%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : RNG059+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:37:37 AM UTC 2026
% Result : Theorem 1.76s 0.65s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 18
% Syntax : Number of formulae : 283 ( 109 unt; 0 typ; 0 def)
% Number of atoms : 2505 (1076 equ; 0 cnn)
% Maximal formula atoms : 9 ( 8 avg)
% Number of connectives : 5641 (1327 ~; 816 |; 105 &;3354 @)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 31 usr; 20 con; 0-2 aty)
% Number of variables : 560 ( 0 ^; 560 !; 0 ?; 560 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_aDimensionOf0,type,
aDimensionOf0: $i > $i ).
thf(tp_aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
thf(tp_aScalar0,type,
aScalar0: $i > $o ).
thf(tp_aVector0,type,
aVector0: $i > $o ).
thf(tp_iLess0,type,
iLess0: $i > $i > $o ).
thf(tp_sdtasasdt0,type,
sdtasasdt0: $i > $i > $i ).
thf(tp_sdtasdt0,type,
sdtasdt0: $i > $i > $i ).
thf(tp_sdtlbdtrb0,type,
sdtlbdtrb0: $i > $i > $i ).
thf(tp_sdtlseqdt0,type,
sdtlseqdt0: $i > $i > $o ).
thf(tp_sdtpldt0,type,
sdtpldt0: $i > $i > $i ).
thf(tp_smndt0,type,
smndt0: $i > $i ).
thf(tp_sz00,type,
sz00: $i ).
thf(tp_sz0z00,type,
sz0z00: $i ).
thf(tp_sziznziztdt0,type,
sziznziztdt0: $i > $i ).
thf(tp_szszuzczcdt0,type,
szszuzczcdt0: $i > $i ).
thf(tp_xA,type,
xA: $i ).
thf(tp_xB,type,
xB: $i ).
thf(tp_xC,type,
xC: $i ).
thf(tp_xD,type,
xD: $i ).
thf(tp_xE,type,
xE: $i ).
thf(tp_xF,type,
xF: $i ).
thf(tp_xG,type,
xG: $i ).
thf(tp_xH,type,
xH: $i ).
thf(tp_xN,type,
xN: $i ).
thf(tp_xP,type,
xP: $i ).
thf(tp_xR,type,
xR: $i ).
thf(tp_xS,type,
xS: $i ).
thf(tp_xp,type,
xp: $i ).
thf(tp_xq,type,
xq: $i ).
thf(tp_xs,type,
xs: $i ).
thf(tp_xt,type,
xt: $i ).
thf(9,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ sz0z00 @ W0 )
& ( sdtlseqdt0 @ sz0z00 @ W1 )
& ( ( sdtasdt0 @ W0 @ W0 )
= ( sdtasdt0 @ W1 @ W1 ) ) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqrt) ).
thf(10,axiom,
! [W0: $i] :
( ( aScalar0 @ W0 )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ W0 @ W0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
thf(13,axiom,
! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 )
& ( aScalar0 @ W3 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ sz0z00 @ W2 )
& ( sdtlseqdt0 @ W2 @ W3 ) )
=> ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
thf(19,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( sdtasdt0 @ ( smndt0 @ W0 ) @ ( smndt0 @ W1 ) )
= ( sdtasdt0 @ W0 @ W1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).
thf(20,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( smndt0 @ W1 ) )
= ( smndt0 @ ( sdtasdt0 @ W0 @ W1 ) ) )
& ( ( sdtasdt0 @ ( smndt0 @ W0 ) @ W1 )
= ( smndt0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
thf(21,axiom,
! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 )
& ( aScalar0 @ W3 ) )
=> ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt0 @ W2 @ W3 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W0 @ W3 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W2 ) @ ( sdtasdt0 @ W1 @ W3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr2) ).
thf(22,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).
thf(23,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 ) )
=> ( ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) )
& ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) )
& ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) )
& ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).
thf(24,axiom,
! [W0: $i] :
( ( aScalar0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz0z00 )
= W0 )
& ( ( sdtpldt0 @ sz0z00 @ W0 )
= W0 )
& ( ( sdtasdt0 @ W0 @ sz0z00 )
= sz0z00 )
& ( ( sdtasdt0 @ sz0z00 @ W0 )
= sz0z00 )
& ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz0z00 )
& ( ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 )
= sz0z00 )
& ( ( smndt0 @ ( smndt0 @ W0 ) )
= W0 )
& ( ( smndt0 @ sz0z00 )
= sz0z00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
thf(25,axiom,
! [W0: $i] :
( ( aScalar0 @ W0 )
=> ( aScalar0 @ ( smndt0 @ W0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
thf(26,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( aScalar0 @ ( sdtasdt0 @ W0 @ W1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
thf(37,axiom,
sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2004) ).
thf(39,axiom,
( ( aScalar0 @ xN )
& ( xN
= ( sdtasdt0 @ xR @ xS ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
thf(40,axiom,
( ( aScalar0 @ xS )
& ( xS
= ( sdtasdt0 @ xF @ xD ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
thf(42,axiom,
( ( aScalar0 @ xR )
& ( xR
= ( sdtasdt0 @ xC @ xG ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
thf(44,axiom,
( ( aScalar0 @ xG )
& ( xG
= ( sdtasdt0 @ xB @ xB ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
thf(45,axiom,
( ( aScalar0 @ xF )
& ( xF
= ( sdtasdt0 @ xA @ xA ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
thf(57,conjecture,
( ( sdtasdt0 @ ( smndt0 @ xS ) @ xR )
= ( smndt0 @ xN ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
thf(58,negated_conjecture,
( ( ( sdtasdt0 @ ( smndt0 @ xS ) @ xR )
= ( smndt0 @ xN ) )
= $false ),
inference(negate_conjecture,[status(cth)],[57]) ).
thf(59,plain,
( ( ( sdtasdt0 @ ( smndt0 @ xS ) @ xR )
= ( smndt0 @ xN ) )
= $false ),
inference(unfold_def,[status(thm)],[58]) ).
thf(60,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ sz0z00 @ W0 )
& ( sdtlseqdt0 @ sz0z00 @ W1 )
& ( ( sdtasdt0 @ W0 @ W0 )
= ( sdtasdt0 @ W1 @ W1 ) ) )
=> ( W0 = W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(61,plain,
( ( ! [W0: $i] :
( ( aScalar0 @ W0 )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ W0 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(62,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 )
& ( aScalar0 @ W3 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ sz0z00 @ W2 )
& ( sdtlseqdt0 @ W2 @ W3 ) )
=> ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(63,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( sdtasdt0 @ ( smndt0 @ W0 ) @ ( smndt0 @ W1 ) )
= ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(64,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( smndt0 @ W1 ) )
= ( smndt0 @ ( sdtasdt0 @ W0 @ W1 ) ) )
& ( ( sdtasdt0 @ ( smndt0 @ W0 ) @ W1 )
= ( smndt0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(65,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 )
& ( aScalar0 @ W3 ) )
=> ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt0 @ W2 @ W3 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W0 @ W3 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W2 ) @ ( sdtasdt0 @ W1 @ W3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(66,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(67,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 ) )
=> ( ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) )
& ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) )
& ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) )
& ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(68,plain,
( ( ! [W0: $i] :
( ( aScalar0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz0z00 )
= W0 )
& ( ( sdtpldt0 @ sz0z00 @ W0 )
= W0 )
& ( ( sdtasdt0 @ W0 @ sz0z00 )
= sz0z00 )
& ( ( sdtasdt0 @ sz0z00 @ W0 )
= sz0z00 )
& ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz0z00 )
& ( ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 )
= sz0z00 )
& ( ( smndt0 @ ( smndt0 @ W0 ) )
= W0 )
& ( ( smndt0 @ sz0z00 )
= sz0z00 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(69,plain,
( ( ! [W0: $i] :
( ( aScalar0 @ W0 )
=> ( aScalar0 @ ( smndt0 @ W0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(70,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( aScalar0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(71,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(72,plain,
( ( ( aScalar0 @ xN )
& ( xN
= ( sdtasdt0 @ xR @ xS ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(73,plain,
( ( ( aScalar0 @ xS )
& ( xS
= ( sdtasdt0 @ xF @ xD ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(74,plain,
( ( ( aScalar0 @ xR )
& ( xR
= ( sdtasdt0 @ xC @ xG ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(75,plain,
( ( ( aScalar0 @ xG )
& ( xG
= ( sdtasdt0 @ xB @ xB ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(76,plain,
( ( ( aScalar0 @ xF )
& ( xF
= ( sdtasdt0 @ xA @ xA ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(77,plain,
( ( ( sdtasdt0 @ ( smndt0 @ xS ) @ xR )
!= ( smndt0 @ xN ) )
= $true ),
inference(polarity_switch,[status(thm)],[59]) ).
