TSTP Solution File: RNG054+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG054+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.B2vq1bavRE true
% Computer : n031.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 Aug 31 14:06:32 EDT 2023
% Result : Theorem 155.11s 22.75s
% Output : Refutation 155.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 59
% Syntax : Number of formulae : 478 ( 205 unt; 27 typ; 0 def)
% Number of atoms : 994 ( 212 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 3286 ( 472 ~; 470 |; 51 &;2271 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 18 con; 0-2 aty)
% Number of variables : 246 ( 0 ^; 246 !; 0 ?; 246 :)
% Comments :
%------------------------------------------------------------------------------
thf(xN_type,type,
xN: $i ).
thf(xP_type,type,
xP: $i ).
thf(xq_type,type,
xq: $i ).
thf(sdtlbdtrb0_type,type,
sdtlbdtrb0: $i > $i > $i ).
thf(xR_type,type,
xR: $i ).
thf(sziznziztdt0_type,type,
sziznziztdt0: $i > $i ).
thf(xS_type,type,
xS: $i ).
thf(aVector0_type,type,
aVector0: $i > $o ).
thf(xF_type,type,
xF: $i ).
thf(xC_type,type,
xC: $i ).
thf(xp_type,type,
xp: $i ).
thf(xD_type,type,
xD: $i ).
thf(smndt0_type,type,
smndt0: $i > $i ).
thf(xs_type,type,
xs: $i ).
thf(sz0z00_type,type,
sz0z00: $i ).
thf(xH_type,type,
xH: $i ).
thf(xB_type,type,
xB: $i ).
thf(xE_type,type,
xE: $i ).
thf(xG_type,type,
xG: $i ).
thf(aDimensionOf0_type,type,
aDimensionOf0: $i > $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(aScalar0_type,type,
aScalar0: $i > $o ).
thf(xt_type,type,
xt: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(xA_type,type,
xA: $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_cl90,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_cl87,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_cl1409,plain,
( ~ ( sdtlseqdt0 @ sz0z00 @ xR )
| ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xS )
| ( sdtlseqdt0 @ sz0z00 @ xN )
| ~ ( sdtlseqdt0 @ sz0z00 @ xS ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl39]) ).
thf(m__1892,axiom,
( ( xR
= ( sdtasdt0 @ xC @ xG ) )
& ( aScalar0 @ xR ) ) ).
thf(zip_derived_cl82,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(m__1930,axiom,
( ( xS
= ( sdtasdt0 @ xF @ xD ) )
& ( aScalar0 @ xS ) ) ).
thf(zip_derived_cl86,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl1433,plain,
( ~ ( sdtlseqdt0 @ sz0z00 @ xR )
| ( sdtlseqdt0 @ sz0z00 @ xN )
| ~ ( sdtlseqdt0 @ sz0z00 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1409,zip_derived_cl82,zip_derived_cl86]) ).
thf(zip_derived_cl81,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_cl1403,plain,
( ~ ( sdtlseqdt0 @ sz0z00 @ xC )
| ~ ( aScalar0 @ xC )
| ~ ( aScalar0 @ xG )
| ( sdtlseqdt0 @ sz0z00 @ xR )
| ~ ( sdtlseqdt0 @ sz0z00 @ xG ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl39]) ).
thf(m__1783,axiom,
( ( xC
= ( sdtasasdt0 @ xp @ xp ) )
& ( aScalar0 @ xC ) ) ).
thf(zip_derived_cl69,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_cl568,plain,
( ( sdtlseqdt0 @ sz0z00 @ xC )
| ~ ( aVector0 @ xp ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl69,zip_derived_cl55]) ).
thf(m__1709,axiom,
( ( xp
= ( sziznziztdt0 @ xs ) )
& ( aVector0 @ xp ) ) ).
thf(zip_derived_cl62,plain,
aVector0 @ xp,
inference(cnf,[status(esa)],[m__1709]) ).
thf(zip_derived_cl570,plain,
sdtlseqdt0 @ sz0z00 @ xC,
inference(demod,[status(thm)],[zip_derived_cl568,zip_derived_cl62]) ).
thf(zip_derived_cl70,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(m__1854,axiom,
( ( xG
= ( sdtasdt0 @ xB @ xB ) )
& ( aScalar0 @ xG ) ) ).
thf(zip_derived_cl78,plain,
aScalar0 @ xG,
inference(cnf,[status(esa)],[m__1854]) ).
thf(zip_derived_cl77,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_cl500,plain,
( ( sdtlseqdt0 @ sz0z00 @ xG )
| ~ ( aScalar0 @ xB ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl41]) ).
thf(m__1766,axiom,
( ( xB
= ( sdtlbdtrb0 @ xt @ ( aDimensionOf0 @ xt ) ) )
& ( aScalar0 @ xB ) ) ).
thf(zip_derived_cl68,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl504,plain,
sdtlseqdt0 @ sz0z00 @ xG,
inference(demod,[status(thm)],[zip_derived_cl500,zip_derived_cl68]) ).
thf(zip_derived_cl1427,plain,
sdtlseqdt0 @ sz0z00 @ xR,
inference(demod,[status(thm)],[zip_derived_cl1403,zip_derived_cl570,zip_derived_cl70,zip_derived_cl78,zip_derived_cl504]) ).
