%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG054+2 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.T1XwnFALml true
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:50:21 PM UTC 2025
% Result : Theorem 159.33s 23.45s
% Output : Refutation 159.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 32
% Syntax : Number of formulae : 451 ( 205 unt; 0 typ; 0 def)
% Number of atoms : 1000 ( 216 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 3308 ( 472 ~; 470 |; 55 &;2287 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 29 usr; 18 con; 0-2 aty)
% Number of variables : 248 ( 0 ^; 248 !; 0 ?; 248 :)
% Comments :
%------------------------------------------------------------------------------
thf(xP_type,type,
xP: $i ).
thf(xH_type,type,
xH: $i ).
thf(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
thf(sdtlbdtrb0_type,type,
sdtlbdtrb0: $i > $i > $i ).
thf(xG_type,type,
xG: $i ).
thf(sziznziztdt0_type,type,
sziznziztdt0: $i > $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(xR_type,type,
xR: $i ).
thf(aVector0_type,type,
aVector0: $i > $o ).
thf(xD_type,type,
xD: $i ).
thf(xA_type,type,
xA: $i ).
thf(xp_type,type,
xp: $i ).
thf(xB_type,type,
xB: $i ).
thf(xS_type,type,
xS: $i ).
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(xs_type,type,
xs: $i ).
thf(sz0z00_type,type,
sz0z00: $i ).
thf(xF_type,type,
xF: $i ).
thf(xC_type,type,
xC: $i ).
thf(xE_type,type,
xE: $i ).
thf(aDimensionOf0_type,type,
aDimensionOf0: $i > $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(aScalar0_type,type,
aScalar0: $i > $o ).
thf(xN_type,type,
xN: $i ).
thf(xt_type,type,
xt: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(xq_type,type,
xq: $i ).
thf(sdtasasdt0_type,type,
sdtasasdt0: $i > $i > $i ).
thf(m__,conjecture,
sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN ).
thf(zf_stmt_0,negated_conjecture,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl94,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__1949,axiom,
( ( xN
= ( sdtasdt0 @ xR @ xS ) )
& ( aScalar0 @ xN ) ) ).
thf(zip_derived_cl91,plain,
( xN
= ( sdtasdt0 @ xR @ xS ) ),
inference(cnf,[status(esa)],[m__1949]) ).
thf(mPosMon,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ sz0z00 @ W0 )
& ( sdtlseqdt0 @ sz0z00 @ W1 ) )
=> ( ( sdtlseqdt0 @ sz0z00 @ ( sdtpldt0 @ W0 @ W1 ) )
& ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X1 ) ),
inference(cnf,[status(esa)],[mPosMon]) ).
thf(zip_derived_cl1413,plain,
( ~ ( sdtlseqdt0 @ sz0z00 @ xR )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xS )
| ( sdtlseqdt0 @ sz0z00 @ xN )
| ~ ( sdtlseqdt0 @ sz0z00 @ xS ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl91,zip_derived_cl39]) ).
thf(m__1892,axiom,
( ( xR
= ( sdtasdt0 @ xC @ xG ) )
& ( aScalar0 @ xR ) ) ).
thf(zip_derived_cl86,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(m__1930,axiom,
( ( xS
= ( sdtasdt0 @ xF @ xD ) )
& ( aScalar0 @ xS ) ) ).
thf(zip_derived_cl90,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl1437,plain,
( ~ ( sdtlseqdt0 @ sz0z00 @ xR )
| ( sdtlseqdt0 @ sz0z00 @ xN )
| ~ ( sdtlseqdt0 @ sz0z00 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1413,zip_derived_cl86,zip_derived_cl90]) ).
thf(zip_derived_cl85,plain,
( xR
= ( sdtasdt0 @ xC @ xG ) ),
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl39_001,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X1 ) ),
inference(cnf,[status(esa)],[mPosMon]) ).
thf(zip_derived_cl1407,plain,
( ~ ( sdtlseqdt0 @ sz0z00 @ xC )
| ~ ( aScalar0 @ xC )
| ~ ( aScalar0 @ xG )
| ( sdtlseqdt0 @ sz0z00 @ xR )
| ~ ( sdtlseqdt0 @ sz0z00 @ xG ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl39]) ).
thf(m__1783,axiom,
( ( xC
= ( sdtasasdt0 @ xp @ xp ) )
& ( aScalar0 @ xC ) ) ).
thf(zip_derived_cl73,plain,
( xC
= ( sdtasasdt0 @ xp @ xp ) ),
inference(cnf,[status(esa)],[m__1783]) ).
thf(mScSqPos,axiom,
! [W0: $i] :
( ( aVector0 @ W0 )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ W0 @ W0 ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ X0 @ X0 ) )
| ~ ( aVector0 @ X0 ) ),
inference(cnf,[status(esa)],[mScSqPos]) ).
thf(zip_derived_cl576,plain,
( ( sdtlseqdt0 @ sz0z00 @ xC )
| ~ ( aVector0 @ xp ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl73,zip_derived_cl55]) ).
thf(m__1709,axiom,
( ( xp
= ( sziznziztdt0 @ xs ) )
& ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( sdtlbdtrb0 @ xp @ W0 )
= ( sdtlbdtrb0 @ xs @ W0 ) ) )
& ( ( szszuzczcdt0 @ ( aDimensionOf0 @ xp ) )
= ( aDimensionOf0 @ xs ) )
& ( aVector0 @ xp ) ) ).
thf(zip_derived_cl61,plain,
aVector0 @ xp,
inference(cnf,[status(esa)],[m__1709]) ).
thf(zip_derived_cl578,plain,
sdtlseqdt0 @ sz0z00 @ xC,
inference(demod,[status(thm)],[zip_derived_cl576,zip_derived_cl61]) ).
thf(zip_derived_cl74,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(m__1854,axiom,
( ( xG
= ( sdtasdt0 @ xB @ xB ) )
& ( aScalar0 @ xG ) ) ).
thf(zip_derived_cl82,plain,
aScalar0 @ xG,
inference(cnf,[status(esa)],[m__1854]) ).
thf(zip_derived_cl81,plain,
( xG
= ( sdtasdt0 @ xB @ xB ) ),
inference(cnf,[status(esa)],[m__1854]) ).
thf(mSqPos,axiom,
! [W0: $i] :
( ( aScalar0 @ W0 )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ W0 @ W0 ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mSqPos]) ).
thf(zip_derived_cl508,plain,
( ( sdtlseqdt0 @ sz0z00 @ xG )
| ~ ( aScalar0 @ xB ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl41]) ).
thf(m__1766,axiom,
( ( xB
= ( sdtlbdtrb0 @ xt @ ( aDimensionOf0 @ xt ) ) )
& ( aScalar0 @ xB ) ) ).
thf(zip_derived_cl72,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl512,plain,
sdtlseqdt0 @ sz0z00 @ xG,
inference(demod,[status(thm)],[zip_derived_cl508,zip_derived_cl72]) ).
thf(zip_derived_cl1431,plain,
sdtlseqdt0 @ sz0z00 @ xR,
inference(demod,[status(thm)],[zip_derived_cl1407,zip_derived_cl578,zip_derived_cl74,zip_derived_cl82,zip_derived_cl512]) ).