thf(78,plain,
( ( ( aScalar0 @ xF )
& ( xF
= ( sdtasdt0 @ xA @ xA ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(79,plain,
( ( ( aScalar0 @ xG )
& ( xG
= ( sdtasdt0 @ xB @ xB ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(80,plain,
( ( ( aScalar0 @ xR )
& ( xR
= ( sdtasdt0 @ xC @ xG ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(81,plain,
( ( ( aScalar0 @ xS )
& ( xS
= ( sdtasdt0 @ xF @ xD ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(82,plain,
( ( ( aScalar0 @ xN )
& ( xN
= ( sdtasdt0 @ xR @ xS ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(83,plain,
( ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(84,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( aScalar0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(85,plain,
( ( ! [W0: $i] :
( ( aScalar0 @ W0 )
=> ( aScalar0 @ ( smndt0 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(86,plain,
( ( ! [W0: $i] :
( ( aScalar0 @ W0 )
=> ( ( ( sdtpldt0 @ W0 @ sz0z00 )
= W0 )
& ( ( sdtpldt0 @ sz0z00 @ W0 )
= W0 )
& ( ( sdtasdt0 @ W0 @ sz0z00 )
= sz0z00 )
& ( ( sdtasdt0 @ sz0z00 @ W0 )
= sz0z00 )
& ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
= sz0z00 )
& ( ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 )
= sz0z00 )
& ( ( smndt0 @ ( smndt0 @ W0 ) )
= W0 )
& ( ( smndt0 @ sz0z00 )
= sz0z00 ) ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(87,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 ) )
=> ( ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) )
& ( ( sdtpldt0 @ W0 @ W1 )
= ( sdtpldt0 @ W1 @ W0 ) )
& ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
= ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) )
& ( ( sdtasdt0 @ W0 @ W1 )
= ( sdtasdt0 @ W1 @ W0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(88,plain,
( ( ! [W0: $i,W1: $i,W2: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W1 ) @ ( sdtasdt0 @ W0 @ W2 ) ) )
& ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
= ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(89,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 )
& ( aScalar0 @ W3 ) )
=> ( ( sdtasdt0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt0 @ W2 @ W3 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W0 @ W3 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ W1 @ W2 ) @ ( sdtasdt0 @ W1 @ W3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(90,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( ( sdtasdt0 @ W0 @ ( smndt0 @ W1 ) )
= ( smndt0 @ ( sdtasdt0 @ W0 @ W1 ) ) )
& ( ( sdtasdt0 @ ( smndt0 @ W0 ) @ W1 )
= ( smndt0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(91,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( sdtasdt0 @ ( smndt0 @ W0 ) @ ( smndt0 @ W1 ) )
= ( sdtasdt0 @ W0 @ W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(92,plain,
( ( ! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 )
& ( aScalar0 @ W3 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ sz0z00 @ W2 )
& ( sdtlseqdt0 @ W2 @ W3 ) )
=> ( sdtlseqdt0 @ ( sdtasdt0 @ W0 @ W2 ) @ ( sdtasdt0 @ W1 @ W3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(93,plain,
( ( ! [W0: $i] :
( ( aScalar0 @ W0 )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ W0 @ W0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(94,plain,
( ( ! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ sz0z00 @ W0 )
& ( sdtlseqdt0 @ sz0z00 @ W1 )
& ( ( sdtasdt0 @ W0 @ W0 )
= ( sdtasdt0 @ W1 @ W1 ) ) )
=> ( W0 = W1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(95,plain,
( ( ( sdtasdt0 @ ( smndt0 @ xS ) @ xR )
!= ( smndt0 @ xN ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(96,plain,
( ( ! [SX0: $i] :
( ~ ( aScalar0 @ SX0 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SX0 @ sz0z00 )
!= SX0 )
| ( ( sdtpldt0 @ sz0z00 @ SX0 )
!= SX0 ) )
| ( ( sdtasdt0 @ SX0 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SX0 )
!= sz0z00 ) )
| ( ( sdtpldt0 @ SX0 @ ( smndt0 @ SX0 ) )
!= sz0z00 ) )
| ( ( sdtpldt0 @ ( smndt0 @ SX0 ) @ SX0 )
!= sz0z00 ) )
| ( ( smndt0 @ ( smndt0 @ SX0 ) )
!= SX0 ) )
| ( ( smndt0 @ sz0z00 )
!= sz0z00 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(97,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SX0 )
| ~ ( aScalar0 @ SX1 ) )
| ~ ( aScalar0 @ SX2 ) )
| ~ ( ( ( sdtasdt0 @ SX0 @ ( sdtpldt0 @ SX1 @ SX2 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SX0 @ SX1 ) @ ( sdtasdt0 @ SX0 @ SX2 ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SX0 @ SX2 ) @ ( sdtasdt0 @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(98,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SX0 )
| ~ ( aScalar0 @ SX1 ) )
| ~ ( aScalar0 @ SX2 ) )
| ~ ( aScalar0 @ SX3 ) )
| ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SX0 @ SX1 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SX2 ) )
| ~ ( sdtlseqdt0 @ SX2 @ SX3 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SX0 @ SX2 ) @ ( sdtasdt0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(99,plain,
( ( ! [SX0: $i] :
( ~ ( aScalar0 @ SX0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ SX0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(100,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( aScalar0 @ SX0 )
| ~ ( aScalar0 @ SX1 ) )
| ( ( sdtasdt0 @ ( smndt0 @ SX0 ) @ ( smndt0 @ SX1 ) )
= ( sdtasdt0 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(101,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( aScalar0 @ SX0 )
| ~ ( aScalar0 @ SX1 ) )
| ( aScalar0 @ ( sdtasdt0 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(102,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SX0 )
| ~ ( aScalar0 @ SX1 ) )
| ~ ( aScalar0 @ SX2 ) )
| ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ SX2 )
!= ( sdtpldt0 @ SX0 @ ( sdtpldt0 @ SX1 @ SX2 ) ) )
| ( ( sdtpldt0 @ SX0 @ SX1 )
!= ( sdtpldt0 @ SX1 @ SX0 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SX0 @ SX1 ) @ SX2 )
!= ( sdtasdt0 @ SX0 @ ( sdtasdt0 @ SX1 @ SX2 ) ) ) )
| ( ( sdtasdt0 @ SX0 @ SX1 )
!= ( sdtasdt0 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(103,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( aScalar0 @ SX0 )
| ~ ( aScalar0 @ SX1 ) )
| ~ ( ( ( sdtasdt0 @ SX0 @ ( smndt0 @ SX1 ) )
!= ( smndt0 @ ( sdtasdt0 @ SX0 @ SX1 ) ) )
| ( ( sdtasdt0 @ ( smndt0 @ SX0 ) @ SX1 )
!= ( smndt0 @ ( sdtasdt0 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(104,plain,
( ( ! [SX0: $i] :
( ~ ( aScalar0 @ SX0 )
| ( aScalar0 @ ( smndt0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(105,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( aScalar0 @ SX0 )
| ~ ( aScalar0 @ SX1 ) )
| ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ sz0z00 @ SX0 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SX1 ) )
| ( ( sdtasdt0 @ SX0 @ SX0 )
!= ( sdtasdt0 @ SX1 @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(106,plain,
( ( ~ ( ~ ( aScalar0 @ xS )
| ( xS
!= ( sdtasdt0 @ xF @ xD ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(107,plain,
( ( ~ ( ~ ( aScalar0 @ xF )
| ( xF
!= ( sdtasdt0 @ xA @ xA ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(108,plain,
( ( ~ ( ~ ( aScalar0 @ xG )
| ( xG
!= ( sdtasdt0 @ xB @ xB ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(109,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SX0 )
| ~ ( aScalar0 @ SX1 ) )
| ~ ( aScalar0 @ SX2 ) )
| ~ ( aScalar0 @ SX3 ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SX0 @ SX1 ) @ ( sdtpldt0 @ SX2 @ SX3 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SX0 @ SX2 ) @ ( sdtasdt0 @ SX0 @ SX3 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SX1 @ SX2 ) @ ( sdtasdt0 @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(110,plain,
( ( ~ ( ~ ( aScalar0 @ xN )
| ( xN
!= ( sdtasdt0 @ xR @ xS ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(111,plain,
( ( ~ ( ~ ( aScalar0 @ xR )
| ( xR
!= ( sdtasdt0 @ xC @ xG ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(112,plain,
( ( ( sdtasdt0 @ ( smndt0 @ xS ) @ xR )
= ( smndt0 @ xN ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(113,plain,
! [SV1: $i] :
( ( ~ ( aScalar0 @ SV1 )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) )
| ( ( sdtpldt0 @ SV1 @ ( smndt0 @ SV1 ) )
!= sz0z00 ) )
| ( ( sdtpldt0 @ ( smndt0 @ SV1 ) @ SV1 )
!= sz0z00 ) )
| ( ( smndt0 @ ( smndt0 @ SV1 ) )
!= SV1 ) )
| ( ( smndt0 @ sz0z00 )
!= sz0z00 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(114,plain,
! [SV2: $i] :
( ( ! [SY25: $i,SY26: $i] :
( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV2 )
| ~ ( aScalar0 @ SY25 ) )
| ~ ( aScalar0 @ SY26 ) )
| ~ ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SY25 @ SY26 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SY25 ) @ ( sdtasdt0 @ SV2 @ SY26 ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SY25 ) @ SY26 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SY26 ) @ ( sdtasdt0 @ SY25 @ SY26 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(115,plain,
! [SV3: $i] :
( ( ! [SY27: $i,SY28: $i,SY29: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV3 )
| ~ ( aScalar0 @ SY27 ) )
| ~ ( aScalar0 @ SY28 ) )
| ~ ( aScalar0 @ SY29 ) )
| ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SY27 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SY28 ) )