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_cl572,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_cl85,plain,
( xS
= ( sdtasdt0 @ xF @ xD ) ),
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl581,plain,
( ~ ( aScalar0 @ xF )
| ~ ( aScalar0 @ xD )
| ( xS
= ( sdtasdt0 @ xD @ xF ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl572,zip_derived_cl85]) ).
thf(m__1837,axiom,
( ( xF
= ( sdtasdt0 @ xA @ xA ) )
& ( aScalar0 @ xF ) ) ).
thf(zip_derived_cl76,plain,
aScalar0 @ xF,
inference(cnf,[status(esa)],[m__1837]) ).
thf(m__1800,axiom,
( ( xD
= ( sdtasasdt0 @ xq @ xq ) )
& ( aScalar0 @ xD ) ) ).
thf(zip_derived_cl72,plain,
aScalar0 @ xD,
inference(cnf,[status(esa)],[m__1800]) ).
thf(zip_derived_cl603,plain,
( xS
= ( sdtasdt0 @ xD @ xF ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl76,zip_derived_cl72]) ).
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_cl1404,plain,
( ~ ( sdtlseqdt0 @ sz0z00 @ xD )
| ~ ( aScalar0 @ xD )
| ~ ( aScalar0 @ xF )
| ( sdtlseqdt0 @ sz0z00 @ xS )
| ~ ( sdtlseqdt0 @ sz0z00 @ xF ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl603,zip_derived_cl39]) ).
thf(zip_derived_cl71,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_cl569,plain,
( ( sdtlseqdt0 @ sz0z00 @ xD )
| ~ ( aVector0 @ xq ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl55]) ).
thf(m__1726,axiom,
( ( xq
= ( sziznziztdt0 @ xt ) )
& ( aVector0 @ xq ) ) ).
thf(zip_derived_cl64,plain,
aVector0 @ xq,
inference(cnf,[status(esa)],[m__1726]) ).
thf(zip_derived_cl571,plain,
sdtlseqdt0 @ sz0z00 @ xD,
inference(demod,[status(thm)],[zip_derived_cl569,zip_derived_cl64]) ).
thf(zip_derived_cl72_004,plain,
aScalar0 @ xD,
inference(cnf,[status(esa)],[m__1800]) ).
thf(zip_derived_cl76_005,plain,
aScalar0 @ xF,
inference(cnf,[status(esa)],[m__1837]) ).
thf(zip_derived_cl75,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_cl499,plain,
( ( sdtlseqdt0 @ sz0z00 @ xF )
| ~ ( aScalar0 @ xA ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl75,zip_derived_cl41]) ).
thf(m__1746,axiom,
( ( xA
= ( sdtlbdtrb0 @ xs @ ( aDimensionOf0 @ xs ) ) )
& ( aScalar0 @ xA ) ) ).
thf(zip_derived_cl66,plain,
aScalar0 @ xA,
inference(cnf,[status(esa)],[m__1746]) ).
thf(zip_derived_cl503,plain,
sdtlseqdt0 @ sz0z00 @ xF,
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl66]) ).
thf(zip_derived_cl1428,plain,
sdtlseqdt0 @ sz0z00 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1404,zip_derived_cl571,zip_derived_cl72,zip_derived_cl76,zip_derived_cl503]) ).
thf(zip_derived_cl1560,plain,
sdtlseqdt0 @ sz0z00 @ xN,
inference(demod,[status(thm)],[zip_derived_cl1433,zip_derived_cl1427,zip_derived_cl1428]) ).
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_cl1561,plain,
( ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ sz0z00 )
| ( xN = sz0z00 )
| ~ ( sdtlseqdt0 @ xN @ sz0z00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1560,zip_derived_cl34]) ).
thf(zip_derived_cl88,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_cl1564,plain,
( ( xN = sz0z00 )
| ~ ( sdtlseqdt0 @ xN @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1561,zip_derived_cl88,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_cl87_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_cl893,plain,
( ~ ( aScalar0 @ xR )
| ~ ( aScalar0 @ xS )
| ( ( sdtasdt0 @ ( smndt0 @ xR ) @ xS )
= ( smndt0 @ xN ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl29]) ).
thf(zip_derived_cl82_008,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl86_009,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl908,plain,
( ( sdtasdt0 @ ( smndt0 @ xR ) @ xS )
= ( smndt0 @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl893,zip_derived_cl82,zip_derived_cl86]) ).
thf(zip_derived_cl572_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_cl937,plain,
( ( ( sdtasdt0 @ xS @ ( smndt0 @ xR ) )
= ( smndt0 @ xN ) )
| ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ ( smndt0 @ xR ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl908,zip_derived_cl572]) ).
thf(zip_derived_cl86_011,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl950,plain,
( ( ( sdtasdt0 @ xS @ ( smndt0 @ xR ) )
= ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( smndt0 @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl937,zip_derived_cl86]) ).
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_cl81_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_cl889,plain,
( ~ ( aScalar0 @ xC )
| ~ ( aScalar0 @ xG )
| ( ( sdtasdt0 @ ( smndt0 @ xC ) @ xG )
= ( smndt0 @ xR ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl29]) ).
thf(zip_derived_cl70_014,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl78_015,plain,
aScalar0 @ xG,
inference(cnf,[status(esa)],[m__1854]) ).
thf(zip_derived_cl904,plain,
( ( sdtasdt0 @ ( smndt0 @ xC ) @ xG )
= ( smndt0 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl889,zip_derived_cl70,zip_derived_cl78]) ).