thf(mArith,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 ) ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtasdt0 @ X1 @ X0 )
= ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl580,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ X0 )
= ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl89,plain,
( xS
= ( sdtasdt0 @ xF @ xD ) ),
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl589,plain,
( ~ ( aScalar0 @ xF )
| ~ ( aScalar0 @ xD )
| ( xS
= ( sdtasdt0 @ xD @ xF ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl580,zip_derived_cl89]) ).
thf(m__1837,axiom,
( ( xF
= ( sdtasdt0 @ xA @ xA ) )
& ( aScalar0 @ xF ) ) ).
thf(zip_derived_cl80,plain,
aScalar0 @ xF,
inference(cnf,[status(esa)],[m__1837]) ).
thf(m__1800,axiom,
( ( xD
= ( sdtasasdt0 @ xq @ xq ) )
& ( aScalar0 @ xD ) ) ).
thf(zip_derived_cl76,plain,
aScalar0 @ xD,
inference(cnf,[status(esa)],[m__1800]) ).
thf(zip_derived_cl611,plain,
( xS
= ( sdtasdt0 @ xD @ xF ) ),
inference(demod,[status(thm)],[zip_derived_cl589,zip_derived_cl80,zip_derived_cl76]) ).
thf(zip_derived_cl39_002,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X1 ) ),
inference(cnf,[status(esa)],[mPosMon]) ).
thf(zip_derived_cl1408,plain,
( ~ ( sdtlseqdt0 @ sz0z00 @ xD )
| ~ ( aScalar0 @ xD )
| ~ ( aScalar0 @ xF )
| ( sdtlseqdt0 @ sz0z00 @ xS )
| ~ ( sdtlseqdt0 @ sz0z00 @ xF ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl611,zip_derived_cl39]) ).
thf(zip_derived_cl75,plain,
( xD
= ( sdtasasdt0 @ xq @ xq ) ),
inference(cnf,[status(esa)],[m__1800]) ).
thf(zip_derived_cl55_003,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ X0 @ X0 ) )
| ~ ( aVector0 @ X0 ) ),
inference(cnf,[status(esa)],[mScSqPos]) ).
thf(zip_derived_cl577,plain,
( ( sdtlseqdt0 @ sz0z00 @ xD )
| ~ ( aVector0 @ xq ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl75,zip_derived_cl55]) ).
thf(m__1726,axiom,
( ( xq
= ( sziznziztdt0 @ xt ) )
& ! [W0: $i] :
( ( aNaturalNumber0 @ W0 )
=> ( ( sdtlbdtrb0 @ xq @ W0 )
= ( sdtlbdtrb0 @ xt @ W0 ) ) )
& ( ( szszuzczcdt0 @ ( aDimensionOf0 @ xq ) )
= ( aDimensionOf0 @ xt ) )
& ( aVector0 @ xq ) ) ).
thf(zip_derived_cl65,plain,
aVector0 @ xq,
inference(cnf,[status(esa)],[m__1726]) ).
thf(zip_derived_cl579,plain,
sdtlseqdt0 @ sz0z00 @ xD,
inference(demod,[status(thm)],[zip_derived_cl577,zip_derived_cl65]) ).
thf(zip_derived_cl76_004,plain,
aScalar0 @ xD,
inference(cnf,[status(esa)],[m__1800]) ).
thf(zip_derived_cl80_005,plain,
aScalar0 @ xF,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl79,plain,
( xF
= ( sdtasdt0 @ xA @ xA ) ),
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl41_006,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mSqPos]) ).
thf(zip_derived_cl507,plain,
( ( sdtlseqdt0 @ sz0z00 @ xF )
| ~ ( aScalar0 @ xA ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl79,zip_derived_cl41]) ).
thf(m__1746,axiom,
( ( xA
= ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) )
& ( aScalar0 @ xA ) ) ).
thf(zip_derived_cl70,plain,
aScalar0 @ xA,
inference(cnf,[status(esa)],[m__1746]) ).
thf(zip_derived_cl511,plain,
sdtlseqdt0 @ sz0z00 @ xF,
inference(demod,[status(thm)],[zip_derived_cl507,zip_derived_cl70]) ).
thf(zip_derived_cl1432,plain,
sdtlseqdt0 @ sz0z00 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1408,zip_derived_cl579,zip_derived_cl76,zip_derived_cl80,zip_derived_cl511]) ).
thf(zip_derived_cl1644,plain,
sdtlseqdt0 @ sz0z00 @ xN,
inference(demod,[status(thm)],[zip_derived_cl1437,zip_derived_cl1431,zip_derived_cl1432]) ).
thf(mLEASm,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W0 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLEASm]) ).
thf(zip_derived_cl1645,plain,
( ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ sz0z00 )
| ( xN = sz0z00 )
| ~ ( sdtlseqdt0 @ xN @ sz0z00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1644,zip_derived_cl34]) ).
thf(zip_derived_cl92,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(mSZeroSc,axiom,
aScalar0 @ sz0z00 ).
thf(zip_derived_cl10,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl1648,plain,
( ( xN = sz0z00 )
| ~ ( sdtlseqdt0 @ xN @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1645,zip_derived_cl92,zip_derived_cl10]) ).
thf(mLERef,axiom,
! [W0: $i] :
( ( aScalar0 @ W0 )
=> ( sdtlseqdt0 @ W0 @ W0 ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mLERef]) ).
thf(mMDNeg,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( sdtasdt0 @ ( smndt0 @ W0 ) @ ( smndt0 @ W1 ) )
= ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ ( smndt0 @ X1 ) )
= ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMDNeg]) ).
thf(zip_derived_cl91_007,plain,
( xN
= ( sdtasdt0 @ xR @ xS ) ),
inference(cnf,[status(esa)],[m__1949]) ).
thf(mMNeg,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 ) ) ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
= ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mMNeg]) ).
thf(zip_derived_cl911,plain,
( ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xS )
| ( ( sdtasdt0 @ ( smndt0 @ xR ) @ xS )
= ( smndt0 @ xN ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl91,zip_derived_cl29]) ).
thf(zip_derived_cl86_008,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl90_009,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl926,plain,
( ( sdtasdt0 @ ( smndt0 @ xR ) @ xS )
= ( smndt0 @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl911,zip_derived_cl86,zip_derived_cl90]) ).
thf(zip_derived_cl580_010,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ X0 )
= ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl955,plain,
( ( ( sdtasdt0 @ xS @ ( smndt0 @ xR ) )
= ( smndt0 @ xN ) )
| ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ ( smndt0 @ xR ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl926,zip_derived_cl580]) ).
thf(zip_derived_cl90_011,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl968,plain,
( ( ( sdtasdt0 @ xS @ ( smndt0 @ xR ) )
= ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( smndt0 @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl955,zip_derived_cl90]) ).
thf(mNegSc,axiom,
! [W0: $i] :
( ( aScalar0 @ W0 )
=> ( aScalar0 @ ( smndt0 @ W0 ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( aScalar0 @ ( smndt0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mNegSc]) ).
