0 @ SV116 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1919]) ).
thf(1962,plain,
! [SV25: $i,SV100: $i,SV116: $i] :
( ( ( aNaturalNumber0 @ ( sK18_W3 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV100 ) @ SV116 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV116 = sz00 )
= $true )
| ( ( SV116 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_SY90 @ SV116 @ SV100 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV116 @ ( sdtasdt0 @ SV25 @ SV100 ) )
= $false )
| ( ( aNaturalNumber0 @ SV100 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1920]) ).
thf(1963,plain,
! [SV152: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1921]) ).
thf(1964,plain,
! [SV153: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1922]) ).
thf(1965,plain,
! [SV148: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1923]) ).
thf(1966,plain,
! [SV148: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1924]) ).
thf(1967,plain,
! [SV140: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1929]) ).
thf(1968,plain,
! [SV140: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1930]) ).
thf(1969,plain,
! [SV140: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1931]) ).
thf(1970,plain,
! [SV140: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= sz10 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV140 ) )
= $false )
| ( ( aNaturalNumber0 @ SV140 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1932]) ).
thf(1971,plain,
! [SV141: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1933]) ).
thf(1972,plain,
! [SV141: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1934]) ).
thf(1973,plain,
! [SV141: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1935]) ).
thf(1974,plain,
! [SV141: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV110 @ SV94 @ SV25 )
= SV110 )
= $false )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV141 ) )
= $false )
| ( ( aNaturalNumber0 @ SV141 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1936]) ).
thf(1975,plain,
! [SV154: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1937]) ).
thf(1976,plain,
! [SV155: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1938]) ).
thf(1977,plain,
! [SV156: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1941]) ).
thf(1978,plain,
! [SV157: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1942]) ).
thf(1979,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1947]) ).
thf(1980,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1948]) ).
thf(1981,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1949]) ).
thf(1982,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1950]) ).
thf(1983,plain,
! [SV152: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1963]) ).
thf(1984,plain,
! [SV152: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1963]) ).
thf(1985,plain,
! [SV153: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1964]) ).
thf(1986,plain,
! [SV153: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1964]) ).
thf(1987,plain,
! [SV148: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1965]) ).
thf(1988,plain,
! [SV148: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1965]) ).
thf(1989,plain,
! [SV148: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1966]) ).
thf(1990,plain,
! [SV148: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1966]) ).
thf(1991,plain,
! [SV154: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1975]) ).
thf(1992,plain,
! [SV154: $i,SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1975]) ).
thf(1993,plain,
! [SV155: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( ( SV25
!= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1976]) ).
thf(1994,plain,
! [SV155: $i,SV25: $i,SV95: $i,SV111: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1976]) ).
thf(1995,plain,
! [SV156: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1977]) ).
thf(1996,plain,
! [SV156: $i,SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1977]) ).
thf(1997,plain,
! [SV157: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( ( SV96
!= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1978]) ).
thf(1998,plain,
! [SV157: $i,SV25: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $false )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1978]) ).
thf(1999,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1979]) ).
thf(2000,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1979]) ).
thf(2001,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1980]) ).
thf(2002,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1980]) ).
thf(2003,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1981]) ).
thf(2004,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1981]) ).
thf(2005,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( ( SV98
!= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1982]) ).
thf(2006,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1982]) ).
thf(2007,plain,
! [SV152: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1983]) ).
thf(2008,plain,
! [SV152: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1984]) ).
thf(2009,plain,
! [SV153: $i,SV94: $i,SV110: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1985]) ).
thf(2010,plain,
! [SV153: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ~ ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1986]) ).
thf(2011,plain,
! [SV148: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1987]) ).
thf(2012,plain,
! [SV148: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1988]) ).
thf(2013,plain,
! [SV148: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1989]) ).
thf(2014,plain,
! [SV148: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV148 ) )
= $false )
| ( ( aNaturalNumber0 @ SV148 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1990]) ).
thf(2015,plain,
! [SV154: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1991]) ).
thf(2016,plain,
! [SV154: $i,SV25: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( SV111
= ( sdtasdt0 @ ( sK34_W3 @ SV111 @ SV95 @ SV25 ) @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV154 ) )
= $false )
| ( ( aNaturalNumber0 @ SV154 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1992]) ).
thf(2017,plain,
! [SV155: $i,SV95: $i,SV111: $i,SV25: $i] :
( ( ( SV25
= ( sdtasdt0 @ SV111 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1993]) ).
thf(2018,plain,
! [SV155: $i,SV25: $i,SV95: $i,SV111: $i] :
( ( ( aNaturalNumber0 @ ( sK33_W3 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV111 @ SV95 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV95 ) @ SV111 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV111 = sz00 )
= $true )
| ( ( SV111 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV111 @ SV95 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV95 )
= ( sdtasdt0 @ SV111 @ SV155 ) )
= $false )
| ( ( aNaturalNumber0 @ SV155 )
= $false )
| ( ( aNaturalNumber0 @ SV95 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1994]) ).
thf(2019,plain,
! [SV156: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( SV96
= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1995]) ).
thf(2020,plain,
! [SV156: $i,SV25: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( SV112
= ( sdtasdt0 @ ( sK31_W3 @ SV112 @ SV96 @ SV25 ) @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV156 ) )
= $false )
| ( ( aNaturalNumber0 @ SV156 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1996]) ).
thf(2021,plain,
! [SV157: $i,SV25: $i,SV112: $i,SV96: $i] :
( ( ( SV96
= ( sdtasdt0 @ SV112 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1997]) ).
thf(2022,plain,
! [SV157: $i,SV25: $i,SV96: $i,SV112: $i] :
( ( ( aNaturalNumber0 @ ( sK30_W3 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV112 @ SV25 )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV96 ) @ SV112 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV112 = sz00 )
= $true )
| ( ( SV112 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV112 @ SV96 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV96 )
= ( sdtasdt0 @ SV112 @ SV157 ) )
= $false )
| ( ( aNaturalNumber0 @ SV157 )
= $false )
| ( ( aNaturalNumber0 @ SV96 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV112 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1998]) ).
thf(2023,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1999]) ).
thf(2024,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2000]) ).
thf(2025,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2001]) ).
thf(2026,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( SV114
= ( sdtasdt0 @ ( sK26_W3 @ SV114 @ SV98 @ SV25 ) @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2002]) ).
thf(2027,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2003]) ).
thf(2028,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV114 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2004]) ).
thf(2029,plain,
! [SV25: $i,SV114: $i,SV98: $i] :
( ( ( SV98
= ( sdtasdt0 @ SV114 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2005]) ).
thf(2030,plain,
! [SV25: $i,SV98: $i,SV114: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK25_W3 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV98 ) @ SV114 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV114 = sz00 )
= $true )
| ( ( SV114 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV114 @ SV98 @ SV25 ) )
= $true )
| ( ( doDivides0 @ SV114 @ ( sdtasdt0 @ SV25 @ SV98 ) )
= $false )
| ( ( aNaturalNumber0 @ SV98 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV114 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2006]) ).
thf(2031,plain,
! [SV152: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2007]) ).
thf(2032,plain,
! [SV152: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2008]) ).
thf(2033,plain,
! [SV153: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2009]) ).
thf(2034,plain,
! [SV153: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2010]) ).
thf(2035,plain,
! [SV152: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2031]) ).
thf(2036,plain,
! [SV152: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2031]) ).
thf(2037,plain,
! [SV152: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2032]) ).
thf(2038,plain,
! [SV152: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2032]) ).
thf(2039,plain,
! [SV153: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2033]) ).
thf(2040,plain,
! [SV153: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2033]) ).
thf(2041,plain,
! [SV153: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( ( SV94
!= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2034]) ).
thf(2042,plain,
! [SV153: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2034]) ).
thf(2043,plain,
! [SV152: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2035]) ).
thf(2044,plain,
! [SV152: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2036]) ).
thf(2045,plain,
! [SV152: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2037]) ).
thf(2046,plain,
! [SV152: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( SV110
= ( sdtasdt0 @ ( sK38_W3 @ SV110 @ SV94 @ SV25 ) @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV152 ) )
= $false )
| ( ( aNaturalNumber0 @ SV152 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2038]) ).
thf(2047,plain,
! [SV153: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2039]) ).
thf(2048,plain,
! [SV153: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( SV25
= ( sdtasdt0 @ SV110 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2040]) ).
thf(2049,plain,
! [SV153: $i,SV25: $i,SV110: $i,SV94: $i] :
( ( ( SV94
= ( sdtasdt0 @ SV110 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2041]) ).
thf(2050,plain,
! [SV153: $i,SV25: $i,SV94: $i,SV110: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK37_W3 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV25 @ SV94 ) @ SV110 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV110 = sz00 )
= $true )
| ( ( SV110 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV110 @ SV94 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ SV25 @ SV94 )
= ( sdtasdt0 @ SV110 @ SV153 ) )
= $false )
| ( ( aNaturalNumber0 @ SV153 )
= $false )
| ( ( aNaturalNumber0 @ SV94 )
= $false )
| ( ( aNaturalNumber0 @ SV25 )
= $false )
| ( ( aNaturalNumber0 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2042]) ).
thf(2051,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[152,2050,2049,2048,2047,2046,2045,2044,2043,2030,2029,2028,2027,2026,2025,2024,2023,2022,2021,2020,2019,2018,2017,2016,2015,2014,2013,2012,2011,1974,1973,1972,1971,1970,1969,1968,1967,1962,1961,1960,1959,1958,1957,1956,1955,1954,1953,1952,1951,1946,1945,1944,1943,1940,1939,1928,1927,1926,1925,1878,1877,1876,1875,1874,1873,1872,1871,1864,1863,1862,1861,1857,1856,1855,1854,1841,1840,1839,1838,1835,1834,1823,1822,1821,1820,1815,1808,1807,1799,1798,1737,1736,1735,1734,1730,1729,1728,1727,1714,1713,1691,1684,1683,1675,1674,1659,1637,1636,1635,1634,1581,1580,1530,1484,1483,1482,1481,1480,1479,1478,1477,1339,1338,1337,1336,1333,1216,1112,1094,1077,1075,1057,1055,1051,1050,1027,1006,999,998,973,971,940,921,920,917,893,886,885,880,878,851,850,809,806,805,804,803,802,772,771,766,747,746,745,744,743,722,709,694,686,685,684,672,671,670,669,668,667,666,661,643,639,636,635,634,616,612,578,572,546,534,533,528,527,520,519,512,511,508,507,493,487,485,484,483,424,417,412,411,408,397,396,373,369,364,360,349,341,330,318,209,184]) ).
thf(2052,plain,
( ( ( aNaturalNumber0 @ xn )
& ( aNaturalNumber0 @ xm )
& ( aNaturalNumber0 @ xp ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(2053,plain,
( ( ! [W0: $i] :
( ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK38_W3 @ W2 @ W1 @ W0 ) @ ( sK39_SY96 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK39_SY96 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK38_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK38_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK38_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK38_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 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK37_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK36_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK36_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK34_W3 @ W2 @ W1 @ W0 ) @ ( sK35_SY95 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK35_SY95 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK34_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK34_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK34_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK34_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 @ ( sK33_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK33_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK31_W3 @ W2 @ W1 @ W0 ) @ ( sK32_SY94 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK32_SY94 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK31_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK31_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK31_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK31_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 @ ( sK30_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK30_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK28_W3 @ W2 @ W1 @ W0 ) @ ( sK29_SY93 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK29_SY93 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK28_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK28_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK28_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK28_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 @ ( sK26_W3 @ W2 @ W1 @ W0 ) @ ( sK27_SY92 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK27_SY92 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK26_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK26_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK26_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK26_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 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK25_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK24_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK24_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK22_W3 @ W2 @ W1 @ W0 ) @ ( sK23_SY91 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK23_SY91 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK22_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK22_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK22_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK22_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 @ ( sK21_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK21_W3 @ W2 @ W1 @ W0 ) ) )
| ( doDivides0 @ W2 @ W1 ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK19_W3 @ W2 @ W1 @ W0 ) @ ( sK20_SY90 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK20_SY90 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK19_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK19_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK19_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK19_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 @ ( sK18_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK18_W3 @ W2 @ W1 @ W0 ) ) ) )
& ! [W1: $i,W2: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( aNaturalNumber0 @ W2 )
| ( ( W2
= ( sdtasdt0 @ ( sK16_W3 @ W2 @ W1 @ W0 ) @ ( sK17_SY89 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK17_SY89 @ W2 @ W1 @ W0 ) )
& ( aNaturalNumber0 @ ( sK16_W3 @ W2 @ W1 @ W0 ) )
& ( doDivides0 @ ( sK16_W3 @ W2 @ W1 @ W0 ) @ W2 )
& ( ( sK16_W3 @ W2 @ W1 @ W0 )
!= sz10 )
& ( ( sK16_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 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK15_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK14_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK14_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 @ ( sK13_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK13_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 @ ( sK12_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK12_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 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK11_W3 @ W2 @ W1 @ W0 ) ) )
| ( ( W1
= ( sdtasdt0 @ W2 @ ( sK10_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK10_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 @ ( sK9_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK9_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 @ ( sK8_W3 @ W2 @ W1 @ W0 ) ) )
& ( aNaturalNumber0 @ ( sK8_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)],[139]) ).
thf(2054,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 @ sK7_W0 ) )
& ( aNaturalNumber0 @ sK7_W0 )
& ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(2055,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xn )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xn ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(2056,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xp @ W0 )
!= xm )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xp @ xm ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(2057,plain,
( ( ( xm != xp )
& ( xn != xp )
& ( ( sdtpldt0 @ xn @ sK6_W0 )
= xp )
& ( aNaturalNumber0 @ sK6_W0 )
& ( sdtlseqdt0 @ xn @ xp )
& ( ( sdtpldt0 @ xm @ sK5_W0 )
= xp )
& ( aNaturalNumber0 @ sK5_W0 )
& ( sdtlseqdt0 @ xm @ xp ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(2058,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
& ( aNaturalNumber0 @ xk )
& ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(2059,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(2060,plain,
( ( ( xk != sz00 )
& ( xk != sz10 ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(2061,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 @ sK4_W0 ) )
& ( aNaturalNumber0 @ sK4_W0 )
& ( aNaturalNumber0 @ xr )
& ( doDivides0 @ xr @ xk )
& ( isPrime0 @ xr ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(2062,plain,
( ( ( ( sdtpldt0 @ xr @ sK3_W0 )
= xk )
& ( aNaturalNumber0 @ sK3_W0 )
& ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sK2_W0 ) )
& ( aNaturalNumber0 @ sK2_W0 )
& ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(2063,plain,
( ( ! [W0: $i] : $true )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(2064,plain,
( ( aNaturalNumber0 @ sz00 )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(2065,plain,
( ( ( sz10 != sz00 )
& ( aNaturalNumber0 @ sz10 ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(2066,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(2067,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(2068,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(2069,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)],[124]) ).
thf(2070,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtpldt0 @ W0 @ sz00 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtpldt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(2071,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(2072,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)],[121]) ).
thf(2073,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz10 )
= W0 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( W0
= ( sdtasdt0 @ sz10 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(2074,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( ( sdtasdt0 @ W0 @ sz00 )
= sz00 ) )
& ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(2075,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)],[118]) ).
thf(2076,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)],[117]) ).
thf(2077,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)],[116]) ).
thf(2078,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)],[115]) ).
thf(2079,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( ( sdtasdt0 @ W0 @ W1 )
!= sz00 )
| ( W0 = sz00 )
| ( W1 = sz00 ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(2080,plain,
( ( ! [W0: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ( sdtlseqdt0 @ W0 @ W0 ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(2081,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ~ ( sdtlseqdt0 @ W1 @ W0 )
| ( W0 = W1 ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(2082,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)],[111]) ).
thf(2083,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)],[110]) ).
thf(2084,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)],[109]) ).
thf(2085,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)],[108]) ).
thf(2086,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)],[107]) ).
thf(2087,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = sz00 )
| ( sdtlseqdt0 @ W1 @ ( sdtasdt0 @ W1 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(2088,plain,
( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 )
| $true )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(2089,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W0 = W1 )
| ~ ( sdtlseqdt0 @ W0 @ W1 )
| ( iLess0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(2090,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)],[103]) ).
thf(2091,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)],[102]) ).
thf(2092,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)],[101]) ).
thf(2093,plain,
( ( ! [W0: $i,W1: $i] :
( ~ ( aNaturalNumber0 @ W0 )
| ~ ( aNaturalNumber0 @ W1 )
| ( W1 = sz00 )
| ~ ( doDivides0 @ W0 @ W1 )
| ( sdtlseqdt0 @ W0 @ W1 ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(2094,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)],[99]) ).
thf(2095,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)],[98]) ).
thf(2096,plain,
( ( ! [W0: $i] :
( ( ( sdtpldt0 @ xk @ W0 )
!= xp )
| ~ ( aNaturalNumber0 @ W0 ) )
& ~ ( sdtlseqdt0 @ xk @ xp ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(2097,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)],[2083]) ).
thf(2098,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 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
| ~ ( isPrime0 @ xr ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2061]) ).
thf(2099,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)],[2077]) ).
thf(2100,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xk @ SX0 )
!= xp )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xk @ xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2096]) ).
thf(2101,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)],[2085]) ).
thf(2102,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)],[2078]) ).
thf(2103,plain,
( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2052]) ).
thf(2104,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)],[2084]) ).
thf(2105,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK38_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK39_SY96 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK38_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 @ ( sK37_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK36_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK34_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK35_SY95 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK34_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 @ ( sK33_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK31_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK32_SY94 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK31_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 @ ( sK30_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK28_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK29_SY93 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK28_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 @ ( sK26_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK27_SY92 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK24_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK22_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK23_SY91 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ( doDivides0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK19_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK20_SY90 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ~ ( aNaturalNumber0 @ SX2 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SX2
!= ( sdtasdt0 @ ( sK16_W3 @ SX2 @ SX1 @ SX0 ) @ ( sK17_SY89 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SX2 @ SX1 @ SX0 )
!= sz10 ) )
| ~ ( ( ( sK16_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 @ ( sK15_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK14_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_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 @ ( sK13_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_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 @ ( sK12_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_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 @ ( sK11_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ( SX1
!= ( sdtasdt0 @ SX2 @ ( sK10_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_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 @ ( sK9_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_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 @ ( sK8_W3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_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)],[2053]) ).
thf(2106,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)],[2086]) ).
thf(2107,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xn ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2055]) ).
thf(2108,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2074]) ).
thf(2109,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2073]) ).
thf(2110,plain,
( ( ~ ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2060]) ).
thf(2111,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)],[2076]) ).
thf(2112,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
| ~ ( sdtlseqdt0 @ xm @ xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2057]) ).
thf(2113,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2070]) ).
thf(2114,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 @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2054]) ).
thf(2115,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)],[2095]) ).
thf(2116,plain,
( ( ~ ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
| ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2058]) ).
thf(2117,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)],[2075]) ).
thf(2118,plain,
( ( ~ ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2059]) ).
thf(2119,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
| ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2062]) ).
thf(2120,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xm ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2056]) ).
thf(2121,plain,
( ( ~ ( ~ ( ( sz10 != sz00 ) )
| ~ ( aNaturalNumber0 @ sz10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2065]) ).
thf(2122,plain,
$true = $true,
inference(extcnf_forall_pos,[status(thm)],[2063]) ).
thf(2123,plain,
! [SV161: $i] :
( ( ! [SY244: $i] :
( ~ ( aNaturalNumber0 @ SV161 )
| ~ ( aNaturalNumber0 @ SY244 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ SV161 @ SY244 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2066]) ).
thf(2124,plain,
! [SV162: $i] :
( ( ! [SY245: $i] :
( ~ ( aNaturalNumber0 @ SV162 )
| ~ ( aNaturalNumber0 @ SY245 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ SV162 @ SY245 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2067]) ).
thf(2125,plain,
! [SV163: $i] :
( ( ! [SY246: $i] :
( ~ ( aNaturalNumber0 @ SV163 )
| ~ ( aNaturalNumber0 @ SY246 )
| ( ( sdtpldt0 @ SV163 @ SY246 )
= ( sdtpldt0 @ SY246 @ SV163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2068]) ).
thf(2126,plain,
! [SV164: $i] :
( ( ! [SY247: $i,SY248: $i] :
( ~ ( aNaturalNumber0 @ SV164 )
| ~ ( aNaturalNumber0 @ SY247 )
| ~ ( aNaturalNumber0 @ SY248 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV164 @ SY247 ) @ SY248 )
= ( sdtpldt0 @ SV164 @ ( sdtpldt0 @ SY247 @ SY248 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2069]) ).
thf(2127,plain,
! [SV165: $i] :
( ( ! [SY249: $i] :
( ~ ( aNaturalNumber0 @ SV165 )
| ~ ( aNaturalNumber0 @ SY249 )
| ( ( sdtasdt0 @ SV165 @ SY249 )
= ( sdtasdt0 @ SY249 @ SV165 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2071]) ).
thf(2128,plain,
! [SV166: $i] :
( ( ! [SY250: $i,SY251: $i] :
( ~ ( aNaturalNumber0 @ SV166 )
| ~ ( aNaturalNumber0 @ SY250 )
| ~ ( aNaturalNumber0 @ SY251 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV166 @ SY250 ) @ SY251 )
= ( sdtasdt0 @ SV166 @ ( sdtasdt0 @ SY250 @ SY251 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2072]) ).
thf(2129,plain,
! [SV167: $i] :
( ( ! [SY252: $i] :
( ~ ( aNaturalNumber0 @ SV167 )
| ~ ( aNaturalNumber0 @ SY252 )
| ( ( sdtasdt0 @ SV167 @ SY252 )
!= sz00 )
| ( SV167 = sz00 )
| ( SY252 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2079]) ).
thf(2130,plain,
! [SV168: $i] :
( ( ~ ( aNaturalNumber0 @ SV168 )
| ( sdtlseqdt0 @ SV168 @ SV168 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2080]) ).
thf(2131,plain,
! [SV169: $i] :
( ( ! [SY253: $i] :
( ~ ( aNaturalNumber0 @ SV169 )
| ~ ( aNaturalNumber0 @ SY253 )
| ~ ( sdtlseqdt0 @ SV169 @ SY253 )
| ~ ( sdtlseqdt0 @ SY253 @ SV169 )
| ( SV169 = SY253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2081]) ).
thf(2132,plain,
! [SV170: $i] :
( ( ! [SY254: $i,SY255: $i] :
( ~ ( aNaturalNumber0 @ SV170 )
| ~ ( aNaturalNumber0 @ SY254 )
| ~ ( aNaturalNumber0 @ SY255 )
| ~ ( sdtlseqdt0 @ SV170 @ SY254 )
| ~ ( sdtlseqdt0 @ SY254 @ SY255 )
| ( sdtlseqdt0 @ SV170 @ SY255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2082]) ).
thf(2133,plain,
! [SV171: $i] :
( ( ! [SY256: $i] :
( ~ ( aNaturalNumber0 @ SV171 )
| ~ ( aNaturalNumber0 @ SY256 )
| ( SV171 = sz00 )
| ( sdtlseqdt0 @ SY256 @ ( sdtasdt0 @ SY256 @ SV171 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2087]) ).
thf(2134,plain,
( ( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 )
| ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2088]) ).
thf(2135,plain,
! [SV172: $i] :
( ( ! [SY257: $i] :
( ~ ( aNaturalNumber0 @ SV172 )
| ~ ( aNaturalNumber0 @ SY257 )
| ( SV172 = SY257 )
| ~ ( sdtlseqdt0 @ SV172 @ SY257 )
| ( iLess0 @ SV172 @ SY257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2089]) ).
thf(2136,plain,
! [SV173: $i] :
( ( ! [SY258: $i,SY259: $i] :
( ~ ( aNaturalNumber0 @ SV173 )
| ~ ( aNaturalNumber0 @ SY258 )
| ~ ( aNaturalNumber0 @ SY259 )
| ~ ( doDivides0 @ SV173 @ SY258 )
| ~ ( doDivides0 @ SY258 @ SY259 )
| ( doDivides0 @ SV173 @ SY259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2090]) ).
thf(2137,plain,
! [SV174: $i] :
( ( ! [SY260: $i,SY261: $i] :
( ~ ( aNaturalNumber0 @ SV174 )
| ~ ( aNaturalNumber0 @ SY260 )
| ~ ( aNaturalNumber0 @ SY261 )
| ~ ( doDivides0 @ SV174 @ SY260 )
| ~ ( doDivides0 @ SV174 @ SY261 )
| ( doDivides0 @ SV174 @ ( sdtpldt0 @ SY260 @ SY261 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2091]) ).
thf(2138,plain,
! [SV175: $i] :
( ( ! [SY262: $i,SY263: $i] :
( ~ ( aNaturalNumber0 @ SV175 )
| ~ ( aNaturalNumber0 @ SY262 )
| ~ ( aNaturalNumber0 @ SY263 )
| ~ ( doDivides0 @ SV175 @ SY262 )
| ~ ( doDivides0 @ SV175 @ ( sdtpldt0 @ SY262 @ SY263 ) )
| ( doDivides0 @ SV175 @ SY263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2092]) ).
thf(2139,plain,
! [SV176: $i] :
( ( ! [SY264: $i] :
( ~ ( aNaturalNumber0 @ SV176 )
| ~ ( aNaturalNumber0 @ SY264 )
| ( SY264 = sz00 )
| ~ ( doDivides0 @ SV176 @ SY264 )
| ( sdtlseqdt0 @ SV176 @ SY264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2093]) ).
thf(2140,plain,
! [SV177: $i] :
( ( ! [SY265: $i] :
( ~ ( aNaturalNumber0 @ SV177 )
| ~ ( aNaturalNumber0 @ SY265 )
| ( SV177 = sz00 )
| ~ ( doDivides0 @ SV177 @ SY265 )
| ! [SY266: $i] :
( ~ ( aNaturalNumber0 @ SY266 )
| ( ( sdtasdt0 @ SY266 @ ( sdtsldt0 @ SY265 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY266 @ SY265 ) @ SV177 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2094]) ).
thf(2141,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)],[2097]) ).
thf(2142,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 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
| ~ ( isPrime0 @ xr ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2098]) ).
thf(2143,plain,
! [SV178: $i] :
( ( ~ ( aNaturalNumber0 @ SV178 )
| ( SV178 = sz00 )
| ~ ( ~ ! [SY267: $i,SY268: $i] :
( ~ ( aNaturalNumber0 @ SY267 )
| ~ ( aNaturalNumber0 @ SY268 )
| ( ( sdtasdt0 @ SV178 @ SY267 )
!= ( sdtasdt0 @ SV178 @ SY268 ) )
| ( SY267 = SY268 ) )
| ~ ! [SY269: $i,SY270: $i] :
( ~ ( aNaturalNumber0 @ SY269 )
| ~ ( aNaturalNumber0 @ SY270 )
| ( ( sdtasdt0 @ SY269 @ SV178 )
!= ( sdtasdt0 @ SY270 @ SV178 ) )
| ( SY269 = SY270 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2099]) ).
thf(2144,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xk @ SX0 )
!= xp )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xk @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2100]) ).
thf(2145,plain,
! [SV179: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV179 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SY271 @ SV179 )
!= ( sdtasdt0 @ SY272 @ SV179 ) ) )
| ~ ~ ( ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV179 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( ( sdtasdt0 @ SV179 @ SY273 )
!= ( sdtasdt0 @ SV179 @ SY274 ) ) )
| ~ ! [SY275: $i,SY276: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY275 )
| ~ ( aNaturalNumber0 @ SY276 )
| ( SV179 = sz00 )
| ( SY275 = SY276 )
| ~ ( sdtlseqdt0 @ SY275 @ SY276 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SY275 ) @ ( sdtasdt0 @ SV179 @ SY276 ) ) ) ) )
| ~ ! [SY277: $i,SY278: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY277 )
| ~ ( aNaturalNumber0 @ SY278 )
| ( SV179 = sz00 )
| ( SY277 = SY278 )
| ~ ( sdtlseqdt0 @ SY277 @ SY278 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY277 @ SV179 ) @ ( sdtasdt0 @ SY278 @ SV179 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2101]) ).
thf(2146,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)],[2102]) ).
thf(2147,plain,
( ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
| ~ ( aNaturalNumber0 @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2103]) ).
thf(2148,plain,
! [SV180: $i] :
( ( ! [SY279: $i] :
( ~ ( aNaturalNumber0 @ SV180 )
| ~ ( aNaturalNumber0 @ SY279 )
| ( SV180 = SY279 )
| ~ ( sdtlseqdt0 @ SV180 @ SY279 )
| ~ ( ~ ~ ( ~ ! [SY280: $i] :
( ~ ( aNaturalNumber0 @ SY280 )
| ( ( sdtpldt0 @ SV180 @ SY280 )
!= ( sdtpldt0 @ SY279 @ SY280 ) ) )
| ~ ~ ( ~ ! [SY281: $i] :
( ~ ( aNaturalNumber0 @ SY281 )
| ( ( sdtpldt0 @ SY281 @ SV180 )
!= ( sdtpldt0 @ SY281 @ SY279 ) ) )
| ~ ! [SY282: $i] :
( ~ ( aNaturalNumber0 @ SY282 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY282 @ SV180 ) @ ( sdtpldt0 @ SY282 @ SY279 ) ) ) ) )
| ~ ! [SY283: $i] :
( ~ ( aNaturalNumber0 @ SY283 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY283 ) @ ( sdtpldt0 @ SY279 @ SY283 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2104]) ).
thf(2149,plain,
! [SV181: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY284: $i,SY285: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY284 )
| ~ ( aNaturalNumber0 @ SY285 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY285
!= ( sdtasdt0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ SY285 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= SY285 ) ) ) )
| ( SY285 = sz00 )
| ( SY285 = sz10 )
| ! [SY286: $i] :
( ( ( sdtasdt0 @ SV181 @ SY284 )
!= ( sdtasdt0 @ SY285 @ SY286 ) )
| ~ ( aNaturalNumber0 @ SY286 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY284 ) @ SY285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY285 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( ( SY284
!= ( sdtasdt0 @ SY285 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) ) )
| ~ ! [SY287: $i,SY288: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( aNaturalNumber0 @ SY288 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY288
!= ( sdtasdt0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ SY288 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= SY288 ) ) ) )
| ( SY288 = sz00 )
| ( SY288 = sz10 )
| ! [SY289: $i] :
( ( ( sdtasdt0 @ SV181 @ SY287 )
!= ( sdtasdt0 @ SY288 @ SY289 ) )
| ~ ( aNaturalNumber0 @ SY289 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY287 ) @ SY288 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY288 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ( doDivides0 @ SY288 @ SY287 ) ) )
| ~ ~ ( ~ ! [SY290: $i,SY291: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( aNaturalNumber0 @ SY291 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY291
!= ( sdtasdt0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ SY291 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= SY291 ) ) ) )
| ( SY291 = sz00 )
| ( SY291 = sz10 )
| ! [SY292: $i] :
( ( ( sdtasdt0 @ SV181 @ SY290 )
!= ( sdtasdt0 @ SY291 @ SY292 ) )
| ~ ( aNaturalNumber0 @ SY292 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY290 ) @ SY291 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY291 @ SV181 )
| ~ ( ( SY290
!= ( sdtasdt0 @ SY291 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) ) )
| ~ ! [SY293: $i,SY294: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( aNaturalNumber0 @ SY294 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY294
!= ( sdtasdt0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ SY294 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= SY294 ) ) ) )
| ( SY294 = sz00 )
| ( SY294 = sz10 )
| ! [SY295: $i] :
( ( ( sdtasdt0 @ SV181 @ SY293 )
!= ( sdtasdt0 @ SY294 @ SY295 ) )
| ~ ( aNaturalNumber0 @ SY295 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY293 ) @ SY294 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY294 @ SV181 )
| ( doDivides0 @ SY294 @ SY293 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY296: $i,SY297: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( aNaturalNumber0 @ SY297 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY297
!= ( sdtasdt0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ SY297 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= SY297 ) ) ) )
| ( SY297 = sz00 )
| ( SY297 = sz10 )
| ~ ( doDivides0 @ SY297 @ ( sdtasdt0 @ SV181 @ SY296 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY296 ) @ SY297 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY297 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( ( SY296
!= ( sdtasdt0 @ SY297 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) ) )
| ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ( doDivides0 @ SY299 @ SY298 ) ) )
| ~ ~ ( ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 ) )
| ( doDivides0 @ SY301 @ SV181 )
| ~ ( ( SY300
!= ( sdtasdt0 @ SY301 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) ) )
| ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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 )
| ( doDivides0 @ SY303 @ SY302 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( isPrime0 @ SY305 )
| ! [SY306: $i] :
( ( ( sdtasdt0 @ SV181 @ SY304 )
!= ( sdtasdt0 @ SY305 @ SY306 ) )
| ~ ( aNaturalNumber0 @ SY306 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY305 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( ( SY304
!= ( sdtasdt0 @ SY305 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) ) )
| ~ ! [SY307: $i,SY308: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( aNaturalNumber0 @ SY308 )
| ~ ( isPrime0 @ SY308 )
| ! [SY309: $i] :
( ( ( sdtasdt0 @ SV181 @ SY307 )
!= ( sdtasdt0 @ SY308 @ SY309 ) )
| ~ ( aNaturalNumber0 @ SY309 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY307 ) @ SY308 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY308 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ( doDivides0 @ SY308 @ SY307 ) ) )
| ~ ~ ( ~ ! [SY310: $i,SY311: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( aNaturalNumber0 @ SY311 )
| ~ ( isPrime0 @ SY311 )
| ! [SY312: $i] :
( ( ( sdtasdt0 @ SV181 @ SY310 )
!= ( sdtasdt0 @ SY311 @ SY312 ) )
| ~ ( aNaturalNumber0 @ SY312 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY310 ) @ SY311 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY311 @ SV181 )
| ~ ( ( SY310
!= ( sdtasdt0 @ SY311 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) ) )
| ~ ! [SY313: $i,SY314: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( aNaturalNumber0 @ SY314 )
| ~ ( isPrime0 @ SY314 )
| ! [SY315: $i] :
( ( ( sdtasdt0 @ SV181 @ SY313 )
!= ( sdtasdt0 @ SY314 @ SY315 ) )
| ~ ( aNaturalNumber0 @ SY315 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY313 ) @ SY314 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY314 @ SV181 )
| ( doDivides0 @ SY314 @ SY313 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY316: $i,SY317: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( aNaturalNumber0 @ SY317 )
| ~ ( isPrime0 @ SY317 )
| ~ ( doDivides0 @ SY317 @ ( sdtasdt0 @ SV181 @ SY316 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY316 ) @ SY317 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY317 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( ( SY316
!= ( sdtasdt0 @ SY317 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) ) )
| ~ ! [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 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ( doDivides0 @ SY319 @ SY318 ) ) )
| ~ ~ ( ~ ! [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 ) )
| ( doDivides0 @ SY321 @ SV181 )
| ~ ( ( SY320
!= ( sdtasdt0 @ SY321 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) ) )
| ~ ! [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 )
| ( doDivides0 @ SY323 @ SY322 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2105]) ).
thf(2150,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)],[2106]) ).
thf(2151,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xn ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2107]) ).
thf(2152,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2108]) ).
thf(2153,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2109]) ).
thf(2154,plain,
( ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2110]) ).
thf(2155,plain,
! [SV182: $i] :
( ( ~ ( ~ ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ( ( sdtpldt0 @ SV182 @ SY324 )
!= ( sdtpldt0 @ SV182 @ SY325 ) )
| ( SY324 = SY325 ) )
| ~ ! [SY326: $i,SY327: $i] :
( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SY326 )
| ~ ( aNaturalNumber0 @ SY327 )
| ( ( sdtpldt0 @ SY326 @ SV182 )
!= ( sdtpldt0 @ SY327 @ SV182 ) )
| ( SY326 = SY327 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2111]) ).
thf(2156,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
| ~ ( sdtlseqdt0 @ xm @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2112]) ).
thf(2157,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2113]) ).
thf(2158,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 @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
| ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2114]) ).
thf(2159,plain,
! [SV183: $i] :
( ( ( SV183 = sz10 )
| ( SV183 = sz00 )
| ~ ( aNaturalNumber0 @ SV183 )
| ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV183 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV183 ) @ SV183 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV183 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2115]) ).
thf(2160,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
| ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2116]) ).
thf(2161,plain,
! [SV184: $i] :
( ( ~ ( ~ ! [SY328: $i,SY329: $i] :
( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SY328 )
| ~ ( aNaturalNumber0 @ SY329 )
| ( ( sdtasdt0 @ SV184 @ ( sdtpldt0 @ SY328 @ SY329 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV184 @ SY328 ) @ ( sdtasdt0 @ SV184 @ SY329 ) ) ) )
| ~ ! [SY330: $i,SY331: $i] :
( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SY330 )
| ~ ( aNaturalNumber0 @ SY331 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY330 @ SY331 ) @ SV184 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY330 @ SV184 ) @ ( sdtasdt0 @ SY331 @ SV184 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2117]) ).
thf(2162,plain,
( ( ~ ( ( xk != sz00 ) )
| ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2118]) ).
thf(2163,plain,
( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
| ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2119]) ).
thf(2164,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) )
| ~ ~ ( sdtlseqdt0 @ xp @ xm ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2120]) ).
thf(2165,plain,
( ( ~ ( ( sz10 != sz00 ) )
| ~ ( aNaturalNumber0 @ sz10 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2121]) ).
thf(2166,plain,
! [SV185: $i,SV161: $i] :
( ( ~ ( aNaturalNumber0 @ SV161 )
| ~ ( aNaturalNumber0 @ SV185 )
| ( aNaturalNumber0 @ ( sdtpldt0 @ SV161 @ SV185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2123]) ).
thf(2167,plain,
! [SV186: $i,SV162: $i] :
( ( ~ ( aNaturalNumber0 @ SV162 )
| ~ ( aNaturalNumber0 @ SV186 )
| ( aNaturalNumber0 @ ( sdtasdt0 @ SV162 @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2124]) ).
thf(2168,plain,
! [SV187: $i,SV163: $i] :
( ( ~ ( aNaturalNumber0 @ SV163 )
| ~ ( aNaturalNumber0 @ SV187 )
| ( ( sdtpldt0 @ SV163 @ SV187 )
= ( sdtpldt0 @ SV187 @ SV163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2125]) ).
thf(2169,plain,
! [SV188: $i,SV164: $i] :
( ( ! [SY332: $i] :
( ~ ( aNaturalNumber0 @ SV164 )
| ~ ( aNaturalNumber0 @ SV188 )
| ~ ( aNaturalNumber0 @ SY332 )
| ( ( sdtpldt0 @ ( sdtpldt0 @ SV164 @ SV188 ) @ SY332 )
= ( sdtpldt0 @ SV164 @ ( sdtpldt0 @ SV188 @ SY332 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2126]) ).
thf(2170,plain,
! [SV189: $i,SV165: $i] :
( ( ~ ( aNaturalNumber0 @ SV165 )
| ~ ( aNaturalNumber0 @ SV189 )
| ( ( sdtasdt0 @ SV165 @ SV189 )
= ( sdtasdt0 @ SV189 @ SV165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2127]) ).
thf(2171,plain,
! [SV190: $i,SV166: $i] :
( ( ! [SY333: $i] :
( ~ ( aNaturalNumber0 @ SV166 )
| ~ ( aNaturalNumber0 @ SV190 )
| ~ ( aNaturalNumber0 @ SY333 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV166 @ SV190 ) @ SY333 )
= ( sdtasdt0 @ SV166 @ ( sdtasdt0 @ SV190 @ SY333 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2128]) ).
thf(2172,plain,
! [SV191: $i,SV167: $i] :
( ( ~ ( aNaturalNumber0 @ SV167 )
| ~ ( aNaturalNumber0 @ SV191 )
| ( ( sdtasdt0 @ SV167 @ SV191 )
!= sz00 )
| ( SV167 = sz00 )
| ( SV191 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2129]) ).
thf(2173,plain,
! [SV168: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV168 ) )
= $true )
| ( ( sdtlseqdt0 @ SV168 @ SV168 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2130]) ).
thf(2174,plain,
! [SV192: $i,SV169: $i] :
( ( ~ ( aNaturalNumber0 @ SV169 )
| ~ ( aNaturalNumber0 @ SV192 )
| ~ ( sdtlseqdt0 @ SV169 @ SV192 )
| ~ ( sdtlseqdt0 @ SV192 @ SV169 )
| ( SV169 = SV192 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2131]) ).
thf(2175,plain,
! [SV193: $i,SV170: $i] :
( ( ! [SY334: $i] :
( ~ ( aNaturalNumber0 @ SV170 )
| ~ ( aNaturalNumber0 @ SV193 )
| ~ ( aNaturalNumber0 @ SY334 )
| ~ ( sdtlseqdt0 @ SV170 @ SV193 )
| ~ ( sdtlseqdt0 @ SV193 @ SY334 )
| ( sdtlseqdt0 @ SV170 @ SY334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2132]) ).
thf(2176,plain,
! [SV194: $i,SV171: $i] :
( ( ~ ( aNaturalNumber0 @ SV171 )
| ~ ( aNaturalNumber0 @ SV194 )
| ( SV171 = sz00 )
| ( sdtlseqdt0 @ SV194 @ ( sdtasdt0 @ SV194 @ SV171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2133]) ).
thf(2177,plain,
( ( ( ! [W0: $i] :
~ ( aNaturalNumber0 @ W0 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2134]) ).
thf(2178,plain,
! [SV195: $i,SV172: $i] :
( ( ~ ( aNaturalNumber0 @ SV172 )
| ~ ( aNaturalNumber0 @ SV195 )
| ( SV172 = SV195 )
| ~ ( sdtlseqdt0 @ SV172 @ SV195 )
| ( iLess0 @ SV172 @ SV195 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2135]) ).
thf(2179,plain,
! [SV196: $i,SV173: $i] :
( ( ! [SY335: $i] :
( ~ ( aNaturalNumber0 @ SV173 )
| ~ ( aNaturalNumber0 @ SV196 )
| ~ ( aNaturalNumber0 @ SY335 )
| ~ ( doDivides0 @ SV173 @ SV196 )
| ~ ( doDivides0 @ SV196 @ SY335 )
| ( doDivides0 @ SV173 @ SY335 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2136]) ).
thf(2180,plain,
! [SV197: $i,SV174: $i] :
( ( ! [SY336: $i] :
( ~ ( aNaturalNumber0 @ SV174 )
| ~ ( aNaturalNumber0 @ SV197 )
| ~ ( aNaturalNumber0 @ SY336 )
| ~ ( doDivides0 @ SV174 @ SV197 )
| ~ ( doDivides0 @ SV174 @ SY336 )
| ( doDivides0 @ SV174 @ ( sdtpldt0 @ SV197 @ SY336 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2137]) ).