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_cl1693,plain,
( ~ ( aScalar0 @ ( smndt0 @ xC ) )
| ~ ( aScalar0 @ xG )
| ( aScalar0 @ ( smndt0 @ xR ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl904,zip_derived_cl12]) ).
thf(zip_derived_cl78_016,plain,
aScalar0 @ xG,
inference(cnf,[status(esa)],[m__1854]) ).
thf(zip_derived_cl1710,plain,
( ~ ( aScalar0 @ ( smndt0 @ xC ) )
| ( aScalar0 @ ( smndt0 @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1693,zip_derived_cl78]) ).
thf(zip_derived_cl2276,plain,
( ~ ( aScalar0 @ xC )
| ( aScalar0 @ ( smndt0 @ xR ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1710]) ).
thf(zip_derived_cl70_017,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl2277,plain,
aScalar0 @ ( smndt0 @ xR ),
inference(demod,[status(thm)],[zip_derived_cl2276,zip_derived_cl70]) ).
thf(zip_derived_cl2479,plain,
( ( sdtasdt0 @ xS @ ( smndt0 @ xR ) )
= ( smndt0 @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl950,zip_derived_cl2277]) ).
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_cl2483,plain,
( ~ ( sdtlseqdt0 @ sz0z00 @ xS )
| ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ ( smndt0 @ xR ) )
| ( sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xN ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xR ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2479,zip_derived_cl39]) ).
thf(zip_derived_cl1428_019,plain,
sdtlseqdt0 @ sz0z00 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1404,zip_derived_cl571,zip_derived_cl72,zip_derived_cl76,zip_derived_cl503]) ).
thf(zip_derived_cl86_020,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl2277_021,plain,
aScalar0 @ ( smndt0 @ xR ),
inference(demod,[status(thm)],[zip_derived_cl2276,zip_derived_cl70]) ).
thf(zip_derived_cl2498,plain,
( ( sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xN ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2483,zip_derived_cl1428,zip_derived_cl86,zip_derived_cl2277]) ).
thf(zip_derived_cl81_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_cl976,plain,
( ~ ( aScalar0 @ xC )
| ~ ( aScalar0 @ xG )
| ( ( sdtasdt0 @ xC @ ( smndt0 @ xG ) )
= ( smndt0 @ xR ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl30]) ).
thf(zip_derived_cl70_023,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl78_024,plain,
aScalar0 @ xG,
inference(cnf,[status(esa)],[m__1854]) ).
thf(zip_derived_cl993,plain,
( ( sdtasdt0 @ xC @ ( smndt0 @ xG ) )
= ( smndt0 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl976,zip_derived_cl70,zip_derived_cl78]) ).
thf(zip_derived_cl572_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_cl570_027,plain,
sdtlseqdt0 @ sz0z00 @ xC,
inference(demod,[status(thm)],[zip_derived_cl568,zip_derived_cl62]) ).
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_cl1241,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_cl497,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_cl501,plain,
sdtlseqdt0 @ sz0z00 @ sz0z00,
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl10_032,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl1282,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_cl1241,zip_derived_cl501,zip_derived_cl10]) ).
thf(zip_derived_cl1283,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_cl1282]) ).
thf(zip_derived_cl3501,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_cl570,zip_derived_cl1283]) ).
thf(zip_derived_cl70_033,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl3517,plain,
! [X0: $i,X1: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ xC ) )
| ~ ( aScalar0 @ X0 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( aScalar0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3501,zip_derived_cl70]) ).
thf(zip_derived_cl5256,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ xC ) )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl3517]) ).
thf(zip_derived_cl5302,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ xC ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5256]) ).
thf(zip_derived_cl6010,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ xC )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xC @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl572,zip_derived_cl5302]) ).
thf(zip_derived_cl70_034,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl6014,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xC @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6010,zip_derived_cl70]) ).
thf(zip_derived_cl6015,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xC @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6014]) ).
thf(zip_derived_cl6187,plain,
( ( sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xG ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl993,zip_derived_cl6015]) ).
thf(zip_derived_cl13_035,plain,
! [X0: $i] :
( ( aScalar0 @ ( smndt0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mNegSc]) ).
thf(zip_derived_cl77_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_cl888,plain,
( ~ ( aScalar0 @ xB )
| ~ ( aScalar0 @ xB )
| ( ( sdtasdt0 @ ( smndt0 @ xB ) @ xB )
= ( smndt0 @ xG ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl29]) ).
thf(zip_derived_cl68_038,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl68_039,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl903,plain,
( ( sdtasdt0 @ ( smndt0 @ xB ) @ xB )
= ( smndt0 @ xG ) ),
inference(demod,[status(thm)],[zip_derived_cl888,zip_derived_cl68,zip_derived_cl68]) ).