thf(zip_derived_cl85_012,plain,
( xR
= ( sdtasdt0 @ xC @ xG ) ),
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl29_013,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
= ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mMNeg]) ).
thf(zip_derived_cl907,plain,
( ~ ( aScalar0 @ xC )
| ~ ( aScalar0 @ xG )
| ( ( sdtasdt0 @ ( smndt0 @ xC ) @ xG )
= ( smndt0 @ xR ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl29]) ).
thf(zip_derived_cl74_014,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl82_015,plain,
aScalar0 @ xG,
inference(cnf,[status(esa)],[m__1854]) ).
thf(zip_derived_cl922,plain,
( ( sdtasdt0 @ ( smndt0 @ xC ) @ xG )
= ( smndt0 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl907,zip_derived_cl74,zip_derived_cl82]) ).
thf(mMulSc,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( aScalar0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl1692,plain,
( ~ ( aScalar0 @ ( smndt0 @ xC ) )
| ~ ( aScalar0 @ xG )
| ( aScalar0 @ ( smndt0 @ xR ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl922,zip_derived_cl12]) ).
thf(zip_derived_cl82_016,plain,
aScalar0 @ xG,
inference(cnf,[status(esa)],[m__1854]) ).
thf(zip_derived_cl1709,plain,
( ~ ( aScalar0 @ ( smndt0 @ xC ) )
| ( aScalar0 @ ( smndt0 @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1692,zip_derived_cl82]) ).
thf(zip_derived_cl2327,plain,
( ~ ( aScalar0 @ xC )
| ( aScalar0 @ ( smndt0 @ xR ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1709]) ).
thf(zip_derived_cl74_017,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl2328,plain,
aScalar0 @ ( smndt0 @ xR ),
inference(demod,[status(thm)],[zip_derived_cl2327,zip_derived_cl74]) ).
thf(zip_derived_cl2770,plain,
( ( sdtasdt0 @ xS @ ( smndt0 @ xR ) )
= ( smndt0 @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl968,zip_derived_cl2328]) ).
thf(zip_derived_cl39_018,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X1 ) ),
inference(cnf,[status(esa)],[mPosMon]) ).
thf(zip_derived_cl2774,plain,
( ~ ( sdtlseqdt0 @ sz0z00 @ xS )
| ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ ( smndt0 @ xR ) )
| ( sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xN ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xR ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2770,zip_derived_cl39]) ).
thf(zip_derived_cl1432_019,plain,
sdtlseqdt0 @ sz0z00 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1408,zip_derived_cl579,zip_derived_cl76,zip_derived_cl80,zip_derived_cl511]) ).
thf(zip_derived_cl90_020,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl2328_021,plain,
aScalar0 @ ( smndt0 @ xR ),
inference(demod,[status(thm)],[zip_derived_cl2327,zip_derived_cl74]) ).
thf(zip_derived_cl2789,plain,
( ( sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xN ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2774,zip_derived_cl1432,zip_derived_cl90,zip_derived_cl2328]) ).
thf(zip_derived_cl85_022,plain,
( xR
= ( sdtasdt0 @ xC @ xG ) ),
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ X0 @ ( smndt0 @ X1 ) )
= ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mMNeg]) ).
thf(zip_derived_cl994,plain,
( ~ ( aScalar0 @ xC )
| ~ ( aScalar0 @ xG )
| ( ( sdtasdt0 @ xC @ ( smndt0 @ xG ) )
= ( smndt0 @ xR ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl30]) ).
thf(zip_derived_cl74_023,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl82_024,plain,
aScalar0 @ xG,
inference(cnf,[status(esa)],[m__1854]) ).
thf(zip_derived_cl1011,plain,
( ( sdtasdt0 @ xC @ ( smndt0 @ xG ) )
= ( smndt0 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl994,zip_derived_cl74,zip_derived_cl82]) ).
thf(zip_derived_cl580_025,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ X0 )
= ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl33_026,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mLERef]) ).
thf(zip_derived_cl578_027,plain,
sdtlseqdt0 @ sz0z00 @ xC,
inference(demod,[status(thm)],[zip_derived_cl576,zip_derived_cl61]) ).
thf(mScZero,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 ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(mLEMonM,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 ) ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( sdtlseqdt0 @ sz0z00 @ X2 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X3 )
| ( sdtlseqdt0 @ ( sdtasdt0 @ X0 @ X2 ) @ ( sdtasdt0 @ X1 @ X3 ) )
| ~ ( sdtlseqdt0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[mLEMonM]) ).
thf(zip_derived_cl1283,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X2 )
| ~ ( sdtlseqdt0 @ X2 @ X1 )
| ~ ( sdtlseqdt0 @ sz0z00 @ sz0z00 )
| ~ ( aScalar0 @ sz0z00 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl37]) ).
thf(zip_derived_cl16_028,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl41_029,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mSqPos]) ).
thf(zip_derived_cl505,plain,
( ~ ( aScalar0 @ sz0z00 )
| ( sdtlseqdt0 @ sz0z00 @ sz0z00 )
| ~ ( aScalar0 @ sz0z00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl41]) ).
thf(zip_derived_cl10_030,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl10_031,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl509,plain,
sdtlseqdt0 @ sz0z00 @ sz0z00,
inference(demod,[status(thm)],[zip_derived_cl505,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl10_032,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl1326,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X2 )
| ~ ( sdtlseqdt0 @ X2 @ X1 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1283,zip_derived_cl509,zip_derived_cl10]) ).
thf(zip_derived_cl1327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( sdtlseqdt0 @ X2 @ X1 )
| ~ ( aScalar0 @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1326]) ).
thf(zip_derived_cl3669,plain,
! [X0: $i,X1: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ xC ) )
| ~ ( aScalar0 @ xC )
| ~ ( aScalar0 @ X0 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( aScalar0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl1327]) ).
thf(zip_derived_cl74_033,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl3685,plain,
! [X0: $i,X1: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ xC ) )
| ~ ( aScalar0 @ X0 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( aScalar0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3669,zip_derived_cl74]) ).
thf(zip_derived_cl5422,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ xC ) )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl3685]) ).
thf(zip_derived_cl5468,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ xC ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5422]) ).
thf(zip_derived_cl6356,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ xC )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xC @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl580,zip_derived_cl5468]) ).
thf(zip_derived_cl74_034,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl6360,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xC @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6356,zip_derived_cl74]) ).
thf(zip_derived_cl6361,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xC @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6360]) ).
thf(zip_derived_cl6411,plain,
( ( sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xG ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1011,zip_derived_cl6361]) ).
thf(zip_derived_cl13_035,plain,
! [X0: $i] :
( ( aScalar0 @ ( smndt0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mNegSc]) ).
thf(zip_derived_cl81_036,plain,
( xG
= ( sdtasdt0 @ xB @ xB ) ),
inference(cnf,[status(esa)],[m__1854]) ).
thf(zip_derived_cl29_037,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
= ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mMNeg]) ).
thf(zip_derived_cl906,plain,
( ~ ( aScalar0 @ xB )
| ~ ( aScalar0 @ xB )
| ( ( sdtasdt0 @ ( smndt0 @ xB ) @ xB )
= ( smndt0 @ xG ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl29]) ).