| ~ ( sdtlseqdt0 @ SY28 @ SY29 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SY28 ) @ ( sdtasdt0 @ SY27 @ SY29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(116,plain,
! [SV4: $i] :
( ( ~ ( aScalar0 @ SV4 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ SV4 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(117,plain,
! [SV5: $i] :
( ( ! [SY30: $i] :
( ~ ~ ( ~ ( aScalar0 @ SV5 )
| ~ ( aScalar0 @ SY30 ) )
| ( ( sdtasdt0 @ ( smndt0 @ SV5 ) @ ( smndt0 @ SY30 ) )
= ( sdtasdt0 @ SV5 @ SY30 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(118,plain,
! [SV6: $i] :
( ( ! [SY31: $i] :
( ~ ~ ( ~ ( aScalar0 @ SV6 )
| ~ ( aScalar0 @ SY31 ) )
| ( aScalar0 @ ( sdtasdt0 @ SV6 @ SY31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(119,plain,
! [SV7: $i] :
( ( ! [SY32: $i,SY33: $i] :
( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV7 )
| ~ ( aScalar0 @ SY32 ) )
| ~ ( aScalar0 @ SY33 ) )
| ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SY32 ) @ SY33 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SY32 @ SY33 ) ) )
| ( ( sdtpldt0 @ SV7 @ SY32 )
!= ( sdtpldt0 @ SY32 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SY32 ) @ SY33 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SY32 @ SY33 ) ) ) )
| ( ( sdtasdt0 @ SV7 @ SY32 )
!= ( sdtasdt0 @ SY32 @ SV7 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(120,plain,
! [SV8: $i] :
( ( ! [SY34: $i] :
( ~ ~ ( ~ ( aScalar0 @ SV8 )
| ~ ( aScalar0 @ SY34 ) )
| ~ ( ( ( sdtasdt0 @ SV8 @ ( smndt0 @ SY34 ) )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SY34 ) ) )
| ( ( sdtasdt0 @ ( smndt0 @ SV8 ) @ SY34 )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SY34 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(121,plain,
! [SV9: $i] :
( ( ~ ( aScalar0 @ SV9 )
| ( aScalar0 @ ( smndt0 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(122,plain,
! [SV10: $i] :
( ( ! [SY35: $i] :
( ~ ~ ( ~ ( aScalar0 @ SV10 )
| ~ ( aScalar0 @ SY35 ) )
| ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ sz0z00 @ SV10 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SY35 ) )
| ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SY35 @ SY35 ) ) )
| ( SV10 = SY35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(123,plain,
( ( ~ ( aScalar0 @ xS )
| ( xS
!= ( sdtasdt0 @ xF @ xD ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(124,plain,
( ( ~ ( aScalar0 @ xF )
| ( xF
!= ( sdtasdt0 @ xA @ xA ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(125,plain,
( ( ~ ( aScalar0 @ xG )
| ( xG
!= ( sdtasdt0 @ xB @ xB ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(126,plain,
! [SV11: $i] :
( ( ! [SY36: $i,SY37: $i,SY38: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV11 )
| ~ ( aScalar0 @ SY36 ) )
| ~ ( aScalar0 @ SY37 ) )
| ~ ( aScalar0 @ SY38 ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SY36 ) @ ( sdtpldt0 @ SY37 @ SY38 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SY37 ) @ ( sdtasdt0 @ SV11 @ SY38 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SY36 @ SY37 ) @ ( sdtasdt0 @ SY36 @ SY38 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(127,plain,
( ( ~ ( aScalar0 @ xN )
| ( xN
!= ( sdtasdt0 @ xR @ xS ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(128,plain,
( ( ~ ( aScalar0 @ xR )
| ( xR
!= ( sdtasdt0 @ xC @ xG ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(129,plain,
! [SV1: $i] :
( ( ( ~ ( aScalar0 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) )
| ( ( sdtpldt0 @ SV1 @ ( smndt0 @ SV1 ) )
!= sz0z00 ) )
| ( ( sdtpldt0 @ ( smndt0 @ SV1 ) @ SV1 )
!= sz0z00 ) )
| ( ( smndt0 @ ( smndt0 @ SV1 ) )
!= SV1 ) )
| ( ( smndt0 @ sz0z00 )
!= sz0z00 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(130,plain,
! [SV12: $i,SV2: $i] :
( ( ! [SY39: $i] :
( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV2 )
| ~ ( aScalar0 @ SV12 ) )
| ~ ( aScalar0 @ SY39 ) )
| ~ ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SV12 @ SY39 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV12 ) @ ( sdtasdt0 @ SV2 @ SY39 ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SV12 ) @ SY39 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SY39 ) @ ( sdtasdt0 @ SV12 @ SY39 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(131,plain,
! [SV13: $i,SV3: $i] :
( ( ! [SY40: $i,SY41: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV3 )
| ~ ( aScalar0 @ SV13 ) )
| ~ ( aScalar0 @ SY40 ) )
| ~ ( aScalar0 @ SY41 ) )
| ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SY40 ) )
| ~ ( sdtlseqdt0 @ SY40 @ SY41 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SY40 ) @ ( sdtasdt0 @ SV13 @ SY41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(132,plain,
! [SV4: $i] :
( ( ( ~ ( aScalar0 @ SV4 ) )
= $true )
| ( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ SV4 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(133,plain,
! [SV14: $i,SV5: $i] :
( ( ~ ~ ( ~ ( aScalar0 @ SV5 )
| ~ ( aScalar0 @ SV14 ) )
| ( ( sdtasdt0 @ ( smndt0 @ SV5 ) @ ( smndt0 @ SV14 ) )
= ( sdtasdt0 @ SV5 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(134,plain,
! [SV15: $i,SV6: $i] :
( ( ~ ~ ( ~ ( aScalar0 @ SV6 )
| ~ ( aScalar0 @ SV15 ) )
| ( aScalar0 @ ( sdtasdt0 @ SV6 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(135,plain,
! [SV16: $i,SV7: $i] :
( ( ! [SY42: $i] :
( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV7 )
| ~ ( aScalar0 @ SV16 ) )
| ~ ( aScalar0 @ SY42 ) )
| ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SY42 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SY42 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SY42 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SY42 ) ) ) )
| ( ( sdtasdt0 @ SV7 @ SV16 )
!= ( sdtasdt0 @ SV16 @ SV7 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(136,plain,
! [SV17: $i,SV8: $i] :
( ( ~ ~ ( ~ ( aScalar0 @ SV8 )
| ~ ( aScalar0 @ SV17 ) )
| ~ ( ( ( sdtasdt0 @ SV8 @ ( smndt0 @ SV17 ) )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) )
| ( ( sdtasdt0 @ ( smndt0 @ SV8 ) @ SV17 )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(137,plain,
! [SV9: $i] :
( ( ( ~ ( aScalar0 @ SV9 ) )
= $true )
| ( ( aScalar0 @ ( smndt0 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(138,plain,
! [SV18: $i,SV10: $i] :
( ( ~ ~ ( ~ ( aScalar0 @ SV10 )
| ~ ( aScalar0 @ SV18 ) )
| ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ sz0z00 @ SV10 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV18 ) )
| ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) ) )
| ( SV10 = SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(139,plain,
( ( ~ ( aScalar0 @ xS ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(140,plain,
( ( xS
!= ( sdtasdt0 @ xF @ xD ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(141,plain,
( ( ~ ( aScalar0 @ xF ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(142,plain,
( ( xF
!= ( sdtasdt0 @ xA @ xA ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(143,plain,
( ( ~ ( aScalar0 @ xG ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(144,plain,
( ( xG
!= ( sdtasdt0 @ xB @ xB ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(145,plain,
! [SV19: $i,SV11: $i] :
( ( ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV11 )
| ~ ( aScalar0 @ SV19 ) )
| ~ ( aScalar0 @ SY43 ) )
| ~ ( aScalar0 @ SY44 ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SY43 @ SY44 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SY43 ) @ ( sdtasdt0 @ SV11 @ SY44 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SY43 ) @ ( sdtasdt0 @ SV19 @ SY44 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(146,plain,
( ( ~ ( aScalar0 @ xN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(147,plain,
( ( xN
!= ( sdtasdt0 @ xR @ xS ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(148,plain,
( ( ~ ( aScalar0 @ xR ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(149,plain,
( ( xR
!= ( sdtasdt0 @ xC @ xG ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(150,plain,
! [SV1: $i] :
( ( ( aScalar0 @ SV1 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) )
| ( ( sdtpldt0 @ SV1 @ ( smndt0 @ SV1 ) )
!= sz0z00 ) )
| ( ( sdtpldt0 @ ( smndt0 @ SV1 ) @ SV1 )
!= sz0z00 ) )
| ( ( smndt0 @ ( smndt0 @ SV1 ) )
!= SV1 ) )
| ( ( smndt0 @ sz0z00 )
!= sz0z00 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(151,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV2 )
| ~ ( aScalar0 @ SV12 ) )
| ~ ( aScalar0 @ SV20 ) )
| ~ ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SV12 @ SV20 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV12 ) @ ( sdtasdt0 @ SV2 @ SV20 ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SV12 ) @ SV20 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV20 ) @ ( sdtasdt0 @ SV12 @ SV20 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(152,plain,
! [SV21: $i,SV13: $i,SV3: $i] :
( ( ! [SY45: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV3 )
| ~ ( aScalar0 @ SV13 ) )
| ~ ( aScalar0 @ SV21 ) )
| ~ ( aScalar0 @ SY45 ) )
| ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SY45 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SY45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(153,plain,