thf(2181,plain,
! [SV198: $i,SV175: $i] :
( ( ! [SY337: $i] :
( ~ ( aNaturalNumber0 @ SV175 )
| ~ ( aNaturalNumber0 @ SV198 )
| ~ ( aNaturalNumber0 @ SY337 )
| ~ ( doDivides0 @ SV175 @ SV198 )
| ~ ( doDivides0 @ SV175 @ ( sdtpldt0 @ SV198 @ SY337 ) )
| ( doDivides0 @ SV175 @ SY337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2138]) ).
thf(2182,plain,
! [SV199: $i,SV176: $i] :
( ( ~ ( aNaturalNumber0 @ SV176 )
| ~ ( aNaturalNumber0 @ SV199 )
| ( SV199 = sz00 )
| ~ ( doDivides0 @ SV176 @ SV199 )
| ( sdtlseqdt0 @ SV176 @ SV199 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2139]) ).
thf(2183,plain,
! [SV200: $i,SV177: $i] :
( ( ~ ( aNaturalNumber0 @ SV177 )
| ~ ( aNaturalNumber0 @ SV200 )
| ( SV177 = sz00 )
| ~ ( doDivides0 @ SV177 @ SV200 )
| ! [SY338: $i] :
( ~ ( aNaturalNumber0 @ SY338 )
| ( ( sdtasdt0 @ SY338 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY338 @ SV200 ) @ SV177 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2140]) ).
thf(2184,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2141]) ).
thf(2185,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2141]) ).
thf(2186,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 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2142]) ).
thf(2187,plain,
( ( ~ ( isPrime0 @ xr ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2142]) ).
thf(2188,plain,
! [SV178: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV178 ) )
= $true )
| ( ( ( SV178 = sz00 )
| ~ ( ~ ! [SY267: $i,SY268: $i] :
( ~ ( aNaturalNumber0 @ SY267 )
| ~ ( aNaturalNumber0 @ SY268 )
| ( ( sdtasdt0 @ SV178 @ SY267 )
!= ( sdtasdt0 @ SV178 @ SY268 ) )
| ( SY267 = SY268 ) )
| ~ ! [SY269: $i,SY270: $i] :
( ~ ( aNaturalNumber0 @ SY269 )
| ~ ( aNaturalNumber0 @ SY270 )
| ( ( sdtasdt0 @ SY269 @ SV178 )
!= ( sdtasdt0 @ SY270 @ SV178 ) )
| ( SY269 = SY270 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2143]) ).
thf(2189,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xk @ SX0 )
!= xp )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2144]) ).
thf(2190,plain,
( ( ~ ~ ( sdtlseqdt0 @ xk @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2144]) ).
thf(2191,plain,
! [SV179: $i] :
( ( ~ ~ ( ~ ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV179 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SY271 @ SV179 )
!= ( sdtasdt0 @ SY272 @ SV179 ) ) )
| ~ ~ ( ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV179 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( ( sdtasdt0 @ SV179 @ SY273 )
!= ( sdtasdt0 @ SV179 @ SY274 ) ) )
| ~ ! [SY275: $i,SY276: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY275 )
| ~ ( aNaturalNumber0 @ SY276 )
| ( SV179 = sz00 )
| ( SY275 = SY276 )
| ~ ( sdtlseqdt0 @ SY275 @ SY276 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SY275 ) @ ( sdtasdt0 @ SV179 @ SY276 ) ) ) ) )
| ~ ! [SY277: $i,SY278: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY277 )
| ~ ( aNaturalNumber0 @ SY278 )
| ( SV179 = sz00 )
| ( SY277 = SY278 )
| ~ ( sdtlseqdt0 @ SY277 @ SY278 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY277 @ SV179 ) @ ( sdtasdt0 @ SY278 @ SV179 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2145]) ).
thf(2192,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2146]) ).
thf(2193,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2146]) ).
thf(2194,plain,
( ( ~ ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2147]) ).
thf(2195,plain,
( ( ~ ( aNaturalNumber0 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2147]) ).
thf(2196,plain,
! [SV201: $i,SV180: $i] :
( ( ~ ( aNaturalNumber0 @ SV180 )
| ~ ( aNaturalNumber0 @ SV201 )
| ( SV180 = SV201 )
| ~ ( sdtlseqdt0 @ SV180 @ SV201 )
| ~ ( ~ ~ ( ~ ! [SY339: $i] :
( ~ ( aNaturalNumber0 @ SY339 )
| ( ( sdtpldt0 @ SV180 @ SY339 )
!= ( sdtpldt0 @ SV201 @ SY339 ) ) )
| ~ ~ ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) )
| ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) ) )
| ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY342 ) @ ( sdtpldt0 @ SV201 @ SY342 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2148]) ).
thf(2197,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY284: $i,SY285: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY284 )
| ~ ( aNaturalNumber0 @ SY285 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY285
!= ( sdtasdt0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ SY285 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= SY285 ) ) ) )
| ( SY285 = sz00 )
| ( SY285 = sz10 )
| ! [SY286: $i] :
( ( ( sdtasdt0 @ SV181 @ SY284 )
!= ( sdtasdt0 @ SY285 @ SY286 ) )
| ~ ( aNaturalNumber0 @ SY286 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY284 ) @ SY285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY285 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( ( SY284
!= ( sdtasdt0 @ SY285 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) ) )
| ~ ! [SY287: $i,SY288: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( aNaturalNumber0 @ SY288 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY288
!= ( sdtasdt0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ SY288 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= SY288 ) ) ) )
| ( SY288 = sz00 )
| ( SY288 = sz10 )
| ! [SY289: $i] :
( ( ( sdtasdt0 @ SV181 @ SY287 )
!= ( sdtasdt0 @ SY288 @ SY289 ) )
| ~ ( aNaturalNumber0 @ SY289 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY287 ) @ SY288 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY288 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ( doDivides0 @ SY288 @ SY287 ) ) )
| ~ ~ ( ~ ! [SY290: $i,SY291: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( aNaturalNumber0 @ SY291 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY291
!= ( sdtasdt0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ SY291 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= SY291 ) ) ) )
| ( SY291 = sz00 )
| ( SY291 = sz10 )
| ! [SY292: $i] :
( ( ( sdtasdt0 @ SV181 @ SY290 )
!= ( sdtasdt0 @ SY291 @ SY292 ) )
| ~ ( aNaturalNumber0 @ SY292 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY290 ) @ SY291 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY291 @ SV181 )
| ~ ( ( SY290
!= ( sdtasdt0 @ SY291 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) ) )
| ~ ! [SY293: $i,SY294: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( aNaturalNumber0 @ SY294 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY294
!= ( sdtasdt0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ SY294 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= SY294 ) ) ) )
| ( SY294 = sz00 )
| ( SY294 = sz10 )
| ! [SY295: $i] :
( ( ( sdtasdt0 @ SV181 @ SY293 )
!= ( sdtasdt0 @ SY294 @ SY295 ) )
| ~ ( aNaturalNumber0 @ SY295 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY293 ) @ SY294 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY294 @ SV181 )
| ( doDivides0 @ SY294 @ SY293 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY296: $i,SY297: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( aNaturalNumber0 @ SY297 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY297
!= ( sdtasdt0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ SY297 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= SY297 ) ) ) )
| ( SY297 = sz00 )
| ( SY297 = sz10 )
| ~ ( doDivides0 @ SY297 @ ( sdtasdt0 @ SV181 @ SY296 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY296 ) @ SY297 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY297 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( ( SY296
!= ( sdtasdt0 @ SY297 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) ) )
| ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ( doDivides0 @ SY299 @ SY298 ) ) )
| ~ ~ ( ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 ) )
| ( doDivides0 @ SY301 @ SV181 )
| ~ ( ( SY300
!= ( sdtasdt0 @ SY301 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) ) )
| ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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 )
| ( doDivides0 @ SY303 @ SY302 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( isPrime0 @ SY305 )
| ! [SY306: $i] :
( ( ( sdtasdt0 @ SV181 @ SY304 )
!= ( sdtasdt0 @ SY305 @ SY306 ) )
| ~ ( aNaturalNumber0 @ SY306 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY305 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( ( SY304
!= ( sdtasdt0 @ SY305 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) ) )
| ~ ! [SY307: $i,SY308: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( aNaturalNumber0 @ SY308 )
| ~ ( isPrime0 @ SY308 )
| ! [SY309: $i] :
( ( ( sdtasdt0 @ SV181 @ SY307 )
!= ( sdtasdt0 @ SY308 @ SY309 ) )
| ~ ( aNaturalNumber0 @ SY309 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY307 ) @ SY308 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY308 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ( doDivides0 @ SY308 @ SY307 ) ) )
| ~ ~ ( ~ ! [SY310: $i,SY311: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( aNaturalNumber0 @ SY311 )
| ~ ( isPrime0 @ SY311 )
| ! [SY312: $i] :
( ( ( sdtasdt0 @ SV181 @ SY310 )
!= ( sdtasdt0 @ SY311 @ SY312 ) )
| ~ ( aNaturalNumber0 @ SY312 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY310 ) @ SY311 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY311 @ SV181 )
| ~ ( ( SY310
!= ( sdtasdt0 @ SY311 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) ) )
| ~ ! [SY313: $i,SY314: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( aNaturalNumber0 @ SY314 )
| ~ ( isPrime0 @ SY314 )
| ! [SY315: $i] :
( ( ( sdtasdt0 @ SV181 @ SY313 )
!= ( sdtasdt0 @ SY314 @ SY315 ) )
| ~ ( aNaturalNumber0 @ SY315 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY313 ) @ SY314 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY314 @ SV181 )
| ( doDivides0 @ SY314 @ SY313 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY316: $i,SY317: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( aNaturalNumber0 @ SY317 )
| ~ ( isPrime0 @ SY317 )
| ~ ( doDivides0 @ SY317 @ ( sdtasdt0 @ SV181 @ SY316 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY316 ) @ SY317 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY317 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( ( SY316
!= ( sdtasdt0 @ SY317 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) ) )
| ~ ! [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 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ( doDivides0 @ SY319 @ SY318 ) ) )
| ~ ~ ( ~ ! [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 ) )
| ( doDivides0 @ SY321 @ SV181 )
| ~ ( ( SY320
!= ( sdtasdt0 @ SY321 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) ) )
| ~ ! [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 )
| ( doDivides0 @ SY323 @ SY322 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2149]) ).
thf(2198,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2150]) ).
thf(2199,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2150]) ).
thf(2200,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2151]) ).
thf(2201,plain,
( ( ~ ~ ( sdtlseqdt0 @ xp @ xn ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2151]) ).
thf(2202,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2152]) ).
thf(2203,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2152]) ).
thf(2204,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2153]) ).
thf(2205,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2153]) ).
thf(2206,plain,
( ( ~ ( ( xk != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2154]) ).
thf(2207,plain,
( ( ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2154]) ).
thf(2208,plain,
! [SV182: $i] :
( ( ~ ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ( ( sdtpldt0 @ SV182 @ SY324 )
!= ( sdtpldt0 @ SV182 @ SY325 ) )
| ( SY324 = SY325 ) )
| ~ ! [SY326: $i,SY327: $i] :
( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SY326 )
| ~ ( aNaturalNumber0 @ SY327 )
| ( ( sdtpldt0 @ SY326 @ SV182 )
!= ( sdtpldt0 @ SY327 @ SV182 ) )
| ( SY326 = SY327 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2155]) ).
thf(2209,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2156]) ).
thf(2210,plain,
( ( ~ ( sdtlseqdt0 @ xm @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2156]) ).
thf(2211,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2157]) ).
thf(2212,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2157]) ).
thf(2213,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 @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2158]) ).
thf(2214,plain,
( ( ~ ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2158]) ).
thf(2215,plain,
! [SV183: $i] :
( ( ( ( SV183 = sz10 )
| ( SV183 = sz00 )
| ~ ( aNaturalNumber0 @ SV183 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV183 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV183 ) @ SV183 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2159]) ).
thf(2216,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2160]) ).
thf(2217,plain,
( ( ( xk
!= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2160]) ).
thf(2218,plain,
! [SV184: $i] :
( ( ~ ! [SY328: $i,SY329: $i] :
( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SY328 )
| ~ ( aNaturalNumber0 @ SY329 )
| ( ( sdtasdt0 @ SV184 @ ( sdtpldt0 @ SY328 @ SY329 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV184 @ SY328 ) @ ( sdtasdt0 @ SV184 @ SY329 ) ) ) )
| ~ ! [SY330: $i,SY331: $i] :
( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SY330 )
| ~ ( aNaturalNumber0 @ SY331 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY330 @ SY331 ) @ SV184 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY330 @ SV184 ) @ ( sdtasdt0 @ SY331 @ SV184 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2161]) ).
thf(2219,plain,
( ( ~ ( ( xk != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2162]) ).
thf(2220,plain,
( ( ~ ( ( xk != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2162]) ).
thf(2221,plain,
( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2163]) ).
thf(2222,plain,
( ( ~ ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2163]) ).
thf(2223,plain,
( ( ~ ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2164]) ).
thf(2224,plain,
( ( ~ ~ ( sdtlseqdt0 @ xp @ xm ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2164]) ).
thf(2225,plain,
( ( ~ ( ( sz10 != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2165]) ).
thf(2226,plain,
( ( ~ ( aNaturalNumber0 @ sz10 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2165]) ).
thf(2227,plain,
! [SV185: $i,SV161: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV161 )
| ~ ( aNaturalNumber0 @ SV185 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV161 @ SV185 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2166]) ).
thf(2228,plain,
! [SV186: $i,SV162: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV162 )
| ~ ( aNaturalNumber0 @ SV186 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV162 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2167]) ).
thf(2229,plain,
! [SV187: $i,SV163: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV163 )
| ~ ( aNaturalNumber0 @ SV187 ) )
= $true )
| ( ( ( sdtpldt0 @ SV163 @ SV187 )
= ( sdtpldt0 @ SV187 @ SV163 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2168]) ).
thf(2230,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)],[2169]) ).
thf(2231,plain,
! [SV189: $i,SV165: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV165 )
| ~ ( aNaturalNumber0 @ SV189 ) )
= $true )
| ( ( ( sdtasdt0 @ SV165 @ SV189 )
= ( sdtasdt0 @ SV189 @ SV165 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2170]) ).
thf(2232,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)],[2171]) ).
thf(2233,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)],[2172]) ).
thf(2234,plain,
! [SV168: $i] :
( ( ( aNaturalNumber0 @ SV168 )
= $false )
| ( ( sdtlseqdt0 @ SV168 @ SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2173]) ).
thf(2235,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)],[2174]) ).
thf(2236,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)],[2175]) ).
thf(2237,plain,
! [SV194: $i,SV171: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV171 )
| ~ ( aNaturalNumber0 @ SV194 ) )
= $true )
| ( ( ( SV171 = sz00 )
| ( sdtlseqdt0 @ SV194 @ ( sdtasdt0 @ SV194 @ SV171 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2176]) ).
thf(2238,plain,
! [SV205: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV205 ) )
= $true )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2177]) ).
thf(2239,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)],[2178]) ).
thf(2240,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)],[2179]) ).
thf(2241,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)],[2180]) ).
thf(2242,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)],[2181]) ).
thf(2243,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)],[2182]) ).
thf(2244,plain,
! [SV200: $i,SV177: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV177 )
| ~ ( aNaturalNumber0 @ SV200 ) )
= $true )
| ( ( ( SV177 = sz00 )
| ~ ( doDivides0 @ SV177 @ SV200 )
| ! [SY338: $i] :
( ~ ( aNaturalNumber0 @ SY338 )
| ( ( sdtasdt0 @ SY338 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY338 @ SV200 ) @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2183]) ).
thf(2245,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( SX1 != SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2184]) ).
thf(2246,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( sdtlseqdt0 @ SX1 @ SX0 )
| ( sdtlseqdt0 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2185]) ).
thf(2247,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 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2186]) ).
thf(2248,plain,
( ( isPrime0 @ xr )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2187]) ).
thf(2249,plain,
! [SV178: $i] :
( ( ( aNaturalNumber0 @ SV178 )
= $false )
| ( ( ( SV178 = sz00 )
| ~ ( ~ ! [SY267: $i,SY268: $i] :
( ~ ( aNaturalNumber0 @ SY267 )
| ~ ( aNaturalNumber0 @ SY268 )
| ( ( sdtasdt0 @ SV178 @ SY267 )
!= ( sdtasdt0 @ SV178 @ SY268 ) )
| ( SY267 = SY268 ) )
| ~ ! [SY269: $i,SY270: $i] :
( ~ ( aNaturalNumber0 @ SY269 )
| ~ ( aNaturalNumber0 @ SY270 )
| ( ( sdtasdt0 @ SY269 @ SV178 )
!= ( sdtasdt0 @ SY270 @ SV178 ) )
| ( SY269 = SY270 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2188]) ).
thf(2250,plain,
( ( ! [SX0: $i] :
( ( ( sdtpldt0 @ xk @ SX0 )
!= xp )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2189]) ).
thf(2251,plain,
( ( ~ ( sdtlseqdt0 @ xk @ xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2190]) ).
thf(2252,plain,
! [SV179: $i] :
( ( ~ ~ ( ~ ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV179 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SY271 @ SV179 )
!= ( sdtasdt0 @ SY272 @ SV179 ) ) )
| ~ ~ ( ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV179 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( ( sdtasdt0 @ SV179 @ SY273 )
!= ( sdtasdt0 @ SV179 @ SY274 ) ) )
| ~ ! [SY275: $i,SY276: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY275 )
| ~ ( aNaturalNumber0 @ SY276 )
| ( SV179 = sz00 )
| ( SY275 = SY276 )
| ~ ( sdtlseqdt0 @ SY275 @ SY276 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SY275 ) @ ( sdtasdt0 @ SV179 @ SY276 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2191]) ).
thf(2253,plain,
! [SV179: $i] :
( ( ~ ! [SY277: $i,SY278: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY277 )
| ~ ( aNaturalNumber0 @ SY278 )
| ( SV179 = sz00 )
| ( SY277 = SY278 )
| ~ ( sdtlseqdt0 @ SY277 @ SY278 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY277 @ SV179 ) @ ( sdtasdt0 @ SY278 @ SV179 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2191]) ).
thf(2254,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX0 = sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2192]) ).
thf(2255,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( aNaturalNumber0 @ SX1 )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= sz00 )
| ( SX1 = sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2193]) ).
thf(2256,plain,
( ( ~ ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2194]) ).
thf(2257,plain,
( ( aNaturalNumber0 @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2195]) ).
thf(2258,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV180 )
| ~ ( aNaturalNumber0 @ SV201 ) )
= $true )
| ( ( ( SV180 = SV201 )
| ~ ( sdtlseqdt0 @ SV180 @ SV201 )
| ~ ( ~ ~ ( ~ ! [SY339: $i] :
( ~ ( aNaturalNumber0 @ SY339 )
| ( ( sdtpldt0 @ SV180 @ SY339 )
!= ( sdtpldt0 @ SV201 @ SY339 ) ) )
| ~ ~ ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) )
| ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) ) )
| ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY342 ) @ ( sdtpldt0 @ SV201 @ SY342 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2196]) ).
thf(2259,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY284: $i,SY285: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY284 )
| ~ ( aNaturalNumber0 @ SY285 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY285
!= ( sdtasdt0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ SY285 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= SY285 ) ) ) )
| ( SY285 = sz00 )
| ( SY285 = sz10 )
| ! [SY286: $i] :
( ( ( sdtasdt0 @ SV181 @ SY284 )
!= ( sdtasdt0 @ SY285 @ SY286 ) )
| ~ ( aNaturalNumber0 @ SY286 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY284 ) @ SY285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY285 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( ( SY284
!= ( sdtasdt0 @ SY285 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) ) )
| ~ ! [SY287: $i,SY288: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( aNaturalNumber0 @ SY288 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY288
!= ( sdtasdt0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ SY288 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= SY288 ) ) ) )
| ( SY288 = sz00 )
| ( SY288 = sz10 )
| ! [SY289: $i] :
( ( ( sdtasdt0 @ SV181 @ SY287 )
!= ( sdtasdt0 @ SY288 @ SY289 ) )
| ~ ( aNaturalNumber0 @ SY289 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY287 ) @ SY288 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY288 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ( doDivides0 @ SY288 @ SY287 ) ) )
| ~ ~ ( ~ ! [SY290: $i,SY291: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( aNaturalNumber0 @ SY291 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY291
!= ( sdtasdt0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ SY291 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= SY291 ) ) ) )
| ( SY291 = sz00 )
| ( SY291 = sz10 )
| ! [SY292: $i] :
( ( ( sdtasdt0 @ SV181 @ SY290 )
!= ( sdtasdt0 @ SY291 @ SY292 ) )
| ~ ( aNaturalNumber0 @ SY292 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY290 ) @ SY291 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY291 @ SV181 )
| ~ ( ( SY290
!= ( sdtasdt0 @ SY291 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) ) )
| ~ ! [SY293: $i,SY294: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( aNaturalNumber0 @ SY294 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY294
!= ( sdtasdt0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ SY294 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= SY294 ) ) ) )
| ( SY294 = sz00 )
| ( SY294 = sz10 )
| ! [SY295: $i] :
( ( ( sdtasdt0 @ SV181 @ SY293 )
!= ( sdtasdt0 @ SY294 @ SY295 ) )
| ~ ( aNaturalNumber0 @ SY295 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY293 ) @ SY294 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY294 @ SV181 )
| ( doDivides0 @ SY294 @ SY293 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY296: $i,SY297: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( aNaturalNumber0 @ SY297 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY297
!= ( sdtasdt0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ SY297 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= SY297 ) ) ) )
| ( SY297 = sz00 )
| ( SY297 = sz10 )
| ~ ( doDivides0 @ SY297 @ ( sdtasdt0 @ SV181 @ SY296 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY296 ) @ SY297 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY297 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( ( SY296
!= ( sdtasdt0 @ SY297 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) ) )
| ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ( doDivides0 @ SY299 @ SY298 ) ) )
| ~ ~ ( ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 ) )
| ( doDivides0 @ SY301 @ SV181 )
| ~ ( ( SY300
!= ( sdtasdt0 @ SY301 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) ) )
| ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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 )
| ( doDivides0 @ SY303 @ SY302 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2197]) ).
thf(2260,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( isPrime0 @ SY305 )
| ! [SY306: $i] :
( ( ( sdtasdt0 @ SV181 @ SY304 )
!= ( sdtasdt0 @ SY305 @ SY306 ) )
| ~ ( aNaturalNumber0 @ SY306 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY305 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( ( SY304
!= ( sdtasdt0 @ SY305 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) ) )
| ~ ! [SY307: $i,SY308: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( aNaturalNumber0 @ SY308 )
| ~ ( isPrime0 @ SY308 )
| ! [SY309: $i] :
( ( ( sdtasdt0 @ SV181 @ SY307 )
!= ( sdtasdt0 @ SY308 @ SY309 ) )
| ~ ( aNaturalNumber0 @ SY309 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY307 ) @ SY308 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY308 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ( doDivides0 @ SY308 @ SY307 ) ) )
| ~ ~ ( ~ ! [SY310: $i,SY311: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( aNaturalNumber0 @ SY311 )
| ~ ( isPrime0 @ SY311 )
| ! [SY312: $i] :
( ( ( sdtasdt0 @ SV181 @ SY310 )
!= ( sdtasdt0 @ SY311 @ SY312 ) )
| ~ ( aNaturalNumber0 @ SY312 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY310 ) @ SY311 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY311 @ SV181 )
| ~ ( ( SY310
!= ( sdtasdt0 @ SY311 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) ) )
| ~ ! [SY313: $i,SY314: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( aNaturalNumber0 @ SY314 )
| ~ ( isPrime0 @ SY314 )
| ! [SY315: $i] :
( ( ( sdtasdt0 @ SV181 @ SY313 )
!= ( sdtasdt0 @ SY314 @ SY315 ) )
| ~ ( aNaturalNumber0 @ SY315 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY313 ) @ SY314 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY314 @ SV181 )
| ( doDivides0 @ SY314 @ SY313 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY316: $i,SY317: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( aNaturalNumber0 @ SY317 )
| ~ ( isPrime0 @ SY317 )
| ~ ( doDivides0 @ SY317 @ ( sdtasdt0 @ SV181 @ SY316 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY316 ) @ SY317 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY317 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( ( SY316
!= ( sdtasdt0 @ SY317 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) ) )
| ~ ! [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 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ( doDivides0 @ SY319 @ SY318 ) ) )
| ~ ~ ( ~ ! [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 ) )
| ( doDivides0 @ SY321 @ SV181 )
| ~ ( ( SY320
!= ( sdtasdt0 @ SY321 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) ) )
| ~ ! [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 )
| ( doDivides0 @ SY323 @ SY322 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2197]) ).
thf(2261,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz10 != SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2198]) ).
thf(2262,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sdtlseqdt0 @ sz10 @ SX0 )
| ( SX0 = sz00 )
| ( SX0 = sz10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2199]) ).
thf(2263,plain,
( ( ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xn )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2200]) ).
thf(2264,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xn ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2201]) ).
thf(2265,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz00 )
= sz00 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2202]) ).
thf(2266,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2203]) ).
thf(2267,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtasdt0 @ SX0 @ sz10 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2204]) ).
thf(2268,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtasdt0 @ sz10 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2205]) ).
thf(2269,plain,
( ( ( xk != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2206]) ).
thf(2270,plain,
( ( ( xk != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2207]) ).
thf(2271,plain,
! [SV182: $i] :
( ( ~ ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ( ( sdtpldt0 @ SV182 @ SY324 )
!= ( sdtpldt0 @ SV182 @ SY325 ) )
| ( SY324 = SY325 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2208]) ).
thf(2272,plain,
! [SV182: $i] :
( ( ~ ! [SY326: $i,SY327: $i] :
( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SY326 )
| ~ ( aNaturalNumber0 @ SY327 )
| ( ( sdtpldt0 @ SY326 @ SV182 )
!= ( sdtpldt0 @ SY327 @ SV182 ) )
| ( SY326 = SY327 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2208]) ).
thf(2273,plain,
( ( ~ ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2209]) ).
thf(2274,plain,
( ( sdtlseqdt0 @ xm @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2210]) ).
thf(2275,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( ( sdtpldt0 @ SX0 @ sz00 )
= SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2211]) ).
thf(2276,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ( SX0
= ( sdtpldt0 @ sz00 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2212]) ).
thf(2277,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 @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2213]) ).
thf(2278,plain,
( ( doDivides0 @ xp @ ( sdtasdt0 @ xn @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2214]) ).
thf(2279,plain,
! [SV183: $i] :
( ( ( SV183 = sz10 )
= $true )
| ( ( ( SV183 = sz00 )
| ~ ( aNaturalNumber0 @ SV183 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV183 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV183 ) @ SV183 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2215]) ).
thf(2280,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2216]) ).
thf(2281,plain,
( ( xk
= ( sdtsldt0 @ ( sdtasdt0 @ xn @ xm ) @ xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2217]) ).
thf(2282,plain,
! [SV184: $i] :
( ( ~ ! [SY328: $i,SY329: $i] :
( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SY328 )
| ~ ( aNaturalNumber0 @ SY329 )
| ( ( sdtasdt0 @ SV184 @ ( sdtpldt0 @ SY328 @ SY329 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV184 @ SY328 ) @ ( sdtasdt0 @ SV184 @ SY329 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2218]) ).
thf(2283,plain,
! [SV184: $i] :
( ( ~ ! [SY330: $i,SY331: $i] :
( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SY330 )
| ~ ( aNaturalNumber0 @ SY331 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY330 @ SY331 ) @ SV184 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY330 @ SV184 ) @ ( sdtasdt0 @ SY331 @ SV184 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2218]) ).
thf(2284,plain,
( ( ( xk != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2219]) ).
thf(2285,plain,
( ( ( xk != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2220]) ).
thf(2286,plain,
( ( ~ ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2221]) ).
thf(2287,plain,
( ( doDivides0 @ xr @ ( sdtasdt0 @ xn @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2222]) ).
thf(2288,plain,
( ( ! [SX0: $i] :
( ( ( sdtpldt0 @ xp @ SX0 )
!= xm )
| ~ ( aNaturalNumber0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2223]) ).
thf(2289,plain,
( ( ~ ( sdtlseqdt0 @ xp @ xm ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2224]) ).
thf(2290,plain,
( ( ( sz10 != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2225]) ).
thf(2291,plain,
( ( aNaturalNumber0 @ sz10 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2226]) ).
thf(2292,plain,
! [SV185: $i,SV161: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV161 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV185 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV161 @ SV185 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2227]) ).
thf(2293,plain,
! [SV186: $i,SV162: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV162 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV186 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV162 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2228]) ).
thf(2294,plain,
! [SV187: $i,SV163: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV163 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV187 ) )
= $true )
| ( ( ( sdtpldt0 @ SV163 @ SV187 )
= ( sdtpldt0 @ SV187 @ SV163 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2229]) ).
thf(2295,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)],[2230]) ).
thf(2296,plain,
! [SV189: $i,SV165: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV165 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV189 ) )
= $true )
| ( ( ( sdtasdt0 @ SV165 @ SV189 )
= ( sdtasdt0 @ SV189 @ SV165 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2231]) ).
thf(2297,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)],[2232]) ).
thf(2298,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)],[2233]) ).
thf(2299,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)],[2235]) ).
thf(2300,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)],[2236]) ).
thf(2301,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)],[2237]) ).
thf(2302,plain,
! [SV205: $i] :
( ( ( aNaturalNumber0 @ SV205 )
= $false )
| ( ( ! [W1: $i] :
~ ( aNaturalNumber0 @ W1 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2238]) ).
thf(2303,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)],[2239]) ).
thf(2304,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)],[2240]) ).
thf(2305,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)],[2241]) ).
thf(2306,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)],[2242]) ).
thf(2307,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)],[2243]) ).
thf(2308,plain,
! [SV200: $i,SV177: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV177 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV200 ) )
= $true )
| ( ( ( SV177 = sz00 )
| ~ ( doDivides0 @ SV177 @ SV200 )
| ! [SY338: $i] :
( ~ ( aNaturalNumber0 @ SY338 )
| ( ( sdtasdt0 @ SY338 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY338 @ SV200 ) @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2244]) ).
thf(2309,plain,
! [SV209: $i] :
( ( ! [SY343: $i] :
( ~ ( aNaturalNumber0 @ SV209 )
| ~ ( aNaturalNumber0 @ SY343 )
| ( SY343 != SV209 )
| ( sdtlseqdt0 @ SV209 @ SY343 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2245]) ).
thf(2310,plain,
! [SV210: $i] :
( ( ! [SY344: $i] :
( ~ ( aNaturalNumber0 @ SV210 )
| ~ ( aNaturalNumber0 @ SY344 )
| ( sdtlseqdt0 @ SY344 @ SV210 )
| ( sdtlseqdt0 @ SV210 @ SY344 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2246]) ).
thf(2311,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 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2247]) ).
thf(2312,plain,
! [SV178: $i] :
( ( ( SV178 = sz00 )
= $true )
| ( ( ~ ( ~ ! [SY267: $i,SY268: $i] :
( ~ ( aNaturalNumber0 @ SY267 )
| ~ ( aNaturalNumber0 @ SY268 )
| ( ( sdtasdt0 @ SV178 @ SY267 )
!= ( sdtasdt0 @ SV178 @ SY268 ) )
| ( SY267 = SY268 ) )
| ~ ! [SY269: $i,SY270: $i] :
( ~ ( aNaturalNumber0 @ SY269 )
| ~ ( aNaturalNumber0 @ SY270 )
| ( ( sdtasdt0 @ SY269 @ SV178 )
!= ( sdtasdt0 @ SY270 @ SV178 ) )
| ( SY269 = SY270 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2249]) ).
thf(2313,plain,
! [SV211: $i] :
( ( ( ( sdtpldt0 @ xk @ SV211 )
!= xp )
| ~ ( aNaturalNumber0 @ SV211 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2250]) ).
thf(2314,plain,
( ( sdtlseqdt0 @ xk @ xp )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2251]) ).
thf(2315,plain,
! [SV179: $i] :
( ( ~ ( ~ ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV179 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SY271 @ SV179 )
!= ( sdtasdt0 @ SY272 @ SV179 ) ) )
| ~ ~ ( ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV179 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( ( sdtasdt0 @ SV179 @ SY273 )
!= ( sdtasdt0 @ SV179 @ SY274 ) ) )
| ~ ! [SY275: $i,SY276: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY275 )
| ~ ( aNaturalNumber0 @ SY276 )
| ( SV179 = sz00 )
| ( SY275 = SY276 )
| ~ ( sdtlseqdt0 @ SY275 @ SY276 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SY275 ) @ ( sdtasdt0 @ SV179 @ SY276 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2252]) ).
thf(2316,plain,
! [SV179: $i] :
( ( ! [SY277: $i,SY278: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY277 )
| ~ ( aNaturalNumber0 @ SY278 )
| ( SV179 = sz00 )
| ( SY277 = SY278 )
| ~ ( sdtlseqdt0 @ SY277 @ SY278 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SY277 @ SV179 ) @ ( sdtasdt0 @ SY278 @ SV179 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2253]) ).
thf(2317,plain,
! [SV212: $i] :
( ( ! [SY345: $i] :
( ~ ( aNaturalNumber0 @ SV212 )
| ~ ( aNaturalNumber0 @ SY345 )
| ( ( sdtpldt0 @ SV212 @ SY345 )
!= sz00 )
| ( SV212 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2254]) ).
thf(2318,plain,
! [SV213: $i] :
( ( ! [SY346: $i] :
( ~ ( aNaturalNumber0 @ SV213 )
| ~ ( aNaturalNumber0 @ SY346 )
| ( ( sdtpldt0 @ SV213 @ SY346 )
!= sz00 )
| ( SY346 = sz00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2255]) ).
thf(2319,plain,
( ( ~ ( aNaturalNumber0 @ xn )
| ~ ( aNaturalNumber0 @ xm ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2256]) ).
thf(2320,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV180 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV201 ) )
= $true )
| ( ( ( SV180 = SV201 )
| ~ ( sdtlseqdt0 @ SV180 @ SV201 )
| ~ ( ~ ~ ( ~ ! [SY339: $i] :
( ~ ( aNaturalNumber0 @ SY339 )
| ( ( sdtpldt0 @ SV180 @ SY339 )
!= ( sdtpldt0 @ SV201 @ SY339 ) ) )
| ~ ~ ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) )
| ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) ) )
| ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY342 ) @ ( sdtpldt0 @ SV201 @ SY342 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2258]) ).
thf(2321,plain,
! [SV181: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY284: $i,SY285: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY284 )
| ~ ( aNaturalNumber0 @ SY285 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY285
!= ( sdtasdt0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ SY285 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= SY285 ) ) ) )
| ( SY285 = sz00 )
| ( SY285 = sz10 )
| ! [SY286: $i] :
( ( ( sdtasdt0 @ SV181 @ SY284 )
!= ( sdtasdt0 @ SY285 @ SY286 ) )
| ~ ( aNaturalNumber0 @ SY286 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY284 ) @ SY285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY285 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( ( SY284
!= ( sdtasdt0 @ SY285 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) ) )
| ~ ! [SY287: $i,SY288: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( aNaturalNumber0 @ SY288 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY288
!= ( sdtasdt0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ SY288 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= SY288 ) ) ) )
| ( SY288 = sz00 )
| ( SY288 = sz10 )
| ! [SY289: $i] :
( ( ( sdtasdt0 @ SV181 @ SY287 )
!= ( sdtasdt0 @ SY288 @ SY289 ) )
| ~ ( aNaturalNumber0 @ SY289 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY287 ) @ SY288 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY288 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ( doDivides0 @ SY288 @ SY287 ) ) )
| ~ ~ ( ~ ! [SY290: $i,SY291: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( aNaturalNumber0 @ SY291 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY291
!= ( sdtasdt0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ SY291 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= SY291 ) ) ) )
| ( SY291 = sz00 )
| ( SY291 = sz10 )
| ! [SY292: $i] :
( ( ( sdtasdt0 @ SV181 @ SY290 )
!= ( sdtasdt0 @ SY291 @ SY292 ) )
| ~ ( aNaturalNumber0 @ SY292 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY290 ) @ SY291 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY291 @ SV181 )
| ~ ( ( SY290
!= ( sdtasdt0 @ SY291 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) ) )
| ~ ! [SY293: $i,SY294: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( aNaturalNumber0 @ SY294 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY294
!= ( sdtasdt0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ SY294 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= SY294 ) ) ) )
| ( SY294 = sz00 )
| ( SY294 = sz10 )
| ! [SY295: $i] :
( ( ( sdtasdt0 @ SV181 @ SY293 )
!= ( sdtasdt0 @ SY294 @ SY295 ) )
| ~ ( aNaturalNumber0 @ SY295 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY293 ) @ SY294 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY294 @ SV181 )
| ( doDivides0 @ SY294 @ SY293 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY296: $i,SY297: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( aNaturalNumber0 @ SY297 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY297
!= ( sdtasdt0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ SY297 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= SY297 ) ) ) )
| ( SY297 = sz00 )
| ( SY297 = sz10 )
| ~ ( doDivides0 @ SY297 @ ( sdtasdt0 @ SV181 @ SY296 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY296 ) @ SY297 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY297 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( ( SY296
!= ( sdtasdt0 @ SY297 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) ) )
| ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ( doDivides0 @ SY299 @ SY298 ) ) )
| ~ ~ ( ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 ) )
| ( doDivides0 @ SY301 @ SV181 )
| ~ ( ( SY300
!= ( sdtasdt0 @ SY301 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) ) )
| ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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 )
| ( doDivides0 @ SY303 @ SY302 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2259]) ).
thf(2322,plain,
! [SV181: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( isPrime0 @ SY305 )
| ! [SY306: $i] :
( ( ( sdtasdt0 @ SV181 @ SY304 )
!= ( sdtasdt0 @ SY305 @ SY306 ) )
| ~ ( aNaturalNumber0 @ SY306 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY305 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( ( SY304
!= ( sdtasdt0 @ SY305 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) ) )
| ~ ! [SY307: $i,SY308: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( aNaturalNumber0 @ SY308 )
| ~ ( isPrime0 @ SY308 )
| ! [SY309: $i] :
( ( ( sdtasdt0 @ SV181 @ SY307 )
!= ( sdtasdt0 @ SY308 @ SY309 ) )
| ~ ( aNaturalNumber0 @ SY309 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY307 ) @ SY308 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY308 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ( doDivides0 @ SY308 @ SY307 ) ) )
| ~ ~ ( ~ ! [SY310: $i,SY311: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( aNaturalNumber0 @ SY311 )
| ~ ( isPrime0 @ SY311 )
| ! [SY312: $i] :
( ( ( sdtasdt0 @ SV181 @ SY310 )
!= ( sdtasdt0 @ SY311 @ SY312 ) )
| ~ ( aNaturalNumber0 @ SY312 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY310 ) @ SY311 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY311 @ SV181 )
| ~ ( ( SY310
!= ( sdtasdt0 @ SY311 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) ) )
| ~ ! [SY313: $i,SY314: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( aNaturalNumber0 @ SY314 )
| ~ ( isPrime0 @ SY314 )
| ! [SY315: $i] :
( ( ( sdtasdt0 @ SV181 @ SY313 )
!= ( sdtasdt0 @ SY314 @ SY315 ) )
| ~ ( aNaturalNumber0 @ SY315 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY313 ) @ SY314 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY314 @ SV181 )
| ( doDivides0 @ SY314 @ SY313 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY316: $i,SY317: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( aNaturalNumber0 @ SY317 )
| ~ ( isPrime0 @ SY317 )
| ~ ( doDivides0 @ SY317 @ ( sdtasdt0 @ SV181 @ SY316 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY316 ) @ SY317 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY317 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( ( SY316
!= ( sdtasdt0 @ SY317 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) ) )
| ~ ! [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 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ( doDivides0 @ SY319 @ SY318 ) ) )
| ~ ~ ( ~ ! [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 ) )
| ( doDivides0 @ SY321 @ SV181 )
| ~ ( ( SY320
!= ( sdtasdt0 @ SY321 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) ) )
| ~ ! [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 )
| ( doDivides0 @ SY323 @ SY322 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2260]) ).
thf(2323,plain,
! [SV214: $i] :
( ( ~ ( aNaturalNumber0 @ SV214 )
| ( sz10 != SV214 )
| ( SV214 = sz00 )
| ( SV214 = sz10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2261]) ).
thf(2324,plain,
! [SV215: $i] :
( ( ~ ( aNaturalNumber0 @ SV215 )
| ( sdtlseqdt0 @ sz10 @ SV215 )
| ( SV215 = sz00 )
| ( SV215 = sz10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2262]) ).
thf(2325,plain,
! [SV216: $i] :
( ( ( ( sdtpldt0 @ xp @ SV216 )
!= xn )
| ~ ( aNaturalNumber0 @ SV216 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2263]) ).
thf(2326,plain,
( ( sdtlseqdt0 @ xp @ xn )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2264]) ).
thf(2327,plain,
! [SV217: $i] :
( ( ~ ( aNaturalNumber0 @ SV217 )
| ( ( sdtasdt0 @ SV217 @ sz00 )
= sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2265]) ).
thf(2328,plain,
! [SV218: $i] :
( ( ~ ( aNaturalNumber0 @ SV218 )
| ( sz00
= ( sdtasdt0 @ sz00 @ SV218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2266]) ).
thf(2329,plain,
! [SV219: $i] :
( ( ~ ( aNaturalNumber0 @ SV219 )
| ( ( sdtasdt0 @ SV219 @ sz10 )
= SV219 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2267]) ).
thf(2330,plain,
! [SV220: $i] :
( ( ~ ( aNaturalNumber0 @ SV220 )
| ( SV220
= ( sdtasdt0 @ sz10 @ SV220 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2268]) ).
thf(2331,plain,
( ( xk = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2269]) ).
thf(2332,plain,
( ( xk = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2270]) ).
thf(2333,plain,
! [SV182: $i] :
( ( ! [SY324: $i,SY325: $i] :
( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SY324 )
| ~ ( aNaturalNumber0 @ SY325 )
| ( ( sdtpldt0 @ SV182 @ SY324 )
!= ( sdtpldt0 @ SV182 @ SY325 ) )
| ( SY324 = SY325 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2271]) ).
thf(2334,plain,
! [SV182: $i] :
( ( ! [SY326: $i,SY327: $i] :
( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SY326 )
| ~ ( aNaturalNumber0 @ SY327 )
| ( ( sdtpldt0 @ SY326 @ SV182 )
!= ( sdtpldt0 @ SY327 @ SV182 ) )
| ( SY326 = SY327 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2272]) ).
thf(2335,plain,
( ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
| ~ ~ ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2273]) ).