thf(zip_derived_cl72_038,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl72_039,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl921,plain,
( ( sdtasdt0 @ ( smndt0 @ xB ) @ xB )
= ( smndt0 @ xG ) ),
inference(demod,[status(thm)],[zip_derived_cl906,zip_derived_cl72,zip_derived_cl72]) ).
thf(zip_derived_cl12_040,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl1230,plain,
( ~ ( aScalar0 @ ( smndt0 @ xB ) )
| ~ ( aScalar0 @ xB )
| ( aScalar0 @ ( smndt0 @ xG ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl921,zip_derived_cl12]) ).
thf(zip_derived_cl72_041,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl1244,plain,
( ~ ( aScalar0 @ ( smndt0 @ xB ) )
| ( aScalar0 @ ( smndt0 @ xG ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1230,zip_derived_cl72]) ).
thf(zip_derived_cl2318,plain,
( ~ ( aScalar0 @ xB )
| ( aScalar0 @ ( smndt0 @ xG ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1244]) ).
thf(zip_derived_cl72_042,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl2319,plain,
aScalar0 @ ( smndt0 @ xG ),
inference(demod,[status(thm)],[zip_derived_cl2318,zip_derived_cl72]) ).
thf(zip_derived_cl6418,plain,
sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xR ),
inference(demod,[status(thm)],[zip_derived_cl6411,zip_derived_cl2319]) ).
thf(zip_derived_cl6430,plain,
sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xN ),
inference(demod,[status(thm)],[zip_derived_cl2789,zip_derived_cl6418]) ).
thf(zip_derived_cl1644_043,plain,
sdtlseqdt0 @ sz0z00 @ xN,
inference(demod,[status(thm)],[zip_derived_cl1437,zip_derived_cl1431,zip_derived_cl1432]) ).
thf(mSqrt,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( ( sdtlseqdt0 @ sz0z00 @ W0 )
& ( sdtlseqdt0 @ sz0z00 @ W1 )
& ( ( sdtasdt0 @ W0 @ W0 )
= ( sdtasdt0 @ W1 @ W1 ) ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( X0 = X1 )
| ( ( sdtasdt0 @ X0 @ X0 )
!= ( sdtasdt0 @ X1 @ X1 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X1 ) ),
inference(cnf,[status(esa)],[mSqrt]) ).
thf(zip_derived_cl1647,plain,
! [X0: $i] :
( ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ X0 )
| ( xN = X0 )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ X0 @ X0 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1644,zip_derived_cl42]) ).
thf(zip_derived_cl92_044,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl1650,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( xN = X0 )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ X0 @ X0 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1647,zip_derived_cl92]) ).
thf(zip_derived_cl6503,plain,
( ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ( xN
= ( smndt0 @ xN ) )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ ( smndt0 @ xN ) @ ( smndt0 @ xN ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6430,zip_derived_cl1650]) ).
thf(zip_derived_cl13_045,plain,
! [X0: $i] :
( ( aScalar0 @ ( smndt0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mNegSc]) ).
thf(zip_derived_cl926_046,plain,
( ( sdtasdt0 @ ( smndt0 @ xR ) @ xS )
= ( smndt0 @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl911,zip_derived_cl86,zip_derived_cl90]) ).
thf(zip_derived_cl12_047,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl953,plain,
( ~ ( aScalar0 @ ( smndt0 @ xR ) )
| ~ ( aScalar0 @ xS )
| ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl926,zip_derived_cl12]) ).
thf(zip_derived_cl90_048,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl966,plain,
( ~ ( aScalar0 @ ( smndt0 @ xR ) )
| ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference(demod,[status(thm)],[zip_derived_cl953,zip_derived_cl90]) ).
thf(zip_derived_cl2263,plain,
( ~ ( aScalar0 @ xR )
| ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl966]) ).
thf(zip_derived_cl86_049,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl2264,plain,
aScalar0 @ ( smndt0 @ xN ),
inference(demod,[status(thm)],[zip_derived_cl2263,zip_derived_cl86]) ).
thf(zip_derived_cl6537,plain,
( ( xN
= ( smndt0 @ xN ) )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ ( smndt0 @ xN ) @ ( smndt0 @ xN ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6503,zip_derived_cl2264]) ).
thf(zip_derived_cl6615,plain,
( ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ xN )
| ( xN
= ( smndt0 @ xN ) )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ xN @ xN ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl6537]) ).
thf(zip_derived_cl92_050,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl92_051,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl6618,plain,
( ( xN
= ( smndt0 @ xN ) )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ xN @ xN ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6615,zip_derived_cl92,zip_derived_cl92]) ).
thf(zip_derived_cl6619,plain,
( xN
= ( smndt0 @ xN ) ),
inference(simplify,[status(thm)],[zip_derived_cl6618]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl6629,plain,
( ( ( sdtpldt0 @ xN @ xN )
= sz0z00 )
| ~ ( aScalar0 @ xN ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6619,zip_derived_cl18]) ).
thf(zip_derived_cl92_052,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl6637,plain,
( ( sdtpldt0 @ xN @ xN )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl6629,zip_derived_cl92]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz0z00 @ X0 )
= X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(mLEMon,axiom,
! [W0: $i,W1: $i,W2: $i,W3: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 )
& ( aScalar0 @ W3 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W2 @ W3 ) )
=> ( sdtlseqdt0 @ ( sdtpldt0 @ W0 @ W2 ) @ ( sdtpldt0 @ W1 @ W3 ) ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X3 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ X0 @ X2 ) @ ( sdtpldt0 @ X1 @ X3 ) )
| ~ ( sdtlseqdt0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[mLEMon]) ).
thf(zip_derived_cl1203,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( sdtlseqdt0 @ sz0z00 @ X2 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ sz0z00 )
| ~ ( aScalar0 @ X1 )
| ( sdtlseqdt0 @ X0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl36]) ).
thf(zip_derived_cl10_053,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl1225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( sdtlseqdt0 @ sz0z00 @ X2 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ( sdtlseqdt0 @ X0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1203,zip_derived_cl10]) ).
thf(zip_derived_cl1226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ X0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ~ ( sdtlseqdt0 @ sz0z00 @ X2 )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1225]) ).
thf(zip_derived_cl6655,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ X0 @ xN )
| ( sdtlseqdt0 @ X0 @ sz0z00 )
| ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ xN )
| ~ ( sdtlseqdt0 @ sz0z00 @ xN )
| ~ ( aScalar0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6637,zip_derived_cl1226]) ).
thf(zip_derived_cl92_054,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl92_055,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl1644_056,plain,
sdtlseqdt0 @ sz0z00 @ xN,
inference(demod,[status(thm)],[zip_derived_cl1437,zip_derived_cl1431,zip_derived_cl1432]) ).
thf(zip_derived_cl6664,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ X0 @ xN )
| ( sdtlseqdt0 @ X0 @ sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6655,zip_derived_cl92,zip_derived_cl92,zip_derived_cl1644]) ).
thf(zip_derived_cl6668,plain,
( ~ ( aScalar0 @ xN )
| ( sdtlseqdt0 @ xN @ sz0z00 )
| ~ ( aScalar0 @ xN ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl6664]) ).
