TSTP Solution File: RNG057+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG057+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vpYs4rPzgN true
% Computer : n005.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 14:06:34 EDT 2023
% Result : Theorem 145.70s 21.40s
% Output : Refutation 145.90s
% 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_cl92,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_cl1411,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_cl1435,plain,
( ~ ( sdtlseqdt0 @ sz0z00 @ xR )
| ( sdtlseqdt0 @ sz0z00 @ xN )
| ~ ( sdtlseqdt0 @ sz0z00 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl1411,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_cl1405,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_cl570,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_cl572,plain,
sdtlseqdt0 @ sz0z00 @ xC,
inference(demod,[status(thm)],[zip_derived_cl570,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_cl502,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_cl506,plain,
sdtlseqdt0 @ sz0z00 @ xG,
inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl68]) ).
thf(zip_derived_cl1429,plain,
sdtlseqdt0 @ sz0z00 @ xR,
inference(demod,[status(thm)],[zip_derived_cl1405,zip_derived_cl572,zip_derived_cl70,zip_derived_cl78,zip_derived_cl506]) ).
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_cl574,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_cl583,plain,
( ~ ( aScalar0 @ xF )
| ~ ( aScalar0 @ xD )
| ( xS
= ( sdtasdt0 @ xD @ xF ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl574,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_cl605,plain,
( xS
= ( sdtasdt0 @ xD @ xF ) ),
inference(demod,[status(thm)],[zip_derived_cl583,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_cl1406,plain,
( ~ ( sdtlseqdt0 @ sz0z00 @ xD )
| ~ ( aScalar0 @ xD )
| ~ ( aScalar0 @ xF )
| ( sdtlseqdt0 @ sz0z00 @ xS )
| ~ ( sdtlseqdt0 @ sz0z00 @ xF ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl605,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_cl571,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_cl573,plain,
sdtlseqdt0 @ sz0z00 @ xD,
inference(demod,[status(thm)],[zip_derived_cl571,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_cl501,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_cl505,plain,
sdtlseqdt0 @ sz0z00 @ xF,
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl66]) ).
thf(zip_derived_cl1430,plain,
sdtlseqdt0 @ sz0z00 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1406,zip_derived_cl573,zip_derived_cl72,zip_derived_cl76,zip_derived_cl505]) ).
thf(zip_derived_cl1646,plain,
sdtlseqdt0 @ sz0z00 @ xN,
inference(demod,[status(thm)],[zip_derived_cl1435,zip_derived_cl1429,zip_derived_cl1430]) ).
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_cl1647,plain,
( ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ sz0z00 )
| ( xN = sz0z00 )
| ~ ( sdtlseqdt0 @ xN @ sz0z00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1646,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_cl1650,plain,
( ( xN = sz0z00 )
| ~ ( sdtlseqdt0 @ xN @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl1647,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_cl895,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_cl910,plain,
( ( sdtasdt0 @ ( smndt0 @ xR ) @ xS )
= ( smndt0 @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl895,zip_derived_cl82,zip_derived_cl86]) ).
thf(zip_derived_cl574_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_cl939,plain,
( ( ( sdtasdt0 @ xS @ ( smndt0 @ xR ) )
= ( smndt0 @ xN ) )
| ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ ( smndt0 @ xR ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl910,zip_derived_cl574]) ).
thf(zip_derived_cl86_011,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl952,plain,
( ( ( sdtasdt0 @ xS @ ( smndt0 @ xR ) )
= ( smndt0 @ xN ) )
| ~ ( aScalar0 @ ( smndt0 @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl939,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_cl891,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_cl906,plain,
( ( sdtasdt0 @ ( smndt0 @ xC ) @ xG )
= ( smndt0 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl891,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_cl1741,plain,
( ~ ( aScalar0 @ ( smndt0 @ xC ) )
| ~ ( aScalar0 @ xG )
| ( aScalar0 @ ( smndt0 @ xR ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl906,zip_derived_cl12]) ).
thf(zip_derived_cl78_016,plain,
aScalar0 @ xG,
inference(cnf,[status(esa)],[m__1854]) ).
thf(zip_derived_cl1758,plain,
( ~ ( aScalar0 @ ( smndt0 @ xC ) )
| ( aScalar0 @ ( smndt0 @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1741,zip_derived_cl78]) ).
thf(zip_derived_cl2336,plain,
( ~ ( aScalar0 @ xC )
| ( aScalar0 @ ( smndt0 @ xR ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1758]) ).
thf(zip_derived_cl70_017,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl2337,plain,
aScalar0 @ ( smndt0 @ xR ),
inference(demod,[status(thm)],[zip_derived_cl2336,zip_derived_cl70]) ).
thf(zip_derived_cl2773,plain,
( ( sdtasdt0 @ xS @ ( smndt0 @ xR ) )
= ( smndt0 @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl952,zip_derived_cl2337]) ).