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_cl1309,plain,
( ~ ( aScalar0 @ ( smndt0 @ xB ) )
| ~ ( aScalar0 @ xB )
| ( aScalar0 @ ( smndt0 @ xG ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl903,zip_derived_cl12]) ).
thf(zip_derived_cl68_041,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl1325,plain,
( ~ ( aScalar0 @ ( smndt0 @ xB ) )
| ( aScalar0 @ ( smndt0 @ xG ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1309,zip_derived_cl68]) ).
thf(zip_derived_cl2263,plain,
( ~ ( aScalar0 @ xB )
| ( aScalar0 @ ( smndt0 @ xG ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1325]) ).
thf(zip_derived_cl68_042,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl2264,plain,
aScalar0 @ ( smndt0 @ xG ),
inference(demod,[status(thm)],[zip_derived_cl2263,zip_derived_cl68]) ).
thf(zip_derived_cl6194,plain,
sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xR ),
inference(demod,[status(thm)],[zip_derived_cl6187,zip_derived_cl2264]) ).
thf(zip_derived_cl6307,plain,
sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xN ),
inference(demod,[status(thm)],[zip_derived_cl2498,zip_derived_cl6194]) ).
thf(zip_derived_cl1560_043,plain,
sdtlseqdt0 @ sz0z00 @ xN,
inference(demod,[status(thm)],[zip_derived_cl1433,zip_derived_cl1427,zip_derived_cl1428]) ).
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_cl1563,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_cl1560,zip_derived_cl42]) ).
thf(zip_derived_cl88_044,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl1566,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( xN = X0 )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ X0 @ X0 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl88]) ).
thf(zip_derived_cl6380,plain,
( ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ( xN
= ( smndt0 @ xN ) )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ ( smndt0 @ xN ) @ ( smndt0 @ xN ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6307,zip_derived_cl1566]) ).
thf(zip_derived_cl13_045,plain,
! [X0: $i] :
( ( aScalar0 @ ( smndt0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mNegSc]) ).
thf(zip_derived_cl908_046,plain,
( ( sdtasdt0 @ ( smndt0 @ xR ) @ xS )
= ( smndt0 @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl893,zip_derived_cl82,zip_derived_cl86]) ).
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_cl935,plain,
( ~ ( aScalar0 @ ( smndt0 @ xR ) )
| ~ ( aScalar0 @ xS )
| ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl908,zip_derived_cl12]) ).
thf(zip_derived_cl86_048,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl948,plain,
( ~ ( aScalar0 @ ( smndt0 @ xR ) )
| ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference(demod,[status(thm)],[zip_derived_cl935,zip_derived_cl86]) ).
thf(zip_derived_cl2226,plain,
( ~ ( aScalar0 @ xR )
| ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl948]) ).
thf(zip_derived_cl82_049,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl2227,plain,
aScalar0 @ ( smndt0 @ xN ),
inference(demod,[status(thm)],[zip_derived_cl2226,zip_derived_cl82]) ).
thf(zip_derived_cl6414,plain,
( ( xN
= ( smndt0 @ xN ) )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ ( smndt0 @ xN ) @ ( smndt0 @ xN ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6380,zip_derived_cl2227]) ).
thf(zip_derived_cl6485,plain,
( ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ xN )
| ( xN
= ( smndt0 @ xN ) )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ xN @ xN ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl6414]) ).
thf(zip_derived_cl88_050,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl88_051,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl6488,plain,
( ( xN
= ( smndt0 @ xN ) )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ xN @ xN ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6485,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl6489,plain,
( xN
= ( smndt0 @ xN ) ),
inference(simplify,[status(thm)],[zip_derived_cl6488]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl6498,plain,
( ( ( sdtpldt0 @ xN @ xN )
= sz0z00 )
| ~ ( aScalar0 @ xN ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6489,zip_derived_cl18]) ).
thf(zip_derived_cl88_052,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl6506,plain,
( ( sdtpldt0 @ xN @ xN )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl6498,zip_derived_cl88]) ).
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_cl1142,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_cl1164,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_cl1142,zip_derived_cl10]) ).
thf(zip_derived_cl1165,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_cl1164]) ).
thf(zip_derived_cl6526,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_cl6506,zip_derived_cl1165]) ).
thf(zip_derived_cl88_054,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl88_055,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl1560_056,plain,
sdtlseqdt0 @ sz0z00 @ xN,
inference(demod,[status(thm)],[zip_derived_cl1433,zip_derived_cl1427,zip_derived_cl1428]) ).
thf(zip_derived_cl6535,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ X0 @ xN )
| ( sdtlseqdt0 @ X0 @ sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6526,zip_derived_cl88,zip_derived_cl88,zip_derived_cl1560]) ).
thf(zip_derived_cl6539,plain,
( ~ ( aScalar0 @ xN )
| ( sdtlseqdt0 @ xN @ sz0z00 )
| ~ ( aScalar0 @ xN ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl6535]) ).
thf(zip_derived_cl88_057,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl88_058,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl6545,plain,
sdtlseqdt0 @ xN @ sz0z00,
inference(demod,[status(thm)],[zip_derived_cl6539,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl6554,plain,
xN = sz0z00,
inference(demod,[status(thm)],[zip_derived_cl1564,zip_derived_cl6545]) ).
thf(zip_derived_cl6567,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl6554]) ).
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_cl90_064,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1343,plain,
( ( sdtlseqdt0 @ xN @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl90]) ).
thf(zip_derived_cl88_065,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl1361,plain,
( ( sdtlseqdt0 @ xN @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1343,zip_derived_cl88]) ).
thf(zip_derived_cl1373,plain,
( ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ( sdtlseqdt0 @ xN @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1361]) ).
thf(m__1911,axiom,
( ( xP
= ( sdtasdt0 @ xE @ xH ) )
& ( aScalar0 @ xP ) ) ).
thf(zip_derived_cl84,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl84_066,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl1376,plain,
sdtlseqdt0 @ xN @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl1373,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl1560_067,plain,
sdtlseqdt0 @ sz0z00 @ xN,
inference(demod,[status(thm)],[zip_derived_cl1433,zip_derived_cl1427,zip_derived_cl1428]) ).