thf(zip_derived_cl92_057,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl92_058,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl6674,plain,
sdtlseqdt0 @ xN @ sz0z00,
inference(demod,[status(thm)],[zip_derived_cl6668,zip_derived_cl92,zip_derived_cl92]) ).
thf(zip_derived_cl6683,plain,
xN = sz0z00,
inference(demod,[status(thm)],[zip_derived_cl1648,zip_derived_cl6674]) ).
thf(zip_derived_cl6696,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl6683]) ).
thf(zip_derived_cl12_059,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
= ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
inference(cnf,[status(esa)],[mArith]) ).
thf(zip_derived_cl33_060,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mLERef]) ).
thf(zip_derived_cl12_061,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl12_062,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl12_063,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(mLETot,axiom,
! [W0: $i,W1: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 ) )
=> ( ( sdtlseqdt0 @ W0 @ W1 )
| ( sdtlseqdt0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( sdtlseqdt0 @ X0 @ X1 )
| ( sdtlseqdt0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[mLETot]) ).
thf(zip_derived_cl94_064,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1350,plain,
( ( sdtlseqdt0 @ xN @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl94]) ).
thf(zip_derived_cl92_065,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl1368,plain,
( ( sdtlseqdt0 @ xN @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1350,zip_derived_cl92]) ).
thf(zip_derived_cl1440,plain,
( ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ( sdtlseqdt0 @ xN @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1368]) ).
thf(m__1911,axiom,
( ( xP
= ( sdtasdt0 @ xE @ xH ) )
& ( aScalar0 @ xP ) ) ).
thf(zip_derived_cl88,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl88_066,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl1443,plain,
sdtlseqdt0 @ xN @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl1440,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl1644_067,plain,
sdtlseqdt0 @ sz0z00 @ xN,
inference(demod,[status(thm)],[zip_derived_cl1437,zip_derived_cl1431,zip_derived_cl1432]) ).
thf(mLETrn,axiom,
! [W0: $i,W1: $i,W2: $i] :
( ( ( aScalar0 @ W0 )
& ( aScalar0 @ W1 )
& ( aScalar0 @ W2 ) )
=> ( ( ( sdtlseqdt0 @ W0 @ W1 )
& ( sdtlseqdt0 @ W1 @ W2 ) )
=> ( sdtlseqdt0 @ W0 @ W2 ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X2 )
| ( sdtlseqdt0 @ X0 @ X2 )
| ~ ( sdtlseqdt0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[mLETrn]) ).
thf(zip_derived_cl1646,plain,
! [X0: $i] :
( ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ sz0z00 )
| ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ X0 )
| ~ ( sdtlseqdt0 @ xN @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1644,zip_derived_cl35]) ).
thf(zip_derived_cl92_068,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl10_069,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl1649,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ X0 )
| ~ ( sdtlseqdt0 @ xN @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1646,zip_derived_cl92,zip_derived_cl10]) ).
thf(zip_derived_cl2154,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1443,zip_derived_cl1649]) ).
thf(zip_derived_cl2192,plain,
( ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl2154]) ).
thf(zip_derived_cl88_070,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl88_071,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl2195,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2192,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl42_072,plain,
! [X0: $i,X1: $i] :
( ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( X0 = X1 )
| ( ( sdtasdt0 @ X0 @ X0 )
!= ( sdtasdt0 @ X1 @ X1 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X1 ) ),
inference(cnf,[status(esa)],[mSqrt]) ).
thf(zip_derived_cl2200,plain,
! [X0: $i] :
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xP @ xP )
= X0 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) )
!= ( sdtasdt0 @ X0 @ X0 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2195,zip_derived_cl42]) ).
thf(zip_derived_cl2537,plain,
! [X0: $i] :
( ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xP @ xP )
= X0 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) )
!= ( sdtasdt0 @ X0 @ X0 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl2200]) ).
thf(zip_derived_cl88_073,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl88_074,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl2540,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xP @ xP )
= X0 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) )
!= ( sdtasdt0 @ X0 @ X0 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2537,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl3036,plain,
( ~ ( aScalar0 @ sz0z00 )
| ~ ( aScalar0 @ sz0z00 )
| ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) )
!= ( sdtasdt0 @ sz0z00 @ sz0z00 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl2540]) ).
thf(zip_derived_cl10_075,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl10_076,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl3054,plain,
( ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) )
!= ( sdtasdt0 @ sz0z00 @ sz0z00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3036,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl13_077,plain,
! [X0: $i] :
( ( aScalar0 @ ( smndt0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mNegSc]) ).
thf(zip_derived_cl18_078,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl15_079,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ sz0z00 @ X0 )
= X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl454,plain,
( ~ ( aScalar0 @ sz0z00 )
| ( sz0z00
= ( smndt0 @ sz0z00 ) )
| ~ ( aScalar0 @ ( smndt0 @ sz0z00 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl15]) ).
thf(zip_derived_cl10_080,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl457,plain,
( ( sz0z00
= ( smndt0 @ sz0z00 ) )
| ~ ( aScalar0 @ ( smndt0 @ sz0z00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl454,zip_derived_cl10]) ).
thf(zip_derived_cl470,plain,
( ~ ( aScalar0 @ sz0z00 )
| ( sz0z00
= ( smndt0 @ sz0z00 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl457]) ).
thf(zip_derived_cl10_081,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl471,plain,
( sz0z00
= ( smndt0 @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl470,zip_derived_cl10]) ).
thf(zip_derived_cl16_082,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl29_083,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
= ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mMNeg]) ).
thf(zip_derived_cl901,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ sz0z00 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ sz0z00 )
= ( smndt0 @ sz0z00 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl29]) ).
thf(zip_derived_cl10_084,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl471_085,plain,
( sz0z00
= ( smndt0 @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl470,zip_derived_cl10]) ).
thf(zip_derived_cl914,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ sz0z00 )
= sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl901,zip_derived_cl10,zip_derived_cl471]) ).
thf(zip_derived_cl915,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl914]) ).
thf(zip_derived_cl3144,plain,
( ( ( sdtasdt0 @ sz0z00 @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ sz0z00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl471,zip_derived_cl915]) ).
thf(zip_derived_cl10_086,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl3148,plain,
( ( sdtasdt0 @ sz0z00 @ sz0z00 )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl3144,zip_derived_cl10]) ).
thf(zip_derived_cl3170,plain,
( ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) )
!= sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl3054,zip_derived_cl3148]) ).
thf(zip_derived_cl3220,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
!= sz0z00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl3170]) ).
thf(zip_derived_cl88_087,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl88_088,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl3227,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
!= sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl3220,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl4307,plain,
( ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
!= sz0z00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl3227]) ).
thf(zip_derived_cl88_089,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl88_090,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl4310,plain,
( ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
!= sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl4307,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl87,plain,
( xP
= ( sdtasdt0 @ xE @ xH ) ),
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl30_091,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ X0 @ ( smndt0 @ X1 ) )
= ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mMNeg]) ).
thf(zip_derived_cl996,plain,
( ~ ( aScalar0 @ xE )
| ~ ( aScalar0 @ xH )
| ( ( sdtasdt0 @ xE @ ( smndt0 @ xH ) )
= ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl30]) ).