! [SV4: $i] :
( ( ( aScalar0 @ SV4 )
= $false )
| ( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ SV4 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(154,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( aScalar0 @ SV5 )
| ~ ( aScalar0 @ SV14 ) ) )
= $true )
| ( ( ( sdtasdt0 @ ( smndt0 @ SV5 ) @ ( smndt0 @ SV14 ) )
= ( sdtasdt0 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(155,plain,
! [SV15: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ( aScalar0 @ SV6 )
| ~ ( aScalar0 @ SV15 ) ) )
= $true )
| ( ( aScalar0 @ ( sdtasdt0 @ SV6 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(156,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV7 )
| ~ ( aScalar0 @ SV16 ) )
| ~ ( aScalar0 @ SV22 ) )
| ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) ) )
| ( ( sdtasdt0 @ SV7 @ SV16 )
!= ( sdtasdt0 @ SV16 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(157,plain,
! [SV17: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( aScalar0 @ SV8 )
| ~ ( aScalar0 @ SV17 ) ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV8 @ ( smndt0 @ SV17 ) )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) )
| ( ( sdtasdt0 @ ( smndt0 @ SV8 ) @ SV17 )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(158,plain,
! [SV9: $i] :
( ( ( aScalar0 @ SV9 )
= $false )
| ( ( aScalar0 @ ( smndt0 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(159,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( aScalar0 @ SV10 )
| ~ ( aScalar0 @ SV18 ) ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ sz0z00 @ SV10 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV18 ) )
| ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) ) )
| ( SV10 = SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(160,plain,
( ( aScalar0 @ xS )
= $true ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(161,plain,
( ( xS
= ( sdtasdt0 @ xF @ xD ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(162,plain,
( ( aScalar0 @ xF )
= $true ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(163,plain,
( ( xF
= ( sdtasdt0 @ xA @ xA ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(164,plain,
( ( aScalar0 @ xG )
= $true ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(165,plain,
( ( xG
= ( sdtasdt0 @ xB @ xB ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(166,plain,
! [SV23: $i,SV19: $i,SV11: $i] :
( ( ! [SY46: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV11 )
| ~ ( aScalar0 @ SV19 ) )
| ~ ( aScalar0 @ SV23 ) )
| ~ ( aScalar0 @ SY46 ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SY46 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SY46 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SY46 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(167,plain,
( ( aScalar0 @ xN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(168,plain,
( ( xN
= ( sdtasdt0 @ xR @ xS ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(169,plain,
( ( aScalar0 @ xR )
= $true ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(170,plain,
( ( xR
= ( sdtasdt0 @ xC @ xG ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(171,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) )
| ( ( sdtpldt0 @ SV1 @ ( smndt0 @ SV1 ) )
!= sz0z00 ) )
| ( ( sdtpldt0 @ ( smndt0 @ SV1 ) @ SV1 )
!= sz0z00 ) )
| ( ( smndt0 @ ( smndt0 @ SV1 ) )
!= SV1 ) )
| ( ( smndt0 @ sz0z00 )
!= sz0z00 ) )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(172,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV2 )
| ~ ( aScalar0 @ SV12 ) )
| ~ ( aScalar0 @ SV20 ) ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SV12 @ SV20 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV12 ) @ ( sdtasdt0 @ SV2 @ SV20 ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SV12 ) @ SV20 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV20 ) @ ( sdtasdt0 @ SV12 @ SV20 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(173,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV3 )
| ~ ( aScalar0 @ SV13 ) )
| ~ ( aScalar0 @ SV21 ) )
| ~ ( aScalar0 @ SV24 ) )
| ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(174,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( ~ ( aScalar0 @ SV5 )
| ~ ( aScalar0 @ SV14 ) ) )
= $false )
| ( ( ( sdtasdt0 @ ( smndt0 @ SV5 ) @ ( smndt0 @ SV14 ) )
= ( sdtasdt0 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(175,plain,
! [SV15: $i,SV6: $i] :
( ( ( ~ ( ~ ( aScalar0 @ SV6 )
| ~ ( aScalar0 @ SV15 ) ) )
= $false )
| ( ( aScalar0 @ ( sdtasdt0 @ SV6 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(176,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV7 )
| ~ ( aScalar0 @ SV16 ) )
| ~ ( aScalar0 @ SV22 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) ) )
| ( ( sdtasdt0 @ SV7 @ SV16 )
!= ( sdtasdt0 @ SV16 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(177,plain,
! [SV17: $i,SV8: $i] :
( ( ( ~ ( ~ ( aScalar0 @ SV8 )
| ~ ( aScalar0 @ SV17 ) ) )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ SV8 @ ( smndt0 @ SV17 ) )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) )
| ( ( sdtasdt0 @ ( smndt0 @ SV8 ) @ SV17 )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(178,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ( ~ ( aScalar0 @ SV10 )
| ~ ( aScalar0 @ SV18 ) ) )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ sz0z00 @ SV10 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV18 ) )
| ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) ) )
| ( SV10 = SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(179,plain,
! [SV25: $i,SV23: $i,SV19: $i,SV11: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV11 )
| ~ ( aScalar0 @ SV19 ) )
| ~ ( aScalar0 @ SV23 ) )
| ~ ( aScalar0 @ SV25 ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SV25 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SV25 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(180,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) )
| ( ( sdtpldt0 @ SV1 @ ( smndt0 @ SV1 ) )
!= sz0z00 ) )
| ( ( sdtpldt0 @ ( smndt0 @ SV1 ) @ SV1 )
!= sz0z00 ) )
| ( ( smndt0 @ ( smndt0 @ SV1 ) )
!= SV1 ) ) )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(181,plain,
! [SV1: $i] :
( ( ( ( smndt0 @ sz0z00 )
!= sz0z00 )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(182,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aScalar0 @ SV2 )
| ~ ( aScalar0 @ SV12 ) )
| ~ ( aScalar0 @ SV20 ) ) )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SV12 @ SV20 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV12 ) @ ( sdtasdt0 @ SV2 @ SV20 ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SV12 ) @ SV20 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV20 ) @ ( sdtasdt0 @ SV12 @ SV20 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(183,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV3 )
| ~ ( aScalar0 @ SV13 ) )
| ~ ( aScalar0 @ SV21 ) )
| ~ ( aScalar0 @ SV24 ) ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(184,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( aScalar0 @ SV5 )
| ~ ( aScalar0 @ SV14 ) )
= $true )
| ( ( ( sdtasdt0 @ ( smndt0 @ SV5 ) @ ( smndt0 @ SV14 ) )
= ( sdtasdt0 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(185,plain,
! [SV15: $i,SV6: $i] :
( ( ( ~ ( aScalar0 @ SV6 )
| ~ ( aScalar0 @ SV15 ) )
= $true )
| ( ( aScalar0 @ ( sdtasdt0 @ SV6 @ SV15 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(186,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aScalar0 @ SV7 )
| ~ ( aScalar0 @ SV16 ) )
| ~ ( aScalar0 @ SV22 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) ) )
| ( ( sdtasdt0 @ SV7 @ SV16 )
!= ( sdtasdt0 @ SV16 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(187,plain,
! [SV17: $i,SV8: $i] :
( ( ( ~ ( aScalar0 @ SV8 )
| ~ ( aScalar0 @ SV17 ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV8 @ ( smndt0 @ SV17 ) )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) )
| ( ( sdtasdt0 @ ( smndt0 @ SV8 ) @ SV17 )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(188,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ( aScalar0 @ SV10 )
| ~ ( aScalar0 @ SV18 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ sz0z00 @ SV10 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV18 ) )
| ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) ) )
| ( SV10 = SV18 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(189,plain,
! [SV25: $i,SV23: $i,SV19: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV11 )
| ~ ( aScalar0 @ SV19 ) )
| ~ ( aScalar0 @ SV23 ) )
| ~ ( aScalar0 @ SV25 ) ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SV25 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SV25 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(190,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) )
| ( ( sdtpldt0 @ SV1 @ ( smndt0 @ SV1 ) )
!= sz0z00 ) )
| ( ( sdtpldt0 @ ( smndt0 @ SV1 ) @ SV1 )
!= sz0z00 ) )
| ( ( smndt0 @ ( smndt0 @ SV1 ) )
!= SV1 ) ) )
= $true )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(191,plain,
! [SV1: $i] :
( ( ( ( smndt0 @ sz0z00 )
= sz0z00 )
= $true )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(192,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( aScalar0 @ SV2 )