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_cl2777,plain,
( ~ ( sdtlseqdt0 @ sz0z00 @ xS )
| ~ ( aScalar0 @ xS )
| ~ ( aScalar0 @ ( smndt0 @ xR ) )
| ( sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xN ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xR ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2773,zip_derived_cl39]) ).
thf(zip_derived_cl1430_019,plain,
sdtlseqdt0 @ sz0z00 @ xS,
inference(demod,[status(thm)],[zip_derived_cl1406,zip_derived_cl573,zip_derived_cl72,zip_derived_cl76,zip_derived_cl505]) ).
thf(zip_derived_cl86_020,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl2337_021,plain,
aScalar0 @ ( smndt0 @ xR ),
inference(demod,[status(thm)],[zip_derived_cl2336,zip_derived_cl70]) ).
thf(zip_derived_cl2792,plain,
( ( sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xN ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xR ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2777,zip_derived_cl1430,zip_derived_cl86,zip_derived_cl2337]) ).
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_cl978,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_cl995,plain,
( ( sdtasdt0 @ xC @ ( smndt0 @ xG ) )
= ( smndt0 @ xR ) ),
inference(demod,[status(thm)],[zip_derived_cl978,zip_derived_cl70,zip_derived_cl78]) ).
thf(zip_derived_cl574_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_cl572_027,plain,
sdtlseqdt0 @ sz0z00 @ xC,
inference(demod,[status(thm)],[zip_derived_cl570,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_cl1243,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_cl499,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_cl503,plain,
sdtlseqdt0 @ sz0z00 @ sz0z00,
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl10_032,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl1284,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_cl1243,zip_derived_cl503,zip_derived_cl10]) ).
thf(zip_derived_cl1285,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_cl1284]) ).
thf(zip_derived_cl3393,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_cl572,zip_derived_cl1285]) ).
thf(zip_derived_cl70_033,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl3409,plain,
! [X0: $i,X1: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ xC ) )
| ~ ( aScalar0 @ X0 )
| ~ ( sdtlseqdt0 @ X1 @ X0 )
| ~ ( aScalar0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3393,zip_derived_cl70]) ).
thf(zip_derived_cl5242,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ xC ) )
| ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl3409]) ).
thf(zip_derived_cl5288,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ xC ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5242]) ).
thf(zip_derived_cl6097,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ xC )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xC @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl574,zip_derived_cl5288]) ).
thf(zip_derived_cl70_034,plain,
aScalar0 @ xC,
inference(cnf,[status(esa)],[m__1783]) ).
thf(zip_derived_cl6101,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xC @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6097,zip_derived_cl70]) ).
thf(zip_derived_cl6102,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xC @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6101]) ).
thf(zip_derived_cl6291,plain,
( ( sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xR ) )
| ~ ( aScalar0 @ ( smndt0 @ xG ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl995,zip_derived_cl6102]) ).
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_cl890,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_cl905,plain,
( ( sdtasdt0 @ ( smndt0 @ xB ) @ xB )
= ( smndt0 @ xG ) ),
inference(demod,[status(thm)],[zip_derived_cl890,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_cl1311,plain,
( ~ ( aScalar0 @ ( smndt0 @ xB ) )
| ~ ( aScalar0 @ xB )
| ( aScalar0 @ ( smndt0 @ xG ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl905,zip_derived_cl12]) ).
thf(zip_derived_cl68_041,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl1327,plain,
( ~ ( aScalar0 @ ( smndt0 @ xB ) )
| ( aScalar0 @ ( smndt0 @ xG ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1311,zip_derived_cl68]) ).
thf(zip_derived_cl2312,plain,
( ~ ( aScalar0 @ xB )
| ( aScalar0 @ ( smndt0 @ xG ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1327]) ).
thf(zip_derived_cl68_042,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl2313,plain,
aScalar0 @ ( smndt0 @ xG ),
inference(demod,[status(thm)],[zip_derived_cl2312,zip_derived_cl68]) ).
thf(zip_derived_cl6298,plain,
sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xR ),
inference(demod,[status(thm)],[zip_derived_cl6291,zip_derived_cl2313]) ).
thf(zip_derived_cl6386,plain,
sdtlseqdt0 @ sz0z00 @ ( smndt0 @ xN ),
inference(demod,[status(thm)],[zip_derived_cl2792,zip_derived_cl6298]) ).
thf(zip_derived_cl1646_043,plain,
sdtlseqdt0 @ sz0z00 @ xN,
inference(demod,[status(thm)],[zip_derived_cl1435,zip_derived_cl1429,zip_derived_cl1430]) ).