thf(m__1820,axiom,
( ( xE
= ( sdtasasdt0 @ xp @ xq ) )
& ( aScalar0 @ xE ) ) ).
thf(zip_derived_cl78,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(m__1873,axiom,
( ( xH
= ( sdtasdt0 @ xA @ xB ) )
& ( aScalar0 @ xH ) ) ).
thf(zip_derived_cl84,plain,
aScalar0 @ xH,
inference(cnf,[status(esa)],[m__1873]) ).
thf(zip_derived_cl1013,plain,
( ( sdtasdt0 @ xE @ ( smndt0 @ xH ) )
= ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl996,zip_derived_cl78,zip_derived_cl84]) ).
thf(zip_derived_cl29_092,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
= ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mMNeg]) ).
thf(zip_derived_cl1073,plain,
( ~ ( aScalar0 @ xE )
| ~ ( aScalar0 @ ( smndt0 @ xH ) )
| ( ( sdtasdt0 @ ( smndt0 @ xE ) @ ( smndt0 @ xH ) )
= ( smndt0 @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1013,zip_derived_cl29]) ).
thf(zip_derived_cl78_093,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(zip_derived_cl1085,plain,
( ~ ( aScalar0 @ ( smndt0 @ xH ) )
| ( ( sdtasdt0 @ ( smndt0 @ xE ) @ ( smndt0 @ xH ) )
= ( smndt0 @ ( smndt0 @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1073,zip_derived_cl78]) ).
thf(zip_derived_cl13_094,plain,
! [X0: $i] :
( ( aScalar0 @ ( smndt0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mNegSc]) ).
thf(zip_derived_cl83,plain,
( xH
= ( sdtasdt0 @ xA @ xB ) ),
inference(cnf,[status(esa)],[m__1873]) ).
thf(zip_derived_cl29_095,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
= ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mMNeg]) ).
thf(zip_derived_cl905,plain,
( ~ ( aScalar0 @ xA )
| ~ ( aScalar0 @ xB )
| ( ( sdtasdt0 @ ( smndt0 @ xA ) @ xB )
= ( smndt0 @ xH ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl29]) ).
thf(zip_derived_cl70_096,plain,
aScalar0 @ xA,
inference(cnf,[status(esa)],[m__1746]) ).
thf(zip_derived_cl72_097,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl920,plain,
( ( sdtasdt0 @ ( smndt0 @ xA ) @ xB )
= ( smndt0 @ xH ) ),
inference(demod,[status(thm)],[zip_derived_cl905,zip_derived_cl70,zip_derived_cl72]) ).
thf(zip_derived_cl12_098,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl1138,plain,
( ~ ( aScalar0 @ ( smndt0 @ xA ) )
| ~ ( aScalar0 @ xB )
| ( aScalar0 @ ( smndt0 @ xH ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl920,zip_derived_cl12]) ).
thf(zip_derived_cl72_099,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl1152,plain,
( ~ ( aScalar0 @ ( smndt0 @ xA ) )
| ( aScalar0 @ ( smndt0 @ xH ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1138,zip_derived_cl72]) ).
thf(zip_derived_cl2316,plain,
( ~ ( aScalar0 @ xA )
| ( aScalar0 @ ( smndt0 @ xH ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1152]) ).
thf(zip_derived_cl70_100,plain,
aScalar0 @ xA,
inference(cnf,[status(esa)],[m__1746]) ).
thf(zip_derived_cl2317,plain,
aScalar0 @ ( smndt0 @ xH ),
inference(demod,[status(thm)],[zip_derived_cl2316,zip_derived_cl70]) ).
thf(zip_derived_cl11335,plain,
( ( sdtasdt0 @ ( smndt0 @ xE ) @ ( smndt0 @ xH ) )
= ( smndt0 @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1085,zip_derived_cl2317]) ).
thf(zip_derived_cl31_101,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ ( smndt0 @ X1 ) )
= ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMDNeg]) ).
thf(zip_derived_cl11351,plain,
( ~ ( aScalar0 @ xE )
| ~ ( aScalar0 @ xH )
| ( ( smndt0 @ ( smndt0 @ xP ) )
= ( sdtasdt0 @ xE @ xH ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11335,zip_derived_cl31]) ).
thf(zip_derived_cl78_102,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(zip_derived_cl84_103,plain,
aScalar0 @ xH,
inference(cnf,[status(esa)],[m__1873]) ).
thf(zip_derived_cl87_104,plain,
( xP
= ( sdtasdt0 @ xE @ xH ) ),
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl11367,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11351,zip_derived_cl78,zip_derived_cl84,zip_derived_cl87]) ).
thf(zip_derived_cl11367_105,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11351,zip_derived_cl78,zip_derived_cl84,zip_derived_cl87]) ).
thf(zip_derived_cl31_106,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ ( smndt0 @ X1 ) )
= ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMDNeg]) ).
thf(zip_derived_cl11381,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ xP )
= ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11367,zip_derived_cl31]) ).
thf(zip_derived_cl13_107,plain,
! [X0: $i] :
( ( aScalar0 @ ( smndt0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mNegSc]) ).
thf(zip_derived_cl87_108,plain,
( xP
= ( sdtasdt0 @ xE @ xH ) ),
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl29_109,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
= ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mMNeg]) ).
thf(zip_derived_cl909,plain,
( ~ ( aScalar0 @ xE )
| ~ ( aScalar0 @ xH )
| ( ( sdtasdt0 @ ( smndt0 @ xE ) @ xH )
= ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl29]) ).
thf(zip_derived_cl78_110,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(zip_derived_cl84_111,plain,
aScalar0 @ xH,
inference(cnf,[status(esa)],[m__1873]) ).
thf(zip_derived_cl924,plain,
( ( sdtasdt0 @ ( smndt0 @ xE ) @ xH )
= ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl909,zip_derived_cl78,zip_derived_cl84]) ).
thf(zip_derived_cl12_112,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl927,plain,
( ~ ( aScalar0 @ ( smndt0 @ xE ) )
| ~ ( aScalar0 @ xH )
| ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl924,zip_derived_cl12]) ).
thf(zip_derived_cl84_113,plain,
aScalar0 @ xH,
inference(cnf,[status(esa)],[m__1873]) ).
thf(zip_derived_cl940,plain,
( ~ ( aScalar0 @ ( smndt0 @ xE ) )
| ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl927,zip_derived_cl84]) ).
thf(zip_derived_cl1346,plain,
( ~ ( aScalar0 @ xE )
| ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl940]) ).
thf(zip_derived_cl78_114,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(zip_derived_cl1347,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl1346,zip_derived_cl78]) ).
thf(zip_derived_cl11391,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ xP )
= ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11381,zip_derived_cl1347]) ).
thf(zip_derived_cl22129,plain,
( ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ( ( sdtasdt0 @ xP @ xP )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11367,zip_derived_cl11391]) ).
thf(zip_derived_cl1347_115,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl1346,zip_derived_cl78]) ).
thf(zip_derived_cl22134,plain,
( ( sdtasdt0 @ xP @ xP )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22129,zip_derived_cl1347]) ).