| ~ ( aScalar0 @ SV12 ) )
| ~ ( aScalar0 @ SV20 ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SV12 @ SV20 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV12 ) @ ( sdtasdt0 @ SV2 @ SV20 ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SV12 ) @ SV20 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV20 ) @ ( sdtasdt0 @ SV12 @ SV20 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(193,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV3 )
| ~ ( aScalar0 @ SV13 ) )
| ~ ( aScalar0 @ SV21 ) )
| ~ ( aScalar0 @ SV24 ) ) )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(194,plain,
! [SV14: $i,SV5: $i] :
( ( ( ~ ( aScalar0 @ SV5 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV14 ) )
= $true )
| ( ( ( sdtasdt0 @ ( smndt0 @ SV5 ) @ ( smndt0 @ SV14 ) )
= ( sdtasdt0 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(195,plain,
! [SV15: $i,SV6: $i] :
( ( ( ~ ( aScalar0 @ SV6 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV15 ) )
= $true )
| ( ( aScalar0 @ ( sdtasdt0 @ SV6 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(196,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( aScalar0 @ SV7 )
| ~ ( aScalar0 @ SV16 ) )
| ~ ( aScalar0 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) ) )
| ( ( sdtasdt0 @ SV7 @ SV16 )
!= ( sdtasdt0 @ SV16 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(197,plain,
! [SV17: $i,SV8: $i] :
( ( ( ~ ( aScalar0 @ SV8 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV17 ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV8 @ ( smndt0 @ SV17 ) )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) )
| ( ( sdtasdt0 @ ( smndt0 @ SV8 ) @ SV17 )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(198,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ( aScalar0 @ SV10 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV18 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ sz0z00 @ SV10 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV18 ) )
| ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) ) )
| ( SV10 = SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(199,plain,
! [SV25: $i,SV23: $i,SV19: $i,SV11: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV11 )
| ~ ( aScalar0 @ SV19 ) )
| ~ ( aScalar0 @ SV23 ) )
| ~ ( aScalar0 @ SV25 ) ) )
= $false )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SV25 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SV25 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(200,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) )
| ( ( sdtpldt0 @ SV1 @ ( smndt0 @ SV1 ) )
!= sz0z00 ) )
| ( ( sdtpldt0 @ ( smndt0 @ SV1 ) @ SV1 )
!= sz0z00 ) )
| ( ( smndt0 @ ( smndt0 @ SV1 ) )
!= SV1 ) )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(201,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( aScalar0 @ SV2 )
| ~ ( aScalar0 @ SV12 ) ) )
= $true )
| ( ( ~ ( aScalar0 @ SV20 ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SV12 @ SV20 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV12 ) @ ( sdtasdt0 @ SV2 @ SV20 ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SV12 ) @ SV20 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV20 ) @ ( sdtasdt0 @ SV12 @ SV20 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(202,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV3 )
| ~ ( aScalar0 @ SV13 ) )
| ~ ( aScalar0 @ SV21 ) )
| ~ ( aScalar0 @ SV24 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(203,plain,
! [SV14: $i,SV5: $i] :
( ( ( aScalar0 @ SV5 )
= $false )
| ( ( ~ ( aScalar0 @ SV14 ) )
= $true )
| ( ( ( sdtasdt0 @ ( smndt0 @ SV5 ) @ ( smndt0 @ SV14 ) )
= ( sdtasdt0 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(204,plain,
! [SV15: $i,SV6: $i] :
( ( ( aScalar0 @ SV6 )
= $false )
| ( ( ~ ( aScalar0 @ SV15 ) )
= $true )
| ( ( aScalar0 @ ( sdtasdt0 @ SV6 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(205,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( aScalar0 @ SV7 )
| ~ ( aScalar0 @ SV16 ) ) )
= $true )
| ( ( ~ ( aScalar0 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) ) )
| ( ( sdtasdt0 @ SV7 @ SV16 )
!= ( sdtasdt0 @ SV16 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(206,plain,
! [SV17: $i,SV8: $i] :
( ( ( aScalar0 @ SV8 )
= $false )
| ( ( ~ ( aScalar0 @ SV17 ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV8 @ ( smndt0 @ SV17 ) )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) )
| ( ( sdtasdt0 @ ( smndt0 @ SV8 ) @ SV17 )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(207,plain,
! [SV18: $i,SV10: $i] :
( ( ( aScalar0 @ SV10 )
= $false )
| ( ( ~ ( aScalar0 @ SV18 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ sz0z00 @ SV10 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV18 ) )
| ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) ) )
| ( SV10 = SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(208,plain,
! [SV25: $i,SV23: $i,SV19: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV11 )
| ~ ( aScalar0 @ SV19 ) )
| ~ ( aScalar0 @ SV23 ) )
| ~ ( aScalar0 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SV25 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SV25 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(209,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) )
| ( ( sdtpldt0 @ SV1 @ ( smndt0 @ SV1 ) )
!= sz0z00 ) )
| ( ( sdtpldt0 @ ( smndt0 @ SV1 ) @ SV1 )
!= sz0z00 ) ) )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(210,plain,
! [SV1: $i] :
( ( ( ( smndt0 @ ( smndt0 @ SV1 ) )
!= SV1 )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(211,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( ~ ( aScalar0 @ SV2 )
| ~ ( aScalar0 @ SV12 ) ) )
= $false )
| ( ( ~ ( aScalar0 @ SV20 ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SV12 @ SV20 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV12 ) @ ( sdtasdt0 @ SV2 @ SV20 ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SV12 ) @ SV20 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV20 ) @ ( sdtasdt0 @ SV12 @ SV20 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(212,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV3 )
| ~ ( aScalar0 @ SV13 ) )
| ~ ( aScalar0 @ SV21 ) ) )
= $true )
| ( ( ~ ( aScalar0 @ SV24 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(213,plain,
! [SV5: $i,SV14: $i] :
( ( ( aScalar0 @ SV14 )
= $false )
| ( ( aScalar0 @ SV5 )
= $false )
| ( ( ( sdtasdt0 @ ( smndt0 @ SV5 ) @ ( smndt0 @ SV14 ) )
= ( sdtasdt0 @ SV5 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(214,plain,
! [SV6: $i,SV15: $i] :
( ( ( aScalar0 @ SV15 )
= $false )
| ( ( aScalar0 @ SV6 )
= $false )
| ( ( aScalar0 @ ( sdtasdt0 @ SV6 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(215,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( ~ ( aScalar0 @ SV7 )
| ~ ( aScalar0 @ SV16 ) ) )
= $false )
| ( ( ~ ( aScalar0 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) ) )
| ( ( sdtasdt0 @ SV7 @ SV16 )
!= ( sdtasdt0 @ SV16 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(216,plain,
! [SV8: $i,SV17: $i] :
( ( ( aScalar0 @ SV17 )
= $false )
| ( ( aScalar0 @ SV8 )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ SV8 @ ( smndt0 @ SV17 ) )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) )
| ( ( sdtasdt0 @ ( smndt0 @ SV8 ) @ SV17 )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(217,plain,
! [SV10: $i,SV18: $i] :
( ( ( aScalar0 @ SV18 )
= $false )
| ( ( aScalar0 @ SV10 )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ sz0z00 @ SV10 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV18 ) )
| ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) ) )
| ( SV10 = SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(218,plain,
! [SV25: $i,SV23: $i,SV19: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( aScalar0 @ SV11 )
| ~ ( aScalar0 @ SV19 ) )
| ~ ( aScalar0 @ SV23 ) ) )
= $true )
| ( ( ~ ( aScalar0 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SV25 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SV25 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(219,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) )
| ( ( sdtpldt0 @ SV1 @ ( smndt0 @ SV1 ) )
!= sz0z00 ) )
| ( ( sdtpldt0 @ ( smndt0 @ SV1 ) @ SV1 )
!= sz0z00 ) ) )
= $true )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(220,plain,
! [SV1: $i] :
( ( ( ( smndt0 @ ( smndt0 @ SV1 ) )
= SV1 )
= $true )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(221,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( aScalar0 @ SV2 )
| ~ ( aScalar0 @ SV12 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV20 ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SV12 @ SV20 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV12 ) @ ( sdtasdt0 @ SV2 @ SV20 ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SV12 ) @ SV20 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV20 ) @ ( sdtasdt0 @ SV12 @ SV20 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(222,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aScalar0 @ SV3 )
| ~ ( aScalar0 @ SV13 ) )
| ~ ( aScalar0 @ SV21 ) ) )
= $false )