thf(2336,plain,
! [SV221: $i] :
( ( ~ ( aNaturalNumber0 @ SV221 )
| ( ( sdtpldt0 @ SV221 @ sz00 )
= SV221 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2275]) ).
thf(2337,plain,
! [SV222: $i] :
( ( ~ ( aNaturalNumber0 @ SV222 )
| ( SV222
= ( sdtpldt0 @ sz00 @ SV222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2276]) ).
thf(2338,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 @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2277]) ).
thf(2339,plain,
! [SV183: $i] :
( ( ( SV183 = sz00 )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV183 ) )
= $true )
| ( ( SV183 = sz10 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV183 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV183 ) @ SV183 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2279]) ).
thf(2340,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) )
| ~ ( aNaturalNumber0 @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2280]) ).
thf(2341,plain,
! [SV184: $i] :
( ( ! [SY328: $i,SY329: $i] :
( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SY328 )
| ~ ( aNaturalNumber0 @ SY329 )
| ( ( sdtasdt0 @ SV184 @ ( sdtpldt0 @ SY328 @ SY329 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV184 @ SY328 ) @ ( sdtasdt0 @ SV184 @ SY329 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2282]) ).
thf(2342,plain,
! [SV184: $i] :
( ( ! [SY330: $i,SY331: $i] :
( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SY330 )
| ~ ( aNaturalNumber0 @ SY331 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SY330 @ SY331 ) @ SV184 )
= ( sdtpldt0 @ ( sdtasdt0 @ SY330 @ SV184 ) @ ( sdtasdt0 @ SY331 @ SV184 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2283]) ).
thf(2343,plain,
( ( xk = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2284]) ).
thf(2344,plain,
( ( xk = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2285]) ).
thf(2345,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
| ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2286]) ).
thf(2346,plain,
! [SV223: $i] :
( ( ( ( sdtpldt0 @ xp @ SV223 )
!= xm )
| ~ ( aNaturalNumber0 @ SV223 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2288]) ).
thf(2347,plain,
( ( sdtlseqdt0 @ xp @ xm )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2289]) ).
thf(2348,plain,
( ( sz10 = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2290]) ).
thf(2349,plain,
! [SV185: $i,SV161: $i] :
( ( ( aNaturalNumber0 @ SV161 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV185 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV161 @ SV185 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2292]) ).
thf(2350,plain,
! [SV186: $i,SV162: $i] :
( ( ( aNaturalNumber0 @ SV162 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV186 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV162 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2293]) ).
thf(2351,plain,
! [SV187: $i,SV163: $i] :
( ( ( aNaturalNumber0 @ SV163 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV187 ) )
= $true )
| ( ( ( sdtpldt0 @ SV163 @ SV187 )
= ( sdtpldt0 @ SV187 @ SV163 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2294]) ).
thf(2352,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)],[2295]) ).
thf(2353,plain,
! [SV189: $i,SV165: $i] :
( ( ( aNaturalNumber0 @ SV165 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV189 ) )
= $true )
| ( ( ( sdtasdt0 @ SV165 @ SV189 )
= ( sdtasdt0 @ SV189 @ SV165 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2296]) ).
thf(2354,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)],[2297]) ).
thf(2355,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)],[2298]) ).
thf(2356,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)],[2299]) ).
thf(2357,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)],[2300]) ).
thf(2358,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)],[2301]) ).
thf(2359,plain,
! [SV205: $i,SV224: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV224 ) )
= $true )
| ( ( aNaturalNumber0 @ SV205 )
= $false )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2302]) ).
thf(2360,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)],[2303]) ).
thf(2361,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)],[2304]) ).
thf(2362,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)],[2305]) ).
thf(2363,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)],[2306]) ).
thf(2364,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)],[2307]) ).
thf(2365,plain,
! [SV200: $i,SV177: $i] :
( ( ( aNaturalNumber0 @ SV177 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV200 ) )
= $true )
| ( ( ( SV177 = sz00 )
| ~ ( doDivides0 @ SV177 @ SV200 )
| ! [SY338: $i] :
( ~ ( aNaturalNumber0 @ SY338 )
| ( ( sdtasdt0 @ SY338 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY338 @ SV200 ) @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2308]) ).
thf(2366,plain,
! [SV225: $i,SV209: $i] :
( ( ~ ( aNaturalNumber0 @ SV209 )
| ~ ( aNaturalNumber0 @ SV225 )
| ( SV225 != SV209 )
| ( sdtlseqdt0 @ SV209 @ SV225 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2309]) ).
thf(2367,plain,
! [SV226: $i,SV210: $i] :
( ( ~ ( aNaturalNumber0 @ SV210 )
| ~ ( aNaturalNumber0 @ SV226 )
| ( sdtlseqdt0 @ SV226 @ SV210 )
| ( sdtlseqdt0 @ SV210 @ SV226 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2310]) ).
thf(2368,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)],[2311]) ).
thf(2369,plain,
( ( ~ ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2311]) ).
thf(2370,plain,
! [SV178: $i] :
( ( ( ~ ! [SY267: $i,SY268: $i] :
( ~ ( aNaturalNumber0 @ SY267 )
| ~ ( aNaturalNumber0 @ SY268 )
| ( ( sdtasdt0 @ SV178 @ SY267 )
!= ( sdtasdt0 @ SV178 @ SY268 ) )
| ( SY267 = SY268 ) )
| ~ ! [SY269: $i,SY270: $i] :
( ~ ( aNaturalNumber0 @ SY269 )
| ~ ( aNaturalNumber0 @ SY270 )
| ( ( sdtasdt0 @ SY269 @ SV178 )
!= ( sdtasdt0 @ SY270 @ SV178 ) )
| ( SY269 = SY270 ) ) )
= $false )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2312]) ).
thf(2371,plain,
! [SV211: $i] :
( ( ( ( ( sdtpldt0 @ xk @ SV211 )
!= xp ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV211 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2313]) ).
thf(2372,plain,
! [SV179: $i] :
( ( ~ ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV179 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SY271 @ SV179 )
!= ( sdtasdt0 @ SY272 @ SV179 ) ) )
| ~ ~ ( ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV179 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( ( sdtasdt0 @ SV179 @ SY273 )
!= ( sdtasdt0 @ SV179 @ SY274 ) ) )
| ~ ! [SY275: $i,SY276: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY275 )
| ~ ( aNaturalNumber0 @ SY276 )
| ( SV179 = sz00 )
| ( SY275 = SY276 )
| ~ ( sdtlseqdt0 @ SY275 @ SY276 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SY275 ) @ ( sdtasdt0 @ SV179 @ SY276 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2315]) ).
thf(2373,plain,
! [SV227: $i,SV179: $i] :
( ( ! [SY347: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV227 )
| ~ ( aNaturalNumber0 @ SY347 )
| ( SV179 = sz00 )
| ( SV227 = SY347 )
| ~ ( sdtlseqdt0 @ SV227 @ SY347 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV227 @ SV179 ) @ ( sdtasdt0 @ SY347 @ SV179 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2316]) ).
thf(2374,plain,
! [SV228: $i,SV212: $i] :
( ( ~ ( aNaturalNumber0 @ SV212 )
| ~ ( aNaturalNumber0 @ SV228 )
| ( ( sdtpldt0 @ SV212 @ SV228 )
!= sz00 )
| ( SV212 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2317]) ).
thf(2375,plain,
! [SV229: $i,SV213: $i] :
( ( ~ ( aNaturalNumber0 @ SV213 )
| ~ ( aNaturalNumber0 @ SV229 )
| ( ( sdtpldt0 @ SV213 @ SV229 )
!= sz00 )
| ( SV229 = sz00 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2318]) ).
thf(2376,plain,
( ( ~ ( aNaturalNumber0 @ xn ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2319]) ).
thf(2377,plain,
( ( ~ ( aNaturalNumber0 @ xm ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2319]) ).
thf(2378,plain,
! [SV201: $i,SV180: $i] :
( ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV201 ) )
= $true )
| ( ( ( SV180 = SV201 )
| ~ ( sdtlseqdt0 @ SV180 @ SV201 )
| ~ ( ~ ~ ( ~ ! [SY339: $i] :
( ~ ( aNaturalNumber0 @ SY339 )
| ( ( sdtpldt0 @ SV180 @ SY339 )
!= ( sdtpldt0 @ SV201 @ SY339 ) ) )
| ~ ~ ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) )
| ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) ) )
| ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY342 ) @ ( sdtpldt0 @ SV201 @ SY342 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2320]) ).
thf(2379,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY284: $i,SY285: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY284 )
| ~ ( aNaturalNumber0 @ SY285 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY285
!= ( sdtasdt0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ SY285 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= SY285 ) ) ) )
| ( SY285 = sz00 )
| ( SY285 = sz10 )
| ! [SY286: $i] :
( ( ( sdtasdt0 @ SV181 @ SY284 )
!= ( sdtasdt0 @ SY285 @ SY286 ) )
| ~ ( aNaturalNumber0 @ SY286 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY284 ) @ SY285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY285 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( ( SY284
!= ( sdtasdt0 @ SY285 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) ) )
| ~ ! [SY287: $i,SY288: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( aNaturalNumber0 @ SY288 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY288
!= ( sdtasdt0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ SY288 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= SY288 ) ) ) )
| ( SY288 = sz00 )
| ( SY288 = sz10 )
| ! [SY289: $i] :
( ( ( sdtasdt0 @ SV181 @ SY287 )
!= ( sdtasdt0 @ SY288 @ SY289 ) )
| ~ ( aNaturalNumber0 @ SY289 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY287 ) @ SY288 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY288 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ( doDivides0 @ SY288 @ SY287 ) ) )
| ~ ~ ( ~ ! [SY290: $i,SY291: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( aNaturalNumber0 @ SY291 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY291
!= ( sdtasdt0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ SY291 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= SY291 ) ) ) )
| ( SY291 = sz00 )
| ( SY291 = sz10 )
| ! [SY292: $i] :
( ( ( sdtasdt0 @ SV181 @ SY290 )
!= ( sdtasdt0 @ SY291 @ SY292 ) )
| ~ ( aNaturalNumber0 @ SY292 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY290 ) @ SY291 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY291 @ SV181 )
| ~ ( ( SY290
!= ( sdtasdt0 @ SY291 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) ) )
| ~ ! [SY293: $i,SY294: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( aNaturalNumber0 @ SY294 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY294
!= ( sdtasdt0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ SY294 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= SY294 ) ) ) )
| ( SY294 = sz00 )
| ( SY294 = sz10 )
| ! [SY295: $i] :
( ( ( sdtasdt0 @ SV181 @ SY293 )
!= ( sdtasdt0 @ SY294 @ SY295 ) )
| ~ ( aNaturalNumber0 @ SY295 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY293 ) @ SY294 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY294 @ SV181 )
| ( doDivides0 @ SY294 @ SY293 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY296: $i,SY297: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( aNaturalNumber0 @ SY297 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY297
!= ( sdtasdt0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ SY297 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= SY297 ) ) ) )
| ( SY297 = sz00 )
| ( SY297 = sz10 )
| ~ ( doDivides0 @ SY297 @ ( sdtasdt0 @ SV181 @ SY296 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY296 ) @ SY297 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY297 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( ( SY296
!= ( sdtasdt0 @ SY297 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) ) )
| ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ( doDivides0 @ SY299 @ SY298 ) ) )
| ~ ~ ( ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 ) )
| ( doDivides0 @ SY301 @ SV181 )
| ~ ( ( SY300
!= ( sdtasdt0 @ SY301 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) ) )
| ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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 )
| ( doDivides0 @ SY303 @ SY302 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2321]) ).
thf(2380,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( isPrime0 @ SY305 )
| ! [SY306: $i] :
( ( ( sdtasdt0 @ SV181 @ SY304 )
!= ( sdtasdt0 @ SY305 @ SY306 ) )
| ~ ( aNaturalNumber0 @ SY306 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY305 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( ( SY304
!= ( sdtasdt0 @ SY305 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) ) )
| ~ ! [SY307: $i,SY308: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( aNaturalNumber0 @ SY308 )
| ~ ( isPrime0 @ SY308 )
| ! [SY309: $i] :
( ( ( sdtasdt0 @ SV181 @ SY307 )
!= ( sdtasdt0 @ SY308 @ SY309 ) )
| ~ ( aNaturalNumber0 @ SY309 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY307 ) @ SY308 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY308 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ( doDivides0 @ SY308 @ SY307 ) ) )
| ~ ~ ( ~ ! [SY310: $i,SY311: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( aNaturalNumber0 @ SY311 )
| ~ ( isPrime0 @ SY311 )
| ! [SY312: $i] :
( ( ( sdtasdt0 @ SV181 @ SY310 )
!= ( sdtasdt0 @ SY311 @ SY312 ) )
| ~ ( aNaturalNumber0 @ SY312 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY310 ) @ SY311 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY311 @ SV181 )
| ~ ( ( SY310
!= ( sdtasdt0 @ SY311 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) ) )
| ~ ! [SY313: $i,SY314: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( aNaturalNumber0 @ SY314 )
| ~ ( isPrime0 @ SY314 )
| ! [SY315: $i] :
( ( ( sdtasdt0 @ SV181 @ SY313 )
!= ( sdtasdt0 @ SY314 @ SY315 ) )
| ~ ( aNaturalNumber0 @ SY315 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY313 ) @ SY314 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY314 @ SV181 )
| ( doDivides0 @ SY314 @ SY313 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SY316: $i,SY317: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( aNaturalNumber0 @ SY317 )
| ~ ( isPrime0 @ SY317 )
| ~ ( doDivides0 @ SY317 @ ( sdtasdt0 @ SV181 @ SY316 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY316 ) @ SY317 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY317 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( ( SY316
!= ( sdtasdt0 @ SY317 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) ) )
| ~ ! [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 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ( doDivides0 @ SY319 @ SY318 ) ) )
| ~ ~ ( ~ ! [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 ) )
| ( doDivides0 @ SY321 @ SV181 )
| ~ ( ( SY320
!= ( sdtasdt0 @ SY321 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) ) )
| ~ ! [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 )
| ( doDivides0 @ SY323 @ SY322 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2322]) ).
thf(2381,plain,
! [SV214: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV214 ) )
= $true )
| ( ( ( sz10 != SV214 )
| ( SV214 = sz00 )
| ( SV214 = sz10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2323]) ).
thf(2382,plain,
! [SV215: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV215 ) )
= $true )
| ( ( ( sdtlseqdt0 @ sz10 @ SV215 )
| ( SV215 = sz00 )
| ( SV215 = sz10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2324]) ).
thf(2383,plain,
! [SV216: $i] :
( ( ( ( ( sdtpldt0 @ xp @ SV216 )
!= xn ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV216 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2325]) ).
thf(2384,plain,
! [SV217: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV217 ) )
= $true )
| ( ( ( sdtasdt0 @ SV217 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2327]) ).
thf(2385,plain,
! [SV218: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV218 ) )
= $true )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2328]) ).
thf(2386,plain,
! [SV219: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV219 ) )
= $true )
| ( ( ( sdtasdt0 @ SV219 @ sz10 )
= SV219 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2329]) ).
thf(2387,plain,
! [SV220: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV220 ) )
= $true )
| ( ( SV220
= ( sdtasdt0 @ sz10 @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2330]) ).
thf(2388,plain,
! [SV230: $i,SV182: $i] :
( ( ! [SY348: $i] :
( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SV230 )
| ~ ( aNaturalNumber0 @ SY348 )
| ( ( sdtpldt0 @ SV182 @ SV230 )
!= ( sdtpldt0 @ SV182 @ SY348 ) )
| ( SV230 = SY348 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2333]) ).
thf(2389,plain,
! [SV231: $i,SV182: $i] :
( ( ! [SY349: $i] :
( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SV231 )
| ~ ( aNaturalNumber0 @ SY349 )
| ( ( sdtpldt0 @ SV231 @ SV182 )
!= ( sdtpldt0 @ SY349 @ SV182 ) )
| ( SV231 = SY349 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2334]) ).
thf(2390,plain,
( ( ~ ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2335]) ).
thf(2391,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2335]) ).
thf(2392,plain,
! [SV221: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV221 ) )
= $true )
| ( ( ( sdtpldt0 @ SV221 @ sz00 )
= SV221 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2336]) ).
thf(2393,plain,
! [SV222: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV222 ) )
= $true )
| ( ( SV222
= ( sdtpldt0 @ sz00 @ SV222 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2337]) ).
thf(2394,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)],[2338]) ).
thf(2395,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2338]) ).
thf(2396,plain,
! [SV183: $i] :
( ( ( aNaturalNumber0 @ SV183 )
= $false )
| ( ( SV183 = sz00 )
= $true )
| ( ( SV183 = sz10 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV183 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV183 ) @ SV183 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2339]) ).
thf(2397,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2340]) ).
thf(2398,plain,
( ( ~ ( aNaturalNumber0 @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2340]) ).
thf(2399,plain,
! [SV232: $i,SV184: $i] :
( ( ! [SY350: $i] :
( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SV232 )
| ~ ( aNaturalNumber0 @ SY350 )
| ( ( sdtasdt0 @ SV184 @ ( sdtpldt0 @ SV232 @ SY350 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV184 @ SV232 ) @ ( sdtasdt0 @ SV184 @ SY350 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2341]) ).
thf(2400,plain,
! [SV233: $i,SV184: $i] :
( ( ! [SY351: $i] :
( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SV233 )
| ~ ( aNaturalNumber0 @ SY351 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SY351 ) @ SV184 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV184 ) @ ( sdtasdt0 @ SY351 @ SV184 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2342]) ).
thf(2401,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2345]) ).
thf(2402,plain,
( ( ~ ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2345]) ).
thf(2403,plain,
! [SV223: $i] :
( ( ( ( ( sdtpldt0 @ xp @ SV223 )
!= xm ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV223 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2346]) ).
thf(2404,plain,
! [SV161: $i,SV185: $i] :
( ( ( aNaturalNumber0 @ SV185 )
= $false )
| ( ( aNaturalNumber0 @ SV161 )
= $false )
| ( ( aNaturalNumber0 @ ( sdtpldt0 @ SV161 @ SV185 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2349]) ).
thf(2405,plain,
! [SV162: $i,SV186: $i] :
( ( ( aNaturalNumber0 @ SV186 )
= $false )
| ( ( aNaturalNumber0 @ SV162 )
= $false )
| ( ( aNaturalNumber0 @ ( sdtasdt0 @ SV162 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2350]) ).
thf(2406,plain,
! [SV163: $i,SV187: $i] :
( ( ( aNaturalNumber0 @ SV187 )
= $false )
| ( ( aNaturalNumber0 @ SV163 )
= $false )
| ( ( ( sdtpldt0 @ SV163 @ SV187 )
= ( sdtpldt0 @ SV187 @ SV163 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2351]) ).
thf(2407,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)],[2352]) ).
thf(2408,plain,
! [SV165: $i,SV189: $i] :
( ( ( aNaturalNumber0 @ SV189 )
= $false )
| ( ( aNaturalNumber0 @ SV165 )
= $false )
| ( ( ( sdtasdt0 @ SV165 @ SV189 )
= ( sdtasdt0 @ SV189 @ SV165 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2353]) ).
thf(2409,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)],[2354]) ).
thf(2410,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)],[2355]) ).
thf(2411,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)],[2356]) ).
thf(2412,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)],[2357]) ).
thf(2413,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)],[2358]) ).
thf(2414,plain,
! [SV205: $i,SV224: $i] :
( ( ( aNaturalNumber0 @ SV224 )
= $false )
| ( ( aNaturalNumber0 @ SV205 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2359]) ).
thf(2415,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)],[2360]) ).
thf(2416,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)],[2361]) ).
thf(2417,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)],[2362]) ).
thf(2418,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)],[2363]) ).
thf(2419,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)],[2364]) ).
thf(2420,plain,
! [SV177: $i,SV200: $i] :
( ( ( aNaturalNumber0 @ SV200 )
= $false )
| ( ( aNaturalNumber0 @ SV177 )
= $false )
| ( ( ( SV177 = sz00 )
| ~ ( doDivides0 @ SV177 @ SV200 )
| ! [SY338: $i] :
( ~ ( aNaturalNumber0 @ SY338 )
| ( ( sdtasdt0 @ SY338 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY338 @ SV200 ) @ SV177 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2365]) ).
thf(2421,plain,
! [SV225: $i,SV209: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV209 )
| ~ ( aNaturalNumber0 @ SV225 ) )
= $true )
| ( ( ( SV225 != SV209 )
| ( sdtlseqdt0 @ SV209 @ SV225 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2366]) ).
thf(2422,plain,
! [SV226: $i,SV210: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV210 )
| ~ ( aNaturalNumber0 @ SV226 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV226 @ SV210 )
| ( sdtlseqdt0 @ SV210 @ SV226 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2367]) ).
thf(2423,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)],[2368]) ).
thf(2424,plain,
( ( ~ ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2369]) ).
thf(2425,plain,
! [SV178: $i] :
( ( ( ~ ! [SY267: $i,SY268: $i] :
( ~ ( aNaturalNumber0 @ SY267 )
| ~ ( aNaturalNumber0 @ SY268 )
| ( ( sdtasdt0 @ SV178 @ SY267 )
!= ( sdtasdt0 @ SV178 @ SY268 ) )
| ( SY267 = SY268 ) ) )
= $false )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2370]) ).
thf(2426,plain,
! [SV178: $i] :
( ( ( ~ ! [SY269: $i,SY270: $i] :
( ~ ( aNaturalNumber0 @ SY269 )
| ~ ( aNaturalNumber0 @ SY270 )
| ( ( sdtasdt0 @ SY269 @ SV178 )
!= ( sdtasdt0 @ SY270 @ SV178 ) )
| ( SY269 = SY270 ) ) )
= $false )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2370]) ).
thf(2427,plain,
! [SV211: $i] :
( ( ( ( sdtpldt0 @ xk @ SV211 )
= xp )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV211 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2371]) ).
thf(2428,plain,
! [SV179: $i] :
( ( ~ ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV179 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SY271 @ SV179 )
!= ( sdtasdt0 @ SY272 @ SV179 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2372]) ).
thf(2429,plain,
! [SV179: $i] :
( ( ~ ~ ( ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV179 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( ( sdtasdt0 @ SV179 @ SY273 )
!= ( sdtasdt0 @ SV179 @ SY274 ) ) )
| ~ ! [SY275: $i,SY276: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY275 )
| ~ ( aNaturalNumber0 @ SY276 )
| ( SV179 = sz00 )
| ( SY275 = SY276 )
| ~ ( sdtlseqdt0 @ SY275 @ SY276 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SY275 ) @ ( sdtasdt0 @ SV179 @ SY276 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2372]) ).
thf(2430,plain,
! [SV234: $i,SV227: $i,SV179: $i] :
( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV227 )
| ~ ( aNaturalNumber0 @ SV234 )
| ( SV179 = sz00 )
| ( SV227 = SV234 )
| ~ ( sdtlseqdt0 @ SV227 @ SV234 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV227 @ SV179 ) @ ( sdtasdt0 @ SV234 @ SV179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2373]) ).
thf(2431,plain,
! [SV228: $i,SV212: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV212 )
| ~ ( aNaturalNumber0 @ SV228 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV212 @ SV228 )
!= sz00 )
| ( SV212 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2374]) ).
thf(2432,plain,
! [SV229: $i,SV213: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV213 )
| ~ ( aNaturalNumber0 @ SV229 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV213 @ SV229 )
!= sz00 )
| ( SV229 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2375]) ).
thf(2433,plain,
( ( aNaturalNumber0 @ xn )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2376]) ).
thf(2434,plain,
( ( aNaturalNumber0 @ xm )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2377]) ).
thf(2435,plain,
! [SV180: $i,SV201: $i] :
( ( ( aNaturalNumber0 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( ( SV180 = SV201 )
| ~ ( sdtlseqdt0 @ SV180 @ SV201 )
| ~ ( ~ ~ ( ~ ! [SY339: $i] :
( ~ ( aNaturalNumber0 @ SY339 )
| ( ( sdtpldt0 @ SV180 @ SY339 )
!= ( sdtpldt0 @ SV201 @ SY339 ) ) )
| ~ ~ ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) )
| ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) ) )
| ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY342 ) @ ( sdtpldt0 @ SV201 @ SY342 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2378]) ).
thf(2436,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY284: $i,SY285: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY284 )
| ~ ( aNaturalNumber0 @ SY285 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY285
!= ( sdtasdt0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ SY285 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= SY285 ) ) ) )
| ( SY285 = sz00 )
| ( SY285 = sz10 )
| ! [SY286: $i] :
( ( ( sdtasdt0 @ SV181 @ SY284 )
!= ( sdtasdt0 @ SY285 @ SY286 ) )
| ~ ( aNaturalNumber0 @ SY286 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY284 ) @ SY285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY285 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( ( SY284
!= ( sdtasdt0 @ SY285 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) ) )
| ~ ! [SY287: $i,SY288: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( aNaturalNumber0 @ SY288 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY288
!= ( sdtasdt0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ SY288 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= SY288 ) ) ) )
| ( SY288 = sz00 )
| ( SY288 = sz10 )
| ! [SY289: $i] :
( ( ( sdtasdt0 @ SV181 @ SY287 )
!= ( sdtasdt0 @ SY288 @ SY289 ) )
| ~ ( aNaturalNumber0 @ SY289 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY287 ) @ SY288 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY288 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ( doDivides0 @ SY288 @ SY287 ) ) )
| ~ ~ ( ~ ! [SY290: $i,SY291: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( aNaturalNumber0 @ SY291 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY291
!= ( sdtasdt0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ SY291 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= SY291 ) ) ) )
| ( SY291 = sz00 )
| ( SY291 = sz10 )
| ! [SY292: $i] :
( ( ( sdtasdt0 @ SV181 @ SY290 )
!= ( sdtasdt0 @ SY291 @ SY292 ) )
| ~ ( aNaturalNumber0 @ SY292 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY290 ) @ SY291 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY291 @ SV181 )
| ~ ( ( SY290
!= ( sdtasdt0 @ SY291 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) ) )
| ~ ! [SY293: $i,SY294: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( aNaturalNumber0 @ SY294 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY294
!= ( sdtasdt0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ SY294 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= SY294 ) ) ) )
| ( SY294 = sz00 )
| ( SY294 = sz10 )
| ! [SY295: $i] :
( ( ( sdtasdt0 @ SV181 @ SY293 )
!= ( sdtasdt0 @ SY294 @ SY295 ) )
| ~ ( aNaturalNumber0 @ SY295 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY293 ) @ SY294 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY294 @ SV181 )
| ( doDivides0 @ SY294 @ SY293 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2379]) ).
thf(2437,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY296: $i,SY297: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( aNaturalNumber0 @ SY297 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY297
!= ( sdtasdt0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ SY297 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= SY297 ) ) ) )
| ( SY297 = sz00 )
| ( SY297 = sz10 )
| ~ ( doDivides0 @ SY297 @ ( sdtasdt0 @ SV181 @ SY296 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY296 ) @ SY297 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY297 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( ( SY296
!= ( sdtasdt0 @ SY297 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) ) )
| ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ( doDivides0 @ SY299 @ SY298 ) ) )
| ~ ~ ( ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 ) )
| ( doDivides0 @ SY301 @ SV181 )
| ~ ( ( SY300
!= ( sdtasdt0 @ SY301 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) ) )
| ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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 )
| ( doDivides0 @ SY303 @ SY302 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2379]) ).
thf(2438,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( isPrime0 @ SY305 )
| ! [SY306: $i] :
( ( ( sdtasdt0 @ SV181 @ SY304 )
!= ( sdtasdt0 @ SY305 @ SY306 ) )
| ~ ( aNaturalNumber0 @ SY306 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY305 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( ( SY304
!= ( sdtasdt0 @ SY305 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) ) )
| ~ ! [SY307: $i,SY308: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( aNaturalNumber0 @ SY308 )
| ~ ( isPrime0 @ SY308 )
| ! [SY309: $i] :
( ( ( sdtasdt0 @ SV181 @ SY307 )
!= ( sdtasdt0 @ SY308 @ SY309 ) )
| ~ ( aNaturalNumber0 @ SY309 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY307 ) @ SY308 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY308 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ( doDivides0 @ SY308 @ SY307 ) ) )
| ~ ~ ( ~ ! [SY310: $i,SY311: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( aNaturalNumber0 @ SY311 )
| ~ ( isPrime0 @ SY311 )
| ! [SY312: $i] :
( ( ( sdtasdt0 @ SV181 @ SY310 )
!= ( sdtasdt0 @ SY311 @ SY312 ) )
| ~ ( aNaturalNumber0 @ SY312 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY310 ) @ SY311 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY311 @ SV181 )
| ~ ( ( SY310
!= ( sdtasdt0 @ SY311 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) ) )
| ~ ! [SY313: $i,SY314: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( aNaturalNumber0 @ SY314 )
| ~ ( isPrime0 @ SY314 )
| ! [SY315: $i] :
( ( ( sdtasdt0 @ SV181 @ SY313 )
!= ( sdtasdt0 @ SY314 @ SY315 ) )
| ~ ( aNaturalNumber0 @ SY315 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY313 ) @ SY314 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY314 @ SV181 )
| ( doDivides0 @ SY314 @ SY313 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2380]) ).
thf(2439,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY316: $i,SY317: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( aNaturalNumber0 @ SY317 )
| ~ ( isPrime0 @ SY317 )
| ~ ( doDivides0 @ SY317 @ ( sdtasdt0 @ SV181 @ SY316 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY316 ) @ SY317 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY317 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( ( SY316
!= ( sdtasdt0 @ SY317 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) ) )
| ~ ! [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 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ( doDivides0 @ SY319 @ SY318 ) ) )
| ~ ~ ( ~ ! [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 ) )
| ( doDivides0 @ SY321 @ SV181 )
| ~ ( ( SY320
!= ( sdtasdt0 @ SY321 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) ) )
| ~ ! [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 )
| ( doDivides0 @ SY323 @ SY322 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2380]) ).
thf(2440,plain,
! [SV214: $i] :
( ( ( aNaturalNumber0 @ SV214 )
= $false )
| ( ( ( sz10 != SV214 )
| ( SV214 = sz00 )
| ( SV214 = sz10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2381]) ).
thf(2441,plain,
! [SV215: $i] :
( ( ( aNaturalNumber0 @ SV215 )
= $false )
| ( ( ( sdtlseqdt0 @ sz10 @ SV215 )
| ( SV215 = sz00 )
| ( SV215 = sz10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2382]) ).
thf(2442,plain,
! [SV216: $i] :
( ( ( ( sdtpldt0 @ xp @ SV216 )
= xn )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV216 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2383]) ).
thf(2443,plain,
! [SV217: $i] :
( ( ( aNaturalNumber0 @ SV217 )
= $false )
| ( ( ( sdtasdt0 @ SV217 @ sz00 )
= sz00 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2384]) ).
thf(2444,plain,
! [SV218: $i] :
( ( ( aNaturalNumber0 @ SV218 )
= $false )
| ( ( sz00
= ( sdtasdt0 @ sz00 @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2385]) ).
thf(2445,plain,
! [SV219: $i] :
( ( ( aNaturalNumber0 @ SV219 )
= $false )
| ( ( ( sdtasdt0 @ SV219 @ sz10 )
= SV219 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2386]) ).
thf(2446,plain,
! [SV220: $i] :
( ( ( aNaturalNumber0 @ SV220 )
= $false )
| ( ( SV220
= ( sdtasdt0 @ sz10 @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2387]) ).
thf(2447,plain,
! [SV235: $i,SV230: $i,SV182: $i] :
( ( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SV230 )
| ~ ( aNaturalNumber0 @ SV235 )
| ( ( sdtpldt0 @ SV182 @ SV230 )
!= ( sdtpldt0 @ SV182 @ SV235 ) )
| ( SV230 = SV235 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2388]) ).
thf(2448,plain,
! [SV236: $i,SV231: $i,SV182: $i] :
( ( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SV231 )
| ~ ( aNaturalNumber0 @ SV236 )
| ( ( sdtpldt0 @ SV231 @ SV182 )
!= ( sdtpldt0 @ SV236 @ SV182 ) )
| ( SV231 = SV236 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2389]) ).
thf(2449,plain,
( ( ~ ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2390]) ).
thf(2450,plain,
( ( ~ ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2391]) ).
thf(2451,plain,
! [SV221: $i] :
( ( ( aNaturalNumber0 @ SV221 )
= $false )
| ( ( ( sdtpldt0 @ SV221 @ sz00 )
= SV221 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2392]) ).
thf(2452,plain,
! [SV222: $i] :
( ( ( aNaturalNumber0 @ SV222 )
= $false )
| ( ( SV222
= ( sdtpldt0 @ sz00 @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2393]) ).
thf(2453,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)],[2394]) ).
thf(2454,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2395]) ).
thf(2455,plain,
! [SV183: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV183 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV183 ) @ SV183 ) )
| ~ ( isPrime0 @ ( sK1_W1 @ SV183 ) ) )
= $false )
| ( ( SV183 = sz10 )
= $true )
| ( ( SV183 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV183 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2396]) ).
thf(2456,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ xk ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2397]) ).
thf(2457,plain,
( ( aNaturalNumber0 @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2398]) ).
thf(2458,plain,
! [SV237: $i,SV232: $i,SV184: $i] :
( ( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SV232 )
| ~ ( aNaturalNumber0 @ SV237 )
| ( ( sdtasdt0 @ SV184 @ ( sdtpldt0 @ SV232 @ SV237 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV184 @ SV232 ) @ ( sdtasdt0 @ SV184 @ SV237 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2399]) ).
thf(2459,plain,
! [SV238: $i,SV233: $i,SV184: $i] :
( ( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SV233 )
| ~ ( aNaturalNumber0 @ SV238 )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SV238 ) @ SV184 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV184 ) @ ( sdtasdt0 @ SV238 @ SV184 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2400]) ).
thf(2460,plain,
( ( ~ ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2401]) ).
thf(2461,plain,
( ( ~ ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2402]) ).
thf(2462,plain,
! [SV223: $i] :
( ( ( ( sdtpldt0 @ xp @ SV223 )
= xm )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV223 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2403]) ).
thf(2463,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)],[2407]) ).
thf(2464,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)],[2409]) ).
thf(2465,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)],[2410]) ).
thf(2466,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)],[2411]) ).
thf(2467,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)],[2412]) ).
thf(2468,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)],[2413]) ).
thf(2469,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)],[2415]) ).
thf(2470,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)],[2416]) ).
thf(2471,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)],[2417]) ).
thf(2472,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)],[2418]) ).
thf(2473,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)],[2419]) ).
thf(2474,plain,
! [SV200: $i,SV177: $i] :
( ( ( ( SV177 = sz00 )
| ~ ( doDivides0 @ SV177 @ SV200 ) )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( aNaturalNumber0 @ SY338 )
| ( ( sdtasdt0 @ SY338 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY338 @ SV200 ) @ SV177 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV177 )
= $false )
| ( ( aNaturalNumber0 @ SV200 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2420]) ).
thf(2475,plain,
! [SV225: $i,SV209: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV209 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV225 ) )
= $true )
| ( ( ( SV225 != SV209 )
| ( sdtlseqdt0 @ SV209 @ SV225 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2421]) ).
thf(2476,plain,
! [SV226: $i,SV210: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV210 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV226 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV226 @ SV210 )
| ( sdtlseqdt0 @ SV210 @ SV226 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2422]) ).
thf(2477,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)],[2423]) ).
thf(2478,plain,
( ( ~ ( ( xr != sz10 ) )
| ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2424]) ).
thf(2479,plain,
! [SV178: $i] :
( ( ( ! [SY267: $i,SY268: $i] :
( ~ ( aNaturalNumber0 @ SY267 )
| ~ ( aNaturalNumber0 @ SY268 )
| ( ( sdtasdt0 @ SV178 @ SY267 )
!= ( sdtasdt0 @ SV178 @ SY268 ) )
| ( SY267 = SY268 ) ) )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2425]) ).
thf(2480,plain,
! [SV178: $i] :
( ( ( ! [SY269: $i,SY270: $i] :
( ~ ( aNaturalNumber0 @ SY269 )
| ~ ( aNaturalNumber0 @ SY270 )
| ( ( sdtasdt0 @ SY269 @ SV178 )
!= ( sdtasdt0 @ SY270 @ SV178 ) )
| ( SY269 = SY270 ) ) )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2426]) ).
thf(2481,plain,
! [SV211: $i] :
( ( ( aNaturalNumber0 @ SV211 )
= $false )
| ( ( ( sdtpldt0 @ xk @ SV211 )
= xp )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2427]) ).
thf(2482,plain,
! [SV179: $i] :
( ( ! [SY271: $i,SY272: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY271 )
| ~ ( aNaturalNumber0 @ SY272 )
| ( SV179 = sz00 )
| ( SY271 = SY272 )
| ~ ( sdtlseqdt0 @ SY271 @ SY272 )
| ( ( sdtasdt0 @ SY271 @ SV179 )
!= ( sdtasdt0 @ SY272 @ SV179 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2428]) ).
thf(2483,plain,
! [SV179: $i] :
( ( ~ ( ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV179 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( ( sdtasdt0 @ SV179 @ SY273 )
!= ( sdtasdt0 @ SV179 @ SY274 ) ) )
| ~ ! [SY275: $i,SY276: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY275 )
| ~ ( aNaturalNumber0 @ SY276 )
| ( SV179 = sz00 )
| ( SY275 = SY276 )
| ~ ( sdtlseqdt0 @ SY275 @ SY276 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SY275 ) @ ( sdtasdt0 @ SV179 @ SY276 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2429]) ).
thf(2484,plain,
! [SV234: $i,SV227: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV227 )
| ~ ( aNaturalNumber0 @ SV234 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV227 = SV234 )
| ~ ( sdtlseqdt0 @ SV227 @ SV234 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV227 @ SV179 ) @ ( sdtasdt0 @ SV234 @ SV179 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2430]) ).
thf(2485,plain,
! [SV228: $i,SV212: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV212 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV228 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV212 @ SV228 )
!= sz00 )
| ( SV212 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2431]) ).
thf(2486,plain,
! [SV229: $i,SV213: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV213 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV229 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV213 @ SV229 )
!= sz00 )
| ( SV229 = sz00 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2432]) ).
thf(2487,plain,
! [SV201: $i,SV180: $i] :
( ( ( ( SV180 = SV201 )
| ~ ( sdtlseqdt0 @ SV180 @ SV201 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY339: $i] :
( ~ ( aNaturalNumber0 @ SY339 )
| ( ( sdtpldt0 @ SV180 @ SY339 )
!= ( sdtpldt0 @ SV201 @ SY339 ) ) )
| ~ ~ ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) )
| ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) ) )
| ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY342 ) @ ( sdtpldt0 @ SV201 @ SY342 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2435]) ).
thf(2488,plain,
! [SV181: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY284: $i,SY285: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY284 )
| ~ ( aNaturalNumber0 @ SY285 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY285
!= ( sdtasdt0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ SY285 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= SY285 ) ) ) )
| ( SY285 = sz00 )
| ( SY285 = sz10 )
| ! [SY286: $i] :
( ( ( sdtasdt0 @ SV181 @ SY284 )
!= ( sdtasdt0 @ SY285 @ SY286 ) )
| ~ ( aNaturalNumber0 @ SY286 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY284 ) @ SY285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY285 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( ( SY284
!= ( sdtasdt0 @ SY285 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) ) )
| ~ ! [SY287: $i,SY288: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( aNaturalNumber0 @ SY288 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY288
!= ( sdtasdt0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ SY288 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= SY288 ) ) ) )
| ( SY288 = sz00 )
| ( SY288 = sz10 )
| ! [SY289: $i] :
( ( ( sdtasdt0 @ SV181 @ SY287 )
!= ( sdtasdt0 @ SY288 @ SY289 ) )
| ~ ( aNaturalNumber0 @ SY289 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY287 ) @ SY288 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY288 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ( doDivides0 @ SY288 @ SY287 ) ) )
| ~ ~ ( ~ ! [SY290: $i,SY291: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( aNaturalNumber0 @ SY291 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY291
!= ( sdtasdt0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ SY291 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= SY291 ) ) ) )
| ( SY291 = sz00 )
| ( SY291 = sz10 )
| ! [SY292: $i] :
( ( ( sdtasdt0 @ SV181 @ SY290 )
!= ( sdtasdt0 @ SY291 @ SY292 ) )
| ~ ( aNaturalNumber0 @ SY292 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY290 ) @ SY291 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY291 @ SV181 )
| ~ ( ( SY290
!= ( sdtasdt0 @ SY291 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) ) )
| ~ ! [SY293: $i,SY294: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( aNaturalNumber0 @ SY294 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY294
!= ( sdtasdt0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ SY294 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= SY294 ) ) ) )
| ( SY294 = sz00 )
| ( SY294 = sz10 )
| ! [SY295: $i] :
( ( ( sdtasdt0 @ SV181 @ SY293 )
!= ( sdtasdt0 @ SY294 @ SY295 ) )
| ~ ( aNaturalNumber0 @ SY295 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY293 ) @ SY294 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY294 @ SV181 )
| ( doDivides0 @ SY294 @ SY293 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2436]) ).
thf(2489,plain,
! [SV181: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY296: $i,SY297: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( aNaturalNumber0 @ SY297 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY297
!= ( sdtasdt0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ SY297 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= SY297 ) ) ) )
| ( SY297 = sz00 )
| ( SY297 = sz10 )
| ~ ( doDivides0 @ SY297 @ ( sdtasdt0 @ SV181 @ SY296 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY296 ) @ SY297 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY297 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( ( SY296
!= ( sdtasdt0 @ SY297 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) ) )
| ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ( doDivides0 @ SY299 @ SY298 ) ) )
| ~ ~ ( ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 ) )
| ( doDivides0 @ SY301 @ SV181 )
| ~ ( ( SY300
!= ( sdtasdt0 @ SY301 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) ) )
| ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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 )
| ( doDivides0 @ SY303 @ SY302 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2437]) ).