thf(zip_derived_cl29_116,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
= ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mMNeg]) ).
thf(zip_derived_cl22160,plain,
( ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ( ( sdtasdt0 @ ( smndt0 @ ( smndt0 @ xP ) ) @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22134,zip_derived_cl29]) ).
thf(zip_derived_cl1347_117,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl1346,zip_derived_cl78]) ).
thf(zip_derived_cl1347_118,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl1346,zip_derived_cl78]) ).
thf(zip_derived_cl11367_119,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11351,zip_derived_cl78,zip_derived_cl84,zip_derived_cl87]) ).
thf(zip_derived_cl22192,plain,
( ( sdtasdt0 @ xP @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22160,zip_derived_cl1347,zip_derived_cl1347,zip_derived_cl11367]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( ( smndt0 @ ( smndt0 @ X0 ) )
= X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl22232,plain,
( ( ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22192,zip_derived_cl20]) ).
thf(zip_derived_cl11367_120,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11351,zip_derived_cl78,zip_derived_cl84,zip_derived_cl87]) ).
thf(zip_derived_cl11367_121,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11351,zip_derived_cl78,zip_derived_cl84,zip_derived_cl87]) ).
thf(zip_derived_cl31_122,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ ( smndt0 @ X1 ) )
= ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMDNeg]) ).
thf(zip_derived_cl11376,plain,
! [X0: $i] :
( ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11367,zip_derived_cl31]) ).
thf(zip_derived_cl1347_123,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl1346,zip_derived_cl78]) ).
thf(zip_derived_cl11386,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11376,zip_derived_cl1347]) ).
thf(zip_derived_cl12_124,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl21555,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ~ ( aScalar0 @ X0 )
| ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11386,zip_derived_cl12]) ).
thf(zip_derived_cl1347_125,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl1346,zip_derived_cl78]) ).
thf(zip_derived_cl21603,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X0 )
| ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21555,zip_derived_cl1347]) ).
thf(zip_derived_cl21604,plain,
! [X0: $i] :
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21603]) ).
thf(zip_derived_cl21781,plain,
( ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11367,zip_derived_cl21604]) ).
thf(zip_derived_cl1347_126,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl1346,zip_derived_cl78]) ).
thf(zip_derived_cl21786,plain,
aScalar0 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl21781,zip_derived_cl1347]) ).
thf(zip_derived_cl22249,plain,
( ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22232,zip_derived_cl21786]) ).
thf(zip_derived_cl11391_127,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ xP )
= ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11381,zip_derived_cl1347]) ).
thf(zip_derived_cl22318,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22249,zip_derived_cl11391]) ).
thf(zip_derived_cl11386_128,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11376,zip_derived_cl1347]) ).
thf(zip_derived_cl580_129,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ X0 )
= ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl21559,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) )
= ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11386,zip_derived_cl580]) ).
thf(zip_derived_cl1347_130,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl1346,zip_derived_cl78]) ).
thf(zip_derived_cl21611,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) )
= ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl21559,zip_derived_cl1347]) ).
thf(zip_derived_cl21612,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) )
= ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21611]) ).
thf(zip_derived_cl21604_131,plain,
! [X0: $i] :
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21603]) ).
thf(zip_derived_cl21876,plain,
( ~ ( aScalar0 @ xP )
| ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
| ~ ( aScalar0 @ xP ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21612,zip_derived_cl21604]) ).
thf(zip_derived_cl88_132,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl88_133,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl21960,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21876,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl22336,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22318,zip_derived_cl21960]) ).
thf(zip_derived_cl21612_134,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) )
= ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21611]) ).
thf(zip_derived_cl22708,plain,
( ( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP )
= ( sdtasdt0 @ xP @ ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22336,zip_derived_cl21612]) ).
thf(zip_derived_cl22249_135,plain,
( ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22232,zip_derived_cl21786]) ).
thf(zip_derived_cl21960_136,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21876,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl22738,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP )
= ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22708,zip_derived_cl22249,zip_derived_cl21960]) ).
thf(zip_derived_cl580_137,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ X0 )
= ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl33_138,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mLERef]) ).
thf(zip_derived_cl12_139,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mMulSc]) ).
thf(zip_derived_cl2195_140,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2192,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl1327_141,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sdtlseqdt0 @ sz0z00 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X1 @ X0 ) )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ~ ( sdtlseqdt0 @ X2 @ X1 )
| ~ ( aScalar0 @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1326]) ).
thf(zip_derived_cl3667,plain,
! [X0: $i,X1: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ X0 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( aScalar0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2195,zip_derived_cl1327]) ).
thf(zip_derived_cl10680,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ X0 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( aScalar0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl3667]) ).
thf(zip_derived_cl88_142,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl88_143,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl10683,plain,
! [X0: $i,X1: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ X0 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( aScalar0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl10680,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl41907,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl10683]) ).
thf(zip_derived_cl42024,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41907]) ).
thf(zip_derived_cl46227,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl580,zip_derived_cl42024]) ).
thf(zip_derived_cl21786_144,plain,
aScalar0 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl21781,zip_derived_cl1347]) ).
thf(zip_derived_cl46236,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl46227,zip_derived_cl21786]) ).
thf(zip_derived_cl46237,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl46236]) ).
thf(zip_derived_cl46840,plain,
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ xP ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22738,zip_derived_cl46237]) ).
thf(zip_derived_cl88_145,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl46853,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl46840,zip_derived_cl88]) ).
thf(zip_derived_cl34_146,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( X0 = X1 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[mLEASm]) ).
thf(zip_derived_cl46865,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ sz0z00 )
| ( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) )
= sz0z00 )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) @ sz0z00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46853,zip_derived_cl34]) ).
thf(zip_derived_cl22249_147,plain,
( ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22232,zip_derived_cl21786]) ).
thf(zip_derived_cl21604_148,plain,
! [X0: $i] :
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21603]) ).
thf(zip_derived_cl22319,plain,
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22249,zip_derived_cl21604]) ).
thf(zip_derived_cl21960_149,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21876,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl22337,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22319,zip_derived_cl21960]) ).
thf(zip_derived_cl10_150,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl46947,plain,
( ( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) )
= sz0z00 )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl46865,zip_derived_cl22337,zip_derived_cl10]) ).
thf(zip_derived_cl33_151,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mLERef]) ).
thf(zip_derived_cl22336_152,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22318,zip_derived_cl21960]) ).
thf(zip_derived_cl29_153,plain,
! [X0: $i,X1: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ X1 )
= ( smndt0 @ ( sdtasdt0 @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[mMNeg]) ).
thf(zip_derived_cl22686,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
| ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ( ( sdtasdt0 @ ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22336,zip_derived_cl29]) ).
thf(zip_derived_cl21960_154,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21876,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl1347_155,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl1346,zip_derived_cl78]) ).
thf(zip_derived_cl22249_156,plain,
( ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22232,zip_derived_cl21786]) ).
thf(zip_derived_cl22192_157,plain,
( ( sdtasdt0 @ xP @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22160,zip_derived_cl1347,zip_derived_cl1347,zip_derived_cl11367]) ).