| ( ( ~ ( aScalar0 @ SV24 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(223,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( aScalar0 @ SV7 )
| ~ ( aScalar0 @ SV16 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) ) )
| ( ( sdtasdt0 @ SV7 @ SV16 )
!= ( sdtasdt0 @ SV16 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(224,plain,
! [SV17: $i,SV8: $i] :
( ( ( ( ( sdtasdt0 @ SV8 @ ( smndt0 @ SV17 ) )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) )
| ( ( sdtasdt0 @ ( smndt0 @ SV8 ) @ SV17 )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) ) )
= $false )
| ( ( aScalar0 @ SV8 )
= $false )
| ( ( aScalar0 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(225,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ sz0z00 @ SV10 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV18 ) )
| ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) ) ) )
= $true )
| ( ( SV10 = SV18 )
= $true )
| ( ( aScalar0 @ SV10 )
= $false )
| ( ( aScalar0 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(226,plain,
! [SV25: $i,SV23: $i,SV19: $i,SV11: $i] :
( ( ( ~ ( ~ ~ ( ~ ( aScalar0 @ SV11 )
| ~ ( aScalar0 @ SV19 ) )
| ~ ( aScalar0 @ SV23 ) ) )
= $false )
| ( ( ~ ( aScalar0 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SV25 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SV25 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(227,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) )
| ( ( sdtpldt0 @ SV1 @ ( smndt0 @ SV1 ) )
!= sz0z00 ) )
| ( ( sdtpldt0 @ ( smndt0 @ SV1 ) @ SV1 )
!= sz0z00 ) )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(228,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ( ~ ( aScalar0 @ SV2 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV12 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV20 ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SV12 @ SV20 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV12 ) @ ( sdtasdt0 @ SV2 @ SV20 ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SV12 ) @ SV20 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV20 ) @ ( sdtasdt0 @ SV12 @ SV20 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(229,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( aScalar0 @ SV3 )
| ~ ( aScalar0 @ SV13 ) )
| ~ ( aScalar0 @ SV21 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV24 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(230,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( aScalar0 @ SV7 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV16 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) ) )
| ( ( sdtasdt0 @ SV7 @ SV16 )
!= ( sdtasdt0 @ SV16 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(231,plain,
! [SV17: $i,SV8: $i] :
( ( ( ( sdtasdt0 @ SV8 @ ( smndt0 @ SV17 ) )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) )
= $false )
| ( ( aScalar0 @ SV8 )
= $false )
| ( ( aScalar0 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(232,plain,
! [SV17: $i,SV8: $i] :
( ( ( ( sdtasdt0 @ ( smndt0 @ SV8 ) @ SV17 )
!= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) )
= $false )
| ( ( aScalar0 @ SV8 )
= $false )
| ( ( aScalar0 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(233,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ sz0z00 @ SV10 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV18 ) )
| ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) ) ) )
= $false )
| ( ( SV10 = SV18 )
= $true )
| ( ( aScalar0 @ SV10 )
= $false )
| ( ( aScalar0 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(234,plain,
! [SV25: $i,SV23: $i,SV19: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( aScalar0 @ SV11 )
| ~ ( aScalar0 @ SV19 ) )
| ~ ( aScalar0 @ SV23 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SV25 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SV25 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(235,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) )
| ( ( sdtpldt0 @ SV1 @ ( smndt0 @ SV1 ) )
!= sz0z00 ) ) )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(236,plain,
! [SV1: $i] :
( ( ( ( sdtpldt0 @ ( smndt0 @ SV1 ) @ SV1 )
!= sz0z00 )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(237,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ( aScalar0 @ SV2 )
= $false )
| ( ( ~ ( aScalar0 @ SV12 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV20 ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SV12 @ SV20 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV12 ) @ ( sdtasdt0 @ SV2 @ SV20 ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SV12 ) @ SV20 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV20 ) @ ( sdtasdt0 @ SV12 @ SV20 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(238,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( aScalar0 @ SV3 )
| ~ ( aScalar0 @ SV13 ) ) )
= $true )
| ( ( ~ ( aScalar0 @ SV21 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV24 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(239,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( aScalar0 @ SV7 )
= $false )
| ( ( ~ ( aScalar0 @ SV16 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) ) )
| ( ( sdtasdt0 @ SV7 @ SV16 )
!= ( sdtasdt0 @ SV16 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(240,plain,
! [SV17: $i,SV8: $i] :
( ( ( ( sdtasdt0 @ SV8 @ ( smndt0 @ SV17 ) )
= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) )
= $true )
| ( ( aScalar0 @ SV8 )
= $false )
| ( ( aScalar0 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(241,plain,
! [SV17: $i,SV8: $i] :
( ( ( ( sdtasdt0 @ ( smndt0 @ SV8 ) @ SV17 )
= ( smndt0 @ ( sdtasdt0 @ SV8 @ SV17 ) ) )
= $true )
| ( ( aScalar0 @ SV8 )
= $false )
| ( ( aScalar0 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(242,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( sdtlseqdt0 @ sz0z00 @ SV10 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV18 ) )
| ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) ) )
= $true )
| ( ( SV10 = SV18 )
= $true )
| ( ( aScalar0 @ SV10 )
= $false )
| ( ( aScalar0 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(243,plain,
! [SV25: $i,SV23: $i,SV19: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( aScalar0 @ SV11 )
| ~ ( aScalar0 @ SV19 ) ) )
= $true )
| ( ( ~ ( aScalar0 @ SV23 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SV25 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SV25 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(244,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) )
| ( ( sdtpldt0 @ SV1 @ ( smndt0 @ SV1 ) )
!= sz0z00 ) ) )
= $true )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(245,plain,
! [SV1: $i] :
( ( ( ( sdtpldt0 @ ( smndt0 @ SV1 ) @ SV1 )
= sz0z00 )
= $true )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(246,plain,
! [SV20: $i,SV2: $i,SV12: $i] :
( ( ( aScalar0 @ SV12 )
= $false )
| ( ( aScalar0 @ SV2 )
= $false )
| ( ( ~ ( aScalar0 @ SV20 ) )
= $true )
| ( ( ~ ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SV12 @ SV20 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV12 ) @ ( sdtasdt0 @ SV2 @ SV20 ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SV12 ) @ SV20 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV20 ) @ ( sdtasdt0 @ SV12 @ SV20 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(247,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ( ~ ( aScalar0 @ SV3 )
| ~ ( aScalar0 @ SV13 ) ) )
= $false )
| ( ( ~ ( aScalar0 @ SV21 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV24 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(248,plain,
! [SV22: $i,SV7: $i,SV16: $i] :
( ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( ~ ( aScalar0 @ SV22 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) ) )
| ( ( sdtasdt0 @ SV7 @ SV16 )
!= ( sdtasdt0 @ SV16 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(249,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( sdtlseqdt0 @ sz0z00 @ SV10 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV18 ) ) )
= $true )
| ( ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) )
= $true )
| ( ( SV10 = SV18 )
= $true )
| ( ( aScalar0 @ SV10 )
= $false )
| ( ( aScalar0 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(250,plain,
! [SV25: $i,SV23: $i,SV19: $i,SV11: $i] :
( ( ( ~ ( ~ ( aScalar0 @ SV11 )
| ~ ( aScalar0 @ SV19 ) ) )
= $false )
| ( ( ~ ( aScalar0 @ SV23 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SV25 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SV25 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(251,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) )
| ( ( sdtpldt0 @ SV1 @ ( smndt0 @ SV1 ) )
!= sz0z00 ) )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(252,plain,
! [SV12: $i,SV2: $i,SV20: $i] :
( ( ( aScalar0 @ SV20 )
= $false )
| ( ( aScalar0 @ SV2 )
= $false )
| ( ( aScalar0 @ SV12 )
= $false )
| ( ( ~ ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SV12 @ SV20 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV12 ) @ ( sdtasdt0 @ SV2 @ SV20 ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SV12 ) @ SV20 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV20 ) @ ( sdtasdt0 @ SV12 @ SV20 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(253,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ( aScalar0 @ SV3 )