thf(2490,plain,
! [SV181: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( isPrime0 @ SY305 )
| ! [SY306: $i] :
( ( ( sdtasdt0 @ SV181 @ SY304 )
!= ( sdtasdt0 @ SY305 @ SY306 ) )
| ~ ( aNaturalNumber0 @ SY306 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY305 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( ( SY304
!= ( sdtasdt0 @ SY305 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) ) )
| ~ ! [SY307: $i,SY308: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( aNaturalNumber0 @ SY308 )
| ~ ( isPrime0 @ SY308 )
| ! [SY309: $i] :
( ( ( sdtasdt0 @ SV181 @ SY307 )
!= ( sdtasdt0 @ SY308 @ SY309 ) )
| ~ ( aNaturalNumber0 @ SY309 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY307 ) @ SY308 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY308 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ( doDivides0 @ SY308 @ SY307 ) ) )
| ~ ~ ( ~ ! [SY310: $i,SY311: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( aNaturalNumber0 @ SY311 )
| ~ ( isPrime0 @ SY311 )
| ! [SY312: $i] :
( ( ( sdtasdt0 @ SV181 @ SY310 )
!= ( sdtasdt0 @ SY311 @ SY312 ) )
| ~ ( aNaturalNumber0 @ SY312 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY310 ) @ SY311 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY311 @ SV181 )
| ~ ( ( SY310
!= ( sdtasdt0 @ SY311 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) ) )
| ~ ! [SY313: $i,SY314: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( aNaturalNumber0 @ SY314 )
| ~ ( isPrime0 @ SY314 )
| ! [SY315: $i] :
( ( ( sdtasdt0 @ SV181 @ SY313 )
!= ( sdtasdt0 @ SY314 @ SY315 ) )
| ~ ( aNaturalNumber0 @ SY315 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY313 ) @ SY314 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY314 @ SV181 )
| ( doDivides0 @ SY314 @ SY313 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2438]) ).
thf(2491,plain,
! [SV181: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY316: $i,SY317: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( aNaturalNumber0 @ SY317 )
| ~ ( isPrime0 @ SY317 )
| ~ ( doDivides0 @ SY317 @ ( sdtasdt0 @ SV181 @ SY316 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY316 ) @ SY317 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY317 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( ( SY316
!= ( sdtasdt0 @ SY317 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) ) )
| ~ ! [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 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ( doDivides0 @ SY319 @ SY318 ) ) )
| ~ ~ ( ~ ! [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 ) )
| ( doDivides0 @ SY321 @ SV181 )
| ~ ( ( SY320
!= ( sdtasdt0 @ SY321 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) ) )
| ~ ! [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 )
| ( doDivides0 @ SY323 @ SY322 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2439]) ).
thf(2492,plain,
! [SV214: $i] :
( ( ( ( sz10 != SV214 ) )
= $true )
| ( ( ( SV214 = sz00 )
| ( SV214 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV214 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2440]) ).
thf(2493,plain,
! [SV215: $i] :
( ( ( sdtlseqdt0 @ sz10 @ SV215 )
= $true )
| ( ( ( SV215 = sz00 )
| ( SV215 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV215 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2441]) ).
thf(2494,plain,
! [SV216: $i] :
( ( ( aNaturalNumber0 @ SV216 )
= $false )
| ( ( ( sdtpldt0 @ xp @ SV216 )
= xn )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2442]) ).
thf(2495,plain,
! [SV235: $i,SV230: $i,SV182: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SV230 )
| ~ ( aNaturalNumber0 @ SV235 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV182 @ SV230 )
!= ( sdtpldt0 @ SV182 @ SV235 ) )
| ( SV230 = SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2447]) ).
thf(2496,plain,
! [SV236: $i,SV231: $i,SV182: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SV231 )
| ~ ( aNaturalNumber0 @ SV236 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV231 @ SV182 )
!= ( sdtpldt0 @ SV236 @ SV182 ) )
| ( SV231 = SV236 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2448]) ).
thf(2497,plain,
( ( ~ ( ( xm != xp ) )
| ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2449]) ).
thf(2498,plain,
( ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK5_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2450]) ).
thf(2499,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)],[2453]) ).
thf(2500,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK7_W0 ) )
| ~ ( aNaturalNumber0 @ sK7_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2454]) ).
thf(2501,plain,
! [SV183: $i] :
( ( ( ~ ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV183 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV183 ) @ SV183 ) ) )
= $false )
| ( ( SV183 = sz10 )
= $true )
| ( ( SV183 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV183 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2455]) ).
thf(2502,plain,
! [SV183: $i] :
( ( ( ~ ( isPrime0 @ ( sK1_W1 @ SV183 ) ) )
= $false )
| ( ( SV183 = sz10 )
= $true )
| ( ( SV183 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV183 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2455]) ).
thf(2503,plain,
! [SV237: $i,SV232: $i,SV184: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SV232 )
| ~ ( aNaturalNumber0 @ SV237 ) )
= $true )
| ( ( ( sdtasdt0 @ SV184 @ ( sdtpldt0 @ SV232 @ SV237 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV184 @ SV232 ) @ ( sdtasdt0 @ SV184 @ SV237 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2458]) ).
thf(2504,plain,
! [SV238: $i,SV233: $i,SV184: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SV233 )
| ~ ( aNaturalNumber0 @ SV238 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SV238 ) @ SV184 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV184 ) @ ( sdtasdt0 @ SV238 @ SV184 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2459]) ).
thf(2505,plain,
( ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk )
| ~ ( aNaturalNumber0 @ sK3_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2460]) ).
thf(2506,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) )
| ~ ( aNaturalNumber0 @ sK2_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2461]) ).
thf(2507,plain,
! [SV223: $i] :
( ( ( aNaturalNumber0 @ SV223 )
= $false )
| ( ( ( sdtpldt0 @ xp @ SV223 )
= xm )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2462]) ).
thf(2508,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)],[2463]) ).
thf(2509,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)],[2464]) ).
thf(2510,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)],[2465]) ).
thf(2511,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)],[2466]) ).
thf(2512,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)],[2467]) ).
thf(2513,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)],[2469]) ).
thf(2514,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)],[2470]) ).
thf(2515,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)],[2471]) ).
thf(2516,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)],[2472]) ).
thf(2517,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)],[2473]) ).
thf(2518,plain,
! [SV200: $i,SV177: $i] :
( ( ( SV177 = sz00 )
= $true )
| ( ( ~ ( doDivides0 @ SV177 @ SV200 ) )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( aNaturalNumber0 @ SY338 )
| ( ( sdtasdt0 @ SY338 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY338 @ SV200 ) @ SV177 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV177 )
= $false )
| ( ( aNaturalNumber0 @ SV200 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2474]) ).
thf(2519,plain,
! [SV225: $i,SV209: $i] :
( ( ( aNaturalNumber0 @ SV209 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV225 ) )
= $true )
| ( ( ( SV225 != SV209 )
| ( sdtlseqdt0 @ SV209 @ SV225 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2475]) ).
thf(2520,plain,
! [SV226: $i,SV210: $i] :
( ( ( aNaturalNumber0 @ SV210 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV226 ) )
= $true )
| ( ( ( sdtlseqdt0 @ SV226 @ SV210 )
| ( sdtlseqdt0 @ SV210 @ SV226 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2476]) ).
thf(2521,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2477]) ).
thf(2522,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2477]) ).
thf(2523,plain,
( ( ~ ( ( xr != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2478]) ).
thf(2524,plain,
( ( ~ ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2478]) ).
thf(2525,plain,
! [SV178: $i,SV239: $i] :
( ( ( ! [SY352: $i] :
( ~ ( aNaturalNumber0 @ SV239 )
| ~ ( aNaturalNumber0 @ SY352 )
| ( ( sdtasdt0 @ SV178 @ SV239 )
!= ( sdtasdt0 @ SV178 @ SY352 ) )
| ( SV239 = SY352 ) ) )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2479]) ).
thf(2526,plain,
! [SV178: $i,SV240: $i] :
( ( ( ! [SY353: $i] :
( ~ ( aNaturalNumber0 @ SV240 )
| ~ ( aNaturalNumber0 @ SY353 )
| ( ( sdtasdt0 @ SV240 @ SV178 )
!= ( sdtasdt0 @ SY353 @ SV178 ) )
| ( SV240 = SY353 ) ) )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2480]) ).
thf(2527,plain,
! [SV241: $i,SV179: $i] :
( ( ! [SY354: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV241 )
| ~ ( aNaturalNumber0 @ SY354 )
| ( SV179 = sz00 )
| ( SV241 = SY354 )
| ~ ( sdtlseqdt0 @ SV241 @ SY354 )
| ( ( sdtasdt0 @ SV241 @ SV179 )
!= ( sdtasdt0 @ SY354 @ SV179 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2482]) ).
thf(2528,plain,
! [SV179: $i] :
( ( ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV179 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( ( sdtasdt0 @ SV179 @ SY273 )
!= ( sdtasdt0 @ SV179 @ SY274 ) ) )
| ~ ! [SY275: $i,SY276: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY275 )
| ~ ( aNaturalNumber0 @ SY276 )
| ( SV179 = sz00 )
| ( SY275 = SY276 )
| ~ ( sdtlseqdt0 @ SY275 @ SY276 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SY275 ) @ ( sdtasdt0 @ SV179 @ SY276 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2483]) ).
thf(2529,plain,
! [SV234: $i,SV227: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV227 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV234 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV227 = SV234 )
| ~ ( sdtlseqdt0 @ SV227 @ SV234 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV227 @ SV179 ) @ ( sdtasdt0 @ SV234 @ SV179 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2484]) ).
thf(2530,plain,
! [SV228: $i,SV212: $i] :
( ( ( aNaturalNumber0 @ SV212 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV228 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV212 @ SV228 )
!= sz00 )
| ( SV212 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2485]) ).
thf(2531,plain,
! [SV229: $i,SV213: $i] :
( ( ( aNaturalNumber0 @ SV213 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV229 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV213 @ SV229 )
!= sz00 )
| ( SV229 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2486]) ).
thf(2532,plain,
! [SV201: $i,SV180: $i] :
( ( ( SV180 = SV201 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV180 @ SV201 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY339: $i] :
( ~ ( aNaturalNumber0 @ SY339 )
| ( ( sdtpldt0 @ SV180 @ SY339 )
!= ( sdtpldt0 @ SV201 @ SY339 ) ) )
| ~ ~ ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) )
| ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) ) )
| ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY342 ) @ ( sdtpldt0 @ SV201 @ SY342 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2487]) ).
thf(2533,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY284: $i,SY285: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY284 )
| ~ ( aNaturalNumber0 @ SY285 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY285
!= ( sdtasdt0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ SY285 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= SY285 ) ) ) )
| ( SY285 = sz00 )
| ( SY285 = sz10 )
| ! [SY286: $i] :
( ( ( sdtasdt0 @ SV181 @ SY284 )
!= ( sdtasdt0 @ SY285 @ SY286 ) )
| ~ ( aNaturalNumber0 @ SY286 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY284 ) @ SY285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY285 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( ( SY284
!= ( sdtasdt0 @ SY285 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) ) )
| ~ ! [SY287: $i,SY288: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( aNaturalNumber0 @ SY288 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY288
!= ( sdtasdt0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ SY288 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= SY288 ) ) ) )
| ( SY288 = sz00 )
| ( SY288 = sz10 )
| ! [SY289: $i] :
( ( ( sdtasdt0 @ SV181 @ SY287 )
!= ( sdtasdt0 @ SY288 @ SY289 ) )
| ~ ( aNaturalNumber0 @ SY289 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY287 ) @ SY288 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY288 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ( doDivides0 @ SY288 @ SY287 ) ) )
| ~ ~ ( ~ ! [SY290: $i,SY291: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( aNaturalNumber0 @ SY291 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY291
!= ( sdtasdt0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ SY291 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= SY291 ) ) ) )
| ( SY291 = sz00 )
| ( SY291 = sz10 )
| ! [SY292: $i] :
( ( ( sdtasdt0 @ SV181 @ SY290 )
!= ( sdtasdt0 @ SY291 @ SY292 ) )
| ~ ( aNaturalNumber0 @ SY292 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY290 ) @ SY291 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY291 @ SV181 )
| ~ ( ( SY290
!= ( sdtasdt0 @ SY291 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) ) )
| ~ ! [SY293: $i,SY294: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( aNaturalNumber0 @ SY294 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY294
!= ( sdtasdt0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ SY294 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= SY294 ) ) ) )
| ( SY294 = sz00 )
| ( SY294 = sz10 )
| ! [SY295: $i] :
( ( ( sdtasdt0 @ SV181 @ SY293 )
!= ( sdtasdt0 @ SY294 @ SY295 ) )
| ~ ( aNaturalNumber0 @ SY295 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY293 ) @ SY294 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY294 @ SV181 )
| ( doDivides0 @ SY294 @ SY293 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2488]) ).
thf(2534,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY296: $i,SY297: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( aNaturalNumber0 @ SY297 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY297
!= ( sdtasdt0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ SY297 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= SY297 ) ) ) )
| ( SY297 = sz00 )
| ( SY297 = sz10 )
| ~ ( doDivides0 @ SY297 @ ( sdtasdt0 @ SV181 @ SY296 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY296 ) @ SY297 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY297 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( ( SY296
!= ( sdtasdt0 @ SY297 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) ) )
| ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ( doDivides0 @ SY299 @ SY298 ) ) )
| ~ ~ ( ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 ) )
| ( doDivides0 @ SY301 @ SV181 )
| ~ ( ( SY300
!= ( sdtasdt0 @ SY301 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) ) )
| ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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 )
| ( doDivides0 @ SY303 @ SY302 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2489]) ).
thf(2535,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( isPrime0 @ SY305 )
| ! [SY306: $i] :
( ( ( sdtasdt0 @ SV181 @ SY304 )
!= ( sdtasdt0 @ SY305 @ SY306 ) )
| ~ ( aNaturalNumber0 @ SY306 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY305 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( ( SY304
!= ( sdtasdt0 @ SY305 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) ) )
| ~ ! [SY307: $i,SY308: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( aNaturalNumber0 @ SY308 )
| ~ ( isPrime0 @ SY308 )
| ! [SY309: $i] :
( ( ( sdtasdt0 @ SV181 @ SY307 )
!= ( sdtasdt0 @ SY308 @ SY309 ) )
| ~ ( aNaturalNumber0 @ SY309 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY307 ) @ SY308 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY308 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ( doDivides0 @ SY308 @ SY307 ) ) )
| ~ ~ ( ~ ! [SY310: $i,SY311: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( aNaturalNumber0 @ SY311 )
| ~ ( isPrime0 @ SY311 )
| ! [SY312: $i] :
( ( ( sdtasdt0 @ SV181 @ SY310 )
!= ( sdtasdt0 @ SY311 @ SY312 ) )
| ~ ( aNaturalNumber0 @ SY312 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY310 ) @ SY311 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY311 @ SV181 )
| ~ ( ( SY310
!= ( sdtasdt0 @ SY311 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) ) )
| ~ ! [SY313: $i,SY314: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( aNaturalNumber0 @ SY314 )
| ~ ( isPrime0 @ SY314 )
| ! [SY315: $i] :
( ( ( sdtasdt0 @ SV181 @ SY313 )
!= ( sdtasdt0 @ SY314 @ SY315 ) )
| ~ ( aNaturalNumber0 @ SY315 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY313 ) @ SY314 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY314 @ SV181 )
| ( doDivides0 @ SY314 @ SY313 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2490]) ).
thf(2536,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY316: $i,SY317: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( aNaturalNumber0 @ SY317 )
| ~ ( isPrime0 @ SY317 )
| ~ ( doDivides0 @ SY317 @ ( sdtasdt0 @ SV181 @ SY316 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY316 ) @ SY317 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY317 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( ( SY316
!= ( sdtasdt0 @ SY317 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) ) )
| ~ ! [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 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ( doDivides0 @ SY319 @ SY318 ) ) )
| ~ ~ ( ~ ! [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 ) )
| ( doDivides0 @ SY321 @ SV181 )
| ~ ( ( SY320
!= ( sdtasdt0 @ SY321 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) ) )
| ~ ! [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 )
| ( doDivides0 @ SY323 @ SY322 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2491]) ).
thf(2537,plain,
! [SV214: $i] :
( ( ( sz10 = SV214 )
= $false )
| ( ( ( SV214 = sz00 )
| ( SV214 = sz10 ) )
= $true )
| ( ( aNaturalNumber0 @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2492]) ).
thf(2538,plain,
! [SV215: $i] :
( ( ( SV215 = sz00 )
= $true )
| ( ( SV215 = sz10 )
= $true )
| ( ( sdtlseqdt0 @ sz10 @ SV215 )
= $true )
| ( ( aNaturalNumber0 @ SV215 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2493]) ).
thf(2539,plain,
! [SV235: $i,SV230: $i,SV182: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SV230 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV235 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV182 @ SV230 )
!= ( sdtpldt0 @ SV182 @ SV235 ) )
| ( SV230 = SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2495]) ).
thf(2540,plain,
! [SV236: $i,SV231: $i,SV182: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV182 )
| ~ ( aNaturalNumber0 @ SV231 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV236 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV231 @ SV182 )
!= ( sdtpldt0 @ SV236 @ SV182 ) )
| ( SV231 = SV236 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2496]) ).
thf(2541,plain,
( ( ~ ( ( xm != xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2497]) ).
thf(2542,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2497]) ).
thf(2543,plain,
( ( ( ( sdtpldt0 @ xm @ sK5_W0 )
!= xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2498]) ).
thf(2544,plain,
( ( ~ ( aNaturalNumber0 @ sK5_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2498]) ).
thf(2545,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)],[2499]) ).
thf(2546,plain,
( ( ~ ( isPrime0 @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2499]) ).
thf(2547,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xp @ sK7_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2500]) ).
thf(2548,plain,
( ( ~ ( aNaturalNumber0 @ sK7_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2500]) ).
thf(2549,plain,
! [SV183: $i] :
( ( ( ~ ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV183 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV183 ) @ SV183 ) ) )
= $true )
| ( ( SV183 = sz10 )
= $true )
| ( ( SV183 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV183 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2501]) ).
thf(2550,plain,
! [SV183: $i] :
( ( ( isPrime0 @ ( sK1_W1 @ SV183 ) )
= $true )
| ( ( SV183 = sz10 )
= $true )
| ( ( SV183 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV183 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2502]) ).
thf(2551,plain,
! [SV237: $i,SV232: $i,SV184: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SV232 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV237 ) )
= $true )
| ( ( ( sdtasdt0 @ SV184 @ ( sdtpldt0 @ SV232 @ SV237 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV184 @ SV232 ) @ ( sdtasdt0 @ SV184 @ SV237 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2503]) ).
thf(2552,plain,
! [SV238: $i,SV233: $i,SV184: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV184 )
| ~ ( aNaturalNumber0 @ SV233 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV238 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SV238 ) @ SV184 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV184 ) @ ( sdtasdt0 @ SV238 @ SV184 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2504]) ).
thf(2553,plain,
( ( ( ( sdtpldt0 @ xr @ sK3_W0 )
!= xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2505]) ).
thf(2554,plain,
( ( ~ ( aNaturalNumber0 @ sK3_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2505]) ).
thf(2555,plain,
( ( ( ( sdtasdt0 @ xn @ xm )
!= ( sdtasdt0 @ xr @ sK2_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2506]) ).
thf(2556,plain,
( ( ~ ( aNaturalNumber0 @ sK2_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2506]) ).
thf(2557,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)],[2508]) ).
thf(2558,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)],[2509]) ).
thf(2559,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)],[2510]) ).
thf(2560,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)],[2511]) ).
thf(2561,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)],[2512]) ).
thf(2562,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)],[2513]) ).
thf(2563,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)],[2514]) ).
thf(2564,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)],[2515]) ).
thf(2565,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)],[2516]) ).
thf(2566,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)],[2517]) ).
thf(2567,plain,
! [SV200: $i,SV177: $i] :
( ( ( doDivides0 @ SV177 @ SV200 )
= $false )
| ( ( SV177 = sz00 )
= $true )
| ( ( ! [SY338: $i] :
( ~ ( aNaturalNumber0 @ SY338 )
| ( ( sdtasdt0 @ SY338 @ ( sdtsldt0 @ SV200 @ SV177 ) )
= ( sdtsldt0 @ ( sdtasdt0 @ SY338 @ SV200 ) @ SV177 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV177 )
= $false )
| ( ( aNaturalNumber0 @ SV200 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2518]) ).
thf(2568,plain,
! [SV209: $i,SV225: $i] :
( ( ( aNaturalNumber0 @ SV225 )
= $false )
| ( ( aNaturalNumber0 @ SV209 )
= $false )
| ( ( ( SV225 != SV209 )
| ( sdtlseqdt0 @ SV209 @ SV225 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2519]) ).
thf(2569,plain,
! [SV210: $i,SV226: $i] :
( ( ( aNaturalNumber0 @ SV226 )
= $false )
| ( ( aNaturalNumber0 @ SV210 )
= $false )
| ( ( ( sdtlseqdt0 @ SV226 @ SV210 )
| ( sdtlseqdt0 @ SV210 @ SV226 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2520]) ).
thf(2570,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xr
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2521]) ).
thf(2571,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xr )
| ( SX0 = sz10 )
| ( SX0 = xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2522]) ).
thf(2572,plain,
( ( ( xr != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2523]) ).
thf(2573,plain,
( ( ~ ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2524]) ).
thf(2574,plain,
! [SV178: $i,SV242: $i,SV239: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV239 )
| ~ ( aNaturalNumber0 @ SV242 )
| ( ( sdtasdt0 @ SV178 @ SV239 )
!= ( sdtasdt0 @ SV178 @ SV242 ) )
| ( SV239 = SV242 ) )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2525]) ).
thf(2575,plain,
! [SV178: $i,SV243: $i,SV240: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV240 )
| ~ ( aNaturalNumber0 @ SV243 )
| ( ( sdtasdt0 @ SV240 @ SV178 )
!= ( sdtasdt0 @ SV243 @ SV178 ) )
| ( SV240 = SV243 ) )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2526]) ).
thf(2576,plain,
! [SV244: $i,SV241: $i,SV179: $i] :
( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV241 )
| ~ ( aNaturalNumber0 @ SV244 )
| ( SV179 = sz00 )
| ( SV241 = SV244 )
| ~ ( sdtlseqdt0 @ SV241 @ SV244 )
| ( ( sdtasdt0 @ SV241 @ SV179 )
!= ( sdtasdt0 @ SV244 @ SV179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2527]) ).
thf(2577,plain,
! [SV179: $i] :
( ( ~ ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV179 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( ( sdtasdt0 @ SV179 @ SY273 )
!= ( sdtasdt0 @ SV179 @ SY274 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2528]) ).
thf(2578,plain,
! [SV179: $i] :
( ( ~ ! [SY275: $i,SY276: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY275 )
| ~ ( aNaturalNumber0 @ SY276 )
| ( SV179 = sz00 )
| ( SY275 = SY276 )
| ~ ( sdtlseqdt0 @ SY275 @ SY276 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SY275 ) @ ( sdtasdt0 @ SV179 @ SY276 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2528]) ).
thf(2579,plain,
! [SV234: $i,SV227: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV227 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV234 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV227 = SV234 )
| ~ ( sdtlseqdt0 @ SV227 @ SV234 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV227 @ SV179 ) @ ( sdtasdt0 @ SV234 @ SV179 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2529]) ).
thf(2580,plain,
! [SV212: $i,SV228: $i] :
( ( ( aNaturalNumber0 @ SV228 )
= $false )
| ( ( aNaturalNumber0 @ SV212 )
= $false )
| ( ( ( ( sdtpldt0 @ SV212 @ SV228 )
!= sz00 )
| ( SV212 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2530]) ).
thf(2581,plain,
! [SV213: $i,SV229: $i] :
( ( ( aNaturalNumber0 @ SV229 )
= $false )
| ( ( aNaturalNumber0 @ SV213 )
= $false )
| ( ( ( ( sdtpldt0 @ SV213 @ SV229 )
!= sz00 )
| ( SV229 = sz00 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2531]) ).
thf(2582,plain,
! [SV201: $i,SV180: $i] :
( ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY339: $i] :
( ~ ( aNaturalNumber0 @ SY339 )
| ( ( sdtpldt0 @ SV180 @ SY339 )
!= ( sdtpldt0 @ SV201 @ SY339 ) ) )
| ~ ~ ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) )
| ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) ) )
| ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY342 ) @ ( sdtpldt0 @ SV201 @ SY342 ) ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2532]) ).
thf(2583,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY284: $i,SY285: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY284 )
| ~ ( aNaturalNumber0 @ SY285 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY285
!= ( sdtasdt0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ SY285 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= SY285 ) ) ) )
| ( SY285 = sz00 )
| ( SY285 = sz10 )
| ! [SY286: $i] :
( ( ( sdtasdt0 @ SV181 @ SY284 )
!= ( sdtasdt0 @ SY285 @ SY286 ) )
| ~ ( aNaturalNumber0 @ SY286 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY284 ) @ SY285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY285 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( ( SY284
!= ( sdtasdt0 @ SY285 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) ) )
| ~ ! [SY287: $i,SY288: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( aNaturalNumber0 @ SY288 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY288
!= ( sdtasdt0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ SY288 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= SY288 ) ) ) )
| ( SY288 = sz00 )
| ( SY288 = sz10 )
| ! [SY289: $i] :
( ( ( sdtasdt0 @ SV181 @ SY287 )
!= ( sdtasdt0 @ SY288 @ SY289 ) )
| ~ ( aNaturalNumber0 @ SY289 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY287 ) @ SY288 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY288 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ( doDivides0 @ SY288 @ SY287 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2533]) ).
thf(2584,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY290: $i,SY291: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( aNaturalNumber0 @ SY291 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY291
!= ( sdtasdt0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ SY291 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= SY291 ) ) ) )
| ( SY291 = sz00 )
| ( SY291 = sz10 )
| ! [SY292: $i] :
( ( ( sdtasdt0 @ SV181 @ SY290 )
!= ( sdtasdt0 @ SY291 @ SY292 ) )
| ~ ( aNaturalNumber0 @ SY292 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY290 ) @ SY291 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY291 @ SV181 )
| ~ ( ( SY290
!= ( sdtasdt0 @ SY291 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) ) )
| ~ ! [SY293: $i,SY294: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( aNaturalNumber0 @ SY294 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY294
!= ( sdtasdt0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ SY294 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= SY294 ) ) ) )
| ( SY294 = sz00 )
| ( SY294 = sz10 )
| ! [SY295: $i] :
( ( ( sdtasdt0 @ SV181 @ SY293 )
!= ( sdtasdt0 @ SY294 @ SY295 ) )
| ~ ( aNaturalNumber0 @ SY295 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY293 ) @ SY294 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY294 @ SV181 )
| ( doDivides0 @ SY294 @ SY293 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2533]) ).
thf(2585,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY296: $i,SY297: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( aNaturalNumber0 @ SY297 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY297
!= ( sdtasdt0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ SY297 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= SY297 ) ) ) )
| ( SY297 = sz00 )
| ( SY297 = sz10 )
| ~ ( doDivides0 @ SY297 @ ( sdtasdt0 @ SV181 @ SY296 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY296 ) @ SY297 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY297 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( ( SY296
!= ( sdtasdt0 @ SY297 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) ) )
| ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ( doDivides0 @ SY299 @ SY298 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2534]) ).
thf(2586,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 ) )
| ( doDivides0 @ SY301 @ SV181 )
| ~ ( ( SY300
!= ( sdtasdt0 @ SY301 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) ) )
| ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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 )
| ( doDivides0 @ SY303 @ SY302 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2534]) ).
thf(2587,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( isPrime0 @ SY305 )
| ! [SY306: $i] :
( ( ( sdtasdt0 @ SV181 @ SY304 )
!= ( sdtasdt0 @ SY305 @ SY306 ) )
| ~ ( aNaturalNumber0 @ SY306 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY305 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( ( SY304
!= ( sdtasdt0 @ SY305 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) ) )
| ~ ! [SY307: $i,SY308: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( aNaturalNumber0 @ SY308 )
| ~ ( isPrime0 @ SY308 )
| ! [SY309: $i] :
( ( ( sdtasdt0 @ SV181 @ SY307 )
!= ( sdtasdt0 @ SY308 @ SY309 ) )
| ~ ( aNaturalNumber0 @ SY309 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY307 ) @ SY308 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY308 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ( doDivides0 @ SY308 @ SY307 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2535]) ).
thf(2588,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY310: $i,SY311: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( aNaturalNumber0 @ SY311 )
| ~ ( isPrime0 @ SY311 )
| ! [SY312: $i] :
( ( ( sdtasdt0 @ SV181 @ SY310 )
!= ( sdtasdt0 @ SY311 @ SY312 ) )
| ~ ( aNaturalNumber0 @ SY312 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY310 ) @ SY311 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY311 @ SV181 )
| ~ ( ( SY310
!= ( sdtasdt0 @ SY311 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) ) )
| ~ ! [SY313: $i,SY314: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( aNaturalNumber0 @ SY314 )
| ~ ( isPrime0 @ SY314 )
| ! [SY315: $i] :
( ( ( sdtasdt0 @ SV181 @ SY313 )
!= ( sdtasdt0 @ SY314 @ SY315 ) )
| ~ ( aNaturalNumber0 @ SY315 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY313 ) @ SY314 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY314 @ SV181 )
| ( doDivides0 @ SY314 @ SY313 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2535]) ).
thf(2589,plain,
! [SV181: $i] :
( ( ~ ~ ( ~ ! [SY316: $i,SY317: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( aNaturalNumber0 @ SY317 )
| ~ ( isPrime0 @ SY317 )
| ~ ( doDivides0 @ SY317 @ ( sdtasdt0 @ SV181 @ SY316 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY316 ) @ SY317 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY317 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( ( SY316
!= ( sdtasdt0 @ SY317 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) ) )
| ~ ! [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 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ( doDivides0 @ SY319 @ SY318 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2536]) ).
thf(2590,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 ) )
| ( doDivides0 @ SY321 @ SV181 )
| ~ ( ( SY320
!= ( sdtasdt0 @ SY321 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) ) )
| ~ ! [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 )
| ( doDivides0 @ SY323 @ SY322 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2536]) ).
thf(2591,plain,
! [SV214: $i] :
( ( ( SV214 = sz00 )
= $true )
| ( ( SV214 = sz10 )
= $true )
| ( ( sz10 = SV214 )
= $false )
| ( ( aNaturalNumber0 @ SV214 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2537]) ).
thf(2592,plain,
! [SV235: $i,SV230: $i,SV182: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV182 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV230 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV235 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV182 @ SV230 )
!= ( sdtpldt0 @ SV182 @ SV235 ) )
| ( SV230 = SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2539]) ).
thf(2593,plain,
! [SV236: $i,SV231: $i,SV182: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV182 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV231 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV236 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV231 @ SV182 )
!= ( sdtpldt0 @ SV236 @ SV182 ) )
| ( SV231 = SV236 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2540]) ).
thf(2594,plain,
( ( ( xm != xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2541]) ).
thf(2595,plain,
( ( ~ ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2542]) ).
thf(2596,plain,
( ( ( sdtpldt0 @ xm @ sK5_W0 )
= xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2543]) ).
thf(2597,plain,
( ( aNaturalNumber0 @ sK5_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2544]) ).
thf(2598,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)],[2545]) ).
thf(2599,plain,
( ( isPrime0 @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2546]) ).
thf(2600,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xp @ sK7_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2547]) ).
thf(2601,plain,
( ( aNaturalNumber0 @ sK7_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2548]) ).
thf(2602,plain,
! [SV183: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV183 ) )
| ~ ( doDivides0 @ ( sK1_W1 @ SV183 ) @ SV183 ) )
= $false )
| ( ( SV183 = sz10 )
= $true )
| ( ( SV183 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV183 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2549]) ).
thf(2603,plain,
! [SV237: $i,SV232: $i,SV184: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV184 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV232 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV237 ) )
= $true )
| ( ( ( sdtasdt0 @ SV184 @ ( sdtpldt0 @ SV232 @ SV237 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV184 @ SV232 ) @ ( sdtasdt0 @ SV184 @ SV237 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2551]) ).
thf(2604,plain,
! [SV238: $i,SV233: $i,SV184: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV184 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV233 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV238 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SV238 ) @ SV184 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV184 ) @ ( sdtasdt0 @ SV238 @ SV184 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2552]) ).
thf(2605,plain,
( ( ( sdtpldt0 @ xr @ sK3_W0 )
= xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2553]) ).
thf(2606,plain,
( ( aNaturalNumber0 @ sK3_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2554]) ).
thf(2607,plain,
( ( ( sdtasdt0 @ xn @ xm )
= ( sdtasdt0 @ xr @ sK2_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2555]) ).
thf(2608,plain,
( ( aNaturalNumber0 @ sK2_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2556]) ).
thf(2609,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)],[2560]) ).
thf(2610,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)],[2561]) ).
thf(2611,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)],[2563]) ).
thf(2612,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)],[2564]) ).
thf(2613,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)],[2565]) ).
thf(2614,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)],[2567]) ).
thf(2615,plain,
! [SV209: $i,SV225: $i] :
( ( ( ( SV225 != SV209 ) )
= $true )
| ( ( sdtlseqdt0 @ SV209 @ SV225 )
= $true )
| ( ( aNaturalNumber0 @ SV209 )
= $false )
| ( ( aNaturalNumber0 @ SV225 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2568]) ).
thf(2616,plain,
! [SV210: $i,SV226: $i] :
( ( ( sdtlseqdt0 @ SV226 @ SV210 )
= $true )
| ( ( sdtlseqdt0 @ SV210 @ SV226 )
= $true )
| ( ( aNaturalNumber0 @ SV210 )
= $false )
| ( ( aNaturalNumber0 @ SV226 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2569]) ).
thf(2617,plain,
! [SV246: $i] :
( ( ~ ( aNaturalNumber0 @ SV246 )
| ! [SY355: $i] :
( ( xr
!= ( sdtasdt0 @ SV246 @ SY355 ) )
| ~ ( aNaturalNumber0 @ SY355 ) )
| ( SV246 = sz10 )
| ( SV246 = xr ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2570]) ).
thf(2618,plain,
! [SV247: $i] :
( ( ~ ( aNaturalNumber0 @ SV247 )
| ~ ( doDivides0 @ SV247 @ xr )
| ( SV247 = sz10 )
| ( SV247 = xr ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2571]) ).
thf(2619,plain,
( ( xr = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2572]) ).
thf(2620,plain,
( ( ~ ( ( xr != sz00 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2573]) ).
thf(2621,plain,
! [SV178: $i,SV242: $i,SV239: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV239 )
| ~ ( aNaturalNumber0 @ SV242 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV178 @ SV239 )
!= ( sdtasdt0 @ SV178 @ SV242 ) )
| ( SV239 = SV242 ) )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2574]) ).
thf(2622,plain,
! [SV178: $i,SV243: $i,SV240: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV240 )
| ~ ( aNaturalNumber0 @ SV243 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV240 @ SV178 )
!= ( sdtasdt0 @ SV243 @ SV178 ) )
| ( SV240 = SV243 ) )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2575]) ).
thf(2623,plain,
! [SV244: $i,SV241: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV241 )
| ~ ( aNaturalNumber0 @ SV244 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV241 = SV244 )
| ~ ( sdtlseqdt0 @ SV241 @ SV244 )
| ( ( sdtasdt0 @ SV241 @ SV179 )
!= ( sdtasdt0 @ SV244 @ SV179 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2576]) ).
thf(2624,plain,
! [SV179: $i] :
( ( ! [SY273: $i,SY274: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY273 )
| ~ ( aNaturalNumber0 @ SY274 )
| ( SV179 = sz00 )
| ( SY273 = SY274 )
| ~ ( sdtlseqdt0 @ SY273 @ SY274 )
| ( ( sdtasdt0 @ SV179 @ SY273 )
!= ( sdtasdt0 @ SV179 @ SY274 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2577]) ).
thf(2625,plain,
! [SV179: $i] :
( ( ! [SY275: $i,SY276: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SY275 )
| ~ ( aNaturalNumber0 @ SY276 )
| ( SV179 = sz00 )
| ( SY275 = SY276 )
| ~ ( sdtlseqdt0 @ SY275 @ SY276 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SY275 ) @ ( sdtasdt0 @ SV179 @ SY276 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2578]) ).
thf(2626,plain,
! [SV234: $i,SV227: $i,SV179: $i] :
( ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV227 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV234 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV227 = SV234 )
| ~ ( sdtlseqdt0 @ SV227 @ SV234 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV227 @ SV179 ) @ ( sdtasdt0 @ SV234 @ SV179 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2579]) ).
thf(2627,plain,
! [SV228: $i,SV212: $i] :
( ( ( ( ( sdtpldt0 @ SV212 @ SV228 )
!= sz00 ) )
= $true )
| ( ( SV212 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV212 )
= $false )
| ( ( aNaturalNumber0 @ SV228 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2580]) ).
thf(2628,plain,
! [SV229: $i,SV213: $i] :
( ( ( ( ( sdtpldt0 @ SV213 @ SV229 )
!= sz00 ) )
= $true )
| ( ( SV229 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV213 )
= $false )
| ( ( aNaturalNumber0 @ SV229 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2581]) ).
thf(2629,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ~ ( ~ ! [SY339: $i] :
( ~ ( aNaturalNumber0 @ SY339 )
| ( ( sdtpldt0 @ SV180 @ SY339 )
!= ( sdtpldt0 @ SV201 @ SY339 ) ) )
| ~ ~ ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) )
| ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) ) )
| ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY342 ) @ ( sdtpldt0 @ SV201 @ SY342 ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2582]) ).
thf(2630,plain,
! [SV181: $i] :
( ( ~ ( ~ ! [SY284: $i,SY285: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY284 )
| ~ ( aNaturalNumber0 @ SY285 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY285
!= ( sdtasdt0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ SY285 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= SY285 ) ) ) )
| ( SY285 = sz00 )
| ( SY285 = sz10 )
| ! [SY286: $i] :
( ( ( sdtasdt0 @ SV181 @ SY284 )
!= ( sdtasdt0 @ SY285 @ SY286 ) )
| ~ ( aNaturalNumber0 @ SY286 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY284 ) @ SY285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY285 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( ( SY284
!= ( sdtasdt0 @ SY285 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) ) )
| ~ ! [SY287: $i,SY288: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( aNaturalNumber0 @ SY288 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY288
!= ( sdtasdt0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ SY288 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= SY288 ) ) ) )
| ( SY288 = sz00 )
| ( SY288 = sz10 )
| ! [SY289: $i] :
( ( ( sdtasdt0 @ SV181 @ SY287 )
!= ( sdtasdt0 @ SY288 @ SY289 ) )
| ~ ( aNaturalNumber0 @ SY289 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY287 ) @ SY288 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY288 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ( doDivides0 @ SY288 @ SY287 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2583]) ).
thf(2631,plain,
! [SV181: $i] :
( ( ~ ( ~ ! [SY290: $i,SY291: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( aNaturalNumber0 @ SY291 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY291
!= ( sdtasdt0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ SY291 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= SY291 ) ) ) )
| ( SY291 = sz00 )
| ( SY291 = sz10 )
| ! [SY292: $i] :
( ( ( sdtasdt0 @ SV181 @ SY290 )
!= ( sdtasdt0 @ SY291 @ SY292 ) )
| ~ ( aNaturalNumber0 @ SY292 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY290 ) @ SY291 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY291 @ SV181 )
| ~ ( ( SY290
!= ( sdtasdt0 @ SY291 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) ) )
| ~ ! [SY293: $i,SY294: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( aNaturalNumber0 @ SY294 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY294
!= ( sdtasdt0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ SY294 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= SY294 ) ) ) )
| ( SY294 = sz00 )
| ( SY294 = sz10 )
| ! [SY295: $i] :
( ( ( sdtasdt0 @ SV181 @ SY293 )
!= ( sdtasdt0 @ SY294 @ SY295 ) )
| ~ ( aNaturalNumber0 @ SY295 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY293 ) @ SY294 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY294 @ SV181 )
| ( doDivides0 @ SY294 @ SY293 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2584]) ).
thf(2632,plain,
! [SV181: $i] :
( ( ~ ( ~ ! [SY296: $i,SY297: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( aNaturalNumber0 @ SY297 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY297
!= ( sdtasdt0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ SY297 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= SY297 ) ) ) )
| ( SY297 = sz00 )
| ( SY297 = sz10 )
| ~ ( doDivides0 @ SY297 @ ( sdtasdt0 @ SV181 @ SY296 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY296 ) @ SY297 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY297 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( ( SY296
!= ( sdtasdt0 @ SY297 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) ) )
| ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ( doDivides0 @ SY299 @ SY298 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2585]) ).
thf(2633,plain,
! [SV181: $i] :
( ( ~ ( ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 ) )
| ( doDivides0 @ SY301 @ SV181 )
| ~ ( ( SY300
!= ( sdtasdt0 @ SY301 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) ) )
| ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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 )
| ( doDivides0 @ SY303 @ SY302 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2586]) ).
thf(2634,plain,
! [SV181: $i] :
( ( ~ ( ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( isPrime0 @ SY305 )
| ! [SY306: $i] :
( ( ( sdtasdt0 @ SV181 @ SY304 )
!= ( sdtasdt0 @ SY305 @ SY306 ) )
| ~ ( aNaturalNumber0 @ SY306 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY305 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( ( SY304
!= ( sdtasdt0 @ SY305 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) ) )
| ~ ! [SY307: $i,SY308: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( aNaturalNumber0 @ SY308 )
| ~ ( isPrime0 @ SY308 )
| ! [SY309: $i] :
( ( ( sdtasdt0 @ SV181 @ SY307 )
!= ( sdtasdt0 @ SY308 @ SY309 ) )
| ~ ( aNaturalNumber0 @ SY309 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY307 ) @ SY308 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY308 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ( doDivides0 @ SY308 @ SY307 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2587]) ).
thf(2635,plain,
! [SV181: $i] :
( ( ~ ( ~ ! [SY310: $i,SY311: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( aNaturalNumber0 @ SY311 )
| ~ ( isPrime0 @ SY311 )
| ! [SY312: $i] :
( ( ( sdtasdt0 @ SV181 @ SY310 )
!= ( sdtasdt0 @ SY311 @ SY312 ) )
| ~ ( aNaturalNumber0 @ SY312 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY310 ) @ SY311 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY311 @ SV181 )
| ~ ( ( SY310
!= ( sdtasdt0 @ SY311 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) ) )
| ~ ! [SY313: $i,SY314: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( aNaturalNumber0 @ SY314 )
| ~ ( isPrime0 @ SY314 )
| ! [SY315: $i] :
( ( ( sdtasdt0 @ SV181 @ SY313 )
!= ( sdtasdt0 @ SY314 @ SY315 ) )
| ~ ( aNaturalNumber0 @ SY315 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY313 ) @ SY314 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY314 @ SV181 )
| ( doDivides0 @ SY314 @ SY313 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2588]) ).
thf(2636,plain,
! [SV181: $i] :
( ( ~ ( ~ ! [SY316: $i,SY317: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( aNaturalNumber0 @ SY317 )
| ~ ( isPrime0 @ SY317 )
| ~ ( doDivides0 @ SY317 @ ( sdtasdt0 @ SV181 @ SY316 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY316 ) @ SY317 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY317 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( ( SY316
!= ( sdtasdt0 @ SY317 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) ) )
| ~ ! [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 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ( doDivides0 @ SY319 @ SY318 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2589]) ).