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_cl1649,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_cl1646,zip_derived_cl42]) ).
thf(zip_derived_cl88_044,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl1652,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( xN = X0 )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ X0 @ X0 ) )
| ~ ( sdtlseqdt0 @ sz0z00 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1649,zip_derived_cl88]) ).
thf(zip_derived_cl6459,plain,
( ~ ( aScalar0 @ ( smndt0 @ xN ) )
| ( xN
= ( smndt0 @ xN ) )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ ( smndt0 @ xN ) @ ( smndt0 @ xN ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6386,zip_derived_cl1652]) ).
thf(zip_derived_cl13_045,plain,
! [X0: $i] :
( ( aScalar0 @ ( smndt0 @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mNegSc]) ).
thf(zip_derived_cl910_046,plain,
( ( sdtasdt0 @ ( smndt0 @ xR ) @ xS )
= ( smndt0 @ xN ) ),
inference(demod,[status(thm)],[zip_derived_cl895,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_cl937,plain,
( ~ ( aScalar0 @ ( smndt0 @ xR ) )
| ~ ( aScalar0 @ xS )
| ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl910,zip_derived_cl12]) ).
thf(zip_derived_cl86_048,plain,
aScalar0 @ xS,
inference(cnf,[status(esa)],[m__1930]) ).
thf(zip_derived_cl950,plain,
( ~ ( aScalar0 @ ( smndt0 @ xR ) )
| ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference(demod,[status(thm)],[zip_derived_cl937,zip_derived_cl86]) ).
thf(zip_derived_cl2279,plain,
( ~ ( aScalar0 @ xR )
| ( aScalar0 @ ( smndt0 @ xN ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl950]) ).
thf(zip_derived_cl82_049,plain,
aScalar0 @ xR,
inference(cnf,[status(esa)],[m__1892]) ).
thf(zip_derived_cl2280,plain,
aScalar0 @ ( smndt0 @ xN ),
inference(demod,[status(thm)],[zip_derived_cl2279,zip_derived_cl82]) ).
thf(zip_derived_cl6493,plain,
( ( xN
= ( smndt0 @ xN ) )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ ( smndt0 @ xN ) @ ( smndt0 @ xN ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6459,zip_derived_cl2280]) ).
thf(zip_derived_cl6526,plain,
( ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ xN )
| ( xN
= ( smndt0 @ xN ) )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ xN @ xN ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl6493]) ).
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_cl6529,plain,
( ( xN
= ( smndt0 @ xN ) )
| ( ( sdtasdt0 @ xN @ xN )
!= ( sdtasdt0 @ xN @ xN ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6526,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl6530,plain,
( xN
= ( smndt0 @ xN ) ),
inference(simplify,[status(thm)],[zip_derived_cl6529]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl6539,plain,
( ( ( sdtpldt0 @ xN @ xN )
= sz0z00 )
| ~ ( aScalar0 @ xN ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6530,zip_derived_cl18]) ).
thf(zip_derived_cl88_052,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl6547,plain,
( ( sdtpldt0 @ xN @ xN )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl6539,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_cl1144,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_cl1166,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_cl1144,zip_derived_cl10]) ).
thf(zip_derived_cl1167,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_cl1166]) ).
thf(zip_derived_cl6565,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_cl6547,zip_derived_cl1167]) ).
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_cl1646_056,plain,
sdtlseqdt0 @ sz0z00 @ xN,
inference(demod,[status(thm)],[zip_derived_cl1435,zip_derived_cl1429,zip_derived_cl1430]) ).
thf(zip_derived_cl6574,plain,
! [X0: $i] :
( ~ ( sdtlseqdt0 @ X0 @ xN )
| ( sdtlseqdt0 @ X0 @ sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl6565,zip_derived_cl88,zip_derived_cl88,zip_derived_cl1646]) ).
thf(zip_derived_cl6579,plain,
( ~ ( aScalar0 @ xN )
| ( sdtlseqdt0 @ xN @ sz0z00 )
| ~ ( aScalar0 @ xN ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl6574]) ).