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_cl1562,plain,
! [X0: $i] :
( ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ sz0z00 )
| ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ X0 )
| ~ ( sdtlseqdt0 @ xN @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1560,zip_derived_cl35]) ).
thf(zip_derived_cl88_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_cl1565,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ X0 )
| ~ ( sdtlseqdt0 @ xN @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1562,zip_derived_cl88,zip_derived_cl10]) ).
thf(zip_derived_cl1923,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1376,zip_derived_cl1565]) ).
thf(zip_derived_cl2059,plain,
( ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1923]) ).
thf(zip_derived_cl84_070,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl84_071,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl2062,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2059,zip_derived_cl84,zip_derived_cl84]) ).
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_cl2068,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_cl2062,zip_derived_cl42]) ).
thf(zip_derived_cl2397,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_cl2068]) ).
thf(zip_derived_cl84_073,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl84_074,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl2400,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_cl2397,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl2906,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_cl2400]) ).
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_cl2923,plain,
( ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) )
!= ( sdtasdt0 @ sz0z00 @ sz0z00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2906,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_cl446,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_cl449,plain,
( ( sz0z00
= ( smndt0 @ sz0z00 ) )
| ~ ( aScalar0 @ ( smndt0 @ sz0z00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl446,zip_derived_cl10]) ).
thf(zip_derived_cl462,plain,
( ~ ( aScalar0 @ sz0z00 )
| ( sz0z00
= ( smndt0 @ sz0z00 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl449]) ).
thf(zip_derived_cl10_081,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl463,plain,
( sz0z00
= ( smndt0 @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl462,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_cl883,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_cl463_085,plain,
( sz0z00
= ( smndt0 @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl462,zip_derived_cl10]) ).
thf(zip_derived_cl896,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ sz0z00 )
= sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl883,zip_derived_cl10,zip_derived_cl463]) ).
thf(zip_derived_cl897,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl896]) ).
thf(zip_derived_cl3122,plain,
( ( ( sdtasdt0 @ sz0z00 @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ sz0z00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl463,zip_derived_cl897]) ).
thf(zip_derived_cl10_086,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl3126,plain,
( ( sdtasdt0 @ sz0z00 @ sz0z00 )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl3122,zip_derived_cl10]) ).
thf(zip_derived_cl3148,plain,
( ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) )
!= sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl2923,zip_derived_cl3126]) ).
thf(zip_derived_cl3198,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_cl3148]) ).
thf(zip_derived_cl84_087,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl84_088,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl3205,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
!= sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl3198,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl3952,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_cl3205]) ).
thf(zip_derived_cl84_089,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl84_090,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl3955,plain,
( ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
!= sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl3952,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl83,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_cl978,plain,
( ~ ( aScalar0 @ xE )
| ~ ( aScalar0 @ xH )
| ( ( sdtasdt0 @ xE @ ( smndt0 @ xH ) )
= ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl30]) ).
thf(m__1820,axiom,
( ( xE
= ( sdtasasdt0 @ xp @ xq ) )
& ( aScalar0 @ xE ) ) ).
thf(zip_derived_cl74,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(m__1873,axiom,
( ( xH
= ( sdtasdt0 @ xA @ xB ) )
& ( aScalar0 @ xH ) ) ).
thf(zip_derived_cl80,plain,
aScalar0 @ xH,
inference(cnf,[status(esa)],[m__1873]) ).
thf(zip_derived_cl995,plain,
( ( sdtasdt0 @ xE @ ( smndt0 @ xH ) )
= ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl978,zip_derived_cl74,zip_derived_cl80]) ).
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_cl1170,plain,
( ~ ( aScalar0 @ xE )
| ~ ( aScalar0 @ ( smndt0 @ xH ) )
| ( ( sdtasdt0 @ ( smndt0 @ xE ) @ ( smndt0 @ xH ) )
= ( smndt0 @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl995,zip_derived_cl29]) ).
thf(zip_derived_cl74_093,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(zip_derived_cl1182,plain,
( ~ ( aScalar0 @ ( smndt0 @ xH ) )
| ( ( sdtasdt0 @ ( smndt0 @ xE ) @ ( smndt0 @ xH ) )
= ( smndt0 @ ( smndt0 @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1170,zip_derived_cl74]) ).
thf(zip_derived_cl13_094,plain,
! [X0: $i] :
( ( aScalar0 @ ( smndt0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mNegSc]) ).
thf(zip_derived_cl79,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_cl887,plain,
( ~ ( aScalar0 @ xA )
| ~ ( aScalar0 @ xB )
| ( ( sdtasdt0 @ ( smndt0 @ xA ) @ xB )
= ( smndt0 @ xH ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl79,zip_derived_cl29]) ).
thf(zip_derived_cl66_096,plain,
aScalar0 @ xA,
inference(cnf,[status(esa)],[m__1746]) ).
thf(zip_derived_cl68_097,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl902,plain,
( ( sdtasdt0 @ ( smndt0 @ xA ) @ xB )
= ( smndt0 @ xH ) ),
inference(demod,[status(thm)],[zip_derived_cl887,zip_derived_cl66,zip_derived_cl68]) ).