thf(2637,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 ) )
| ( doDivides0 @ SY321 @ SV181 )
| ~ ( ( SY320
!= ( sdtasdt0 @ SY321 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) ) )
| ~ ! [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 )
| ( doDivides0 @ SY323 @ SY322 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2590]) ).
thf(2638,plain,
! [SV235: $i,SV230: $i,SV182: $i] :
( ( ( aNaturalNumber0 @ SV182 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV230 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV235 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV182 @ SV230 )
!= ( sdtpldt0 @ SV182 @ SV235 ) )
| ( SV230 = SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2592]) ).
thf(2639,plain,
! [SV236: $i,SV231: $i,SV182: $i] :
( ( ( aNaturalNumber0 @ SV182 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV231 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV236 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV231 @ SV182 )
!= ( sdtpldt0 @ SV236 @ SV182 ) )
| ( SV231 = SV236 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2593]) ).
thf(2640,plain,
( ( xm = xp )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2594]) ).
thf(2641,plain,
( ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
| ~ ( sdtlseqdt0 @ xn @ xp ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2595]) ).
thf(2642,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)],[2598]) ).
thf(2643,plain,
! [SV183: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK1_W1 @ SV183 ) ) )
= $false )
| ( ( SV183 = sz10 )
= $true )
| ( ( SV183 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV183 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2602]) ).
thf(2644,plain,
! [SV183: $i] :
( ( ( ~ ( doDivides0 @ ( sK1_W1 @ SV183 ) @ SV183 ) )
= $false )
| ( ( SV183 = sz10 )
= $true )
| ( ( SV183 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV183 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2602]) ).
thf(2645,plain,
! [SV237: $i,SV232: $i,SV184: $i] :
( ( ( aNaturalNumber0 @ SV184 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV232 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV237 ) )
= $true )
| ( ( ( sdtasdt0 @ SV184 @ ( sdtpldt0 @ SV232 @ SV237 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV184 @ SV232 ) @ ( sdtasdt0 @ SV184 @ SV237 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2603]) ).
thf(2646,plain,
! [SV238: $i,SV233: $i,SV184: $i] :
( ( ( aNaturalNumber0 @ SV184 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV233 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV238 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SV238 ) @ SV184 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV184 ) @ ( sdtasdt0 @ SV238 @ SV184 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2604]) ).
thf(2647,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)],[2610]) ).
thf(2648,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)],[2611]) ).
thf(2649,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)],[2612]) ).
thf(2650,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)],[2613]) ).
thf(2651,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)],[2614]) ).
thf(2652,plain,
! [SV209: $i,SV225: $i] :
( ( ( SV225 = SV209 )
= $false )
| ( ( sdtlseqdt0 @ SV209 @ SV225 )
= $true )
| ( ( aNaturalNumber0 @ SV209 )
= $false )
| ( ( aNaturalNumber0 @ SV225 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2615]) ).
thf(2653,plain,
! [SV246: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV246 )
| ! [SY355: $i] :
( ( xr
!= ( sdtasdt0 @ SV246 @ SY355 ) )
| ~ ( aNaturalNumber0 @ SY355 ) ) )
= $true )
| ( ( ( SV246 = sz10 )
| ( SV246 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2617]) ).
thf(2654,plain,
! [SV247: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV247 )
| ~ ( doDivides0 @ SV247 @ xr ) )
= $true )
| ( ( ( SV247 = sz10 )
| ( SV247 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2618]) ).
thf(2655,plain,
( ( ~ ( ( xr != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2620]) ).
thf(2656,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2620]) ).
thf(2657,plain,
! [SV178: $i,SV242: $i,SV239: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV239 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV242 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV178 @ SV239 )
!= ( sdtasdt0 @ SV178 @ SV242 ) )
| ( SV239 = SV242 ) )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2621]) ).
thf(2658,plain,
! [SV178: $i,SV243: $i,SV240: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV240 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV243 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV240 @ SV178 )
!= ( sdtasdt0 @ SV243 @ SV178 ) )
| ( SV240 = SV243 ) )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2622]) ).
thf(2659,plain,
! [SV244: $i,SV241: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV241 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV244 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV241 = SV244 )
| ~ ( sdtlseqdt0 @ SV241 @ SV244 )
| ( ( sdtasdt0 @ SV241 @ SV179 )
!= ( sdtasdt0 @ SV244 @ SV179 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2623]) ).
thf(2660,plain,
! [SV248: $i,SV179: $i] :
( ( ! [SY356: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV248 )
| ~ ( aNaturalNumber0 @ SY356 )
| ( SV179 = sz00 )
| ( SV248 = SY356 )
| ~ ( sdtlseqdt0 @ SV248 @ SY356 )
| ( ( sdtasdt0 @ SV179 @ SV248 )
!= ( sdtasdt0 @ SV179 @ SY356 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2624]) ).
thf(2661,plain,
! [SV249: $i,SV179: $i] :
( ( ! [SY357: $i] :
( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV249 )
| ~ ( aNaturalNumber0 @ SY357 )
| ( SV179 = sz00 )
| ( SV249 = SY357 )
| ~ ( sdtlseqdt0 @ SV249 @ SY357 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SV249 ) @ ( sdtasdt0 @ SV179 @ SY357 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2625]) ).
thf(2662,plain,
! [SV234: $i,SV179: $i,SV227: $i] :
( ( ( aNaturalNumber0 @ SV227 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV234 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV227 = SV234 )
| ~ ( sdtlseqdt0 @ SV227 @ SV234 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV227 @ SV179 ) @ ( sdtasdt0 @ SV234 @ SV179 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2626]) ).
thf(2663,plain,
! [SV228: $i,SV212: $i] :
( ( ( ( sdtpldt0 @ SV212 @ SV228 )
= sz00 )
= $false )
| ( ( SV212 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV212 )
= $false )
| ( ( aNaturalNumber0 @ SV228 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2627]) ).
thf(2664,plain,
! [SV229: $i,SV213: $i] :
( ( ( ( sdtpldt0 @ SV213 @ SV229 )
= sz00 )
= $false )
| ( ( SV229 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV213 )
= $false )
| ( ( aNaturalNumber0 @ SV229 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2628]) ).
thf(2665,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ~ ( ~ ! [SY339: $i] :
( ~ ( aNaturalNumber0 @ SY339 )
| ( ( sdtpldt0 @ SV180 @ SY339 )
!= ( sdtpldt0 @ SV201 @ SY339 ) ) )
| ~ ~ ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) )
| ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2629]) ).
thf(2666,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY342 ) @ ( sdtpldt0 @ SV201 @ SY342 ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2629]) ).
thf(2667,plain,
! [SV181: $i] :
( ( ~ ! [SY284: $i,SY285: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY284 )
| ~ ( aNaturalNumber0 @ SY285 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY285
!= ( sdtasdt0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ SY285 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= SY285 ) ) ) )
| ( SY285 = sz00 )
| ( SY285 = sz10 )
| ! [SY286: $i] :
( ( ( sdtasdt0 @ SV181 @ SY284 )
!= ( sdtasdt0 @ SY285 @ SY286 ) )
| ~ ( aNaturalNumber0 @ SY286 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY284 ) @ SY285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY285 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( ( SY284
!= ( sdtasdt0 @ SY285 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) ) )
| ~ ! [SY287: $i,SY288: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( aNaturalNumber0 @ SY288 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY288
!= ( sdtasdt0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ SY288 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= SY288 ) ) ) )
| ( SY288 = sz00 )
| ( SY288 = sz10 )
| ! [SY289: $i] :
( ( ( sdtasdt0 @ SV181 @ SY287 )
!= ( sdtasdt0 @ SY288 @ SY289 ) )
| ~ ( aNaturalNumber0 @ SY289 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY287 ) @ SY288 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY288 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ( doDivides0 @ SY288 @ SY287 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2630]) ).
thf(2668,plain,
! [SV181: $i] :
( ( ~ ! [SY290: $i,SY291: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( aNaturalNumber0 @ SY291 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY291
!= ( sdtasdt0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ SY291 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= SY291 ) ) ) )
| ( SY291 = sz00 )
| ( SY291 = sz10 )
| ! [SY292: $i] :
( ( ( sdtasdt0 @ SV181 @ SY290 )
!= ( sdtasdt0 @ SY291 @ SY292 ) )
| ~ ( aNaturalNumber0 @ SY292 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY290 ) @ SY291 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY291 @ SV181 )
| ~ ( ( SY290
!= ( sdtasdt0 @ SY291 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) ) )
| ~ ! [SY293: $i,SY294: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( aNaturalNumber0 @ SY294 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY294
!= ( sdtasdt0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ SY294 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= SY294 ) ) ) )
| ( SY294 = sz00 )
| ( SY294 = sz10 )
| ! [SY295: $i] :
( ( ( sdtasdt0 @ SV181 @ SY293 )
!= ( sdtasdt0 @ SY294 @ SY295 ) )
| ~ ( aNaturalNumber0 @ SY295 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY293 ) @ SY294 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY294 @ SV181 )
| ( doDivides0 @ SY294 @ SY293 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2631]) ).
thf(2669,plain,
! [SV181: $i] :
( ( ~ ! [SY296: $i,SY297: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( aNaturalNumber0 @ SY297 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY297
!= ( sdtasdt0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ SY297 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= SY297 ) ) ) )
| ( SY297 = sz00 )
| ( SY297 = sz10 )
| ~ ( doDivides0 @ SY297 @ ( sdtasdt0 @ SV181 @ SY296 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY296 ) @ SY297 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY297 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( ( SY296
!= ( sdtasdt0 @ SY297 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) ) )
| ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ( doDivides0 @ SY299 @ SY298 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2632]) ).
thf(2670,plain,
! [SV181: $i] :
( ( ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 ) )
| ( doDivides0 @ SY301 @ SV181 )
| ~ ( ( SY300
!= ( sdtasdt0 @ SY301 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) ) )
| ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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 )
| ( doDivides0 @ SY303 @ SY302 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2633]) ).
thf(2671,plain,
! [SV181: $i] :
( ( ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( isPrime0 @ SY305 )
| ! [SY306: $i] :
( ( ( sdtasdt0 @ SV181 @ SY304 )
!= ( sdtasdt0 @ SY305 @ SY306 ) )
| ~ ( aNaturalNumber0 @ SY306 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY305 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( ( SY304
!= ( sdtasdt0 @ SY305 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) ) )
| ~ ! [SY307: $i,SY308: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( aNaturalNumber0 @ SY308 )
| ~ ( isPrime0 @ SY308 )
| ! [SY309: $i] :
( ( ( sdtasdt0 @ SV181 @ SY307 )
!= ( sdtasdt0 @ SY308 @ SY309 ) )
| ~ ( aNaturalNumber0 @ SY309 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY307 ) @ SY308 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY308 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ( doDivides0 @ SY308 @ SY307 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2634]) ).
thf(2672,plain,
! [SV181: $i] :
( ( ~ ! [SY310: $i,SY311: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( aNaturalNumber0 @ SY311 )
| ~ ( isPrime0 @ SY311 )
| ! [SY312: $i] :
( ( ( sdtasdt0 @ SV181 @ SY310 )
!= ( sdtasdt0 @ SY311 @ SY312 ) )
| ~ ( aNaturalNumber0 @ SY312 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY310 ) @ SY311 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY311 @ SV181 )
| ~ ( ( SY310
!= ( sdtasdt0 @ SY311 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) ) )
| ~ ! [SY313: $i,SY314: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( aNaturalNumber0 @ SY314 )
| ~ ( isPrime0 @ SY314 )
| ! [SY315: $i] :
( ( ( sdtasdt0 @ SV181 @ SY313 )
!= ( sdtasdt0 @ SY314 @ SY315 ) )
| ~ ( aNaturalNumber0 @ SY315 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY313 ) @ SY314 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY314 @ SV181 )
| ( doDivides0 @ SY314 @ SY313 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2635]) ).
thf(2673,plain,
! [SV181: $i] :
( ( ~ ! [SY316: $i,SY317: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( aNaturalNumber0 @ SY317 )
| ~ ( isPrime0 @ SY317 )
| ~ ( doDivides0 @ SY317 @ ( sdtasdt0 @ SV181 @ SY316 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY316 ) @ SY317 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY317 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( ( SY316
!= ( sdtasdt0 @ SY317 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) ) )
| ~ ! [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 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ( doDivides0 @ SY319 @ SY318 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2636]) ).
thf(2674,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 ) )
| ( doDivides0 @ SY321 @ SV181 )
| ~ ( ( SY320
!= ( sdtasdt0 @ SY321 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) ) )
| ~ ! [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 )
| ( doDivides0 @ SY323 @ SY322 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2637]) ).
thf(2675,plain,
! [SV235: $i,SV182: $i,SV230: $i] :
( ( ( aNaturalNumber0 @ SV230 )
= $false )
| ( ( aNaturalNumber0 @ SV182 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV235 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV182 @ SV230 )
!= ( sdtpldt0 @ SV182 @ SV235 ) )
| ( SV230 = SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2638]) ).
thf(2676,plain,
! [SV236: $i,SV182: $i,SV231: $i] :
( ( ( aNaturalNumber0 @ SV231 )
= $false )
| ( ( aNaturalNumber0 @ SV182 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV236 ) )
= $true )
| ( ( ( ( sdtpldt0 @ SV231 @ SV182 )
!= ( sdtpldt0 @ SV236 @ SV182 ) )
| ( SV231 = SV236 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2639]) ).
thf(2677,plain,
( ( ~ ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2641]) ).
thf(2678,plain,
( ( ~ ( sdtlseqdt0 @ xn @ xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2641]) ).
thf(2679,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)],[2642]) ).
thf(2680,plain,
( ( ~ ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2642]) ).
thf(2681,plain,
! [SV183: $i] :
( ( ( aNaturalNumber0 @ ( sK1_W1 @ SV183 ) )
= $true )
| ( ( SV183 = sz10 )
= $true )
| ( ( SV183 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV183 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2643]) ).
thf(2682,plain,
! [SV183: $i] :
( ( ( doDivides0 @ ( sK1_W1 @ SV183 ) @ SV183 )
= $true )
| ( ( SV183 = sz10 )
= $true )
| ( ( SV183 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV183 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2644]) ).
thf(2683,plain,
! [SV237: $i,SV184: $i,SV232: $i] :
( ( ( aNaturalNumber0 @ SV232 )
= $false )
| ( ( aNaturalNumber0 @ SV184 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV237 ) )
= $true )
| ( ( ( sdtasdt0 @ SV184 @ ( sdtpldt0 @ SV232 @ SV237 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV184 @ SV232 ) @ ( sdtasdt0 @ SV184 @ SV237 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2645]) ).
thf(2684,plain,
! [SV238: $i,SV184: $i,SV233: $i] :
( ( ( aNaturalNumber0 @ SV233 )
= $false )
| ( ( aNaturalNumber0 @ SV184 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV238 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SV238 ) @ SV184 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV184 ) @ ( sdtasdt0 @ SV238 @ SV184 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2646]) ).
thf(2685,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)],[2647]) ).
thf(2686,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)],[2648]) ).
thf(2687,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)],[2649]) ).
thf(2688,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)],[2650]) ).
thf(2689,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)],[2651]) ).
thf(2690,plain,
! [SV246: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV246 ) )
= $true )
| ( ( ! [SY355: $i] :
( ( xr
!= ( sdtasdt0 @ SV246 @ SY355 ) )
| ~ ( aNaturalNumber0 @ SY355 ) ) )
= $true )
| ( ( ( SV246 = sz10 )
| ( SV246 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2653]) ).
thf(2691,plain,
! [SV247: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV247 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV247 @ xr ) )
= $true )
| ( ( ( SV247 = sz10 )
| ( SV247 = xr ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2654]) ).
thf(2692,plain,
( ( ( xr != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2655]) ).
thf(2693,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2656]) ).
thf(2694,plain,
! [SV178: $i,SV242: $i,SV239: $i] :
( ( ( aNaturalNumber0 @ SV239 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV242 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV178 @ SV239 )
!= ( sdtasdt0 @ SV178 @ SV242 ) )
| ( SV239 = SV242 ) )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2657]) ).
thf(2695,plain,
! [SV178: $i,SV243: $i,SV240: $i] :
( ( ( aNaturalNumber0 @ SV240 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV243 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV240 @ SV178 )
!= ( sdtasdt0 @ SV243 @ SV178 ) )
| ( SV240 = SV243 ) )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2658]) ).
thf(2696,plain,
! [SV244: $i,SV241: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV241 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV244 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV241 = SV244 )
| ~ ( sdtlseqdt0 @ SV241 @ SV244 )
| ( ( sdtasdt0 @ SV241 @ SV179 )
!= ( sdtasdt0 @ SV244 @ SV179 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2659]) ).
thf(2697,plain,
! [SV250: $i,SV248: $i,SV179: $i] :
( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV248 )
| ~ ( aNaturalNumber0 @ SV250 )
| ( SV179 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 )
| ( ( sdtasdt0 @ SV179 @ SV248 )
!= ( sdtasdt0 @ SV179 @ SV250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2660]) ).
thf(2698,plain,
! [SV251: $i,SV249: $i,SV179: $i] :
( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV249 )
| ~ ( aNaturalNumber0 @ SV251 )
| ( SV179 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SV249 ) @ ( sdtasdt0 @ SV179 @ SV251 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2661]) ).
thf(2699,plain,
! [SV227: $i,SV179: $i,SV234: $i] :
( ( ( aNaturalNumber0 @ SV234 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV227 )
= $false )
| ( ( ( SV179 = sz00 )
| ( SV227 = SV234 )
| ~ ( sdtlseqdt0 @ SV227 @ SV234 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV227 @ SV179 ) @ ( sdtasdt0 @ SV234 @ SV179 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2662]) ).
thf(2700,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ( ~ ! [SY339: $i] :
( ~ ( aNaturalNumber0 @ SY339 )
| ( ( sdtpldt0 @ SV180 @ SY339 )
!= ( sdtpldt0 @ SV201 @ SY339 ) ) )
| ~ ~ ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) )
| ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2665]) ).
thf(2701,plain,
! [SV201: $i,SV180: $i] :
( ( ( ! [SY342: $i] :
( ~ ( aNaturalNumber0 @ SY342 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SV180 @ SY342 ) @ ( sdtpldt0 @ SV201 @ SY342 ) ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2666]) ).
thf(2702,plain,
! [SV181: $i] :
( ( ~ ! [SY284: $i,SY285: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY284 )
| ~ ( aNaturalNumber0 @ SY285 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY285
!= ( sdtasdt0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ SY285 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= SY285 ) ) ) )
| ( SY285 = sz00 )
| ( SY285 = sz10 )
| ! [SY286: $i] :
( ( ( sdtasdt0 @ SV181 @ SY284 )
!= ( sdtasdt0 @ SY285 @ SY286 ) )
| ~ ( aNaturalNumber0 @ SY286 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY284 ) @ SY285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY285 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( ( SY284
!= ( sdtasdt0 @ SY285 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2667]) ).
thf(2703,plain,
! [SV181: $i] :
( ( ~ ! [SY287: $i,SY288: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( aNaturalNumber0 @ SY288 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY288
!= ( sdtasdt0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ SY288 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= SY288 ) ) ) )
| ( SY288 = sz00 )
| ( SY288 = sz10 )
| ! [SY289: $i] :
( ( ( sdtasdt0 @ SV181 @ SY287 )
!= ( sdtasdt0 @ SY288 @ SY289 ) )
| ~ ( aNaturalNumber0 @ SY289 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY287 ) @ SY288 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY288 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ( doDivides0 @ SY288 @ SY287 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2667]) ).
thf(2704,plain,
! [SV181: $i] :
( ( ~ ! [SY290: $i,SY291: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( aNaturalNumber0 @ SY291 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY291
!= ( sdtasdt0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ SY291 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= SY291 ) ) ) )
| ( SY291 = sz00 )
| ( SY291 = sz10 )
| ! [SY292: $i] :
( ( ( sdtasdt0 @ SV181 @ SY290 )
!= ( sdtasdt0 @ SY291 @ SY292 ) )
| ~ ( aNaturalNumber0 @ SY292 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY290 ) @ SY291 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY291 @ SV181 )
| ~ ( ( SY290
!= ( sdtasdt0 @ SY291 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2668]) ).
thf(2705,plain,
! [SV181: $i] :
( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( aNaturalNumber0 @ SY294 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY294
!= ( sdtasdt0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ SY294 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= SY294 ) ) ) )
| ( SY294 = sz00 )
| ( SY294 = sz10 )
| ! [SY295: $i] :
( ( ( sdtasdt0 @ SV181 @ SY293 )
!= ( sdtasdt0 @ SY294 @ SY295 ) )
| ~ ( aNaturalNumber0 @ SY295 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY293 ) @ SY294 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY294 @ SV181 )
| ( doDivides0 @ SY294 @ SY293 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2668]) ).
thf(2706,plain,
! [SV181: $i] :
( ( ~ ! [SY296: $i,SY297: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( aNaturalNumber0 @ SY297 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY297
!= ( sdtasdt0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ SY297 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= SY297 ) ) ) )
| ( SY297 = sz00 )
| ( SY297 = sz10 )
| ~ ( doDivides0 @ SY297 @ ( sdtasdt0 @ SV181 @ SY296 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY296 ) @ SY297 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY297 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( ( SY296
!= ( sdtasdt0 @ SY297 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2669]) ).
thf(2707,plain,
! [SV181: $i] :
( ( ~ ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ( doDivides0 @ SY299 @ SY298 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2669]) ).
thf(2708,plain,
! [SV181: $i] :
( ( ~ ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 ) )
| ( doDivides0 @ SY301 @ SV181 )
| ~ ( ( SY300
!= ( sdtasdt0 @ SY301 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2670]) ).
thf(2709,plain,
! [SV181: $i] :
( ( ~ ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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 )
| ( doDivides0 @ SY303 @ SY302 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2670]) ).
thf(2710,plain,
! [SV181: $i] :
( ( ~ ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( isPrime0 @ SY305 )
| ! [SY306: $i] :
( ( ( sdtasdt0 @ SV181 @ SY304 )
!= ( sdtasdt0 @ SY305 @ SY306 ) )
| ~ ( aNaturalNumber0 @ SY306 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY305 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( ( SY304
!= ( sdtasdt0 @ SY305 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2671]) ).
thf(2711,plain,
! [SV181: $i] :
( ( ~ ! [SY307: $i,SY308: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( aNaturalNumber0 @ SY308 )
| ~ ( isPrime0 @ SY308 )
| ! [SY309: $i] :
( ( ( sdtasdt0 @ SV181 @ SY307 )
!= ( sdtasdt0 @ SY308 @ SY309 ) )
| ~ ( aNaturalNumber0 @ SY309 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY307 ) @ SY308 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY308 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ( doDivides0 @ SY308 @ SY307 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2671]) ).
thf(2712,plain,
! [SV181: $i] :
( ( ~ ! [SY310: $i,SY311: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( aNaturalNumber0 @ SY311 )
| ~ ( isPrime0 @ SY311 )
| ! [SY312: $i] :
( ( ( sdtasdt0 @ SV181 @ SY310 )
!= ( sdtasdt0 @ SY311 @ SY312 ) )
| ~ ( aNaturalNumber0 @ SY312 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY310 ) @ SY311 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY311 @ SV181 )
| ~ ( ( SY310
!= ( sdtasdt0 @ SY311 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2672]) ).
thf(2713,plain,
! [SV181: $i] :
( ( ~ ! [SY313: $i,SY314: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( aNaturalNumber0 @ SY314 )
| ~ ( isPrime0 @ SY314 )
| ! [SY315: $i] :
( ( ( sdtasdt0 @ SV181 @ SY313 )
!= ( sdtasdt0 @ SY314 @ SY315 ) )
| ~ ( aNaturalNumber0 @ SY315 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY313 ) @ SY314 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY314 @ SV181 )
| ( doDivides0 @ SY314 @ SY313 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2672]) ).
thf(2714,plain,
! [SV181: $i] :
( ( ~ ! [SY316: $i,SY317: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( aNaturalNumber0 @ SY317 )
| ~ ( isPrime0 @ SY317 )
| ~ ( doDivides0 @ SY317 @ ( sdtasdt0 @ SV181 @ SY316 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY316 ) @ SY317 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY317 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( ( SY316
!= ( sdtasdt0 @ SY317 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2673]) ).
thf(2715,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 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ( doDivides0 @ SY319 @ SY318 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2673]) ).
thf(2716,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 ) )
| ( doDivides0 @ SY321 @ SV181 )
| ~ ( ( SY320
!= ( sdtasdt0 @ SY321 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2674]) ).
thf(2717,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 )
| ( doDivides0 @ SY323 @ SY322 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2674]) ).
thf(2718,plain,
! [SV230: $i,SV182: $i,SV235: $i] :
( ( ( aNaturalNumber0 @ SV235 )
= $false )
| ( ( aNaturalNumber0 @ SV182 )
= $false )
| ( ( aNaturalNumber0 @ SV230 )
= $false )
| ( ( ( ( sdtpldt0 @ SV182 @ SV230 )
!= ( sdtpldt0 @ SV182 @ SV235 ) )
| ( SV230 = SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2675]) ).
thf(2719,plain,
! [SV231: $i,SV182: $i,SV236: $i] :
( ( ( aNaturalNumber0 @ SV236 )
= $false )
| ( ( aNaturalNumber0 @ SV182 )
= $false )
| ( ( aNaturalNumber0 @ SV231 )
= $false )
| ( ( ( ( sdtpldt0 @ SV231 @ SV182 )
!= ( sdtpldt0 @ SV236 @ SV182 ) )
| ( SV231 = SV236 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2676]) ).
thf(2720,plain,
( ( ~ ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2677]) ).
thf(2721,plain,
( ( sdtlseqdt0 @ xn @ xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2678]) ).
thf(2722,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)],[2679]) ).
thf(2723,plain,
( ( ~ ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2680]) ).
thf(2724,plain,
! [SV232: $i,SV184: $i,SV237: $i] :
( ( ( aNaturalNumber0 @ SV237 )
= $false )
| ( ( aNaturalNumber0 @ SV184 )
= $false )
| ( ( aNaturalNumber0 @ SV232 )
= $false )
| ( ( ( sdtasdt0 @ SV184 @ ( sdtpldt0 @ SV232 @ SV237 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV184 @ SV232 ) @ ( sdtasdt0 @ SV184 @ SV237 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2683]) ).
thf(2725,plain,
! [SV233: $i,SV184: $i,SV238: $i] :
( ( ( aNaturalNumber0 @ SV238 )
= $false )
| ( ( aNaturalNumber0 @ SV184 )
= $false )
| ( ( aNaturalNumber0 @ SV233 )
= $false )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV233 @ SV238 ) @ SV184 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV233 @ SV184 ) @ ( sdtasdt0 @ SV238 @ SV184 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2684]) ).
thf(2726,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)],[2685]) ).
thf(2727,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)],[2686]) ).
thf(2728,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)],[2687]) ).
thf(2729,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)],[2688]) ).
thf(2730,plain,
! [SV246: $i] :
( ( ( aNaturalNumber0 @ SV246 )
= $false )
| ( ( ! [SY355: $i] :
( ( xr
!= ( sdtasdt0 @ SV246 @ SY355 ) )
| ~ ( aNaturalNumber0 @ SY355 ) ) )
= $true )
| ( ( ( SV246 = sz10 )
| ( SV246 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2690]) ).
thf(2731,plain,
! [SV247: $i] :
( ( ( aNaturalNumber0 @ SV247 )
= $false )
| ( ( ~ ( doDivides0 @ SV247 @ xr ) )
= $true )
| ( ( ( SV247 = sz10 )
| ( SV247 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2691]) ).
thf(2732,plain,
( ( xr = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2692]) ).
thf(2733,plain,
( ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
| ~ ( doDivides0 @ xr @ xk ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2693]) ).
thf(2734,plain,
! [SV178: $i,SV239: $i,SV242: $i] :
( ( ( aNaturalNumber0 @ SV242 )
= $false )
| ( ( aNaturalNumber0 @ SV239 )
= $false )
| ( ( ( ( sdtasdt0 @ SV178 @ SV239 )
!= ( sdtasdt0 @ SV178 @ SV242 ) )
| ( SV239 = SV242 ) )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2694]) ).
thf(2735,plain,
! [SV178: $i,SV240: $i,SV243: $i] :
( ( ( aNaturalNumber0 @ SV243 )
= $false )
| ( ( aNaturalNumber0 @ SV240 )
= $false )
| ( ( ( ( sdtasdt0 @ SV240 @ SV178 )
!= ( sdtasdt0 @ SV243 @ SV178 ) )
| ( SV240 = SV243 ) )
= $true )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2695]) ).
thf(2736,plain,
! [SV244: $i,SV241: $i,SV179: $i] :
( ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV241 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV244 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV241 = SV244 )
| ~ ( sdtlseqdt0 @ SV241 @ SV244 )
| ( ( sdtasdt0 @ SV241 @ SV179 )
!= ( sdtasdt0 @ SV244 @ SV179 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2696]) ).
thf(2737,plain,
! [SV250: $i,SV248: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV248 )
| ~ ( aNaturalNumber0 @ SV250 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 )
| ( ( sdtasdt0 @ SV179 @ SV248 )
!= ( sdtasdt0 @ SV179 @ SV250 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2697]) ).
thf(2738,plain,
! [SV251: $i,SV249: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV249 )
| ~ ( aNaturalNumber0 @ SV251 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SV249 ) @ ( sdtasdt0 @ SV179 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2698]) ).
thf(2739,plain,
! [SV234: $i,SV227: $i,SV179: $i] :
( ( ( ( SV179 = sz00 )
| ( SV227 = SV234 )
| ~ ( sdtlseqdt0 @ SV227 @ SV234 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV227 @ SV179 ) @ ( sdtasdt0 @ SV234 @ SV179 ) )
= $true )
| ( ( aNaturalNumber0 @ SV227 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV234 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2699]) ).
thf(2740,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ! [SY339: $i] :
( ~ ( aNaturalNumber0 @ SY339 )
| ( ( sdtpldt0 @ SV180 @ SY339 )
!= ( sdtpldt0 @ SV201 @ SY339 ) ) )
| ~ ~ ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) )
| ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2700]) ).
thf(2741,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)],[2701]) ).
thf(2742,plain,
! [SV181: $i] :
( ( ! [SY284: $i,SY285: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY284 )
| ~ ( aNaturalNumber0 @ SY285 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY285
!= ( sdtasdt0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY285 @ SY284 @ SV181 ) @ SY285 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY285 @ SY284 @ SV181 )
!= SY285 ) ) ) )
| ( SY285 = sz00 )
| ( SY285 = sz10 )
| ! [SY286: $i] :
( ( ( sdtasdt0 @ SV181 @ SY284 )
!= ( sdtasdt0 @ SY285 @ SY286 ) )
| ~ ( aNaturalNumber0 @ SY286 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY284 ) @ SY285 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY285 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( ( SY284
!= ( sdtasdt0 @ SY285 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY285 @ SY284 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2702]) ).
thf(2743,plain,
! [SV181: $i] :
( ( ! [SY287: $i,SY288: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY287 )
| ~ ( aNaturalNumber0 @ SY288 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY288
!= ( sdtasdt0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY288 @ SY287 @ SV181 ) @ SY288 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY288 @ SY287 @ SV181 )
!= SY288 ) ) ) )
| ( SY288 = sz00 )
| ( SY288 = sz10 )
| ! [SY289: $i] :
( ( ( sdtasdt0 @ SV181 @ SY287 )
!= ( sdtasdt0 @ SY288 @ SY289 ) )
| ~ ( aNaturalNumber0 @ SY289 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY287 ) @ SY288 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY288 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY288 @ SY287 @ SV181 ) ) )
| ( doDivides0 @ SY288 @ SY287 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2703]) ).
thf(2744,plain,
! [SV181: $i] :
( ( ! [SY290: $i,SY291: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY290 )
| ~ ( aNaturalNumber0 @ SY291 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY291
!= ( sdtasdt0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY291 @ SY290 @ SV181 ) @ SY291 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY291 @ SY290 @ SV181 )
!= SY291 ) ) ) )
| ( SY291 = sz00 )
| ( SY291 = sz10 )
| ! [SY292: $i] :
( ( ( sdtasdt0 @ SV181 @ SY290 )
!= ( sdtasdt0 @ SY291 @ SY292 ) )
| ~ ( aNaturalNumber0 @ SY292 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY290 ) @ SY291 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY291 @ SV181 )
| ~ ( ( SY290
!= ( sdtasdt0 @ SY291 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY291 @ SY290 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2704]) ).
thf(2745,plain,
! [SV181: $i] :
( ( ! [SY293: $i,SY294: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY293 )
| ~ ( aNaturalNumber0 @ SY294 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY294
!= ( sdtasdt0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY294 @ SY293 @ SV181 ) @ SY294 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY294 @ SY293 @ SV181 )
!= SY294 ) ) ) )
| ( SY294 = sz00 )
| ( SY294 = sz10 )
| ! [SY295: $i] :
( ( ( sdtasdt0 @ SV181 @ SY293 )
!= ( sdtasdt0 @ SY294 @ SY295 ) )
| ~ ( aNaturalNumber0 @ SY295 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY293 ) @ SY294 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY294 @ SV181 )
| ( doDivides0 @ SY294 @ SY293 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2705]) ).
thf(2746,plain,
! [SV181: $i] :
( ( ! [SY296: $i,SY297: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY296 )
| ~ ( aNaturalNumber0 @ SY297 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY297
!= ( sdtasdt0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY297 @ SY296 @ SV181 ) @ SY297 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY297 @ SY296 @ SV181 )
!= SY297 ) ) ) )
| ( SY297 = sz00 )
| ( SY297 = sz10 )
| ~ ( doDivides0 @ SY297 @ ( sdtasdt0 @ SV181 @ SY296 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY296 ) @ SY297 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY297 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( ( SY296
!= ( sdtasdt0 @ SY297 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY297 @ SY296 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2706]) ).
thf(2747,plain,
! [SV181: $i] :
( ( ! [SY298: $i,SY299: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY298 )
| ~ ( aNaturalNumber0 @ SY299 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY299
!= ( sdtasdt0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY299 @ SY298 @ SV181 ) @ SY299 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY299 @ SY298 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY299 @ SY298 @ SV181 ) ) )
| ( doDivides0 @ SY299 @ SY298 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2707]) ).
thf(2748,plain,
! [SV181: $i] :
( ( ! [SY300: $i,SY301: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY300 )
| ~ ( aNaturalNumber0 @ SY301 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY301
!= ( sdtasdt0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY301 @ SY300 @ SV181 ) @ SY301 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY301 @ SY300 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 ) )
| ( doDivides0 @ SY301 @ SV181 )
| ~ ( ( SY300
!= ( sdtasdt0 @ SY301 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY301 @ SY300 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2708]) ).
thf(2749,plain,
! [SV181: $i] :
( ( ! [SY302: $i,SY303: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY302 )
| ~ ( aNaturalNumber0 @ SY303 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY303
!= ( sdtasdt0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY303 @ SY302 @ SV181 ) @ SY303 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY303 @ SY302 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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 )
| ( doDivides0 @ SY303 @ SY302 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2709]) ).
thf(2750,plain,
! [SV181: $i] :
( ( ! [SY304: $i,SY305: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY304 )
| ~ ( aNaturalNumber0 @ SY305 )
| ~ ( isPrime0 @ SY305 )
| ! [SY306: $i] :
( ( ( sdtasdt0 @ SV181 @ SY304 )
!= ( sdtasdt0 @ SY305 @ SY306 ) )
| ~ ( aNaturalNumber0 @ SY306 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY304 ) @ SY305 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY305 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( ( SY304
!= ( sdtasdt0 @ SY305 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY305 @ SY304 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2710]) ).
thf(2751,plain,
! [SV181: $i] :
( ( ! [SY307: $i,SY308: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY307 )
| ~ ( aNaturalNumber0 @ SY308 )
| ~ ( isPrime0 @ SY308 )
| ! [SY309: $i] :
( ( ( sdtasdt0 @ SV181 @ SY307 )
!= ( sdtasdt0 @ SY308 @ SY309 ) )
| ~ ( aNaturalNumber0 @ SY309 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY307 ) @ SY308 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY308 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY308 @ SY307 @ SV181 ) ) )
| ( doDivides0 @ SY308 @ SY307 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2711]) ).
thf(2752,plain,
! [SV181: $i] :
( ( ! [SY310: $i,SY311: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY310 )
| ~ ( aNaturalNumber0 @ SY311 )
| ~ ( isPrime0 @ SY311 )
| ! [SY312: $i] :
( ( ( sdtasdt0 @ SV181 @ SY310 )
!= ( sdtasdt0 @ SY311 @ SY312 ) )
| ~ ( aNaturalNumber0 @ SY312 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY310 ) @ SY311 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY311 @ SV181 )
| ~ ( ( SY310
!= ( sdtasdt0 @ SY311 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY311 @ SY310 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2712]) ).
thf(2753,plain,
! [SV181: $i] :
( ( ! [SY313: $i,SY314: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY313 )
| ~ ( aNaturalNumber0 @ SY314 )
| ~ ( isPrime0 @ SY314 )
| ! [SY315: $i] :
( ( ( sdtasdt0 @ SV181 @ SY313 )
!= ( sdtasdt0 @ SY314 @ SY315 ) )
| ~ ( aNaturalNumber0 @ SY315 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY313 ) @ SY314 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY314 @ SV181 )
| ( doDivides0 @ SY314 @ SY313 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2713]) ).
thf(2754,plain,
! [SV181: $i] :
( ( ! [SY316: $i,SY317: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SY316 )
| ~ ( aNaturalNumber0 @ SY317 )
| ~ ( isPrime0 @ SY317 )
| ~ ( doDivides0 @ SY317 @ ( sdtasdt0 @ SV181 @ SY316 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SY316 ) @ SY317 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY317 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( ( SY316
!= ( sdtasdt0 @ SY317 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY317 @ SY316 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2714]) ).
thf(2755,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 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY319 @ SY318 @ SV181 ) ) )
| ( doDivides0 @ SY319 @ SY318 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2715]) ).
thf(2756,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 ) )
| ( doDivides0 @ SY321 @ SV181 )
| ~ ( ( SY320
!= ( sdtasdt0 @ SY321 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY321 @ SY320 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2716]) ).
thf(2757,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 )
| ( doDivides0 @ SY323 @ SY322 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2717]) ).
thf(2758,plain,
! [SV235: $i,SV230: $i,SV182: $i] :
( ( ( ( ( sdtpldt0 @ SV182 @ SV230 )
!= ( sdtpldt0 @ SV182 @ SV235 ) ) )
= $true )
| ( ( SV230 = SV235 )
= $true )
| ( ( aNaturalNumber0 @ SV230 )
= $false )
| ( ( aNaturalNumber0 @ SV182 )
= $false )
| ( ( aNaturalNumber0 @ SV235 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2718]) ).
thf(2759,plain,
! [SV236: $i,SV182: $i,SV231: $i] :
( ( ( ( ( sdtpldt0 @ SV231 @ SV182 )
!= ( sdtpldt0 @ SV236 @ SV182 ) ) )
= $true )
| ( ( SV231 = SV236 )
= $true )
| ( ( aNaturalNumber0 @ SV231 )
= $false )
| ( ( aNaturalNumber0 @ SV182 )
= $false )
| ( ( aNaturalNumber0 @ SV236 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2719]) ).
thf(2760,plain,
( ( ~ ( ( xn != xp ) )
| ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2720]) ).
thf(2761,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)],[2722]) ).
thf(2762,plain,
( ( ~ ( ( xp != sz00 ) )
| ~ ( ( xp != sz10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2723]) ).
thf(2763,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)],[2730]) ).
thf(2764,plain,
! [SV247: $i] :
( ( ( doDivides0 @ SV247 @ xr )
= $false )
| ( ( aNaturalNumber0 @ SV247 )
= $false )
| ( ( ( SV247 = sz10 )
| ( SV247 = xr ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2731]) ).
thf(2765,plain,
( ( ~ ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2733]) ).
thf(2766,plain,
( ( ~ ( doDivides0 @ xr @ xk ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2733]) ).
thf(2767,plain,
! [SV242: $i,SV239: $i,SV178: $i] :
( ( ( ( ( sdtasdt0 @ SV178 @ SV239 )
!= ( sdtasdt0 @ SV178 @ SV242 ) ) )
= $true )
| ( ( SV239 = SV242 )
= $true )
| ( ( aNaturalNumber0 @ SV239 )
= $false )
| ( ( aNaturalNumber0 @ SV242 )
= $false )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2734]) ).
thf(2768,plain,
! [SV243: $i,SV178: $i,SV240: $i] :
( ( ( ( ( sdtasdt0 @ SV240 @ SV178 )
!= ( sdtasdt0 @ SV243 @ SV178 ) ) )
= $true )
| ( ( SV240 = SV243 )
= $true )
| ( ( aNaturalNumber0 @ SV240 )
= $false )
| ( ( aNaturalNumber0 @ SV243 )
= $false )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2735]) ).
thf(2769,plain,
! [SV244: $i,SV179: $i,SV241: $i] :
( ( ( aNaturalNumber0 @ SV241 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV244 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV241 = SV244 )
| ~ ( sdtlseqdt0 @ SV241 @ SV244 )
| ( ( sdtasdt0 @ SV241 @ SV179 )
!= ( sdtasdt0 @ SV244 @ SV179 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2736]) ).
thf(2770,plain,
! [SV250: $i,SV248: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV248 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV250 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 )
| ( ( sdtasdt0 @ SV179 @ SV248 )
!= ( sdtasdt0 @ SV179 @ SV250 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2737]) ).
thf(2771,plain,
! [SV251: $i,SV249: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 )
| ~ ( aNaturalNumber0 @ SV249 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV251 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SV249 ) @ ( sdtasdt0 @ SV179 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2738]) ).
thf(2772,plain,
! [SV234: $i,SV227: $i,SV179: $i] :
( ( ( ( SV179 = sz00 )
| ( SV227 = SV234 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV227 @ SV234 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV227 @ SV179 ) @ ( sdtasdt0 @ SV234 @ SV179 ) )
= $true )
| ( ( aNaturalNumber0 @ SV227 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV234 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2739]) ).
thf(2773,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ! [SY339: $i] :
( ~ ( aNaturalNumber0 @ SY339 )
| ( ( sdtpldt0 @ SV180 @ SY339 )
!= ( sdtpldt0 @ SV201 @ SY339 ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2740]) ).
thf(2774,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ~ ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) )
| ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2740]) ).