| ~ ( aScalar0 @ SV13 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV21 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV24 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(254,plain,
! [SV16: $i,SV7: $i,SV22: $i] :
( ( ( aScalar0 @ SV22 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) ) )
| ( ( sdtasdt0 @ SV7 @ SV16 )
!= ( sdtasdt0 @ SV16 @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(255,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ( ~ ( sdtlseqdt0 @ sz0z00 @ SV10 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV18 ) ) )
= $false )
| ( ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) )
= $true )
| ( ( SV10 = SV18 )
= $true )
| ( ( aScalar0 @ SV10 )
= $false )
| ( ( aScalar0 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(256,plain,
! [SV25: $i,SV23: $i,SV19: $i,SV11: $i] :
( ( ( ~ ( aScalar0 @ SV11 )
| ~ ( aScalar0 @ SV19 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV23 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SV25 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SV25 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(257,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) ) )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(258,plain,
! [SV1: $i] :
( ( ( ( sdtpldt0 @ SV1 @ ( smndt0 @ SV1 ) )
!= sz0z00 )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(259,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SV12 @ SV20 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV12 ) @ ( sdtasdt0 @ SV2 @ SV20 ) ) )
| ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SV12 ) @ SV20 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV20 ) @ ( sdtasdt0 @ SV12 @ SV20 ) ) ) )
= $false )
| ( ( aScalar0 @ SV12 )
= $false )
| ( ( aScalar0 @ SV2 )
= $false )
| ( ( aScalar0 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(260,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ( aScalar0 @ SV3 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV13 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV21 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV24 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(261,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) ) )
| ( ( sdtasdt0 @ SV7 @ SV16 )
!= ( sdtasdt0 @ SV16 @ SV7 ) ) )
= $false )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(262,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ( sdtlseqdt0 @ sz0z00 @ SV10 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV18 ) )
= $true )
| ( ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) )
= $true )
| ( ( SV10 = SV18 )
= $true )
| ( ( aScalar0 @ SV10 )
= $false )
| ( ( aScalar0 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(263,plain,
! [SV25: $i,SV23: $i,SV19: $i,SV11: $i] :
( ( ( ~ ( aScalar0 @ SV11 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV19 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV23 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SV25 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SV25 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(264,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) ) )
= $true )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(265,plain,
! [SV1: $i] :
( ( ( ( sdtpldt0 @ SV1 @ ( smndt0 @ SV1 ) )
= sz0z00 )
= $true )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(266,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SV12 @ SV20 ) )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV12 ) @ ( sdtasdt0 @ SV2 @ SV20 ) ) )
= $false )
| ( ( aScalar0 @ SV12 )
= $false )
| ( ( aScalar0 @ SV2 )
= $false )
| ( ( aScalar0 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(267,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SV12 ) @ SV20 )
!= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV20 ) @ ( sdtasdt0 @ SV12 @ SV20 ) ) )
= $false )
| ( ( aScalar0 @ SV12 )
= $false )
| ( ( aScalar0 @ SV2 )
= $false )
| ( ( aScalar0 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(268,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( aScalar0 @ SV3 )
= $false )
| ( ( ~ ( aScalar0 @ SV13 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV21 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV24 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(269,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) ) ) )
= $false )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(270,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ( sdtasdt0 @ SV7 @ SV16 )
!= ( sdtasdt0 @ SV16 @ SV7 ) )
= $false )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(271,plain,
! [SV18: $i,SV10: $i] :
( ( ( ~ ( sdtlseqdt0 @ sz0z00 @ SV10 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ sz0z00 @ SV18 ) )
= $true )
| ( ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) )
= $true )
| ( ( SV10 = SV18 )
= $true )
| ( ( aScalar0 @ SV10 )
= $false )
| ( ( aScalar0 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(272,plain,
! [SV25: $i,SV23: $i,SV19: $i,SV11: $i] :
( ( ( aScalar0 @ SV11 )
= $false )
| ( ( ~ ( aScalar0 @ SV19 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV23 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SV25 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SV25 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(273,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
| ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 ) )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(274,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ( ( sdtasdt0 @ SV2 @ ( sdtpldt0 @ SV12 @ SV20 ) )
= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV12 ) @ ( sdtasdt0 @ SV2 @ SV20 ) ) )
= $true )
| ( ( aScalar0 @ SV12 )
= $false )
| ( ( aScalar0 @ SV2 )
= $false )
| ( ( aScalar0 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(275,plain,
! [SV20: $i,SV12: $i,SV2: $i] :
( ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV2 @ SV12 ) @ SV20 )
= ( sdtpldt0 @ ( sdtasdt0 @ SV2 @ SV20 ) @ ( sdtasdt0 @ SV12 @ SV20 ) ) )
= $true )
| ( ( aScalar0 @ SV12 )
= $false )
| ( ( aScalar0 @ SV2 )
= $false )
| ( ( aScalar0 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(276,plain,
! [SV24: $i,SV21: $i,SV3: $i,SV13: $i] :
( ( ( aScalar0 @ SV13 )
= $false )
| ( ( aScalar0 @ SV3 )
= $false )
| ( ( ~ ( aScalar0 @ SV21 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV24 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(277,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) ) ) )
= $true )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(278,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ( sdtasdt0 @ SV7 @ SV16 )
= ( sdtasdt0 @ SV16 @ SV7 ) )
= $true )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(279,plain,
! [SV18: $i,SV10: $i] :
( ( ( sdtlseqdt0 @ sz0z00 @ SV10 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ sz0z00 @ SV18 ) )
= $true )
| ( ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) )
= $true )
| ( ( SV10 = SV18 )
= $true )
| ( ( aScalar0 @ SV10 )
= $false )
| ( ( aScalar0 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(280,plain,
! [SV25: $i,SV23: $i,SV11: $i,SV19: $i] :
( ( ( aScalar0 @ SV19 )
= $false )
| ( ( aScalar0 @ SV11 )
= $false )
| ( ( ~ ( aScalar0 @ SV23 ) )
= $true )
| ( ( ~ ( aScalar0 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SV25 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SV25 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(281,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) ) )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(282,plain,
! [SV1: $i] :
( ( ( ( sdtasdt0 @ sz0z00 @ SV1 )
!= sz0z00 )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(283,plain,
! [SV24: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( aScalar0 @ SV21 )
= $false )
| ( ( aScalar0 @ SV3 )
= $false )
| ( ( aScalar0 @ SV13 )
= $false )
| ( ( ~ ( aScalar0 @ SV24 ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(284,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) ) )
= $false )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(285,plain,
! [SV10: $i,SV18: $i] :
( ( ( sdtlseqdt0 @ sz0z00 @ SV18 )
= $false )
| ( ( sdtlseqdt0 @ sz0z00 @ SV10 )
= $false )
| ( ( ( sdtasdt0 @ SV10 @ SV10 )
!= ( sdtasdt0 @ SV18 @ SV18 ) )
= $true )
| ( ( SV10 = SV18 )
= $true )
| ( ( aScalar0 @ SV10 )
= $false )
| ( ( aScalar0 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(286,plain,
! [SV25: $i,SV19: $i,SV11: $i,SV23: $i] :
( ( ( aScalar0 @ SV23 )
= $false )
| ( ( aScalar0 @ SV11 )
= $false )
| ( ( aScalar0 @ SV19 )
= $false )
| ( ( ~ ( aScalar0 @ SV25 ) )
= $true )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SV25 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SV25 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(287,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) ) )
= $true )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(288,plain,
! [SV1: $i] :
( ( ( ( sdtasdt0 @ sz0z00 @ SV1 )
= sz0z00 )
= $true )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(289,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV24: $i] :