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_cl1097,plain,
( ~ ( aScalar0 @ ( smndt0 @ xA ) )
| ~ ( aScalar0 @ xB )
| ( aScalar0 @ ( smndt0 @ xH ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl902,zip_derived_cl12]) ).
thf(zip_derived_cl68_099,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl1111,plain,
( ~ ( aScalar0 @ ( smndt0 @ xA ) )
| ( aScalar0 @ ( smndt0 @ xH ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1097,zip_derived_cl68]) ).
thf(zip_derived_cl2247,plain,
( ~ ( aScalar0 @ xA )
| ( aScalar0 @ ( smndt0 @ xH ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1111]) ).
thf(zip_derived_cl66_100,plain,
aScalar0 @ xA,
inference(cnf,[status(esa)],[m__1746]) ).
thf(zip_derived_cl2248,plain,
aScalar0 @ ( smndt0 @ xH ),
inference(demod,[status(thm)],[zip_derived_cl2247,zip_derived_cl66]) ).
thf(zip_derived_cl11614,plain,
( ( sdtasdt0 @ ( smndt0 @ xE ) @ ( smndt0 @ xH ) )
= ( smndt0 @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1182,zip_derived_cl2248]) ).
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_cl11630,plain,
( ~ ( aScalar0 @ xE )
| ~ ( aScalar0 @ xH )
| ( ( smndt0 @ ( smndt0 @ xP ) )
= ( sdtasdt0 @ xE @ xH ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11614,zip_derived_cl31]) ).
thf(zip_derived_cl74_102,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(zip_derived_cl80_103,plain,
aScalar0 @ xH,
inference(cnf,[status(esa)],[m__1873]) ).
thf(zip_derived_cl83_104,plain,
( xP
= ( sdtasdt0 @ xE @ xH ) ),
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl11646,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11630,zip_derived_cl74,zip_derived_cl80,zip_derived_cl83]) ).
thf(zip_derived_cl11646_105,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11630,zip_derived_cl74,zip_derived_cl80,zip_derived_cl83]) ).
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_cl11659,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ xP )
= ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11646,zip_derived_cl31]) ).
thf(zip_derived_cl13_107,plain,
! [X0: $i] :
( ( aScalar0 @ ( smndt0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mNegSc]) ).
thf(zip_derived_cl83_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_cl891,plain,
( ~ ( aScalar0 @ xE )
| ~ ( aScalar0 @ xH )
| ( ( sdtasdt0 @ ( smndt0 @ xE ) @ xH )
= ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl29]) ).
thf(zip_derived_cl74_110,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(zip_derived_cl80_111,plain,
aScalar0 @ xH,
inference(cnf,[status(esa)],[m__1873]) ).
thf(zip_derived_cl906,plain,
( ( sdtasdt0 @ ( smndt0 @ xE ) @ xH )
= ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl891,zip_derived_cl74,zip_derived_cl80]) ).
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_cl909,plain,
( ~ ( aScalar0 @ ( smndt0 @ xE ) )
| ~ ( aScalar0 @ xH )
| ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl906,zip_derived_cl12]) ).
thf(zip_derived_cl80_113,plain,
aScalar0 @ xH,
inference(cnf,[status(esa)],[m__1873]) ).
thf(zip_derived_cl922,plain,
( ~ ( aScalar0 @ ( smndt0 @ xE ) )
| ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl909,zip_derived_cl80]) ).
thf(zip_derived_cl2224,plain,
( ~ ( aScalar0 @ xE )
| ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl922]) ).
thf(zip_derived_cl74_114,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(zip_derived_cl2225,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2224,zip_derived_cl74]) ).
thf(zip_derived_cl11669,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ xP )
= ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11659,zip_derived_cl2225]) ).
thf(zip_derived_cl21739,plain,
( ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ( ( sdtasdt0 @ xP @ xP )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11646,zip_derived_cl11669]) ).
thf(zip_derived_cl2225_115,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2224,zip_derived_cl74]) ).
thf(zip_derived_cl21744,plain,
( ( sdtasdt0 @ xP @ xP )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21739,zip_derived_cl2225]) ).
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_cl21770,plain,
( ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ( ( sdtasdt0 @ ( smndt0 @ ( smndt0 @ xP ) ) @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21744,zip_derived_cl29]) ).
thf(zip_derived_cl2225_117,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2224,zip_derived_cl74]) ).
thf(zip_derived_cl2225_118,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2224,zip_derived_cl74]) ).
thf(zip_derived_cl11646_119,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11630,zip_derived_cl74,zip_derived_cl80,zip_derived_cl83]) ).
thf(zip_derived_cl21802,plain,
( ( sdtasdt0 @ xP @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21770,zip_derived_cl2225,zip_derived_cl2225,zip_derived_cl11646]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( ( smndt0 @ ( smndt0 @ X0 ) )
= X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl21843,plain,
( ( ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21802,zip_derived_cl20]) ).
thf(zip_derived_cl11646_120,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11630,zip_derived_cl74,zip_derived_cl80,zip_derived_cl83]) ).
thf(zip_derived_cl11646_121,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11630,zip_derived_cl74,zip_derived_cl80,zip_derived_cl83]) ).