thf(2775,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)],[2741]) ).
thf(2776,plain,
! [SV254: $i,SV181: $i] :
( ( ! [SY358: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV254 )
| ~ ( aNaturalNumber0 @ SY358 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY358
!= ( sdtasdt0 @ ( sK38_W3 @ SY358 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SY358 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SY358 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SY358 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SY358 @ SV254 @ SV181 ) @ SY358 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SY358 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SY358 @ SV254 @ SV181 )
!= SY358 ) ) ) )
| ( SY358 = sz00 )
| ( SY358 = sz10 )
| ! [SY359: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SY358 @ SY359 ) )
| ~ ( aNaturalNumber0 @ SY359 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SY358 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY358 @ ( sK37_W3 @ SY358 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SY358 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SY358 @ ( sK36_W3 @ SY358 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SY358 @ SV254 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2742]) ).
thf(2777,plain,
! [SV255: $i,SV181: $i] :
( ( ! [SY360: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV255 )
| ~ ( aNaturalNumber0 @ SY360 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY360
!= ( sdtasdt0 @ ( sK34_W3 @ SY360 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SY360 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SY360 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SY360 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SY360 @ SV255 @ SV181 ) @ SY360 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SY360 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SY360 @ SV255 @ SV181 )
!= SY360 ) ) ) )
| ( SY360 = sz00 )
| ( SY360 = sz10 )
| ! [SY361: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SY360 @ SY361 ) )
| ~ ( aNaturalNumber0 @ SY361 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SY360 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY360 @ ( sK33_W3 @ SY360 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SY360 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SY360 @ SV255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2743]) ).
thf(2778,plain,
! [SV256: $i,SV181: $i] :
( ( ! [SY362: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV256 )
| ~ ( aNaturalNumber0 @ SY362 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY362
!= ( sdtasdt0 @ ( sK31_W3 @ SY362 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SY362 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SY362 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SY362 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SY362 @ SV256 @ SV181 ) @ SY362 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SY362 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SY362 @ SV256 @ SV181 )
!= SY362 ) ) ) )
| ( SY362 = sz00 )
| ( SY362 = sz10 )
| ! [SY363: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SY362 @ SY363 ) )
| ~ ( aNaturalNumber0 @ SY363 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SY362 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY362 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SY362 @ ( sK30_W3 @ SY362 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SY362 @ SV256 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2744]) ).
thf(2779,plain,
! [SV257: $i,SV181: $i] :
( ( ! [SY364: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV257 )
| ~ ( aNaturalNumber0 @ SY364 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY364
!= ( sdtasdt0 @ ( sK28_W3 @ SY364 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SY364 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SY364 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SY364 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SY364 @ SV257 @ SV181 ) @ SY364 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SY364 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SY364 @ SV257 @ SV181 )
!= SY364 ) ) ) )
| ( SY364 = sz00 )
| ( SY364 = sz10 )
| ! [SY365: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SY364 @ SY365 ) )
| ~ ( aNaturalNumber0 @ SY365 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SY364 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY364 @ SV181 )
| ( doDivides0 @ SY364 @ SV257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2745]) ).
thf(2780,plain,
! [SV258: $i,SV181: $i] :
( ( ! [SY366: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV258 )
| ~ ( aNaturalNumber0 @ SY366 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY366
!= ( sdtasdt0 @ ( sK26_W3 @ SY366 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SY366 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SY366 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SY366 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SY366 @ SV258 @ SV181 ) @ SY366 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SY366 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_W3 @ SY366 @ SV258 @ SV181 )
!= SY366 ) ) ) )
| ( SY366 = sz00 )
| ( SY366 = sz10 )
| ~ ( doDivides0 @ SY366 @ ( sdtasdt0 @ SV181 @ SV258 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SY366 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY366 @ ( sK25_W3 @ SY366 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SY366 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SY366 @ ( sK24_W3 @ SY366 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SY366 @ SV258 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2746]) ).
thf(2781,plain,
! [SV259: $i,SV181: $i] :
( ( ! [SY367: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV259 )
| ~ ( aNaturalNumber0 @ SY367 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY367
!= ( sdtasdt0 @ ( sK22_W3 @ SY367 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SY367 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SY367 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SY367 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SY367 @ SV259 @ SV181 ) @ SY367 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SY367 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_W3 @ SY367 @ SV259 @ SV181 )
!= SY367 ) ) ) )
| ( SY367 = sz00 )
| ( SY367 = sz10 )
| ~ ( doDivides0 @ SY367 @ ( sdtasdt0 @ SV181 @ SV259 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SY367 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY367 @ ( sK21_W3 @ SY367 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SY367 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SY367 @ SV259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2747]) ).
thf(2782,plain,
! [SV260: $i,SV181: $i] :
( ( ! [SY368: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV260 )
| ~ ( aNaturalNumber0 @ SY368 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY368
!= ( sdtasdt0 @ ( sK19_W3 @ SY368 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SY368 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SY368 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SY368 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SY368 @ SV260 @ SV181 ) @ SY368 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SY368 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_W3 @ SY368 @ SV260 @ SV181 )
!= SY368 ) ) ) )
| ( SY368 = sz00 )
| ( SY368 = sz10 )
| ~ ( doDivides0 @ SY368 @ ( sdtasdt0 @ SV181 @ SV260 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SY368 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY368 @ SV181 )
| ~ ( ( SV260
!= ( sdtasdt0 @ SY368 @ ( sK18_W3 @ SY368 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SY368 @ SV260 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2748]) ).
thf(2783,plain,
! [SV261: $i,SV181: $i] :
( ( ! [SY369: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV261 )
| ~ ( aNaturalNumber0 @ SY369 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SY369
!= ( sdtasdt0 @ ( sK16_W3 @ SY369 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SY369 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SY369 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SY369 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SY369 @ SV261 @ SV181 ) @ SY369 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SY369 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_W3 @ SY369 @ SV261 @ SV181 )
!= SY369 ) ) ) )
| ( SY369 = sz00 )
| ( SY369 = sz10 )
| ~ ( doDivides0 @ SY369 @ ( sdtasdt0 @ SV181 @ SV261 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV261 ) @ SY369 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY369 @ SV181 )
| ( doDivides0 @ SY369 @ SV261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2749]) ).
thf(2784,plain,
! [SV262: $i,SV181: $i] :
( ( ! [SY370: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV262 )
| ~ ( aNaturalNumber0 @ SY370 )
| ~ ( isPrime0 @ SY370 )
| ! [SY371: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SY370 @ SY371 ) )
| ~ ( aNaturalNumber0 @ SY371 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SY370 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY370 @ ( sK15_W3 @ SY370 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SY370 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SY370 @ ( sK14_W3 @ SY370 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SY370 @ SV262 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2750]) ).
thf(2785,plain,
! [SV263: $i,SV181: $i] :
( ( ! [SY372: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV263 )
| ~ ( aNaturalNumber0 @ SY372 )
| ~ ( isPrime0 @ SY372 )
| ! [SY373: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SY372 @ SY373 ) )
| ~ ( aNaturalNumber0 @ SY373 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SY372 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY372 @ ( sK13_W3 @ SY372 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SY372 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SY372 @ SV263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2751]) ).
thf(2786,plain,
! [SV264: $i,SV181: $i] :
( ( ! [SY374: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV264 )
| ~ ( aNaturalNumber0 @ SY374 )
| ~ ( isPrime0 @ SY374 )
| ! [SY375: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SY374 @ SY375 ) )
| ~ ( aNaturalNumber0 @ SY375 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SY374 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY374 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SY374 @ ( sK12_W3 @ SY374 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SY374 @ SV264 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2752]) ).
thf(2787,plain,
! [SV265: $i,SV181: $i] :
( ( ! [SY376: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV265 )
| ~ ( aNaturalNumber0 @ SY376 )
| ~ ( isPrime0 @ SY376 )
| ! [SY377: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SY376 @ SY377 ) )
| ~ ( aNaturalNumber0 @ SY377 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SY376 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY376 @ SV181 )
| ( doDivides0 @ SY376 @ SV265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2753]) ).
thf(2788,plain,
! [SV266: $i,SV181: $i] :
( ( ! [SY378: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV266 )
| ~ ( aNaturalNumber0 @ SY378 )
| ~ ( isPrime0 @ SY378 )
| ~ ( doDivides0 @ SY378 @ ( sdtasdt0 @ SV181 @ SV266 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SY378 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY378 @ ( sK11_W3 @ SY378 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SY378 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SY378 @ ( sK10_W3 @ SY378 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SY378 @ SV266 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2754]) ).
thf(2789,plain,
! [SV267: $i,SV181: $i] :
( ( ! [SY379: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV267 )
| ~ ( aNaturalNumber0 @ SY379 )
| ~ ( isPrime0 @ SY379 )
| ~ ( doDivides0 @ SY379 @ ( sdtasdt0 @ SV181 @ SV267 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SY379 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SY379 @ ( sK9_W3 @ SY379 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SY379 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SY379 @ SV267 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2755]) ).
thf(2790,plain,
! [SV268: $i,SV181: $i] :
( ( ! [SY380: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV268 )
| ~ ( aNaturalNumber0 @ SY380 )
| ~ ( isPrime0 @ SY380 )
| ~ ( doDivides0 @ SY380 @ ( sdtasdt0 @ SV181 @ SV268 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV268 ) @ SY380 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY380 @ SV181 )
| ~ ( ( SV268
!= ( sdtasdt0 @ SY380 @ ( sK8_W3 @ SY380 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SY380 @ SV268 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2756]) ).
thf(2791,plain,
! [SV269: $i,SV181: $i] :
( ( ! [SY381: $i] :
( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV269 )
| ~ ( aNaturalNumber0 @ SY381 )
| ~ ( isPrime0 @ SY381 )
| ~ ( doDivides0 @ SY381 @ ( sdtasdt0 @ SV181 @ SV269 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV269 ) @ SY381 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SY381 @ SV181 )
| ( doDivides0 @ SY381 @ SV269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2757]) ).
thf(2792,plain,
! [SV235: $i,SV230: $i,SV182: $i] :
( ( ( ( sdtpldt0 @ SV182 @ SV230 )
= ( sdtpldt0 @ SV182 @ SV235 ) )
= $false )
| ( ( SV230 = SV235 )
= $true )
| ( ( aNaturalNumber0 @ SV230 )
= $false )
| ( ( aNaturalNumber0 @ SV182 )
= $false )
| ( ( aNaturalNumber0 @ SV235 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2758]) ).
thf(2793,plain,
! [SV236: $i,SV182: $i,SV231: $i] :
( ( ( ( sdtpldt0 @ SV231 @ SV182 )
= ( sdtpldt0 @ SV236 @ SV182 ) )
= $false )
| ( ( SV231 = SV236 )
= $true )
| ( ( aNaturalNumber0 @ SV231 )
= $false )
| ( ( aNaturalNumber0 @ SV182 )
= $false )
| ( ( aNaturalNumber0 @ SV236 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2759]) ).
thf(2794,plain,
( ( ~ ( ( xn != xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2760]) ).
thf(2795,plain,
( ( ~ ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2760]) ).
thf(2796,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2761]) ).
thf(2797,plain,
( ( ~ ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2761]) ).
thf(2798,plain,
( ( ~ ( ( xp != sz00 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2762]) ).
thf(2799,plain,
( ( ~ ( ( xp != sz10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2762]) ).
thf(2800,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)],[2763]) ).
thf(2801,plain,
! [SV247: $i] :
( ( ( SV247 = sz10 )
= $true )
| ( ( SV247 = xr )
= $true )
| ( ( aNaturalNumber0 @ SV247 )
= $false )
| ( ( doDivides0 @ SV247 @ xr )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2764]) ).
thf(2802,plain,
( ( ~ ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2765]) ).
thf(2803,plain,
( ( doDivides0 @ xr @ xk )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2766]) ).
thf(2804,plain,
! [SV242: $i,SV239: $i,SV178: $i] :
( ( ( ( sdtasdt0 @ SV178 @ SV239 )
= ( sdtasdt0 @ SV178 @ SV242 ) )
= $false )
| ( ( SV239 = SV242 )
= $true )
| ( ( aNaturalNumber0 @ SV239 )
= $false )
| ( ( aNaturalNumber0 @ SV242 )
= $false )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2767]) ).
thf(2805,plain,
! [SV243: $i,SV178: $i,SV240: $i] :
( ( ( ( sdtasdt0 @ SV240 @ SV178 )
= ( sdtasdt0 @ SV243 @ SV178 ) )
= $false )
| ( ( SV240 = SV243 )
= $true )
| ( ( aNaturalNumber0 @ SV240 )
= $false )
| ( ( aNaturalNumber0 @ SV243 )
= $false )
| ( ( SV178 = sz00 )
= $true )
| ( ( aNaturalNumber0 @ SV178 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2768]) ).
thf(2806,plain,
! [SV241: $i,SV179: $i,SV244: $i] :
( ( ( aNaturalNumber0 @ SV244 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV241 )
= $false )
| ( ( ( SV179 = sz00 )
| ( SV241 = SV244 )
| ~ ( sdtlseqdt0 @ SV241 @ SV244 )
| ( ( sdtasdt0 @ SV241 @ SV179 )
!= ( sdtasdt0 @ SV244 @ SV179 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2769]) ).
thf(2807,plain,
! [SV250: $i,SV248: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV248 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV250 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 )
| ( ( sdtasdt0 @ SV179 @ SV248 )
!= ( sdtasdt0 @ SV179 @ SV250 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2770]) ).
thf(2808,plain,
! [SV251: $i,SV249: $i,SV179: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV179 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV249 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV251 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SV249 ) @ ( sdtasdt0 @ SV179 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2771]) ).
thf(2809,plain,
! [SV234: $i,SV227: $i,SV179: $i] :
( ( ( SV179 = sz00 )
= $true )
| ( ( SV227 = SV234 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV227 @ SV234 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV227 @ SV179 ) @ ( sdtasdt0 @ SV234 @ SV179 ) )
= $true )
| ( ( aNaturalNumber0 @ SV227 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV234 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2772]) ).
thf(2810,plain,
! [SV201: $i,SV180: $i] :
( ( ( ! [SY339: $i] :
( ~ ( aNaturalNumber0 @ SY339 )
| ( ( sdtpldt0 @ SV180 @ SY339 )
!= ( sdtpldt0 @ SV201 @ SY339 ) ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2773]) ).
thf(2811,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) )
| ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2774]) ).
thf(2812,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)],[2775]) ).
thf(2813,plain,
! [SV270: $i,SV254: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV254 )
| ~ ( aNaturalNumber0 @ SV270 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2776]) ).
thf(2814,plain,
! [SV271: $i,SV255: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV255 )
| ~ ( aNaturalNumber0 @ SV271 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2777]) ).
thf(2815,plain,
! [SV272: $i,SV256: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV256 )
| ~ ( aNaturalNumber0 @ SV272 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2778]) ).
thf(2816,plain,
! [SV273: $i,SV257: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV257 )
| ~ ( aNaturalNumber0 @ SV273 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2779]) ).
thf(2817,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV258 )
| ~ ( aNaturalNumber0 @ SV274 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2780]) ).
thf(2818,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV259 )
| ~ ( aNaturalNumber0 @ SV275 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2781]) ).
thf(2819,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV260 )
| ~ ( aNaturalNumber0 @ SV276 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2782]) ).
thf(2820,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV261 )
| ~ ( aNaturalNumber0 @ SV277 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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)],[2783]) ).
thf(2821,plain,
! [SV278: $i,SV262: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV262 )
| ~ ( aNaturalNumber0 @ SV278 )
| ~ ( isPrime0 @ SV278 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2784]) ).
thf(2822,plain,
! [SV279: $i,SV263: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV263 )
| ~ ( aNaturalNumber0 @ SV279 )
| ~ ( isPrime0 @ SV279 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2785]) ).
thf(2823,plain,
! [SV280: $i,SV264: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV264 )
| ~ ( aNaturalNumber0 @ SV280 )
| ~ ( isPrime0 @ SV280 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2786]) ).
thf(2824,plain,
! [SV281: $i,SV265: $i,SV181: $i] :
( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV265 )
| ~ ( aNaturalNumber0 @ SV281 )
| ~ ( isPrime0 @ SV281 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2787]) ).
thf(2825,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 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2788]) ).
thf(2826,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 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2789]) ).
thf(2827,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 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2790]) ).
thf(2828,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)],[2791]) ).
thf(2829,plain,
( ( ( xn != xp ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2794]) ).
thf(2830,plain,
( ( ~ ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2795]) ).
thf(2831,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ! [SX1: $i] :
( ( xp
!= ( sdtasdt0 @ SX0 @ SX1 ) )
| ~ ( aNaturalNumber0 @ SX1 ) )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2796]) ).
thf(2832,plain,
( ( ! [SX0: $i] :
( ~ ( aNaturalNumber0 @ SX0 )
| ~ ( doDivides0 @ SX0 @ xp )
| ( SX0 = sz10 )
| ( SX0 = xp ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2797]) ).
thf(2833,plain,
( ( ( xp != sz00 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2798]) ).
thf(2834,plain,
( ( ( xp != sz10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2799]) ).
thf(2835,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)],[2800]) ).
thf(2836,plain,
( ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ xr ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2802]) ).
thf(2837,plain,
! [SV244: $i,SV241: $i,SV179: $i] :
( ( ( ( SV179 = sz00 )
| ( SV241 = SV244 )
| ~ ( sdtlseqdt0 @ SV241 @ SV244 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV241 @ SV179 )
!= ( sdtasdt0 @ SV244 @ SV179 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV241 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2806]) ).
thf(2838,plain,
! [SV250: $i,SV248: $i,SV179: $i] :
( ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV248 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV250 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 )
| ( ( sdtasdt0 @ SV179 @ SV248 )
!= ( sdtasdt0 @ SV179 @ SV250 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2807]) ).
thf(2839,plain,
! [SV251: $i,SV249: $i,SV179: $i] :
( ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV249 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV251 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SV249 ) @ ( sdtasdt0 @ SV179 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2808]) ).
thf(2840,plain,
! [SV179: $i,SV234: $i,SV227: $i] :
( ( ( sdtlseqdt0 @ SV227 @ SV234 )
= $false )
| ( ( SV227 = SV234 )
= $true )
| ( ( SV179 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV227 @ SV179 ) @ ( sdtasdt0 @ SV234 @ SV179 ) )
= $true )
| ( ( aNaturalNumber0 @ SV227 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV234 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2809]) ).
thf(2841,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)],[2810]) ).
thf(2842,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) )
| ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2811]) ).
thf(2843,plain,
! [SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV254 )
| ~ ( aNaturalNumber0 @ SV270 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2813]) ).
thf(2844,plain,
! [SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV255 )
| ~ ( aNaturalNumber0 @ SV271 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2814]) ).
thf(2845,plain,
! [SV272: $i,SV256: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV256 )
| ~ ( aNaturalNumber0 @ SV272 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2815]) ).
thf(2846,plain,
! [SV273: $i,SV257: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV257 )
| ~ ( aNaturalNumber0 @ SV273 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2816]) ).
thf(2847,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV258 )
| ~ ( aNaturalNumber0 @ SV274 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2817]) ).
thf(2848,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV259 )
| ~ ( aNaturalNumber0 @ SV275 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2818]) ).
thf(2849,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV260 )
| ~ ( aNaturalNumber0 @ SV276 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2819]) ).
thf(2850,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV261 )
| ~ ( aNaturalNumber0 @ SV277 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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)],[2820]) ).
thf(2851,plain,
! [SV278: $i,SV262: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV262 )
| ~ ( aNaturalNumber0 @ SV278 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV278 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2821]) ).
thf(2852,plain,
! [SV279: $i,SV263: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV263 )
| ~ ( aNaturalNumber0 @ SV279 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV279 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2822]) ).
thf(2853,plain,
! [SV280: $i,SV264: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV264 )
| ~ ( aNaturalNumber0 @ SV280 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV280 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2823]) ).
thf(2854,plain,
! [SV281: $i,SV265: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV265 )
| ~ ( aNaturalNumber0 @ SV281 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV281 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2824]) ).
thf(2855,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 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2825]) ).
thf(2856,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 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2826]) ).
thf(2857,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 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2827]) ).
thf(2858,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)],[2828]) ).
thf(2859,plain,
( ( xn = xp )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2829]) ).
thf(2860,plain,
( ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp )
| ~ ( aNaturalNumber0 @ sK6_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2830]) ).
thf(2861,plain,
! [SV287: $i] :
( ( ~ ( aNaturalNumber0 @ SV287 )
| ! [SY390: $i] :
( ( xp
!= ( sdtasdt0 @ SV287 @ SY390 ) )
| ~ ( aNaturalNumber0 @ SY390 ) )
| ( SV287 = sz10 )
| ( SV287 = xp ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2831]) ).
thf(2862,plain,
! [SV288: $i] :
( ( ~ ( aNaturalNumber0 @ SV288 )
| ~ ( doDivides0 @ SV288 @ xp )
| ( SV288 = sz10 )
| ( SV288 = xp ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2832]) ).
thf(2863,plain,
( ( xp = sz00 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2833]) ).
thf(2864,plain,
( ( xp = sz10 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2834]) ).
thf(2865,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)],[2835]) ).
thf(2866,plain,
( ( ~ ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2836]) ).
thf(2867,plain,
( ( ~ ( aNaturalNumber0 @ xr ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2836]) ).
thf(2868,plain,
! [SV244: $i,SV241: $i,SV179: $i] :
( ( ( ( SV179 = sz00 )
| ( SV241 = SV244 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV241 @ SV244 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV241 @ SV179 )
!= ( sdtasdt0 @ SV244 @ SV179 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV241 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2837]) ).
thf(2869,plain,
! [SV250: $i,SV179: $i,SV248: $i] :
( ( ( aNaturalNumber0 @ SV248 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV250 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 )
| ( ( sdtasdt0 @ SV179 @ SV248 )
!= ( sdtasdt0 @ SV179 @ SV250 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2838]) ).
thf(2870,plain,
! [SV251: $i,SV179: $i,SV249: $i] :
( ( ( aNaturalNumber0 @ SV249 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV251 ) )
= $true )
| ( ( ( SV179 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SV249 ) @ ( sdtasdt0 @ SV179 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2839]) ).
thf(2871,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)],[2841]) ).
thf(2872,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2842]) ).
thf(2873,plain,
! [SV201: $i,SV180: $i] :
( ( ( ~ ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) )
= $false )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2842]) ).
thf(2874,plain,
! [SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV254 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV270 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2843]) ).
thf(2875,plain,
! [SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV255 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV271 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2844]) ).
thf(2876,plain,
! [SV272: $i,SV256: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV256 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV272 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2845]) ).
thf(2877,plain,
! [SV273: $i,SV257: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV257 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV273 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2846]) ).
thf(2878,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV258 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV274 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2847]) ).
thf(2879,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV259 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV275 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2848]) ).
thf(2880,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV260 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV276 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2849]) ).
thf(2881,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV261 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV277 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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)],[2850]) ).
thf(2882,plain,
! [SV278: $i,SV262: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV262 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV278 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV278 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2851]) ).
thf(2883,plain,
! [SV279: $i,SV263: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV263 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV279 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV279 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2852]) ).
thf(2884,plain,
! [SV280: $i,SV264: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV264 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV280 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV280 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2853]) ).
thf(2885,plain,
! [SV281: $i,SV265: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 )
| ~ ( aNaturalNumber0 @ SV265 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV281 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV281 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2854]) ).
thf(2886,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 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2855]) ).
thf(2887,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 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2856]) ).
thf(2888,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 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2857]) ).
thf(2889,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)],[2858]) ).
thf(2890,plain,
( ( ( ( sdtpldt0 @ xn @ sK6_W0 )
!= xp ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2860]) ).
thf(2891,plain,
( ( ~ ( aNaturalNumber0 @ sK6_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2860]) ).
thf(2892,plain,
! [SV287: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV287 )
| ! [SY390: $i] :
( ( xp
!= ( sdtasdt0 @ SV287 @ SY390 ) )
| ~ ( aNaturalNumber0 @ SY390 ) ) )
= $true )
| ( ( ( SV287 = sz10 )
| ( SV287 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2861]) ).
thf(2893,plain,
! [SV288: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV288 )
| ~ ( doDivides0 @ SV288 @ xp ) )
= $true )
| ( ( ( SV288 = sz10 )
| ( SV288 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2862]) ).
thf(2894,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)],[2865]) ).
thf(2895,plain,
( ( ~ ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2866]) ).
thf(2896,plain,
( ( aNaturalNumber0 @ xr )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2867]) ).
thf(2897,plain,
! [SV244: $i,SV241: $i,SV179: $i] :
( ( ( SV179 = sz00 )
= $true )
| ( ( SV241 = SV244 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV241 @ SV244 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV241 @ SV179 )
!= ( sdtasdt0 @ SV244 @ SV179 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV241 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2868]) ).
thf(2898,plain,
! [SV248: $i,SV179: $i,SV250: $i] :
( ( ( aNaturalNumber0 @ SV250 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV248 )
= $false )
| ( ( ( SV179 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 )
| ( ( sdtasdt0 @ SV179 @ SV248 )
!= ( sdtasdt0 @ SV179 @ SV250 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2869]) ).
thf(2899,plain,
! [SV249: $i,SV179: $i,SV251: $i] :
( ( ( aNaturalNumber0 @ SV251 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV249 )
= $false )
| ( ( ( SV179 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SV249 ) @ ( sdtasdt0 @ SV179 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2870]) ).
thf(2900,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)],[2871]) ).
thf(2901,plain,
! [SV201: $i,SV180: $i] :
( ( ( ! [SY340: $i] :
( ~ ( aNaturalNumber0 @ SY340 )
| ( ( sdtpldt0 @ SY340 @ SV180 )
!= ( sdtpldt0 @ SY340 @ SV201 ) ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2872]) ).
thf(2902,plain,
! [SV201: $i,SV180: $i] :
( ( ( ! [SY341: $i] :
( ~ ( aNaturalNumber0 @ SY341 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ SY341 @ SV180 ) @ ( sdtpldt0 @ SY341 @ SV201 ) ) ) )
= $true )
| ( ( SV180 = SV201 )
= $true )
| ( ( sdtlseqdt0 @ SV180 @ SV201 )
= $false )
| ( ( aNaturalNumber0 @ SV180 )
= $false )
| ( ( aNaturalNumber0 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2873]) ).
thf(2903,plain,
! [SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV254 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV270 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2874]) ).
thf(2904,plain,
! [SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV255 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV271 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2875]) ).
thf(2905,plain,
! [SV272: $i,SV256: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV256 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV272 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2876]) ).
thf(2906,plain,
! [SV273: $i,SV257: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV257 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV273 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2877]) ).
thf(2907,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV258 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV274 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2878]) ).
thf(2908,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV259 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV275 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2879]) ).
thf(2909,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV260 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV276 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2880]) ).
thf(2910,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV261 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV277 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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)],[2881]) ).
thf(2911,plain,
! [SV278: $i,SV262: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV262 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV278 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV278 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2882]) ).
thf(2912,plain,
! [SV279: $i,SV263: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV263 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV279 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV279 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2883]) ).
thf(2913,plain,
! [SV280: $i,SV264: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV264 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV280 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV280 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2884]) ).
thf(2914,plain,
! [SV281: $i,SV265: $i,SV181: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV181 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV265 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV281 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV281 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2885]) ).
thf(2915,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 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2886]) ).
thf(2916,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 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2887]) ).
thf(2917,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 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2888]) ).
thf(2918,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)],[2889]) ).
thf(2919,plain,
( ( ( sdtpldt0 @ xn @ sK6_W0 )
= xp )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2890]) ).
thf(2920,plain,
( ( aNaturalNumber0 @ sK6_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2891]) ).
thf(2921,plain,
! [SV287: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV287 ) )
= $true )
| ( ( ! [SY390: $i] :
( ( xp
!= ( sdtasdt0 @ SV287 @ SY390 ) )
| ~ ( aNaturalNumber0 @ SY390 ) ) )
= $true )
| ( ( ( SV287 = sz10 )
| ( SV287 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2892]) ).
thf(2922,plain,
! [SV288: $i] :
( ( ( ~ ( aNaturalNumber0 @ SV288 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV288 @ xp ) )
= $true )
| ( ( ( SV288 = sz10 )
| ( SV288 = xp ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2893]) ).
thf(2923,plain,
( ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) )
| ~ ( aNaturalNumber0 @ sK4_W0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2895]) ).
thf(2924,plain,
! [SV179: $i,SV244: $i,SV241: $i] :
( ( ( sdtlseqdt0 @ SV241 @ SV244 )
= $false )
| ( ( SV241 = SV244 )
= $true )
| ( ( SV179 = sz00 )
= $true )
| ( ( ( ( sdtasdt0 @ SV241 @ SV179 )
!= ( sdtasdt0 @ SV244 @ SV179 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV241 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2897]) ).
thf(2925,plain,
! [SV250: $i,SV248: $i,SV179: $i] :
( ( ( ( SV179 = sz00 )
| ( SV248 = SV250 )
| ~ ( sdtlseqdt0 @ SV248 @ SV250 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV179 @ SV248 )
!= ( sdtasdt0 @ SV179 @ SV250 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV248 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2898]) ).
thf(2926,plain,
! [SV251: $i,SV249: $i,SV179: $i] :
( ( ( ( SV179 = sz00 )
| ( SV249 = SV251 )
| ~ ( sdtlseqdt0 @ SV249 @ SV251 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SV249 ) @ ( sdtasdt0 @ SV179 @ SV251 ) )
= $true )
| ( ( aNaturalNumber0 @ SV249 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV251 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2899]) ).
thf(2927,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)],[2900]) ).
thf(2928,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)],[2901]) ).
thf(2929,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)],[2902]) ).
thf(2930,plain,
! [SV270: $i,SV254: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV254 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV270 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2903]) ).
thf(2931,plain,
! [SV271: $i,SV255: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV255 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV271 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2904]) ).
thf(2932,plain,
! [SV272: $i,SV256: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV256 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV272 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2905]) ).
thf(2933,plain,
! [SV273: $i,SV257: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV257 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV273 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2906]) ).
thf(2934,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV258 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV274 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2907]) ).
thf(2935,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV259 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV275 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2908]) ).
thf(2936,plain,
! [SV276: $i,SV260: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV260 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV276 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2909]) ).
thf(2937,plain,
! [SV277: $i,SV261: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV261 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV277 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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)],[2910]) ).
thf(2938,plain,
! [SV278: $i,SV262: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV262 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV278 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV278 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2911]) ).
thf(2939,plain,
! [SV279: $i,SV263: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV263 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV279 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV279 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2912]) ).
thf(2940,plain,
! [SV280: $i,SV264: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV264 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV280 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV280 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2913]) ).
thf(2941,plain,
! [SV281: $i,SV265: $i,SV181: $i] :
( ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV265 ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV281 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV281 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2914]) ).
thf(2942,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 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2915]) ).
thf(2943,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 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2916]) ).
thf(2944,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 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2917]) ).
thf(2945,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)],[2918]) ).
thf(2946,plain,
! [SV287: $i] :
( ( ( aNaturalNumber0 @ SV287 )
= $false )
| ( ( ! [SY390: $i] :
( ( xp
!= ( sdtasdt0 @ SV287 @ SY390 ) )
| ~ ( aNaturalNumber0 @ SY390 ) ) )
= $true )
| ( ( ( SV287 = sz10 )
| ( SV287 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2921]) ).
thf(2947,plain,
! [SV288: $i] :
( ( ( aNaturalNumber0 @ SV288 )
= $false )
| ( ( ~ ( doDivides0 @ SV288 @ xp ) )
= $true )
| ( ( ( SV288 = sz10 )
| ( SV288 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2922]) ).
thf(2948,plain,
( ( ( xk
!= ( sdtasdt0 @ xr @ sK4_W0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2923]) ).
thf(2949,plain,
( ( ~ ( aNaturalNumber0 @ sK4_W0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2923]) ).
thf(2950,plain,
! [SV244: $i,SV179: $i,SV241: $i] :
( ( ( ( sdtasdt0 @ SV241 @ SV179 )
= ( sdtasdt0 @ SV244 @ SV179 ) )
= $false )
| ( ( SV179 = sz00 )
= $true )
| ( ( SV241 = SV244 )
= $true )
| ( ( sdtlseqdt0 @ SV241 @ SV244 )
= $false )
| ( ( aNaturalNumber0 @ SV241 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2924]) ).
thf(2951,plain,
! [SV250: $i,SV248: $i,SV179: $i] :
( ( ( ( SV179 = sz00 )
| ( SV248 = SV250 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV248 @ SV250 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV179 @ SV248 )
!= ( sdtasdt0 @ SV179 @ SV250 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV248 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2925]) ).
thf(2952,plain,
! [SV251: $i,SV249: $i,SV179: $i] :
( ( ( ( SV179 = sz00 )
| ( SV249 = SV251 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV249 @ SV251 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SV249 ) @ ( sdtasdt0 @ SV179 @ SV251 ) )
= $true )
| ( ( aNaturalNumber0 @ SV249 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV251 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2926]) ).
thf(2953,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)],[2928]) ).
thf(2954,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)],[2929]) ).
thf(2955,plain,
! [SV270: $i,SV181: $i,SV254: $i] :
( ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV270 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2930]) ).
thf(2956,plain,
! [SV271: $i,SV181: $i,SV255: $i] :
( ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV271 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2931]) ).
thf(2957,plain,
! [SV272: $i,SV181: $i,SV256: $i] :
( ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV272 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2932]) ).
thf(2958,plain,
! [SV273: $i,SV181: $i,SV257: $i] :
( ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV273 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2933]) ).
thf(2959,plain,
! [SV274: $i,SV181: $i,SV258: $i] :
( ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV274 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2934]) ).
thf(2960,plain,
! [SV275: $i,SV181: $i,SV259: $i] :
( ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV275 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2935]) ).
thf(2961,plain,
! [SV276: $i,SV181: $i,SV260: $i] :
( ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV276 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2936]) ).
thf(2962,plain,
! [SV277: $i,SV181: $i,SV261: $i] :
( ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV277 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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)],[2937]) ).
thf(2963,plain,
! [SV278: $i,SV181: $i,SV262: $i] :
( ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV278 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV278 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2938]) ).
thf(2964,plain,
! [SV279: $i,SV181: $i,SV263: $i] :
( ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV279 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV279 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2939]) ).
thf(2965,plain,
! [SV280: $i,SV181: $i,SV264: $i] :
( ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV280 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV280 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2940]) ).
thf(2966,plain,
! [SV281: $i,SV181: $i,SV265: $i] :
( ( ( aNaturalNumber0 @ SV265 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV281 ) )
= $true )
| ( ( ~ ( isPrime0 @ SV281 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2941]) ).
thf(2967,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 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2942]) ).
thf(2968,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 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2943]) ).
thf(2969,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 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2944]) ).
thf(2970,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)],[2945]) ).
thf(2971,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)],[2946]) ).
thf(2972,plain,
! [SV288: $i] :
( ( ( doDivides0 @ SV288 @ xp )
= $false )
| ( ( aNaturalNumber0 @ SV288 )
= $false )
| ( ( ( SV288 = sz10 )
| ( SV288 = xp ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2947]) ).
thf(2973,plain,
( ( xk
= ( sdtasdt0 @ xr @ sK4_W0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2948]) ).
thf(2974,plain,
( ( aNaturalNumber0 @ sK4_W0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2949]) ).
thf(2975,plain,
! [SV250: $i,SV248: $i,SV179: $i] :
( ( ( SV179 = sz00 )
= $true )
| ( ( SV248 = SV250 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV248 @ SV250 ) )
= $true )
| ( ( ( ( sdtasdt0 @ SV179 @ SV248 )
!= ( sdtasdt0 @ SV179 @ SV250 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV248 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2951]) ).
thf(2976,plain,
! [SV251: $i,SV249: $i,SV179: $i] :
( ( ( SV179 = sz00 )
= $true )
| ( ( SV249 = SV251 )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV249 @ SV251 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SV249 ) @ ( sdtasdt0 @ SV179 @ SV251 ) )
= $true )
| ( ( aNaturalNumber0 @ SV249 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV251 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2952]) ).
thf(2977,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)],[2953]) ).
thf(2978,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)],[2954]) ).
thf(2979,plain,
! [SV254: $i,SV181: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ SV270 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2955]) ).
thf(2980,plain,
! [SV255: $i,SV181: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ SV271 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2956]) ).
thf(2981,plain,
! [SV256: $i,SV181: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ SV272 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2957]) ).
thf(2982,plain,
! [SV257: $i,SV181: $i,SV273: $i] :
( ( ( aNaturalNumber0 @ SV273 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV257 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV257 ) @ SV273 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV273 @ SV181 )
| ( doDivides0 @ SV273 @ SV257 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2958]) ).
thf(2983,plain,
! [SV258: $i,SV181: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ SV274 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2959]) ).
thf(2984,plain,
! [SV259: $i,SV181: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ SV275 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2960]) ).
thf(2985,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ SV276 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2961]) ).
thf(2986,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( aNaturalNumber0 @ SV277 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV261 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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)],[2962]) ).
thf(2987,plain,
! [SV262: $i,SV181: $i,SV278: $i] :
( ( ( aNaturalNumber0 @ SV278 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( ~ ( isPrime0 @ SV278 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2963]) ).
thf(2988,plain,
! [SV263: $i,SV181: $i,SV279: $i] :
( ( ( aNaturalNumber0 @ SV279 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( ~ ( isPrime0 @ SV279 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2964]) ).
thf(2989,plain,
! [SV264: $i,SV181: $i,SV280: $i] :
( ( ( aNaturalNumber0 @ SV280 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( ~ ( isPrime0 @ SV280 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2965]) ).
thf(2990,plain,
! [SV265: $i,SV181: $i,SV281: $i] :
( ( ( aNaturalNumber0 @ SV281 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV265 )
= $false )
| ( ( ~ ( isPrime0 @ SV281 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) )
| ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV265 ) @ SV281 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV281 @ SV181 )
| ( doDivides0 @ SV281 @ SV265 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2966]) ).
thf(2991,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 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2967]) ).
thf(2992,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 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2968]) ).
thf(2993,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 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2969]) ).
thf(2994,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)],[2970]) ).
thf(2995,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)],[2971]) ).
thf(2996,plain,
! [SV288: $i] :
( ( ( SV288 = sz10 )
= $true )
| ( ( SV288 = xp )
= $true )
| ( ( aNaturalNumber0 @ SV288 )
= $false )
| ( ( doDivides0 @ SV288 @ xp )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2972]) ).
thf(2997,plain,
! [SV179: $i,SV250: $i,SV248: $i] :
( ( ( sdtlseqdt0 @ SV248 @ SV250 )
= $false )
| ( ( SV248 = SV250 )
= $true )
| ( ( SV179 = sz00 )
= $true )
| ( ( ( ( sdtasdt0 @ SV179 @ SV248 )
!= ( sdtasdt0 @ SV179 @ SV250 ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV248 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2975]) ).
thf(2998,plain,
! [SV179: $i,SV251: $i,SV249: $i] :
( ( ( sdtlseqdt0 @ SV249 @ SV251 )
= $false )
| ( ( SV249 = SV251 )
= $true )
| ( ( SV179 = sz00 )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV179 @ SV249 ) @ ( sdtasdt0 @ SV179 @ SV251 ) )
= $true )
| ( ( aNaturalNumber0 @ SV249 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV251 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2976]) ).
thf(2999,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)],[2977]) ).
thf(3000,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 )
| ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2979]) ).
thf(3001,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 )
| ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2980]) ).
thf(3002,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 )
| ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2981]) ).
thf(3003,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 )
| ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[2982]) ).
thf(3004,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2983]) ).
thf(3005,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2984]) ).
thf(3006,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2985]) ).
thf(3007,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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)],[2986]) ).
thf(3008,plain,
! [SV262: $i,SV181: $i,SV278: $i] :
( ( ( ~ ( isPrime0 @ SV278 )
| ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2987]) ).
thf(3009,plain,
! [SV263: $i,SV181: $i,SV279: $i] :
( ( ( ~ ( isPrime0 @ SV279 )
| ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2988]) ).
thf(3010,plain,
! [SV264: $i,SV181: $i,SV280: $i] :
( ( ( ~ ( isPrime0 @ SV280 )
| ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2989]) ).
thf(3011,plain,
! [SV265: $i,SV181: $i,SV281: $i] :
( ( ( ~ ( isPrime0 @ SV281 )
| ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) ) )
= $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)],[2990]) ).
thf(3012,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 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2991]) ).
thf(3013,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 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2992]) ).
thf(3014,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 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2993]) ).
thf(3015,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)],[2994]) ).
thf(3016,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)],[2995]) ).
thf(3017,plain,
! [SV250: $i,SV248: $i,SV179: $i] :
( ( ( ( sdtasdt0 @ SV179 @ SV248 )
= ( sdtasdt0 @ SV179 @ SV250 ) )
= $false )
| ( ( SV179 = sz00 )
= $true )
| ( ( SV248 = SV250 )
= $true )
| ( ( sdtlseqdt0 @ SV248 @ SV250 )
= $false )
| ( ( aNaturalNumber0 @ SV248 )
= $false )
| ( ( aNaturalNumber0 @ SV179 )
= $false )
| ( ( aNaturalNumber0 @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2997]) ).
thf(3018,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
| ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3000]) ).
thf(3019,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
| ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3001]) ).
thf(3020,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
| ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3002]) ).
thf(3021,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
| ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3003]) ).
thf(3022,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3004]) ).
thf(3023,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3005]) ).
thf(3024,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3006]) ).
thf(3025,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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)],[3007]) ).
thf(3026,plain,
! [SV262: $i,SV181: $i,SV278: $i] :
( ( ( ~ ( isPrime0 @ SV278 ) )
= $true )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3008]) ).
thf(3027,plain,
! [SV263: $i,SV181: $i,SV279: $i] :
( ( ( ~ ( isPrime0 @ SV279 ) )
= $true )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3009]) ).
thf(3028,plain,
! [SV264: $i,SV181: $i,SV280: $i] :
( ( ( ~ ( isPrime0 @ SV280 ) )
= $true )
| ( ( ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3010]) ).
thf(3029,plain,
! [SV265: $i,SV181: $i,SV281: $i] :
( ( ( ~ ( isPrime0 @ SV281 ) )
= $true )
| ( ( ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) ) )
= $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)],[3011]) ).
thf(3030,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 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3012]) ).
thf(3031,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 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3013]) ).
thf(3032,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 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3014]) ).
thf(3033,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)],[3015]) ).
thf(3034,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)],[3016]) ).
thf(3035,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3018]) ).
thf(3036,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3019]) ).
thf(3037,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3020]) ).
thf(3038,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3021]) ).
thf(3039,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3022]) ).
thf(3040,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3023]) ).
thf(3041,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3024]) ).
thf(3042,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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)],[3025]) ).