thf(zip_derived_cl11391_158,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ xP )
= ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11381,zip_derived_cl1347]) ).
thf(zip_derived_cl22238,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) @ xP )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22192,zip_derived_cl11391]) ).
thf(zip_derived_cl21786_159,plain,
aScalar0 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl21781,zip_derived_cl1347]) ).
thf(zip_derived_cl22255,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) @ xP )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22238,zip_derived_cl21786]) ).
thf(zip_derived_cl580_160,plain,
! [X0: $i,X1: $i] :
( ( ( sdtasdt0 @ X1 @ X0 )
= ( sdtasdt0 @ X0 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl22501,plain,
( ( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( smndt0 @ xP ) ) )
| ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22255,zip_derived_cl580]) ).
thf(zip_derived_cl88_161,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl21960_162,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21876,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl22529,plain,
( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22501,zip_derived_cl88,zip_derived_cl21960]) ).
thf(zip_derived_cl22716,plain,
( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( smndt0 @ ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22686,zip_derived_cl21960,zip_derived_cl1347,zip_derived_cl22249,zip_derived_cl22529]) ).
thf(zip_derived_cl22738_163,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP )
= ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22708,zip_derived_cl22249,zip_derived_cl21960]) ).
thf(zip_derived_cl22814,plain,
( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22716,zip_derived_cl22738]) ).
thf(zip_derived_cl18_164,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl22816,plain,
( ( ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) )
= sz0z00 )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22814,zip_derived_cl18]) ).
thf(zip_derived_cl22337_165,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22319,zip_derived_cl21960]) ).
thf(zip_derived_cl22834,plain,
( ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl22816,zip_derived_cl22337]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ sz0z00 )
= X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl36_166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sdtlseqdt0 @ X0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X3 )
| ( sdtlseqdt0 @ ( sdtpldt0 @ X0 @ X2 ) @ ( sdtpldt0 @ X1 @ X3 ) )
| ~ ( sdtlseqdt0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[mLEMon]) ).
thf(zip_derived_cl1201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X2 )
| ~ ( aScalar0 @ sz0z00 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( sdtlseqdt0 @ X0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl36]) ).
thf(zip_derived_cl10_167,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl1222,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( sdtlseqdt0 @ X0 @ X2 )
| ~ ( aScalar0 @ X2 )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X1 )
| ( sdtlseqdt0 @ X0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1201,zip_derived_cl10]) ).
thf(zip_derived_cl1223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( sdtlseqdt0 @ sz0z00 @ X1 )
| ( sdtlseqdt0 @ X0 @ ( sdtpldt0 @ X2 @ X1 ) )
| ~ ( aScalar0 @ X1 )
| ~ ( aScalar0 @ X2 )
| ~ ( sdtlseqdt0 @ X0 @ X2 )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1222]) ).
thf(zip_derived_cl116183,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) )
| ( sdtlseqdt0 @ X0 @ sz0z00 )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22834,zip_derived_cl1223]) ).
thf(zip_derived_cl11386_168,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11376,zip_derived_cl1347]) ).
thf(zip_derived_cl42024_169,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl41907]) ).
thf(zip_derived_cl46232,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ) )
| ~ ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11386,zip_derived_cl42024]) ).
thf(zip_derived_cl21786_170,plain,
aScalar0 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl21781,zip_derived_cl1347]) ).
thf(zip_derived_cl22192_171,plain,
( ( sdtasdt0 @ xP @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22160,zip_derived_cl1347,zip_derived_cl1347,zip_derived_cl11367]) ).
thf(zip_derived_cl1347_172,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl1346,zip_derived_cl78]) ).
thf(zip_derived_cl46243,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46232,zip_derived_cl21786,zip_derived_cl22192,zip_derived_cl1347]) ).
thf(zip_derived_cl22192_173,plain,
( ( sdtasdt0 @ xP @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22160,zip_derived_cl1347,zip_derived_cl1347,zip_derived_cl11367]) ).
thf(zip_derived_cl21604_174,plain,
! [X0: $i] :
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21603]) ).
thf(zip_derived_cl22239,plain,
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22192,zip_derived_cl21604]) ).
thf(zip_derived_cl21786_175,plain,
aScalar0 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl21781,zip_derived_cl1347]) ).
thf(zip_derived_cl22256,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22239,zip_derived_cl21786]) ).
thf(zip_derived_cl22337_176,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22319,zip_derived_cl21960]) ).
thf(zip_derived_cl116216,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ sz0z00 )
| ~ ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl116183,zip_derived_cl46243,zip_derived_cl22256,zip_derived_cl22337]) ).
thf(zip_derived_cl116292,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
| ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) @ sz0z00 )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl116216]) ).
thf(zip_derived_cl22337_177,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22319,zip_derived_cl21960]) ).
thf(zip_derived_cl22337_178,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22319,zip_derived_cl21960]) ).
thf(zip_derived_cl116353,plain,
sdtlseqdt0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) @ sz0z00,
inference(demod,[status(thm)],[zip_derived_cl116292,zip_derived_cl22337,zip_derived_cl22337]) ).
thf(zip_derived_cl116426,plain,
( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl46947,zip_derived_cl116353]) ).
thf(zip_derived_cl11367_179,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11351,zip_derived_cl78,zip_derived_cl84,zip_derived_cl87]) ).
thf(zip_derived_cl915_180,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl914]) ).
thf(zip_derived_cl11377,plain,
( ( ( sdtasdt0 @ xP @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11367,zip_derived_cl915]) ).
thf(zip_derived_cl1347_181,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl1346,zip_derived_cl78]) ).
thf(zip_derived_cl11387,plain,
( ( sdtasdt0 @ xP @ sz0z00 )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl11377,zip_derived_cl1347]) ).
thf(zip_derived_cl116486,plain,
( ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( sz0z00 != sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl4310,zip_derived_cl116426,zip_derived_cl11387]) ).
thf(zip_derived_cl116487,plain,
( ( sdtasdt0 @ xP @ xP )
= sz0z00 ),
inference(simplify,[status(thm)],[zip_derived_cl116486]) ).
thf(zip_derived_cl509_182,plain,
sdtlseqdt0 @ sz0z00 @ sz0z00,
inference(demod,[status(thm)],[zip_derived_cl505,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl116839,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6696,zip_derived_cl116487,zip_derived_cl509]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG054+2 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.T1XwnFALml true
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 17:19:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.58/0.65 % Total configuration time : 435
% 0.58/0.65 % Estimated wc time : 1092
% 0.58/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 159.33/23.45 % Solved by fo/fo6_bce.sh.
% 159.33/23.45 % BCE start: 95
% 159.33/23.45 % BCE eliminated: 0
% 159.33/23.45 % PE start: 95
% 159.33/23.45 logic: eq
% 159.33/23.45 % PE eliminated: 1
% 159.33/23.45 % done 7546 iterations in 22.684s
% 159.33/23.45 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 159.33/23.45 % SZS output start Refutation
% See solution above
% 159.33/23.46
% 159.33/23.46
% 160.03/23.46 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 160.03/23.46 % Terminating...
% 160.40/23.58 % Runner terminated.
% 160.40/23.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------