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_cl11654,plain,
! [X0: $i] :
( ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11646,zip_derived_cl31]) ).
thf(zip_derived_cl2225_123,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2224,zip_derived_cl74]) ).
thf(zip_derived_cl11664,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11654,zip_derived_cl2225]) ).
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_cl21168,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ~ ( aScalar0 @ X0 )
| ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11664,zip_derived_cl12]) ).
thf(zip_derived_cl2225_125,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2224,zip_derived_cl74]) ).
thf(zip_derived_cl21216,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X0 )
| ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21168,zip_derived_cl2225]) ).
thf(zip_derived_cl21217,plain,
! [X0: $i] :
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21216]) ).
thf(zip_derived_cl21392,plain,
( ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11646,zip_derived_cl21217]) ).
thf(zip_derived_cl2225_126,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2224,zip_derived_cl74]) ).
thf(zip_derived_cl21397,plain,
aScalar0 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl21392,zip_derived_cl2225]) ).
thf(zip_derived_cl21860,plain,
( ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21843,zip_derived_cl21397]) ).
thf(zip_derived_cl11669_127,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ xP )
= ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11659,zip_derived_cl2225]) ).
thf(zip_derived_cl21930,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_cl21860,zip_derived_cl11669]) ).
thf(zip_derived_cl11664_128,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11654,zip_derived_cl2225]) ).
thf(zip_derived_cl572_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_cl21172,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_cl11664,zip_derived_cl572]) ).
thf(zip_derived_cl2225_130,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2224,zip_derived_cl74]) ).
thf(zip_derived_cl21224,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) )
= ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl21172,zip_derived_cl2225]) ).
thf(zip_derived_cl21225,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) )
= ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21224]) ).
thf(zip_derived_cl21217_131,plain,
! [X0: $i] :
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21216]) ).
thf(zip_derived_cl21481,plain,
( ~ ( aScalar0 @ xP )
| ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
| ~ ( aScalar0 @ xP ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21225,zip_derived_cl21217]) ).
thf(zip_derived_cl84_132,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl84_133,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl21565,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21481,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl21948,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21930,zip_derived_cl21565]) ).
thf(zip_derived_cl21225_134,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) )
= ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21224]) ).
thf(zip_derived_cl22315,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_cl21948,zip_derived_cl21225]) ).
thf(zip_derived_cl21860_135,plain,
( ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21843,zip_derived_cl21397]) ).
thf(zip_derived_cl21565_136,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21481,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl22345,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP )
= ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22315,zip_derived_cl21860,zip_derived_cl21565]) ).
thf(zip_derived_cl572_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_cl2062_140,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2059,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl1283_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_cl1282]) ).
thf(zip_derived_cl3499,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_cl2062,zip_derived_cl1283]) ).
thf(zip_derived_cl9607,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_cl3499]) ).
thf(zip_derived_cl84_142,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl84_143,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl9610,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_cl9607,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl39682,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_cl9610]) ).
thf(zip_derived_cl39791,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl39682]) ).
thf(zip_derived_cl40958,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_cl572,zip_derived_cl39791]) ).
thf(zip_derived_cl21397_144,plain,
aScalar0 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl21392,zip_derived_cl2225]) ).
thf(zip_derived_cl40967,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl40958,zip_derived_cl21397]) ).
thf(zip_derived_cl40968,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl40967]) ).
thf(zip_derived_cl41118,plain,
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ xP ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22345,zip_derived_cl40968]) ).
thf(zip_derived_cl84_145,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl41131,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl41118,zip_derived_cl84]) ).
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_cl41149,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_cl41131,zip_derived_cl34]) ).
thf(zip_derived_cl21860_147,plain,
( ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21843,zip_derived_cl21397]) ).
thf(zip_derived_cl21217_148,plain,
! [X0: $i] :
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21216]) ).
thf(zip_derived_cl21931,plain,
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21860,zip_derived_cl21217]) ).
thf(zip_derived_cl21565_149,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21481,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl21949,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21931,zip_derived_cl21565]) ).
thf(zip_derived_cl10_150,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl41224,plain,
( ( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) )
= sz0z00 )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl41149,zip_derived_cl21949,zip_derived_cl10]) ).
thf(zip_derived_cl33_151,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mLERef]) ).
thf(zip_derived_cl21948_152,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21930,zip_derived_cl21565]) ).
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_cl22293,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_cl21948,zip_derived_cl29]) ).
thf(zip_derived_cl21565_154,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21481,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl2225_155,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2224,zip_derived_cl74]) ).
thf(zip_derived_cl21860_156,plain,
( ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21843,zip_derived_cl21397]) ).
thf(zip_derived_cl21802_157,plain,
( ( sdtasdt0 @ xP @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21770,zip_derived_cl2225,zip_derived_cl2225,zip_derived_cl11646]) ).
thf(zip_derived_cl11669_158,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ xP )
= ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11659,zip_derived_cl2225]) ).
thf(zip_derived_cl21849,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) @ xP )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21802,zip_derived_cl11669]) ).
thf(zip_derived_cl21397_159,plain,
aScalar0 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl21392,zip_derived_cl2225]) ).
thf(zip_derived_cl21866,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) @ xP )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21849,zip_derived_cl21397]) ).
thf(zip_derived_cl572_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_cl22115,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_cl21866,zip_derived_cl572]) ).