thf(3043,plain,
! [SV262: $i,SV181: $i,SV278: $i] :
( ( ( isPrime0 @ SV278 )
= $false )
| ( ( ! [SY386: $i] :
( ( ( sdtasdt0 @ SV181 @ SV262 )
!= ( sdtasdt0 @ SV278 @ SY386 ) )
| ~ ( aNaturalNumber0 @ SY386 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3026]) ).
thf(3044,plain,
! [SV263: $i,SV181: $i,SV279: $i] :
( ( ( isPrime0 @ SV279 )
= $false )
| ( ( ! [SY387: $i] :
( ( ( sdtasdt0 @ SV181 @ SV263 )
!= ( sdtasdt0 @ SV279 @ SY387 ) )
| ~ ( aNaturalNumber0 @ SY387 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3027]) ).
thf(3045,plain,
! [SV264: $i,SV181: $i,SV280: $i] :
( ( ( isPrime0 @ SV280 )
= $false )
| ( ( ! [SY388: $i] :
( ( ( sdtasdt0 @ SV181 @ SV264 )
!= ( sdtasdt0 @ SV280 @ SY388 ) )
| ~ ( aNaturalNumber0 @ SY388 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV264 ) @ SV280 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV280 @ SV181 )
| ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3028]) ).
thf(3046,plain,
! [SV265: $i,SV181: $i,SV281: $i] :
( ( ( isPrime0 @ SV281 )
= $false )
| ( ( ! [SY389: $i] :
( ( ( sdtasdt0 @ SV181 @ SV265 )
!= ( sdtasdt0 @ SV281 @ SY389 ) )
| ~ ( aNaturalNumber0 @ SY389 ) ) )
= $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)],[3029]) ).
thf(3047,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 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3030]) ).
thf(3048,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 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3031]) ).
thf(3049,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 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3032]) ).
thf(3050,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)],[3033]) ).
thf(3051,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)],[3034]) ).
thf(3052,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
| ~ ~ ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3035]) ).
thf(3053,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
| ~ ~ ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3036]) ).
thf(3054,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
| ~ ~ ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3037]) ).
thf(3055,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
| ~ ~ ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3038]) ).
thf(3056,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ SV274 ) )
| ~ ~ ( ~ ( ( ( sK26_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3039]) ).
thf(3057,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ SV275 ) )
| ~ ~ ( ~ ( ( ( sK22_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3040]) ).
thf(3058,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ SV276 ) )
| ~ ~ ( ~ ( ( ( sK19_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3041]) ).
thf(3059,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ SV277 ) )
| ~ ~ ( ~ ( ( ( sK16_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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)],[3042]) ).
thf(3060,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 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3043]) ).
thf(3061,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 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3044]) ).
thf(3062,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 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3045]) ).
thf(3063,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)],[3046]) ).
thf(3064,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 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV266 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3047]) ).
thf(3065,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 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ( doDivides0 @ SV283 @ SV267 ) )
= $true )
| ( ( aNaturalNumber0 @ SV267 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV283 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3048]) ).
thf(3066,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 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV268 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3049]) ).
thf(3067,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)],[3050]) ).
thf(3068,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3052]) ).
thf(3069,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3052]) ).
thf(3070,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3053]) ).
thf(3071,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3053]) ).
thf(3072,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3054]) ).
thf(3073,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3054]) ).
thf(3074,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3055]) ).
thf(3075,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3055]) ).
thf(3076,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3056]) ).
thf(3077,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK26_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3056]) ).
thf(3078,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3057]) ).
thf(3079,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK22_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3057]) ).
thf(3080,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3058]) ).
thf(3081,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK19_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3058]) ).
thf(3082,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_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)],[3059]) ).
thf(3083,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK16_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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)],[3059]) ).
thf(3084,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 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3060]) ).
thf(3085,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 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3061]) ).
thf(3086,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 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3062]) ).
thf(3087,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)],[3063]) ).
thf(3088,plain,
! [SV282: $i,SV266: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_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)],[3064]) ).
thf(3089,plain,
! [SV283: $i,SV267: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_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)],[3065]) ).
thf(3090,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 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_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)],[3066]) ).
thf(3091,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)],[3067]) ).
thf(3092,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3068]) ).
thf(3093,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3069]) ).
thf(3094,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3070]) ).
thf(3095,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3071]) ).
thf(3096,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3072]) ).
thf(3097,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3073]) ).
thf(3098,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3074]) ).
thf(3099,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3075]) ).
thf(3100,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3076]) ).
thf(3101,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ~ ( ( ( sK26_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3077]) ).
thf(3102,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3078]) ).
thf(3103,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ~ ( ( ( sK22_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3079]) ).
thf(3104,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3080]) ).
thf(3105,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ~ ( ( ( sK19_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3081]) ).
thf(3106,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_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)],[3082]) ).
thf(3107,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ~ ( ( ( sK16_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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)],[3083]) ).
thf(3108,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 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3084]) ).
thf(3109,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 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3085]) ).
thf(3110,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 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3086]) ).
thf(3111,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)],[3087]) ).
thf(3112,plain,
! [SV282: $i,SV266: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV266 ) @ SV282 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_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)],[3088]) ).
thf(3113,plain,
! [SV283: $i,SV267: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV267 ) @ SV283 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_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)],[3089]) ).
thf(3114,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 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_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)],[3090]) ).
thf(3115,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)],[3091]) ).
thf(3116,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3092]) ).
thf(3117,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3093]) ).
thf(3118,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3094]) ).
thf(3119,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3095]) ).
thf(3120,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3096]) ).
thf(3121,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3097]) ).
thf(3122,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3098]) ).
thf(3123,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3099]) ).
thf(3124,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3100]) ).
thf(3125,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ( ( sK26_W3 @ SV274 @ SV258 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3101]) ).
thf(3126,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3102]) ).
thf(3127,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ( ( sK22_W3 @ SV275 @ SV259 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3103]) ).
thf(3128,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3104]) ).
thf(3129,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ( ( sK19_W3 @ SV276 @ SV260 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3105]) ).
thf(3130,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( doDivides0 @ ( sK16_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)],[3106]) ).
thf(3131,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ( ( sK16_W3 @ SV277 @ SV261 @ SV181 )
!= sz10 ) )
| ~ ( ( ( sK16_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)],[3107]) ).
thf(3132,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 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV262 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV278 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3108]) ).
thf(3133,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 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ( doDivides0 @ SV279 @ SV263 ) )
= $true )
| ( ( aNaturalNumber0 @ SV263 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV279 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3109]) ).
thf(3134,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 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV264 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3110]) ).
thf(3135,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)],[3111]) ).
thf(3136,plain,
! [SV266: $i,SV282: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_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)],[3112]) ).
thf(3137,plain,
! [SV267: $i,SV283: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_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)],[3113]) ).
thf(3138,plain,
! [SV268: $i,SV181: $i,SV284: $i] :
( ( ( doDivides0 @ SV284 @ SV181 )
= $true )
| ( ( ~ ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_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)],[3114]) ).
thf(3139,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)],[3115]) ).
thf(3140,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3116]) ).
thf(3141,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3116]) ).
thf(3142,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3117]) ).
thf(3143,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3117]) ).
thf(3144,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3118]) ).
thf(3145,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3118]) ).
thf(3146,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3119]) ).
thf(3147,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3119]) ).
thf(3148,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3120]) ).
thf(3149,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3120]) ).
thf(3150,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3121]) ).
thf(3151,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3121]) ).
thf(3152,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3122]) ).
thf(3153,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3122]) ).
thf(3154,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3123]) ).
thf(3155,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3123]) ).
thf(3156,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3124]) ).
thf(3157,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( doDivides0 @ ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3124]) ).
thf(3158,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3125]) ).
thf(3159,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3125]) ).
thf(3160,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3126]) ).
thf(3161,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( doDivides0 @ ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3126]) ).
thf(3162,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3127]) ).
thf(3163,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3127]) ).
thf(3164,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3128]) ).
thf(3165,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( doDivides0 @ ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3128]) ).
thf(3166,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3129]) ).
thf(3167,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3129]) ).
thf(3168,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_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)],[3130]) ).
thf(3169,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( doDivides0 @ ( sK16_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)],[3130]) ).
thf(3170,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ( ( sK16_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)],[3131]) ).
thf(3171,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ( ( sK16_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)],[3131]) ).
thf(3172,plain,
! [SV292: $i,SV278: $i,SV262: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_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)],[3132]) ).
thf(3173,plain,
! [SV293: $i,SV279: $i,SV263: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_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)],[3133]) ).
thf(3174,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 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_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)],[3134]) ).
thf(3175,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)],[3135]) ).
thf(3176,plain,
! [SV266: $i,SV282: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_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)],[3136]) ).
thf(3177,plain,
! [SV267: $i,SV283: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK9_W3 @ SV283 @ SV267 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK9_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)],[3137]) ).
thf(3178,plain,
! [SV181: $i,SV284: $i,SV268: $i] :
( ( ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK8_W3 @ SV284 @ SV268 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK8_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)],[3138]) ).
thf(3179,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3140]) ).
thf(3180,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3141]) ).
thf(3181,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= sz10 ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3142]) ).
thf(3182,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
!= SV270 ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3143]) ).
thf(3183,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3144]) ).
thf(3184,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3145]) ).
thf(3185,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= sz10 ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3146]) ).
thf(3186,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
!= SV271 ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3147]) ).
thf(3187,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3148]) ).
thf(3188,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3149]) ).
thf(3189,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= sz10 ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3150]) ).
thf(3190,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
!= SV272 ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3151]) ).
thf(3191,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3152]) ).
thf(3192,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3153]) ).
thf(3193,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= sz10 ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3154]) ).
thf(3194,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
!= SV273 ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3155]) ).
thf(3195,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3156]) ).
thf(3196,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( doDivides0 @ ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3157]) ).
thf(3197,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3158]) ).
thf(3198,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3159]) ).
thf(3199,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3160]) ).
thf(3200,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( doDivides0 @ ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3161]) ).
thf(3201,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3162]) ).
thf(3202,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3163]) ).
thf(3203,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3164]) ).
thf(3204,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( doDivides0 @ ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3165]) ).
thf(3205,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3166]) ).
thf(3206,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3167]) ).
thf(3207,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_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)],[3168]) ).
thf(3208,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( doDivides0 @ ( sK16_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)],[3169]) ).
thf(3209,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ( ( sK16_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)],[3170]) ).
thf(3210,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ( ( sK16_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)],[3171]) ).
thf(3211,plain,
! [SV292: $i,SV278: $i,SV262: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV262 ) @ SV278 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_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)],[3172]) ).
thf(3212,plain,
! [SV293: $i,SV279: $i,SV263: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV263 ) @ SV279 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_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)],[3173]) ).
thf(3213,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 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_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)],[3174]) ).
thf(3214,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)],[3175]) ).
thf(3215,plain,
! [SV266: $i,SV282: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_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)],[3176]) ).
thf(3216,plain,
! [SV181: $i,SV266: $i,SV282: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_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)],[3176]) ).
thf(3217,plain,
! [SV267: $i,SV283: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV283 @ ( sK9_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)],[3177]) ).
thf(3218,plain,
! [SV181: $i,SV267: $i,SV283: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK9_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)],[3177]) ).
thf(3219,plain,
! [SV181: $i,SV284: $i,SV268: $i] :
( ( ( ( SV268
!= ( sdtasdt0 @ SV284 @ ( sK8_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)],[3178]) ).
thf(3220,plain,
! [SV181: $i,SV268: $i,SV284: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK8_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)],[3178]) ).
thf(3221,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3179]) ).
thf(3222,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ SV270 )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3180]) ).
thf(3223,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3181]) ).
thf(3224,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3182]) ).
thf(3225,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3183]) ).
thf(3226,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ SV271 )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3184]) ).
thf(3227,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3185]) ).
thf(3228,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3186]) ).
thf(3229,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3187]) ).
thf(3230,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ SV272 )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3188]) ).
thf(3231,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3189]) ).
thf(3232,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3190]) ).
thf(3233,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3191]) ).
thf(3234,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ SV273 )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3192]) ).
thf(3235,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
= sz10 )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3193]) ).
thf(3236,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
= SV273 )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3194]) ).
thf(3237,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3195]) ).
thf(3238,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3196]) ).
thf(3239,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3197]) ).
thf(3240,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3198]) ).
thf(3241,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3199]) ).
thf(3242,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3200]) ).
thf(3243,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3201]) ).
thf(3244,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3202]) ).
thf(3245,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3203]) ).
thf(3246,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3204]) ).
thf(3247,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3205]) ).
thf(3248,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3206]) ).
thf(3249,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK16_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)],[3207]) ).
thf(3250,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK16_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)],[3208]) ).
thf(3251,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ( sK16_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)],[3209]) ).
thf(3252,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ( sK16_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)],[3210]) ).
thf(3253,plain,
! [SV292: $i,SV262: $i,SV278: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_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)],[3211]) ).
thf(3254,plain,
! [SV293: $i,SV263: $i,SV279: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_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)],[3212]) ).
thf(3255,plain,
! [SV294: $i,SV264: $i,SV181: $i,SV280: $i] :
( ( ( doDivides0 @ SV280 @ SV181 )
= $true )
| ( ( ~ ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_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)],[3213]) ).
thf(3256,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)],[3214]) ).
thf(3257,plain,
! [SV266: $i,SV282: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV282 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_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)],[3215]) ).
thf(3258,plain,
! [SV181: $i,SV266: $i,SV282: $i] :
( ( ( aNaturalNumber0 @ ( sK11_W3 @ SV282 @ SV266 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_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)],[3216]) ).
thf(3259,plain,
! [SV267: $i,SV283: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV283 @ ( sK9_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)],[3217]) ).
thf(3260,plain,
! [SV181: $i,SV267: $i,SV283: $i] :
( ( ( aNaturalNumber0 @ ( sK9_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)],[3218]) ).
thf(3261,plain,
! [SV181: $i,SV284: $i,SV268: $i] :
( ( ( SV268
= ( sdtasdt0 @ SV284 @ ( sK8_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)],[3219]) ).
thf(3262,plain,
! [SV181: $i,SV268: $i,SV284: $i] :
( ( ( aNaturalNumber0 @ ( sK8_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)],[3220]) ).
thf(3263,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3221]) ).
thf(3264,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3221]) ).
thf(3265,plain,
! [SV296: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV296 ) )
| ~ ( aNaturalNumber0 @ SV296 ) )
= $true )
| ( ( doDivides0 @ ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3222]) ).
thf(3266,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
= sz10 )
= $false )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3223]) ).
thf(3267,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_W3 @ SV270 @ SV254 @ SV181 )
= SV270 )
= $false )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3224]) ).
thf(3268,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3225]) ).
thf(3269,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3225]) ).
thf(3270,plain,
! [SV297: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV297 ) )
| ~ ( aNaturalNumber0 @ SV297 ) )
= $true )
| ( ( doDivides0 @ ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3226]) ).
thf(3271,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
= sz10 )
= $false )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3227]) ).
thf(3272,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK34_W3 @ SV271 @ SV255 @ SV181 )
= SV271 )
= $false )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3228]) ).
thf(3273,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3229]) ).
thf(3274,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3229]) ).
thf(3275,plain,
! [SV298: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV298 ) )
| ~ ( aNaturalNumber0 @ SV298 ) )
= $true )
| ( ( doDivides0 @ ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3230]) ).
thf(3276,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
= sz10 )
= $false )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3231]) ).
thf(3277,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK31_W3 @ SV272 @ SV256 @ SV181 )
= SV272 )
= $false )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3232]) ).
thf(3278,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3233]) ).
thf(3279,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3233]) ).
thf(3280,plain,
! [SV299: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV299 ) )
| ~ ( aNaturalNumber0 @ SV299 ) )
= $true )
| ( ( doDivides0 @ ( sK28_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)],[3234]) ).
thf(3281,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
= sz10 )
= $false )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3235]) ).
thf(3282,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( ( sK28_W3 @ SV273 @ SV257 @ SV181 )
= SV273 )
= $false )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3236]) ).
thf(3283,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ 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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3237]) ).
thf(3284,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3237]) ).
thf(3285,plain,
! [SV258: $i,SV181: $i,SV274: $i] :
( ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( doDivides0 @ ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3238]) ).
thf(3286,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3239]) ).
thf(3287,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3240]) ).
thf(3288,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ 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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3241]) ).
thf(3289,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3241]) ).
thf(3290,plain,
! [SV259: $i,SV181: $i,SV275: $i] :
( ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( doDivides0 @ ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3242]) ).
thf(3291,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3243]) ).
thf(3292,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3244]) ).
thf(3293,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ 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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3245]) ).
thf(3294,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3245]) ).
thf(3295,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( doDivides0 @ ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3246]) ).
thf(3296,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3247]) ).
thf(3297,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3248]) ).
thf(3298,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ 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)],[3249]) ).
thf(3299,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK16_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)],[3249]) ).
thf(3300,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( doDivides0 @ ( sK16_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)],[3250]) ).
thf(3301,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( ( sK16_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)],[3251]) ).
thf(3302,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( ( sK16_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)],[3252]) ).
thf(3303,plain,
! [SV292: $i,SV262: $i,SV278: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_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)],[3253]) ).
thf(3304,plain,
! [SV293: $i,SV263: $i,SV279: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK13_W3 @ SV279 @ SV263 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK13_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)],[3254]) ).
thf(3305,plain,
! [SV294: $i,SV181: $i,SV280: $i,SV264: $i] :
( ( ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK12_W3 @ SV280 @ SV264 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK12_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)],[3255]) ).
thf(3306,plain,
! [SV181: $i,SV282: $i,SV266: $i] :
( ( ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV282 @ ( 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)],[3257]) ).
thf(3307,plain,
! [SV181: $i,SV282: $i,SV266: $i] :
( ( ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $false )
| ( ( 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)],[3258]) ).
thf(3308,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3263]) ).
thf(3309,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3264]) ).
thf(3310,plain,
! [SV296: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV296 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV296 ) )
= $true )
| ( ( doDivides0 @ ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3265]) ).
thf(3311,plain,
! [SV300: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV300 ) )
| ~ ( aNaturalNumber0 @ SV300 ) )
= $true )
| ( ( ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3266]) ).
thf(3312,plain,
! [SV301: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV301 ) )
| ~ ( aNaturalNumber0 @ SV301 ) )
= $true )
| ( ( ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3267]) ).
thf(3313,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3268]) ).
thf(3314,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3269]) ).
thf(3315,plain,
! [SV297: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV297 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV297 ) )
= $true )
| ( ( doDivides0 @ ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3270]) ).
thf(3316,plain,
! [SV302: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV302 ) )
| ~ ( aNaturalNumber0 @ SV302 ) )
= $true )
| ( ( ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3271]) ).
thf(3317,plain,
! [SV303: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV303 ) )
| ~ ( aNaturalNumber0 @ SV303 ) )
= $true )
| ( ( ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3272]) ).
thf(3318,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3273]) ).
thf(3319,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3274]) ).
thf(3320,plain,
! [SV298: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV298 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV298 ) )
= $true )
| ( ( doDivides0 @ ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3275]) ).
thf(3321,plain,
! [SV304: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV304 ) )
| ~ ( aNaturalNumber0 @ SV304 ) )
= $true )
| ( ( ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3276]) ).
thf(3322,plain,
! [SV305: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV305 ) )
| ~ ( aNaturalNumber0 @ SV305 ) )
= $true )
| ( ( ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3277]) ).
thf(3323,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3278]) ).
thf(3324,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3279]) ).
thf(3325,plain,
! [SV299: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV299 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV299 ) )
= $true )
| ( ( doDivides0 @ ( sK28_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)],[3280]) ).
thf(3326,plain,
! [SV306: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV306 ) )
| ~ ( aNaturalNumber0 @ SV306 ) )
= $true )
| ( ( ( sK28_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)],[3281]) ).
thf(3327,plain,
! [SV307: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV307 ) )
| ~ ( aNaturalNumber0 @ SV307 ) )
= $true )
| ( ( ( sK28_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)],[3282]) ).
thf(3328,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ 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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3283]) ).
thf(3329,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3284]) ).
thf(3330,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_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)],[3285]) ).
thf(3331,plain,
! [SV258: $i,SV181: $i,SV274: $i] :
( ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3286]) ).
thf(3332,plain,
! [SV258: $i,SV181: $i,SV274: $i] :
( ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3287]) ).
thf(3333,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ 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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3288]) ).
thf(3334,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3289]) ).
thf(3335,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK22_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)],[3290]) ).
thf(3336,plain,
! [SV259: $i,SV181: $i,SV275: $i] :
( ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3291]) ).
thf(3337,plain,
! [SV259: $i,SV181: $i,SV275: $i] :
( ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3292]) ).
thf(3338,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ 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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3293]) ).
thf(3339,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3294]) ).
thf(3340,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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK19_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)],[3295]) ).
thf(3341,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3296]) ).
thf(3342,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3297]) ).
thf(3343,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ 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)],[3298]) ).
thf(3344,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( aNaturalNumber0 @ ( sK16_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)],[3299]) ).
thf(3345,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 @ ( sK16_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)],[3300]) ).
thf(3346,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( ( sK16_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)],[3301]) ).
thf(3347,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( ( sK16_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)],[3302]) ).
thf(3348,plain,
! [SV292: $i,SV262: $i,SV278: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_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)],[3303]) ).
thf(3349,plain,
! [SV292: $i,SV181: $i,SV262: $i,SV278: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_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)],[3303]) ).
thf(3350,plain,
! [SV293: $i,SV263: $i,SV279: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV279 @ ( sK13_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)],[3304]) ).
thf(3351,plain,
! [SV293: $i,SV181: $i,SV263: $i,SV279: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK13_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)],[3304]) ).
thf(3352,plain,
! [SV294: $i,SV181: $i,SV280: $i,SV264: $i] :
( ( ( ( SV264
!= ( sdtasdt0 @ SV280 @ ( sK12_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)],[3305]) ).
thf(3353,plain,
! [SV294: $i,SV181: $i,SV264: $i,SV280: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK12_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)],[3305]) ).
thf(3354,plain,
! [SV181: $i,SV282: $i,SV266: $i] :
( ( ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV282 @ ( 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)],[3306]) ).
thf(3355,plain,
! [SV181: $i,SV266: $i,SV282: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV282 @ ( 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)],[3306]) ).
thf(3356,plain,
! [SV181: $i,SV282: $i,SV266: $i] :
( ( ( ( SV266
!= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) ) )
= $false )
| ( ( 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)],[3307]) ).
thf(3357,plain,
! [SV181: $i,SV266: $i,SV282: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $false )
| ( ( 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)],[3307]) ).
thf(3358,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3308]) ).
thf(3359,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3309]) ).
thf(3360,plain,
! [SV296: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV296 ) )
= $true )
| ( ( doDivides0 @ ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3310]) ).
thf(3361,plain,
! [SV300: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV300 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV300 ) )
= $true )
| ( ( ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3311]) ).
thf(3362,plain,
! [SV301: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV301 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV301 ) )
= $true )
| ( ( ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3312]) ).
thf(3363,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3313]) ).
thf(3364,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3314]) ).
thf(3365,plain,
! [SV297: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV297 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV297 ) )
= $true )
| ( ( doDivides0 @ ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3315]) ).
thf(3366,plain,
! [SV302: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV302 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV302 ) )
= $true )
| ( ( ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3316]) ).
thf(3367,plain,
! [SV303: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV303 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV303 ) )
= $true )
| ( ( ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3317]) ).
thf(3368,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3318]) ).
thf(3369,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3319]) ).
thf(3370,plain,
! [SV298: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV298 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV298 ) )
= $true )
| ( ( doDivides0 @ ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3320]) ).
thf(3371,plain,
! [SV304: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV304 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV304 ) )
= $true )
| ( ( ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3321]) ).
thf(3372,plain,
! [SV305: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV305 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV305 ) )
= $true )
| ( ( ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3322]) ).
thf(3373,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3323]) ).
thf(3374,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3324]) ).
thf(3375,plain,
! [SV299: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV299 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV299 ) )
= $true )
| ( ( doDivides0 @ ( sK28_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)],[3325]) ).
thf(3376,plain,
! [SV306: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV306 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV306 ) )
= $true )
| ( ( ( sK28_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)],[3326]) ).
thf(3377,plain,
! [SV307: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV307 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV307 ) )
= $true )
| ( ( ( sK28_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)],[3327]) ).
thf(3378,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK27_SY92 @ 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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3328]) ).
thf(3379,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3329]) ).
thf(3380,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_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)],[3330]) ).
thf(3381,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3331]) ).
thf(3382,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3332]) ).
thf(3383,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK23_SY91 @ 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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3333]) ).
thf(3384,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3334]) ).
thf(3385,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK22_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)],[3335]) ).
thf(3386,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK22_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)],[3336]) ).
thf(3387,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK22_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)],[3337]) ).
thf(3388,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK20_SY90 @ 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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3338]) ).
thf(3389,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3339]) ).
thf(3390,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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK19_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)],[3340]) ).
thf(3391,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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK19_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)],[3341]) ).
thf(3392,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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK19_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)],[3342]) ).
thf(3393,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ SV277 @ SV261 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK17_SY89 @ 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)],[3343]) ).
thf(3394,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK16_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)],[3344]) ).
thf(3395,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 @ ( sK16_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)],[3345]) ).
thf(3396,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 )
| ( ( ( sK16_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)],[3346]) ).
thf(3397,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 )
| ( ( ( sK16_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)],[3347]) ).
thf(3398,plain,
! [SV292: $i,SV262: $i,SV278: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV278 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_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)],[3348]) ).
thf(3399,plain,
! [SV292: $i,SV181: $i,SV262: $i,SV278: $i] :
( ( ( aNaturalNumber0 @ ( sK15_W3 @ SV278 @ SV262 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_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)],[3349]) ).
thf(3400,plain,
! [SV293: $i,SV263: $i,SV279: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV279 @ ( sK13_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)],[3350]) ).
thf(3401,plain,
! [SV293: $i,SV181: $i,SV263: $i,SV279: $i] :
( ( ( aNaturalNumber0 @ ( sK13_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)],[3351]) ).
thf(3402,plain,
! [SV294: $i,SV181: $i,SV280: $i,SV264: $i] :
( ( ( SV264
= ( sdtasdt0 @ SV280 @ ( sK12_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)],[3352]) ).
thf(3403,plain,
! [SV294: $i,SV181: $i,SV264: $i,SV280: $i] :
( ( ( aNaturalNumber0 @ ( sK12_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)],[3353]) ).
thf(3404,plain,
! [SV181: $i,SV282: $i,SV266: $i] :
( ( ( SV266
= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV282 @ ( 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)],[3354]) ).
thf(3405,plain,
! [SV181: $i,SV266: $i,SV282: $i] :
( ( ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV282 @ ( 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)],[3355]) ).
thf(3406,plain,
! [SV181: $i,SV282: $i,SV266: $i] :
( ( ( SV266
= ( sdtasdt0 @ SV282 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) ) )
= $true )
| ( ( 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)],[3356]) ).
thf(3407,plain,
! [SV181: $i,SV266: $i,SV282: $i] :
( ( ( aNaturalNumber0 @ ( sK10_W3 @ SV282 @ SV266 @ SV181 ) )
= $true )
| ( ( 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)],[3357]) ).
thf(3408,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ( SV270
!= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3358]) ).
thf(3409,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3358]) ).
thf(3410,plain,
! [SV308: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV308 ) )
| ~ ( aNaturalNumber0 @ SV308 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3359]) ).
thf(3411,plain,
! [SV270: $i,SV254: $i,SV181: $i,SV296: $i] :
( ( ( aNaturalNumber0 @ SV296 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV296 ) )
= $false )
| ( ( doDivides0 @ ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3360]) ).
thf(3412,plain,
! [SV300: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV300 ) )
= $true )
| ( ( ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3361]) ).
thf(3413,plain,
! [SV301: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV301 ) )
= $true )
| ( ( ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3362]) ).
thf(3414,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ( SV271
!= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3363]) ).
thf(3415,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
= $false )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3363]) ).
thf(3416,plain,
! [SV309: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV309 ) )
| ~ ( aNaturalNumber0 @ SV309 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3364]) ).
thf(3417,plain,
! [SV271: $i,SV255: $i,SV181: $i,SV297: $i] :
( ( ( aNaturalNumber0 @ SV297 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV297 ) )
= $false )
| ( ( doDivides0 @ ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3365]) ).
thf(3418,plain,
! [SV302: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV302 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV302 ) )
= $true )
| ( ( ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3366]) ).
thf(3419,plain,
! [SV303: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV303 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV303 ) )
= $true )
| ( ( ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3367]) ).
thf(3420,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ( SV272
!= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3368]) ).
thf(3421,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
= $false )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3368]) ).
thf(3422,plain,
! [SV310: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV310 ) )
| ~ ( aNaturalNumber0 @ SV310 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3369]) ).
thf(3423,plain,
! [SV272: $i,SV256: $i,SV181: $i,SV298: $i] :
( ( ( aNaturalNumber0 @ SV298 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV298 ) )
= $false )
| ( ( doDivides0 @ ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3370]) ).
thf(3424,plain,
! [SV304: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV304 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV304 ) )
= $true )
| ( ( ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3371]) ).
thf(3425,plain,
! [SV305: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV305 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV305 ) )
= $true )
| ( ( ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3372]) ).
thf(3426,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ( SV273
!= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3373]) ).
thf(3427,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
= $false )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3373]) ).
thf(3428,plain,
! [SV311: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV311 ) )
| ~ ( aNaturalNumber0 @ SV311 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_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)],[3374]) ).
thf(3429,plain,
! [SV273: $i,SV257: $i,SV181: $i,SV299: $i] :
( ( ( aNaturalNumber0 @ SV299 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV299 ) )
= $false )
| ( ( doDivides0 @ ( sK28_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)],[3375]) ).
thf(3430,plain,
! [SV306: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV306 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV306 ) )
= $true )
| ( ( ( sK28_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)],[3376]) ).
thf(3431,plain,
! [SV307: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV307 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV307 ) )
= $true )
| ( ( ( sK28_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)],[3377]) ).
thf(3432,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ( SV274
!= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3378]) ).
thf(3433,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK27_SY92 @ 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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3378]) ).
thf(3434,plain,
! [SV258: $i,SV181: $i,SV274: $i] :
( ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK26_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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3379]) ).
thf(3435,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_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)],[3380]) ).
thf(3436,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3381]) ).
thf(3437,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3382]) ).
thf(3438,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ( SV275
!= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ 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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3383]) ).
thf(3439,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK23_SY91 @ 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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3383]) ).
thf(3440,plain,
! [SV259: $i,SV181: $i,SV275: $i] :
( ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK22_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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3384]) ).
thf(3441,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_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 @ ( sK22_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)],[3385]) ).
thf(3442,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK22_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)],[3386]) ).
thf(3443,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( ( sK22_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)],[3387]) ).
thf(3444,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ( SV276
!= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ 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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3388]) ).
thf(3445,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK20_SY90 @ 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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3388]) ).
thf(3446,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK19_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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3389]) ).
thf(3447,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK19_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)],[3390]) ).
thf(3448,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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK19_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)],[3391]) ).
thf(3449,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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK19_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)],[3392]) ).
thf(3450,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ( SV277
!= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ 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)],[3393]) ).
thf(3451,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK17_SY89 @ 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)],[3393]) ).
thf(3452,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK16_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)],[3394]) ).
thf(3453,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 @ ( sK16_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)],[3395]) ).
thf(3454,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 )
| ( ( ( sK16_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)],[3396]) ).
thf(3455,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 )
| ( ( ( sK16_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)],[3397]) ).
thf(3456,plain,
! [SV292: $i,SV181: $i,SV278: $i,SV262: $i] :
( ( ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV278 @ ( 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)],[3398]) ).
thf(3457,plain,
! [SV292: $i,SV181: $i,SV278: $i,SV262: $i] :
( ( ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $false )
| ( ( 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)],[3399]) ).
thf(3458,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( SV270
= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3408]) ).
thf(3459,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ( SV270 = sz00 )
| ( SV270 = sz10 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3409]) ).
thf(3460,plain,
! [SV308: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV308 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV308 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3410]) ).
thf(3461,plain,
! [SV296: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_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)],[3411]) ).
thf(3462,plain,
! [SV270: $i,SV254: $i,SV181: $i,SV300: $i] :
( ( ( aNaturalNumber0 @ SV300 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV300 ) )
= $false )
| ( ( ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3412]) ).
thf(3463,plain,
! [SV270: $i,SV254: $i,SV181: $i,SV301: $i] :
( ( ( aNaturalNumber0 @ SV301 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV301 ) )
= $false )
| ( ( ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3413]) ).
thf(3464,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( SV271
= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3414]) ).
thf(3465,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ( SV271 = sz00 )
| ( SV271 = sz10 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3415]) ).
thf(3466,plain,
! [SV309: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV309 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV309 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3416]) ).
thf(3467,plain,
! [SV297: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK34_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)],[3417]) ).
thf(3468,plain,
! [SV271: $i,SV255: $i,SV181: $i,SV302: $i] :
( ( ( aNaturalNumber0 @ SV302 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV302 ) )
= $false )
| ( ( ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3418]) ).
thf(3469,plain,
! [SV271: $i,SV255: $i,SV181: $i,SV303: $i] :
( ( ( aNaturalNumber0 @ SV303 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV303 ) )
= $false )
| ( ( ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3419]) ).
thf(3470,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( SV272
= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3420]) ).
thf(3471,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ( SV272 = sz00 )
| ( SV272 = sz10 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3421]) ).
thf(3472,plain,
! [SV310: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV310 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV310 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3422]) ).
thf(3473,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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK31_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)],[3423]) ).
thf(3474,plain,
! [SV272: $i,SV256: $i,SV181: $i,SV304: $i] :
( ( ( aNaturalNumber0 @ SV304 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV304 ) )
= $false )
| ( ( ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3424]) ).
thf(3475,plain,
! [SV272: $i,SV256: $i,SV181: $i,SV305: $i] :
( ( ( aNaturalNumber0 @ SV305 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV305 ) )
= $false )
| ( ( ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3425]) ).
thf(3476,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( SV273
= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3426]) ).
thf(3477,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( ( SV273 = sz00 )
| ( SV273 = sz10 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3427]) ).
thf(3478,plain,
! [SV311: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV311 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV311 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_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)],[3428]) ).
thf(3479,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 @ ( sK28_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)],[3429]) ).
thf(3480,plain,
! [SV273: $i,SV257: $i,SV181: $i,SV306: $i] :
( ( ( aNaturalNumber0 @ SV306 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV306 ) )
= $false )
| ( ( ( sK28_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)],[3430]) ).
thf(3481,plain,
! [SV273: $i,SV257: $i,SV181: $i,SV307: $i] :
( ( ( aNaturalNumber0 @ SV307 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV307 ) )
= $false )
| ( ( ( sK28_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)],[3431]) ).
thf(3482,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( SV274
= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3432]) ).
thf(3483,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK27_SY92 @ 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 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3433]) ).
thf(3484,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_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)],[3434]) ).
thf(3485,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_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)],[3435]) ).
thf(3486,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3436]) ).
thf(3487,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3437]) ).
thf(3488,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( SV275
= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ 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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3438]) ).
thf(3489,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK23_SY91 @ 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 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3439]) ).
thf(3490,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK22_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)],[3440]) ).
thf(3491,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_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 @ ( sK22_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)],[3441]) ).
thf(3492,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_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 )
| ( ( ( sK22_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)],[3442]) ).
thf(3493,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_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 )
| ( ( ( sK22_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)],[3443]) ).
thf(3494,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( SV276
= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ 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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3444]) ).
thf(3495,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK20_SY90 @ 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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3445]) ).
thf(3496,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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK19_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)],[3446]) ).
thf(3497,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_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 @ ( sK19_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)],[3447]) ).
thf(3498,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK19_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)],[3448]) ).
thf(3499,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( ( sK19_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)],[3449]) ).
thf(3500,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( SV277
= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ 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)],[3450]) ).
thf(3501,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( aNaturalNumber0 @ ( sK17_SY89 @ 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)],[3451]) ).
thf(3502,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 @ ( sK16_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)],[3452]) ).
thf(3503,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 )
| ( ( ( sK16_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)],[3454]) ).
thf(3504,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 )
| ( ( ( sK16_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)],[3455]) ).
thf(3505,plain,
! [SV292: $i,SV181: $i,SV278: $i,SV262: $i] :
( ( ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV278 @ ( 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)],[3456]) ).
thf(3506,plain,
! [SV292: $i,SV181: $i,SV262: $i,SV278: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV278 @ ( 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)],[3456]) ).
thf(3507,plain,
! [SV292: $i,SV181: $i,SV278: $i,SV262: $i] :
( ( ( ( SV262
!= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) ) )
= $false )
| ( ( 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)],[3457]) ).
thf(3508,plain,
! [SV292: $i,SV181: $i,SV262: $i,SV278: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $false )
| ( ( 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)],[3457]) ).
thf(3509,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3458]) ).
thf(3510,plain,
! [SV181: $i,SV254: $i,SV270: $i] :
( ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ! [SY382: $i] :
( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SY382 ) )
| ~ ( aNaturalNumber0 @ SY382 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3459]) ).
thf(3511,plain,
! [SV308: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV308 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3460]) ).
thf(3512,plain,
! [SV296: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_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)],[3461]) ).
thf(3513,plain,
! [SV300: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3462]) ).
thf(3514,plain,
! [SV301: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3463]) ).
thf(3515,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3464]) ).
thf(3516,plain,
! [SV181: $i,SV255: $i,SV271: $i] :
( ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( ! [SY383: $i] :
( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SY383 ) )
| ~ ( aNaturalNumber0 @ SY383 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3465]) ).
thf(3517,plain,
! [SV309: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV309 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV309 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3466]) ).
thf(3518,plain,
! [SV297: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK34_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)],[3467]) ).
thf(3519,plain,
! [SV302: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK34_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)],[3468]) ).
thf(3520,plain,
! [SV303: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK34_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)],[3469]) ).
thf(3521,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3470]) ).
thf(3522,plain,
! [SV181: $i,SV256: $i,SV272: $i] :
( ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ SV272 @ SV256 @ SV181 ) )
= $true )
| ( ( ! [SY384: $i] :
( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SY384 ) )
| ~ ( aNaturalNumber0 @ SY384 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ( doDivides0 @ SV272 @ SV181 )
| ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3471]) ).
thf(3523,plain,
! [SV310: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV310 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV310 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3472]) ).
thf(3524,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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK31_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)],[3473]) ).
thf(3525,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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK31_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)],[3474]) ).
thf(3526,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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK31_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)],[3475]) ).
thf(3527,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( SV273
= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3476]) ).
thf(3528,plain,
! [SV181: $i,SV257: $i,SV273: $i] :
( ( ( SV273 = sz00 )
= $true )
| ( ( SV273 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_SY93 @ SV273 @ SV257 @ SV181 ) )
= $true )
| ( ( ! [SY385: $i] :
( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SY385 ) )
| ~ ( aNaturalNumber0 @ SY385 ) ) )
= $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)],[3477]) ).
thf(3529,plain,
! [SV311: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV311 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV311 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK28_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)],[3478]) ).
thf(3530,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 @ ( sK28_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)],[3479]) ).
thf(3531,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 )
| ( ( ( sK28_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)],[3480]) ).
thf(3532,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 )
| ( ( ( sK28_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)],[3481]) ).
thf(3533,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3482]) ).
thf(3534,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3483]) ).
thf(3535,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_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)],[3484]) ).
thf(3536,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_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)],[3485]) ).
thf(3537,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_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)],[3485]) ).
thf(3538,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3486]) ).
thf(3539,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3487]) ).
thf(3540,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275
= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3488]) ).
thf(3541,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( ~ ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) ) )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3489]) ).
thf(3542,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK22_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)],[3490]) ).
thf(3543,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_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 @ ( sK22_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)],[3491]) ).
thf(3544,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_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 @ ( sK22_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)],[3491]) ).
thf(3545,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_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 )
| ( ( ( sK22_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)],[3492]) ).
thf(3546,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_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 )
| ( ( ( sK22_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)],[3493]) ).
thf(3547,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276
= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ 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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3494]) ).
thf(3548,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_SY90 @ 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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3495]) ).
thf(3549,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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK19_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)],[3496]) ).
thf(3550,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_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 @ ( sK19_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)],[3497]) ).
thf(3551,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_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 @ ( sK19_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)],[3497]) ).
thf(3552,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_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 )
| ( ( ( sK19_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)],[3498]) ).
thf(3553,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_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 )
| ( ( ( sK19_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)],[3499]) ).
thf(3554,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( SV277
= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ 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)],[3500]) ).
thf(3555,plain,
! [SV181: $i,SV261: $i,SV277: $i] :
( ( ( SV277 = sz00 )
= $true )
| ( ( SV277 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK17_SY89 @ 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)],[3501]) ).
thf(3556,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 @ ( sK16_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)],[3502]) ).
thf(3557,plain,
! [SV292: $i,SV181: $i,SV278: $i,SV262: $i] :
( ( ( SV262
= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV278 @ ( 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)],[3505]) ).
thf(3558,plain,
! [SV292: $i,SV181: $i,SV262: $i,SV278: $i] :
( ( ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV278 @ ( 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)],[3506]) ).
thf(3559,plain,
! [SV292: $i,SV181: $i,SV278: $i,SV262: $i] :
( ( ( SV262
= ( sdtasdt0 @ SV278 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) ) )
= $true )
| ( ( 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)],[3507]) ).
thf(3560,plain,
! [SV292: $i,SV181: $i,SV262: $i,SV278: $i] :
( ( ( aNaturalNumber0 @ ( sK14_W3 @ SV278 @ SV262 @ SV181 ) )
= $true )
| ( ( 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)],[3508]) ).
thf(3561,plain,
! [SV312: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV312 ) )
| ~ ( aNaturalNumber0 @ SV312 ) )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3509]) ).
thf(3562,plain,
! [SV313: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV313 ) )
| ~ ( aNaturalNumber0 @ SV313 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3510]) ).
thf(3563,plain,
! [SV270: $i,SV254: $i,SV181: $i,SV308: $i] :
( ( ( aNaturalNumber0 @ SV308 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV308 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK38_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 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3511]) ).
thf(3564,plain,
! [SV296: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_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)],[3512]) ).
thf(3565,plain,
! [SV300: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3513]) ).
thf(3566,plain,
! [SV301: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3514]) ).
thf(3567,plain,
! [SV314: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV314 ) )
| ~ ( aNaturalNumber0 @ SV314 ) )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3515]) ).
thf(3568,plain,
! [SV315: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV315 ) )
| ~ ( aNaturalNumber0 @ SV315 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3516]) ).
thf(3569,plain,
! [SV271: $i,SV255: $i,SV181: $i,SV309: $i] :
( ( ( aNaturalNumber0 @ SV309 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV309 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK34_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 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3517]) ).
thf(3570,plain,
! [SV297: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_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 @ ( sK34_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)],[3518]) ).
thf(3571,plain,
! [SV302: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK34_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)],[3519]) ).