( ( ( aScalar0 @ SV24 )
= $false )
| ( ( aScalar0 @ SV13 )
= $false )
| ( ( aScalar0 @ SV3 )
= $false )
| ( ( aScalar0 @ SV21 )
= $false )
| ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(290,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ~ ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) ) )
= $false )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(291,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) )
= $false )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(292,plain,
! [SV18: $i,SV10: $i] :
( ( ( ( sdtasdt0 @ SV10 @ SV10 )
= ( sdtasdt0 @ SV18 @ SV18 ) )
= $false )
| ( ( sdtlseqdt0 @ sz0z00 @ SV10 )
= $false )
| ( ( sdtlseqdt0 @ sz0z00 @ SV18 )
= $false )
| ( ( SV10 = SV18 )
= $true )
| ( ( aScalar0 @ SV10 )
= $false )
| ( ( aScalar0 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(293,plain,
! [SV23: $i,SV11: $i,SV19: $i,SV25: $i] :
( ( ( aScalar0 @ SV25 )
= $false )
| ( ( aScalar0 @ SV19 )
= $false )
| ( ( aScalar0 @ SV11 )
= $false )
| ( ( aScalar0 @ SV23 )
= $false )
| ( ( ( sdtasdt0 @ ( sdtpldt0 @ SV11 @ SV19 ) @ ( sdtpldt0 @ SV23 @ SV25 ) )
= ( sdtpldt0 @ ( sdtpldt0 @ ( sdtasdt0 @ SV11 @ SV23 ) @ ( sdtasdt0 @ SV11 @ SV25 ) ) @ ( sdtpldt0 @ ( sdtasdt0 @ SV19 @ SV23 ) @ ( sdtasdt0 @ SV19 @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(294,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
| ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 ) )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(295,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) )
= $true )
| ( ( aScalar0 @ SV21 )
= $false )
| ( ( aScalar0 @ SV3 )
= $false )
| ( ( aScalar0 @ SV13 )
= $false )
| ( ( aScalar0 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(296,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ~ ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) ) )
= $true )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(297,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ( sdtasdt0 @ ( sdtasdt0 @ SV7 @ SV16 ) @ SV22 )
= ( sdtasdt0 @ SV7 @ ( sdtasdt0 @ SV16 @ SV22 ) ) )
= $true )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(298,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) ) )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(299,plain,
! [SV1: $i] :
( ( ( ( sdtasdt0 @ SV1 @ sz0z00 )
!= sz0z00 )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(300,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) ) )
= $false )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) )
= $true )
| ( ( aScalar0 @ SV21 )
= $false )
| ( ( aScalar0 @ SV3 )
= $false )
| ( ( aScalar0 @ SV13 )
= $false )
| ( ( aScalar0 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(301,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
| ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) ) )
= $false )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(302,plain,
! [SV1: $i] :
( ( ( ~ ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) ) )
= $true )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(303,plain,
! [SV1: $i] :
( ( ( ( sdtasdt0 @ SV1 @ sz0z00 )
= sz0z00 )
= $true )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(304,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
| ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) )
= $true )
| ( ( aScalar0 @ SV21 )
= $false )
| ( ( aScalar0 @ SV3 )
= $false )
| ( ( aScalar0 @ SV13 )
= $false )
| ( ( aScalar0 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(305,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
!= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
= $false )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(306,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ( sdtpldt0 @ SV7 @ SV16 )
!= ( sdtpldt0 @ SV16 @ SV7 ) )
= $false )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV22 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(307,plain,
! [SV1: $i] :
( ( ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
| ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 ) )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(308,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) )
= $true )
| ( ( aScalar0 @ SV21 )
= $false )
| ( ( aScalar0 @ SV3 )
= $false )
| ( ( aScalar0 @ SV13 )
= $false )
| ( ( aScalar0 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(309,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ( sdtpldt0 @ ( sdtpldt0 @ SV7 @ SV16 ) @ SV22 )
= ( sdtpldt0 @ SV7 @ ( sdtpldt0 @ SV16 @ SV22 ) ) )
= $true )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(310,plain,
! [SV22: $i,SV16: $i,SV7: $i] :
( ( ( ( sdtpldt0 @ SV7 @ SV16 )
= ( sdtpldt0 @ SV16 @ SV7 ) )
= $true )
| ( ( aScalar0 @ SV16 )
= $false )
| ( ( aScalar0 @ SV7 )
= $false )
| ( ( aScalar0 @ SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(311,plain,
! [SV1: $i] :
( ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
!= SV1 )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(312,plain,
! [SV1: $i] :
( ( ( ( sdtpldt0 @ sz0z00 @ SV1 )
!= SV1 )
= $false )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(313,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) ) )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) )
= $true )
| ( ( aScalar0 @ SV21 )
= $false )
| ( ( aScalar0 @ SV3 )
= $false )
| ( ( aScalar0 @ SV13 )
= $false )
| ( ( aScalar0 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(314,plain,
! [SV1: $i] :
( ( ( ( sdtpldt0 @ SV1 @ sz0z00 )
= SV1 )
= $true )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(315,plain,
! [SV1: $i] :
( ( ( ( sdtpldt0 @ sz0z00 @ SV1 )
= SV1 )
= $true )
| ( ( aScalar0 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(316,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV3 @ SV13 )
| ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) )
= $true )
| ( ( aScalar0 @ SV21 )
= $false )
| ( ( aScalar0 @ SV3 )
= $false )
| ( ( aScalar0 @ SV13 )
= $false )
| ( ( aScalar0 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(317,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( ~ ( sdtlseqdt0 @ SV3 @ SV13 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) )
= $true )
| ( ( aScalar0 @ SV21 )
= $false )
| ( ( aScalar0 @ SV3 )
= $false )
| ( ( aScalar0 @ SV13 )
= $false )
| ( ( aScalar0 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(318,plain,
! [SV24: $i,SV21: $i,SV13: $i,SV3: $i] :
( ( ( sdtlseqdt0 @ SV3 @ SV13 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ sz0z00 @ SV21 ) )
= $true )
| ( ( ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) )
= $true )
| ( ( aScalar0 @ SV21 )
= $false )
| ( ( aScalar0 @ SV3 )
= $false )
| ( ( aScalar0 @ SV13 )
= $false )
| ( ( aScalar0 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(319,plain,
! [SV24: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( sdtlseqdt0 @ sz0z00 @ SV21 )
= $false )
| ( ( sdtlseqdt0 @ SV3 @ SV13 )
= $false )
| ( ( ~ ( sdtlseqdt0 @ SV21 @ SV24 ) )
= $true )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) )
= $true )
| ( ( aScalar0 @ SV21 )
= $false )
| ( ( aScalar0 @ SV3 )
= $false )
| ( ( aScalar0 @ SV13 )
= $false )
| ( ( aScalar0 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(320,plain,
! [SV13: $i,SV3: $i,SV24: $i,SV21: $i] :
( ( ( sdtlseqdt0 @ SV21 @ SV24 )
= $false )
| ( ( sdtlseqdt0 @ SV3 @ SV13 )
= $false )
| ( ( sdtlseqdt0 @ sz0z00 @ SV21 )
= $false )
| ( ( sdtlseqdt0 @ ( sdtasdt0 @ SV3 @ SV21 ) @ ( sdtasdt0 @ SV13 @ SV24 ) )
= $true )
| ( ( aScalar0 @ SV21 )
= $false )
| ( ( aScalar0 @ SV3 )
= $false )
| ( ( aScalar0 @ SV13 )
= $false )
| ( ( aScalar0 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(321,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[83,320,315,314,310,309,303,297,293,292,288,278,275,274,265,245,241,240,220,214,213,191,170,169,168,167,165,164,163,162,161,160,158,153,112]) ).
thf(322,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[321]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG059+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.19 % Computer : n020.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Oct 6 14:13:14 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.76/0.65
% 1.76/0.65 No.of.Axioms: 17
% 1.76/0.65
% 1.76/0.65 Length.of.Defs: 0
% 1.76/0.65
% 1.76/0.65 Contains.Choice.Funs: false
% 1.76/0.65 .........
% 1.76/0.65
% 1.76/0.65 ********************************
% 1.76/0.65 * All subproblems solved! *
% 1.76/0.65 ********************************
% 1.76/0.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:17,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:321,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.76/0.65
% 1.76/0.65 %**** Beginning of derivation protocol ****
% 1.76/0.65 % SZS output start CNFRefutation
% See solution above
% 1.76/0.65
% 1.76/0.65 %**** End of derivation protocol ****
% 1.76/0.65 %**** no. of clauses in derivation: 283 ****
% 1.76/0.65 %**** clause counter: 321 ****
% 1.76/0.65
% 1.76/0.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:17,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:321,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------