thf(zip_derived_cl84_161,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl21565_162,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21481,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl22143,plain,
( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22115,zip_derived_cl84,zip_derived_cl21565]) ).
thf(zip_derived_cl22323,plain,
( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( smndt0 @ ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22293,zip_derived_cl21565,zip_derived_cl2225,zip_derived_cl21860,zip_derived_cl22143]) ).
thf(zip_derived_cl22345_163,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP )
= ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22315,zip_derived_cl21860,zip_derived_cl21565]) ).
thf(zip_derived_cl22423,plain,
( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22323,zip_derived_cl22345]) ).
thf(zip_derived_cl18_164,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl22425,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_cl22423,zip_derived_cl18]) ).
thf(zip_derived_cl21949_165,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21931,zip_derived_cl21565]) ).
thf(zip_derived_cl22443,plain,
( ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl22425,zip_derived_cl21949]) ).
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_cl1140,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_cl1161,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_cl1140,zip_derived_cl10]) ).
thf(zip_derived_cl1162,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_cl1161]) ).
thf(zip_derived_cl124245,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_cl22443,zip_derived_cl1162]) ).
thf(zip_derived_cl11664_168,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11654,zip_derived_cl2225]) ).
thf(zip_derived_cl39791_169,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl39682]) ).
thf(zip_derived_cl40963,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ) )
| ~ ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11664,zip_derived_cl39791]) ).
thf(zip_derived_cl21397_170,plain,
aScalar0 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl21392,zip_derived_cl2225]) ).
thf(zip_derived_cl21802_171,plain,
( ( sdtasdt0 @ xP @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21770,zip_derived_cl2225,zip_derived_cl2225,zip_derived_cl11646]) ).
thf(zip_derived_cl2225_172,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2224,zip_derived_cl74]) ).
thf(zip_derived_cl40974,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl40963,zip_derived_cl21397,zip_derived_cl21802,zip_derived_cl2225]) ).
thf(zip_derived_cl21802_173,plain,
( ( sdtasdt0 @ xP @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21770,zip_derived_cl2225,zip_derived_cl2225,zip_derived_cl11646]) ).
thf(zip_derived_cl21217_174,plain,
! [X0: $i] :
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21216]) ).
thf(zip_derived_cl21850,plain,
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21802,zip_derived_cl21217]) ).
thf(zip_derived_cl21397_175,plain,
aScalar0 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl21392,zip_derived_cl2225]) ).
thf(zip_derived_cl21867,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21850,zip_derived_cl21397]) ).
thf(zip_derived_cl21949_176,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21931,zip_derived_cl21565]) ).
thf(zip_derived_cl124280,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ sz0z00 )
| ~ ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl124245,zip_derived_cl40974,zip_derived_cl21867,zip_derived_cl21949]) ).
thf(zip_derived_cl125013,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_cl124280]) ).
thf(zip_derived_cl21949_177,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21931,zip_derived_cl21565]) ).
thf(zip_derived_cl21949_178,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21931,zip_derived_cl21565]) ).
thf(zip_derived_cl125073,plain,
sdtlseqdt0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) @ sz0z00,
inference(demod,[status(thm)],[zip_derived_cl125013,zip_derived_cl21949,zip_derived_cl21949]) ).
thf(zip_derived_cl125295,plain,
( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl41224,zip_derived_cl125073]) ).
thf(zip_derived_cl11646_179,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11630,zip_derived_cl74,zip_derived_cl80,zip_derived_cl83]) ).
thf(zip_derived_cl897_180,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl896]) ).
thf(zip_derived_cl11655,plain,
( ( ( sdtasdt0 @ xP @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11646,zip_derived_cl897]) ).
thf(zip_derived_cl2225_181,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2224,zip_derived_cl74]) ).
thf(zip_derived_cl11665,plain,
( ( sdtasdt0 @ xP @ sz0z00 )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl11655,zip_derived_cl2225]) ).
thf(zip_derived_cl125349,plain,
( ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( sz0z00 != sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl3955,zip_derived_cl125295,zip_derived_cl11665]) ).
thf(zip_derived_cl125350,plain,
( ( sdtasdt0 @ xP @ xP )
= sz0z00 ),
inference(simplify,[status(thm)],[zip_derived_cl125349]) ).
thf(zip_derived_cl501_182,plain,
sdtlseqdt0 @ sz0z00 @ sz0z00,
inference(demod,[status(thm)],[zip_derived_cl497,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl128720,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6567,zip_derived_cl125350,zip_derived_cl501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : RNG054+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.B2vq1bavRE true
% 0.14/0.35 % Computer : n031.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 : Sun Aug 27 03:17:08 EDT 2023
% 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
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.88/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.88/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.88/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 155.11/22.75 % Solved by fo/fo6_bce.sh.
% 155.11/22.75 % BCE start: 91
% 155.11/22.75 % BCE eliminated: 0
% 155.11/22.75 % PE start: 91
% 155.11/22.75 logic: eq
% 155.11/22.75 % PE eliminated: 1
% 155.11/22.75 % done 7411 iterations in 22.007s
% 155.11/22.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 155.11/22.75 % SZS output start Refutation
% See solution above
% 155.11/22.75
% 155.11/22.75
% 155.11/22.75 % Terminating...
% 155.30/22.84 % Runner terminated.
% 155.30/22.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------