thf(3572,plain,
! [SV303: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( ( sK34_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)],[3520]) ).
thf(3573,plain,
! [SV316: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV316 ) )
| ~ ( aNaturalNumber0 @ SV316 ) )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ 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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3521]) ).
thf(3574,plain,
! [SV317: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV317 ) )
| ~ ( aNaturalNumber0 @ SV317 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ 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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3522]) ).
thf(3575,plain,
! [SV272: $i,SV256: $i,SV181: $i,SV310: $i] :
( ( ( aNaturalNumber0 @ SV310 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV310 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK31_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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3523]) ).
thf(3576,plain,
! [SV298: $i,SV256: $i,SV181: $i,SV272: $i] :
( ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK31_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)],[3524]) ).
thf(3577,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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK31_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)],[3525]) ).
thf(3578,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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK31_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)],[3526]) ).
thf(3579,plain,
! [SV318: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV318 ) )
| ~ ( aNaturalNumber0 @ SV318 ) )
= $true )
| ( ( SV273
= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ 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)],[3527]) ).
thf(3580,plain,
! [SV319: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV319 ) )
| ~ ( aNaturalNumber0 @ SV319 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_SY93 @ 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)],[3528]) ).
thf(3581,plain,
! [SV273: $i,SV257: $i,SV181: $i,SV311: $i] :
( ( ( aNaturalNumber0 @ SV311 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV311 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK28_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)],[3529]) ).
thf(3582,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 @ ( sK28_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)],[3530]) ).
thf(3583,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 )
| ( ( ( sK28_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)],[3531]) ).
thf(3584,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 )
| ( ( ( sK28_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)],[3532]) ).
thf(3585,plain,
! [SV258: $i,SV181: $i,SV274: $i] :
( ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( SV274
= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3533]) ).
thf(3586,plain,
! [SV258: $i,SV181: $i,SV274: $i] :
( ( ( doDivides0 @ SV274 @ ( sdtasdt0 @ SV181 @ SV258 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV258 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV274 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3534]) ).
thf(3587,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_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)],[3535]) ).
thf(3588,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_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)],[3536]) ).
thf(3589,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK26_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)],[3537]) ).
thf(3590,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3538]) ).
thf(3591,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3538]) ).
thf(3592,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3539]) ).
thf(3593,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3539]) ).
thf(3594,plain,
! [SV259: $i,SV181: $i,SV275: $i] :
( ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( SV275
= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) ) )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3540]) ).
thf(3595,plain,
! [SV259: $i,SV181: $i,SV275: $i] :
( ( ( doDivides0 @ SV275 @ ( sdtasdt0 @ SV181 @ SV259 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK23_SY91 @ SV275 @ SV259 @ SV181 ) )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( aNaturalNumber0 @ SV259 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3541]) ).
thf(3596,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_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 @ ( sK22_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)],[3542]) ).
thf(3597,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV275 @ ( sK21_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 @ ( sK22_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)],[3543]) ).
thf(3598,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK21_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 @ ( sK22_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)],[3544]) ).
thf(3599,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_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 )
| ( ( ( sK22_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)],[3545]) ).
thf(3600,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_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 )
| ( ( ( sK22_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)],[3545]) ).
thf(3601,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_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 )
| ( ( ( sK22_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)],[3546]) ).
thf(3602,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_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 )
| ( ( ( sK22_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)],[3546]) ).
thf(3603,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( SV276
= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ 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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3547]) ).
thf(3604,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ ( sdtasdt0 @ SV181 @ SV260 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK20_SY90 @ 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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV260 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3548]) ).
thf(3605,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV260 ) @ SV276 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK19_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)],[3549]) ).
thf(3606,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( SV260
= ( sdtasdt0 @ SV276 @ ( sK18_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 @ ( sK19_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)],[3550]) ).
thf(3607,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK18_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 @ ( sK19_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)],[3551]) ).
thf(3608,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_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 )
| ( ( ( sK19_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)],[3552]) ).
thf(3609,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_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 )
| ( ( ( sK19_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)],[3552]) ).
thf(3610,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_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 )
| ( ( ( sK19_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)],[3553]) ).
thf(3611,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_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 )
| ( ( ( sK19_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)],[3553]) ).
thf(3612,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( SV277
= ( sdtasdt0 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ 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)],[3554]) ).
thf(3613,plain,
! [SV261: $i,SV181: $i,SV277: $i] :
( ( ( doDivides0 @ SV277 @ ( sdtasdt0 @ SV181 @ SV261 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK17_SY89 @ 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)],[3555]) ).
thf(3614,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 @ ( sK16_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)],[3556]) ).
thf(3615,plain,
! [SV312: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV312 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV312 ) )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3561]) ).
thf(3616,plain,
! [SV313: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV254 )
!= ( sdtasdt0 @ SV270 @ SV313 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV313 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3562]) ).
thf(3617,plain,
! [SV308: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_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)],[3563]) ).
thf(3618,plain,
! [SV296: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_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)],[3564]) ).
thf(3619,plain,
! [SV300: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3565]) ).
thf(3620,plain,
! [SV301: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3566]) ).
thf(3621,plain,
! [SV314: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV314 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV314 ) )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3567]) ).
thf(3622,plain,
! [SV315: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV255 )
!= ( sdtasdt0 @ SV271 @ SV315 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV315 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3568]) ).
thf(3623,plain,
! [SV309: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_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)],[3569]) ).
thf(3624,plain,
! [SV297: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_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 @ ( sK34_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)],[3570]) ).
thf(3625,plain,
! [SV302: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_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 )
| ( ( ( sK34_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)],[3571]) ).
thf(3626,plain,
! [SV303: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_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 )
| ( ( ( sK34_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)],[3572]) ).
thf(3627,plain,
! [SV316: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV316 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV316 ) )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ 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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3573]) ).
thf(3628,plain,
! [SV317: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV256 )
!= ( sdtasdt0 @ SV272 @ SV317 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV317 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ 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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3574]) ).
thf(3629,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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_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)],[3575]) ).
thf(3630,plain,
! [SV298: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_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 @ ( sK31_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)],[3576]) ).
thf(3631,plain,
! [SV304: $i,SV256: $i,SV181: $i,SV272: $i] :
( ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK31_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)],[3577]) ).
thf(3632,plain,
! [SV305: $i,SV256: $i,SV181: $i,SV272: $i] :
( ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( ( sK31_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)],[3578]) ).
thf(3633,plain,
! [SV318: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV318 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV318 ) )
= $true )
| ( ( SV273
= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ 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)],[3579]) ).
thf(3634,plain,
! [SV319: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( ( sdtasdt0 @ SV181 @ SV257 )
!= ( sdtasdt0 @ SV273 @ SV319 ) ) )
= $true )
| ( ( ~ ( aNaturalNumber0 @ SV319 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_SY93 @ 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)],[3580]) ).
thf(3635,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 @ ( sK28_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)],[3581]) ).
thf(3636,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 )
| ( ( ( sK28_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)],[3583]) ).
thf(3637,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 )
| ( ( ( sK28_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)],[3584]) ).
thf(3638,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3585]) ).
thf(3639,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ 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)],[3586]) ).
thf(3640,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_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)],[3587]) ).
thf(3641,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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 @ ( sK26_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)],[3588]) ).
thf(3642,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( 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 @ ( sK26_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)],[3589]) ).
thf(3643,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3590]) ).
thf(3644,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3591]) ).
thf(3645,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3592]) ).
thf(3646,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3593]) ).
thf(3647,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275
= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ 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)],[3594]) ).
thf(3648,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_SY91 @ 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)],[3595]) ).
thf(3649,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_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 @ ( sK22_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)],[3596]) ).
thf(3650,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV275 @ ( sK21_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 )
| ( ( ( sK22_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)],[3599]) ).
thf(3651,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK21_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 )
| ( ( ( sK22_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)],[3600]) ).
thf(3652,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV275 @ ( sK21_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 )
| ( ( ( sK22_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)],[3601]) ).
thf(3653,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK21_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 )
| ( ( ( sK22_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)],[3602]) ).
thf(3654,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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276
= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ 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)],[3603]) ).
thf(3655,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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_SY90 @ 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)],[3604]) ).
thf(3656,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_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 @ ( sK19_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)],[3605]) ).
thf(3657,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( SV260
= ( sdtasdt0 @ SV276 @ ( sK18_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 )
| ( ( ( sK19_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)],[3608]) ).
thf(3658,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK18_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 )
| ( ( ( sK19_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)],[3609]) ).
thf(3659,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( SV260
= ( sdtasdt0 @ SV276 @ ( sK18_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 )
| ( ( ( sK19_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)],[3610]) ).
thf(3660,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK18_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 )
| ( ( ( sK19_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)],[3611]) ).
thf(3661,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 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ 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)],[3612]) ).
thf(3662,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_SY89 @ 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)],[3613]) ).
thf(3663,plain,
! [SV312: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV312 ) )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3615]) ).
thf(3664,plain,
! [SV313: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV313 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3616]) ).
thf(3665,plain,
! [SV308: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_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)],[3617]) ).
thf(3666,plain,
! [SV296: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_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)],[3618]) ).
thf(3667,plain,
! [SV296: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_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)],[3618]) ).
thf(3668,plain,
! [SV300: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3619]) ).
thf(3669,plain,
! [SV301: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3620]) ).
thf(3670,plain,
! [SV314: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV314 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV314 ) )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3621]) ).
thf(3671,plain,
! [SV315: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV315 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV315 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3622]) ).
thf(3672,plain,
! [SV309: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK34_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)],[3623]) ).
thf(3673,plain,
! [SV297: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_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 @ ( sK34_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)],[3624]) ).
thf(3674,plain,
! [SV297: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_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 @ ( sK34_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)],[3624]) ).
thf(3675,plain,
! [SV302: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_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 )
| ( ( ( sK34_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)],[3625]) ).
thf(3676,plain,
! [SV303: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_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 )
| ( ( ( sK34_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)],[3626]) ).
thf(3677,plain,
! [SV316: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV316 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV316 ) )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ 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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3627]) ).
thf(3678,plain,
! [SV317: $i,SV272: $i,SV256: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV317 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV317 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ 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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3628]) ).
thf(3679,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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_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)],[3629]) ).
thf(3680,plain,
! [SV298: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_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 @ ( sK31_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)],[3630]) ).
thf(3681,plain,
! [SV298: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_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 @ ( sK31_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)],[3630]) ).
thf(3682,plain,
! [SV304: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_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 )
| ( ( ( sK31_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)],[3631]) ).
thf(3683,plain,
! [SV305: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_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 )
| ( ( ( sK31_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)],[3632]) ).
thf(3684,plain,
! [SV318: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV318 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV318 ) )
= $true )
| ( ( SV273
= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ 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)],[3633]) ).
thf(3685,plain,
! [SV319: $i,SV273: $i,SV257: $i,SV181: $i] :
( ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV319 ) )
= $false )
| ( ( ~ ( aNaturalNumber0 @ SV319 ) )
= $true )
| ( ( aNaturalNumber0 @ ( sK29_SY93 @ 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)],[3634]) ).
thf(3686,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 @ ( sK28_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)],[3635]) ).
thf(3687,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( SV274
= ( sdtasdt0 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3638]) ).
thf(3688,plain,
! [SV274: $i,SV258: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK27_SY92 @ 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)],[3639]) ).
thf(3689,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_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)],[3640]) ).
thf(3690,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_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)],[3640]) ).
thf(3691,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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 @ ( sK26_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)],[3641]) ).
thf(3692,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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 @ ( sK26_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)],[3641]) ).
thf(3693,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( 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 @ ( sK26_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)],[3642]) ).
thf(3694,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( 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 @ ( sK26_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)],[3642]) ).
thf(3695,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3643]) ).
thf(3696,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( 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 )
| ( ( ( sK26_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)],[3644]) ).
thf(3697,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3645]) ).
thf(3698,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( 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 )
| ( ( ( sK26_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)],[3646]) ).
thf(3699,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( SV275
= ( sdtasdt0 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ 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)],[3647]) ).
thf(3700,plain,
! [SV275: $i,SV259: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV259 ) @ SV275 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ( doDivides0 @ SV275 @ SV259 ) )
= $true )
| ( ( SV275 = sz00 )
= $true )
| ( ( SV275 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK23_SY91 @ 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)],[3648]) ).
thf(3701,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_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 @ ( sK22_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)],[3649]) ).
thf(3702,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_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 @ ( sK22_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)],[3649]) ).
thf(3703,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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( SV276
= ( sdtasdt0 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ 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)],[3654]) ).
thf(3704,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 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) ) )
= $true )
| ( ( SV276 = sz00 )
= $true )
| ( ( SV276 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK20_SY90 @ 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)],[3655]) ).
thf(3705,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_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 @ ( sK19_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)],[3656]) ).
thf(3706,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_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 @ ( sK19_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)],[3656]) ).
thf(3707,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 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ 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)],[3661]) ).
thf(3708,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_SY89 @ 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)],[3662]) ).
thf(3709,plain,
! [SV270: $i,SV254: $i,SV181: $i,SV312: $i] :
( ( ( aNaturalNumber0 @ SV312 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV312 ) )
= $false )
| ( ( SV270
= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3663]) ).
thf(3710,plain,
! [SV270: $i,SV254: $i,SV181: $i,SV313: $i] :
( ( ( aNaturalNumber0 @ SV313 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV254 )
= ( sdtasdt0 @ SV270 @ SV313 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV254 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3664]) ).
thf(3711,plain,
! [SV308: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_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)],[3665]) ).
thf(3712,plain,
! [SV296: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_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)],[3666]) ).
thf(3713,plain,
! [SV296: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( doDivides0 @ ( sK38_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)],[3667]) ).
thf(3714,plain,
! [SV300: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3668]) ).
thf(3715,plain,
! [SV300: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3668]) ).
thf(3716,plain,
! [SV301: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3669]) ).
thf(3717,plain,
! [SV301: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3669]) ).
thf(3718,plain,
! [SV271: $i,SV255: $i,SV181: $i,SV314: $i] :
( ( ( aNaturalNumber0 @ SV314 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV314 ) )
= $false )
| ( ( SV271
= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3670]) ).
thf(3719,plain,
! [SV271: $i,SV255: $i,SV181: $i,SV315: $i] :
( ( ( aNaturalNumber0 @ SV315 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV255 )
= ( sdtasdt0 @ SV271 @ SV315 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ SV271 @ SV255 @ SV181 ) )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
| ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( aNaturalNumber0 @ SV255 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3671]) ).
thf(3720,plain,
! [SV309: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_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 @ ( sK34_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)],[3672]) ).
thf(3721,plain,
! [SV297: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV271 @ ( sK33_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 @ ( sK34_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)],[3673]) ).
thf(3722,plain,
! [SV297: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK33_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 @ ( sK34_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)],[3674]) ).
thf(3723,plain,
! [SV302: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_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 )
| ( ( ( sK34_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)],[3675]) ).
thf(3724,plain,
! [SV302: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_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 )
| ( ( ( sK34_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)],[3675]) ).
thf(3725,plain,
! [SV303: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_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 )
| ( ( ( sK34_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)],[3676]) ).
thf(3726,plain,
! [SV303: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_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 )
| ( ( ( sK34_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)],[3676]) ).
thf(3727,plain,
! [SV272: $i,SV256: $i,SV181: $i,SV316: $i] :
( ( ( aNaturalNumber0 @ SV316 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV316 ) )
= $false )
| ( ( SV272
= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ 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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3677]) ).
thf(3728,plain,
! [SV272: $i,SV256: $i,SV181: $i,SV317: $i] :
( ( ( aNaturalNumber0 @ SV317 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV256 )
= ( sdtasdt0 @ SV272 @ SV317 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ 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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( aNaturalNumber0 @ SV256 )
= $false )
| ( ( aNaturalNumber0 @ SV181 )
= $false )
| ( ( aNaturalNumber0 @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3678]) ).
thf(3729,plain,
! [SV310: $i,SV256: $i,SV181: $i,SV272: $i] :
( ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV256 ) @ SV272 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK31_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)],[3679]) ).
thf(3730,plain,
! [SV298: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( SV256
= ( sdtasdt0 @ SV272 @ ( sK30_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 @ ( sK31_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)],[3680]) ).
thf(3731,plain,
! [SV298: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK30_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 @ ( sK31_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)],[3681]) ).
thf(3732,plain,
! [SV304: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_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 )
| ( ( ( sK31_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)],[3682]) ).
thf(3733,plain,
! [SV304: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_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 )
| ( ( ( sK31_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)],[3682]) ).
thf(3734,plain,
! [SV305: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_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 )
| ( ( ( sK31_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)],[3683]) ).
thf(3735,plain,
! [SV305: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_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 )
| ( ( ( sK31_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)],[3683]) ).
thf(3736,plain,
! [SV273: $i,SV257: $i,SV181: $i,SV318: $i] :
( ( ( aNaturalNumber0 @ SV318 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV318 ) )
= $false )
| ( ( SV273
= ( sdtasdt0 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ 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)],[3684]) ).
thf(3737,plain,
! [SV273: $i,SV257: $i,SV181: $i,SV319: $i] :
( ( ( aNaturalNumber0 @ SV319 )
= $false )
| ( ( ( sdtasdt0 @ SV181 @ SV257 )
= ( sdtasdt0 @ SV273 @ SV319 ) )
= $false )
| ( ( aNaturalNumber0 @ ( sK29_SY93 @ 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)],[3685]) ).
thf(3738,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 @ ( sK28_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)],[3686]) ).
thf(3739,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3687]) ).
thf(3740,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_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_SY92 @ 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)],[3688]) ).
thf(3741,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_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)],[3689]) ).
thf(3742,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK26_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)],[3690]) ).
thf(3743,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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 @ ( sK26_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)],[3691]) ).
thf(3744,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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 @ ( sK26_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)],[3692]) ).
thf(3745,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( 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 @ ( sK26_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)],[3693]) ).
thf(3746,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( 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 @ ( sK26_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)],[3694]) ).
thf(3747,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3695]) ).
thf(3748,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3695]) ).
thf(3749,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( 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 )
| ( ( ( sK26_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)],[3696]) ).
thf(3750,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( 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 )
| ( ( ( sK26_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)],[3696]) ).
thf(3751,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3697]) ).
thf(3752,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3697]) ).
thf(3753,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( 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 )
| ( ( ( sK26_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)],[3698]) ).
thf(3754,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( 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 )
| ( ( ( sK26_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)],[3698]) ).
thf(3755,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_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 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ 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)],[3699]) ).
thf(3756,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_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_SY91 @ 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)],[3700]) ).
thf(3757,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV275 @ ( sK21_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 @ ( sK22_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)],[3701]) ).
thf(3758,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK21_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 @ ( sK22_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)],[3702]) ).
thf(3759,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_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 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ 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)],[3703]) ).
thf(3760,plain,
! [SV260: $i,SV181: $i,SV276: $i] :
( ( ( doDivides0 @ SV276 @ SV181 )
= $true )
| ( ( ~ ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_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_SY90 @ 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)],[3704]) ).
thf(3761,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( SV260
= ( sdtasdt0 @ SV276 @ ( sK18_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 @ ( sK19_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)],[3705]) ).
thf(3762,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK18_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 @ ( sK19_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)],[3706]) ).
thf(3763,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 @ ( sK16_W3 @ SV277 @ SV261 @ SV181 ) @ ( sK17_SY89 @ 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)],[3707]) ).
thf(3764,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_SY89 @ 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)],[3708]) ).
thf(3765,plain,
! [SV312: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3709]) ).
thf(3766,plain,
! [SV313: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ 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)],[3710]) ).
thf(3767,plain,
! [SV308: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_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)],[3711]) ).
thf(3768,plain,
! [SV296: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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 @ ( sK38_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)],[3712]) ).
thf(3769,plain,
! [SV296: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( 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 @ ( sK38_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)],[3713]) ).
thf(3770,plain,
! [SV300: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3714]) ).
thf(3771,plain,
! [SV300: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3715]) ).
thf(3772,plain,
! [SV301: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3716]) ).
thf(3773,plain,
! [SV301: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3717]) ).
thf(3774,plain,
! [SV314: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ 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)],[3718]) ).
thf(3775,plain,
! [SV315: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( ~ ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) ) )
= $true )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ 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)],[3719]) ).
thf(3776,plain,
! [SV309: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_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 @ ( sK34_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)],[3720]) ).
thf(3777,plain,
! [SV302: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV271 @ ( sK33_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 )
| ( ( ( sK34_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)],[3723]) ).
thf(3778,plain,
! [SV302: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK33_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 )
| ( ( ( sK34_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)],[3724]) ).
thf(3779,plain,
! [SV303: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV271 @ ( sK33_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 )
| ( ( ( sK34_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)],[3725]) ).
thf(3780,plain,
! [SV303: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK33_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 )
| ( ( ( sK34_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)],[3726]) ).
thf(3781,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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ 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)],[3727]) ).
thf(3782,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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ 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)],[3728]) ).
thf(3783,plain,
! [SV310: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_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 @ ( sK31_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)],[3729]) ).
thf(3784,plain,
! [SV304: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( SV256
= ( sdtasdt0 @ SV272 @ ( sK30_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 )
| ( ( ( sK31_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)],[3732]) ).
thf(3785,plain,
! [SV304: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK30_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 )
| ( ( ( sK31_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)],[3733]) ).
thf(3786,plain,
! [SV305: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( SV256
= ( sdtasdt0 @ SV272 @ ( sK30_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 )
| ( ( ( sK31_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)],[3734]) ).
thf(3787,plain,
! [SV305: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK30_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 )
| ( ( ( sK31_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)],[3735]) ).
thf(3788,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 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ 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)],[3736]) ).
thf(3789,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 @ ( sK29_SY93 @ 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)],[3737]) ).
thf(3790,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3739]) ).
thf(3791,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_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_SY92 @ 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)],[3740]) ).
thf(3792,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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 @ ( sK26_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)],[3741]) ).
thf(3793,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( 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 @ ( sK26_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)],[3742]) ).
thf(3794,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3747]) ).
thf(3795,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3748]) ).
thf(3796,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( 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 )
| ( ( ( sK26_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)],[3749]) ).
thf(3797,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( 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 )
| ( ( ( sK26_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)],[3750]) ).
thf(3798,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3751]) ).
thf(3799,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV258 ) @ SV274 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV274 = sz00 )
= $true )
| ( ( SV274 = sz10 )
= $true )
| ( ( ( sK26_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)],[3752]) ).
thf(3800,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( 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 )
| ( ( ( sK26_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)],[3753]) ).
thf(3801,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( 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 )
| ( ( ( sK26_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)],[3754]) ).
thf(3802,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_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 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ 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)],[3755]) ).
thf(3803,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_W3 @ SV275 @ SV259 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK21_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_SY91 @ 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)],[3756]) ).
thf(3804,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_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 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ 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)],[3759]) ).
thf(3805,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_W3 @ SV276 @ SV260 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK18_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_SY90 @ 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)],[3760]) ).
thf(3806,plain,
! [SV312: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( SV270
= ( sdtasdt0 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3765]) ).
thf(3807,plain,
! [SV313: $i,SV270: $i,SV254: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK39_SY96 @ 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)],[3766]) ).
thf(3808,plain,
! [SV308: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_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)],[3767]) ).
thf(3809,plain,
! [SV308: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_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)],[3767]) ).
thf(3810,plain,
! [SV296: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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 @ ( sK38_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)],[3768]) ).
thf(3811,plain,
! [SV296: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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 @ ( sK38_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)],[3768]) ).
thf(3812,plain,
! [SV296: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( 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 @ ( sK38_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)],[3769]) ).
thf(3813,plain,
! [SV296: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( 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 @ ( sK38_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)],[3769]) ).
thf(3814,plain,
! [SV300: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3770]) ).
thf(3815,plain,
! [SV300: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( 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 )
| ( ( ( sK38_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)],[3771]) ).
thf(3816,plain,
! [SV301: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3772]) ).
thf(3817,plain,
! [SV301: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( 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 )
| ( ( ( sK38_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)],[3773]) ).
thf(3818,plain,
! [SV314: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( SV271
= ( sdtasdt0 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ 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)],[3774]) ).
thf(3819,plain,
! [SV315: $i,SV271: $i,SV255: $i,SV181: $i] :
( ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV255 ) @ SV271 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ( doDivides0 @ SV271 @ SV255 ) )
= $true )
| ( ( SV271 = sz00 )
= $true )
| ( ( SV271 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK35_SY95 @ 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)],[3775]) ).
thf(3820,plain,
! [SV309: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_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 @ ( sK34_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)],[3776]) ).
thf(3821,plain,
! [SV309: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_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 @ ( sK34_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)],[3776]) ).
thf(3822,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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( SV272
= ( sdtasdt0 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ 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)],[3781]) ).
thf(3823,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 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) ) )
= $true )
| ( ( SV272 = sz00 )
= $true )
| ( ( SV272 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK32_SY94 @ 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)],[3782]) ).
thf(3824,plain,
! [SV310: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_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 @ ( sK31_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)],[3783]) ).
thf(3825,plain,
! [SV310: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_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 @ ( sK31_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)],[3783]) ).
thf(3826,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 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ 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)],[3788]) ).
thf(3827,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 @ ( sK29_SY93 @ 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)],[3789]) ).
thf(3828,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3790]) ).
thf(3829,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3790]) ).
thf(3830,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_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_SY92 @ 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)],[3791]) ).
thf(3831,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_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_SY92 @ 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)],[3791]) ).
thf(3832,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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 @ ( sK26_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)],[3792]) ).
thf(3833,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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 @ ( sK26_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)],[3792]) ).
thf(3834,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( 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 @ ( sK26_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)],[3793]) ).
thf(3835,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( 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 @ ( sK26_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)],[3793]) ).
thf(3836,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_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 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ 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)],[3802]) ).
thf(3837,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_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 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ 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)],[3802]) ).
thf(3838,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV275 @ ( sK21_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_SY91 @ 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)],[3803]) ).
thf(3839,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK21_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_SY91 @ 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)],[3803]) ).
thf(3840,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_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 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ 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)],[3804]) ).
thf(3841,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_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 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ 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)],[3804]) ).
thf(3842,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( ( SV260
!= ( sdtasdt0 @ SV276 @ ( sK18_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_SY90 @ 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)],[3805]) ).
thf(3843,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK18_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_SY90 @ 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)],[3805]) ).
thf(3844,plain,
! [SV312: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3806]) ).
thf(3845,plain,
! [SV313: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_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_SY96 @ 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)],[3807]) ).
thf(3846,plain,
! [SV308: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_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)],[3808]) ).
thf(3847,plain,
! [SV308: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( aNaturalNumber0 @ ( sK38_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)],[3809]) ).
thf(3848,plain,
! [SV296: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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 @ ( sK38_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)],[3810]) ).
thf(3849,plain,
! [SV296: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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 @ ( sK38_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)],[3811]) ).
thf(3850,plain,
! [SV296: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( 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 @ ( sK38_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)],[3812]) ).
thf(3851,plain,
! [SV296: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( 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 @ ( sK38_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)],[3813]) ).
thf(3852,plain,
! [SV300: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3814]) ).
thf(3853,plain,
! [SV300: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3814]) ).
thf(3854,plain,
! [SV300: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( 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 )
| ( ( ( sK38_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)],[3815]) ).
thf(3855,plain,
! [SV300: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( 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 )
| ( ( ( sK38_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)],[3815]) ).
thf(3856,plain,
! [SV301: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3816]) ).
thf(3857,plain,
! [SV301: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3816]) ).
thf(3858,plain,
! [SV301: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( 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 )
| ( ( ( sK38_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)],[3817]) ).
thf(3859,plain,
! [SV301: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( 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 )
| ( ( ( sK38_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)],[3817]) ).
thf(3860,plain,
! [SV314: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_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 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ 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)],[3818]) ).
thf(3861,plain,
! [SV315: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ~ ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_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_SY95 @ 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)],[3819]) ).
thf(3862,plain,
! [SV309: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV271 @ ( sK33_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 @ ( sK34_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)],[3820]) ).
thf(3863,plain,
! [SV309: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK33_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 @ ( sK34_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)],[3821]) ).
thf(3864,plain,
! [SV316: $i,SV256: $i,SV181: $i,SV272: $i] :
( ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_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 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ 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)],[3822]) ).
thf(3865,plain,
! [SV317: $i,SV256: $i,SV181: $i,SV272: $i] :
( ( ( doDivides0 @ SV272 @ SV181 )
= $true )
| ( ( ~ ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_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_SY94 @ 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)],[3823]) ).
thf(3866,plain,
! [SV310: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( SV256
= ( sdtasdt0 @ SV272 @ ( sK30_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 @ ( sK31_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)],[3824]) ).
thf(3867,plain,
! [SV310: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK30_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 @ ( sK31_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)],[3825]) ).
thf(3868,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 @ ( sK28_W3 @ SV273 @ SV257 @ SV181 ) @ ( sK29_SY93 @ 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)],[3826]) ).
thf(3869,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 @ ( sK29_SY93 @ 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)],[3827]) ).
thf(3870,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3828]) ).
thf(3871,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3829]) ).
thf(3872,plain,
! [SV258: $i,SV274: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV274 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_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_SY92 @ 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)],[3830]) ).
thf(3873,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK25_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_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_SY92 @ 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)],[3831]) ).
thf(3874,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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 @ ( sK26_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)],[3832]) ).
thf(3875,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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 @ ( sK26_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)],[3833]) ).
thf(3876,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( 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 @ ( sK26_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)],[3834]) ).
thf(3877,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( 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 @ ( sK26_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)],[3835]) ).
thf(3878,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV275 @ ( sK21_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 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ 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)],[3836]) ).
thf(3879,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK21_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 @ ( sK22_W3 @ SV275 @ SV259 @ SV181 ) @ ( sK23_SY91 @ 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)],[3837]) ).
thf(3880,plain,
! [SV259: $i,SV275: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV275 @ ( sK21_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_SY91 @ 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)],[3838]) ).
thf(3881,plain,
! [SV181: $i,SV259: $i,SV275: $i] :
( ( ( aNaturalNumber0 @ ( sK21_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_SY91 @ 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)],[3839]) ).
thf(3882,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( SV260
= ( sdtasdt0 @ SV276 @ ( sK18_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 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ 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)],[3840]) ).
thf(3883,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK18_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 @ ( sK19_W3 @ SV276 @ SV260 @ SV181 ) @ ( sK20_SY90 @ 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)],[3841]) ).
thf(3884,plain,
! [SV181: $i,SV276: $i,SV260: $i] :
( ( ( SV260
= ( sdtasdt0 @ SV276 @ ( sK18_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_SY90 @ 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)],[3842]) ).
thf(3885,plain,
! [SV181: $i,SV260: $i,SV276: $i] :
( ( ( aNaturalNumber0 @ ( sK18_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_SY90 @ 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)],[3843]) ).
thf(3886,plain,
! [SV312: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3844]) ).
thf(3887,plain,
! [SV313: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_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_SY96 @ 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)],[3845]) ).
thf(3888,plain,
! [SV308: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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 @ ( sK38_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)],[3846]) ).
thf(3889,plain,
! [SV308: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( 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 @ ( sK38_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)],[3847]) ).
thf(3890,plain,
! [SV300: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3852]) ).
thf(3891,plain,
! [SV300: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3853]) ).
thf(3892,plain,
! [SV300: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( 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 )
| ( ( ( sK38_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)],[3854]) ).
thf(3893,plain,
! [SV300: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( 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 )
| ( ( ( sK38_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)],[3855]) ).
thf(3894,plain,
! [SV301: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3856]) ).
thf(3895,plain,
! [SV301: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( iLess0 @ ( sdtpldt0 @ ( sdtpldt0 @ SV181 @ SV254 ) @ SV270 ) @ ( sdtpldt0 @ ( sdtpldt0 @ xn @ xm ) @ xp ) )
= $false )
| ( ( SV270 = sz00 )
= $true )
| ( ( SV270 = sz10 )
= $true )
| ( ( ( sK38_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)],[3857]) ).
thf(3896,plain,
! [SV301: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( 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 )
| ( ( ( sK38_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)],[3858]) ).
thf(3897,plain,
! [SV301: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( 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 )
| ( ( ( sK38_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)],[3859]) ).
thf(3898,plain,
! [SV314: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_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 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ 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)],[3860]) ).
thf(3899,plain,
! [SV315: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_W3 @ SV271 @ SV255 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK33_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_SY95 @ 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)],[3861]) ).
thf(3900,plain,
! [SV316: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_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 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ 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)],[3864]) ).
thf(3901,plain,
! [SV317: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_W3 @ SV272 @ SV256 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK30_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_SY94 @ 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)],[3865]) ).
thf(3902,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3870]) ).
thf(3903,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( 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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3871]) ).
thf(3904,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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_SY92 @ 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)],[3872]) ).
thf(3905,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( 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_SY92 @ 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)],[3873]) ).
thf(3906,plain,
! [SV312: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3886]) ).
thf(3907,plain,
! [SV312: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3886]) ).
thf(3908,plain,
! [SV313: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_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_SY96 @ 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)],[3887]) ).
thf(3909,plain,
! [SV313: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_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_SY96 @ 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)],[3887]) ).
thf(3910,plain,
! [SV308: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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 @ ( sK38_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)],[3888]) ).
thf(3911,plain,
! [SV308: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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 @ ( sK38_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)],[3888]) ).
thf(3912,plain,
! [SV308: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( 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 @ ( sK38_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)],[3889]) ).
thf(3913,plain,
! [SV308: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( 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 @ ( sK38_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)],[3889]) ).
thf(3914,plain,
! [SV314: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_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 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ 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)],[3898]) ).
thf(3915,plain,
! [SV314: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_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 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ 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)],[3898]) ).
thf(3916,plain,
! [SV315: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( ( SV181
!= ( sdtasdt0 @ SV271 @ ( sK33_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_SY95 @ 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)],[3899]) ).
thf(3917,plain,
! [SV315: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK33_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_SY95 @ 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)],[3899]) ).
thf(3918,plain,
! [SV316: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_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 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ 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)],[3900]) ).
thf(3919,plain,
! [SV316: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_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 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ 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)],[3900]) ).
thf(3920,plain,
! [SV317: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( ( SV256
!= ( sdtasdt0 @ SV272 @ ( sK30_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_SY94 @ 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)],[3901]) ).
thf(3921,plain,
! [SV317: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK30_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_SY94 @ 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)],[3901]) ).
thf(3922,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3902]) ).
thf(3923,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3902]) ).
thf(3924,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( 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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3903]) ).
thf(3925,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( 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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3903]) ).
thf(3926,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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_SY92 @ 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)],[3904]) ).
thf(3927,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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_SY92 @ 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)],[3904]) ).
thf(3928,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( ( SV258
!= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) ) )
= $false )
| ( ( 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_SY92 @ 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)],[3905]) ).
thf(3929,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $false )
| ( ( 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_SY92 @ 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)],[3905]) ).
thf(3930,plain,
! [SV312: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3906]) ).
thf(3931,plain,
! [SV312: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3907]) ).
thf(3932,plain,
! [SV313: $i,SV254: $i,SV270: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV270 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_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_SY96 @ 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)],[3908]) ).
thf(3933,plain,
! [SV313: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK37_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( ~ ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_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_SY96 @ 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)],[3909]) ).
thf(3934,plain,
! [SV308: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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 @ ( sK38_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)],[3910]) ).
thf(3935,plain,
! [SV308: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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 @ ( sK38_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)],[3911]) ).
thf(3936,plain,
! [SV308: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( 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 @ ( sK38_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)],[3912]) ).
thf(3937,plain,
! [SV308: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( 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 @ ( sK38_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)],[3913]) ).
thf(3938,plain,
! [SV314: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV271 @ ( sK33_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 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ 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)],[3914]) ).
thf(3939,plain,
! [SV314: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK33_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 @ ( sK34_W3 @ SV271 @ SV255 @ SV181 ) @ ( sK35_SY95 @ 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)],[3915]) ).
thf(3940,plain,
! [SV315: $i,SV255: $i,SV271: $i,SV181: $i] :
( ( ( SV181
= ( sdtasdt0 @ SV271 @ ( sK33_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_SY95 @ 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)],[3916]) ).
thf(3941,plain,
! [SV315: $i,SV181: $i,SV255: $i,SV271: $i] :
( ( ( aNaturalNumber0 @ ( sK33_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_SY95 @ 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)],[3917]) ).
thf(3942,plain,
! [SV316: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( SV256
= ( sdtasdt0 @ SV272 @ ( sK30_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 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ 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)],[3918]) ).
thf(3943,plain,
! [SV316: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK30_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 @ ( sK31_W3 @ SV272 @ SV256 @ SV181 ) @ ( sK32_SY94 @ 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)],[3919]) ).
thf(3944,plain,
! [SV317: $i,SV181: $i,SV272: $i,SV256: $i] :
( ( ( SV256
= ( sdtasdt0 @ SV272 @ ( sK30_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_SY94 @ 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)],[3920]) ).
thf(3945,plain,
! [SV317: $i,SV181: $i,SV256: $i,SV272: $i] :
( ( ( aNaturalNumber0 @ ( sK30_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_SY94 @ 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)],[3921]) ).
thf(3946,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3922]) ).
thf(3947,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3923]) ).
thf(3948,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( 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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3924]) ).
thf(3949,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( 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 @ ( sK26_W3 @ SV274 @ SV258 @ SV181 ) @ ( sK27_SY92 @ 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)],[3925]) ).
thf(3950,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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_SY92 @ 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)],[3926]) ).
thf(3951,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV274 @ ( 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_SY92 @ 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)],[3927]) ).
thf(3952,plain,
! [SV181: $i,SV274: $i,SV258: $i] :
( ( ( SV258
= ( sdtasdt0 @ SV274 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) ) )
= $true )
| ( ( 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_SY92 @ 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)],[3928]) ).
thf(3953,plain,
! [SV181: $i,SV258: $i,SV274: $i] :
( ( ( aNaturalNumber0 @ ( sK24_W3 @ SV274 @ SV258 @ SV181 ) )
= $true )
| ( ( 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_SY92 @ 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)],[3929]) ).
thf(3954,plain,
! [SV312: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3930]) ).
thf(3955,plain,
! [SV312: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( 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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3931]) ).
thf(3956,plain,
! [SV313: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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_SY96 @ 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)],[3932]) ).
thf(3957,plain,
! [SV313: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
| ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( 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_SY96 @ 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)],[3933]) ).
thf(3958,plain,
! [SV312: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3954]) ).
thf(3959,plain,
! [SV312: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3954]) ).
thf(3960,plain,
! [SV312: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( 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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3955]) ).
thf(3961,plain,
! [SV312: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( 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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3955]) ).
thf(3962,plain,
! [SV313: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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_SY96 @ 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)],[3956]) ).
thf(3963,plain,
! [SV313: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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_SY96 @ 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)],[3956]) ).
thf(3964,plain,
! [SV313: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( ( SV254
!= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) ) )
= $false )
| ( ( 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_SY96 @ 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)],[3957]) ).
thf(3965,plain,
! [SV313: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( ~ ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $false )
| ( ( 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_SY96 @ 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)],[3957]) ).
thf(3966,plain,
! [SV312: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3958]) ).
thf(3967,plain,
! [SV312: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3959]) ).
thf(3968,plain,
! [SV312: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( 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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3960]) ).
thf(3969,plain,
! [SV312: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( 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 @ ( sK38_W3 @ SV270 @ SV254 @ SV181 ) @ ( sK39_SY96 @ 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)],[3961]) ).
thf(3970,plain,
! [SV313: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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_SY96 @ 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)],[3962]) ).
thf(3971,plain,
! [SV313: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( SV181
= ( sdtasdt0 @ SV270 @ ( 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_SY96 @ 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)],[3963]) ).
thf(3972,plain,
! [SV313: $i,SV181: $i,SV270: $i,SV254: $i] :
( ( ( SV254
= ( sdtasdt0 @ SV270 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) ) )
= $true )
| ( ( 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_SY96 @ 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)],[3964]) ).
thf(3973,plain,
! [SV313: $i,SV181: $i,SV254: $i,SV270: $i] :
( ( ( aNaturalNumber0 @ ( sK36_W3 @ SV270 @ SV254 @ SV181 ) )
= $true )
| ( ( 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_SY96 @ 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)],[3965]) ).
thf(3974,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2064,3973,3972,3971,3970,3969,3968,3967,3966,3953,3952,3951,3950,3949,3948,3947,3946,3945,3944,3943,3942,3941,3940,3939,3938,3937,3936,3935,3934,3897,3896,3895,3894,3893,3892,3891,3890,3885,3884,3883,3882,3881,3880,3879,3878,3877,3876,3875,3874,3869,3868,3867,3866,3863,3862,3851,3850,3849,3848,3801,3800,3799,3798,3797,3796,3795,3794,3787,3786,3785,3784,3780,3779,3778,3777,3764,3763,3762,3761,3758,3757,3746,3745,3744,3743,3738,3731,3730,3722,3721,3660,3659,3658,3657,3653,3652,3651,3650,3637,3636,3614,3607,3606,3598,3597,3582,3560,3559,3558,3557,3504,3503,3453,3407,3406,3405,3404,3403,3402,3401,3400,3262,3261,3260,3259,3256,3139,3051,3017,2999,2998,2996,2978,2974,2973,2950,2927,2920,2919,2896,2894,2864,2863,2859,2840,2812,2805,2804,2803,2801,2793,2792,2732,2729,2728,2727,2726,2725,2724,2721,2689,2682,2681,2664,2663,2652,2640,2619,2616,2609,2608,2607,2606,2605,2601,2600,2599,2597,2596,2591,2566,2562,2559,2558,2557,2550,2538,2507,2494,2481,2468,2457,2456,2452,2451,2446,2445,2444,2443,2434,2433,2414,2408,2406,2405,2404,2348,2347,2344,2343,2332,2331,2326,2314,2291,2287,2281,2278,2274,2257,2248,2234,2122]) ).
thf(3975,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3974,2051]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM502+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
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jul 6 11:01:23 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.40
% 0.20/0.40 No.of.Axioms: 44
% 0.20/0.40
% 0.20/0.40 Length.of.Defs: 0
% 0.20/0.40
% 0.20/0.40 Contains.Choice.Funs: false
% 0.20/0.42 .
% 0.20/0.45 (rf:0,axioms:44,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:46,loop_count:0,foatp_calls:0,translation:fof_full)............................................................................................................................................................................................
% 21.18/21.37
% 21.18/21.37 ********************************
% 21.18/21.37 * All subproblems solved! *
% 21.18/21.37 ********************************
% 21.18/21.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:44,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:64,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3974,loop_count:0,foatp_calls:1,translation:fof_full)
% 31.89/32.10
% 31.89/32.10 %**** Beginning of derivation protocol ****
% 31.89/32.10 % SZS output start CNFRefutation
% See solution above
% 31.89/32.12
% 31.89/32.12 %**** End of derivation protocol ****
% 31.89/32.12 %**** no. of clauses in derivation: 3975 ****
% 31.89/32.12 %**** clause counter: 3974 ****
% 31.89/32.12
% 31.89/32.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:44,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:64,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3974,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------