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_cl6585,plain,
sdtlseqdt0 @ xN @ sz0z00,
inference(demod,[status(thm)],[zip_derived_cl6579,zip_derived_cl88,zip_derived_cl88]) ).
thf(zip_derived_cl6594,plain,
xN = sz0z00,
inference(demod,[status(thm)],[zip_derived_cl1650,zip_derived_cl6585]) ).
thf(zip_derived_cl6608,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl6594]) ).
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_cl92_064,plain,
~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ xP ) @ xN ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1345,plain,
( ( sdtlseqdt0 @ xN @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl92]) ).
thf(zip_derived_cl88_065,plain,
aScalar0 @ xN,
inference(cnf,[status(esa)],[m__1949]) ).
thf(zip_derived_cl1363,plain,
( ( sdtlseqdt0 @ xN @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1345,zip_derived_cl88]) ).
thf(zip_derived_cl1375,plain,
( ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ( sdtlseqdt0 @ xN @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1363]) ).
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_cl1378,plain,
sdtlseqdt0 @ xN @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl1375,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl1646_067,plain,
sdtlseqdt0 @ sz0z00 @ xN,
inference(demod,[status(thm)],[zip_derived_cl1435,zip_derived_cl1429,zip_derived_cl1430]) ).
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_cl1648,plain,
! [X0: $i] :
( ~ ( aScalar0 @ xN )
| ~ ( aScalar0 @ sz0z00 )
| ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ X0 )
| ~ ( sdtlseqdt0 @ xN @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1646,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_cl1651,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ X0 )
| ~ ( sdtlseqdt0 @ xN @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1648,zip_derived_cl88,zip_derived_cl10]) ).
thf(zip_derived_cl2012,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1378,zip_derived_cl1651]) ).
thf(zip_derived_cl2106,plain,
( ~ ( aScalar0 @ xP )
| ~ ( aScalar0 @ xP )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl2012]) ).
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_cl2109,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2106,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_cl2114,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_cl2109,zip_derived_cl42]) ).
thf(zip_derived_cl2437,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_cl2114]) ).
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_cl2440,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_cl2437,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl2963,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_cl2440]) ).
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_cl2980,plain,
( ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) )
!= ( sdtasdt0 @ sz0z00 @ sz0z00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2963,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_cl448,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_cl451,plain,
( ( sz0z00
= ( smndt0 @ sz0z00 ) )
| ~ ( aScalar0 @ ( smndt0 @ sz0z00 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl10]) ).
thf(zip_derived_cl464,plain,
( ~ ( aScalar0 @ sz0z00 )
| ( sz0z00
= ( smndt0 @ sz0z00 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl451]) ).
thf(zip_derived_cl10_081,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl465,plain,
( sz0z00
= ( smndt0 @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl464,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_cl885,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_cl465_085,plain,
( sz0z00
= ( smndt0 @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl464,zip_derived_cl10]) ).
thf(zip_derived_cl898,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ sz0z00 )
= sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl885,zip_derived_cl10,zip_derived_cl465]) ).
thf(zip_derived_cl899,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl898]) ).
thf(zip_derived_cl3043,plain,
( ( ( sdtasdt0 @ sz0z00 @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ sz0z00 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl465,zip_derived_cl899]) ).
thf(zip_derived_cl10_086,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl3047,plain,
( ( sdtasdt0 @ sz0z00 @ sz0z00 )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl3043,zip_derived_cl10]) ).
thf(zip_derived_cl3069,plain,
( ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( sdtasdt0 @ xP @ xP ) )
!= sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl2980,zip_derived_cl3047]) ).
thf(zip_derived_cl3119,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_cl3069]) ).
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_cl3126,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
!= sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl3119,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl3966,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_cl3126]) ).
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_cl3969,plain,
( ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
!= sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl3966,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_cl980,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_cl997,plain,
( ( sdtasdt0 @ xE @ ( smndt0 @ xH ) )
= ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl980,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_cl1172,plain,
( ~ ( aScalar0 @ xE )
| ~ ( aScalar0 @ ( smndt0 @ xH ) )
| ( ( sdtasdt0 @ ( smndt0 @ xE ) @ ( smndt0 @ xH ) )
= ( smndt0 @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl997,zip_derived_cl29]) ).
thf(zip_derived_cl74_093,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(zip_derived_cl1184,plain,
( ~ ( aScalar0 @ ( smndt0 @ xH ) )
| ( ( sdtasdt0 @ ( smndt0 @ xE ) @ ( smndt0 @ xH ) )
= ( smndt0 @ ( smndt0 @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1172,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_cl889,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_cl904,plain,
( ( sdtasdt0 @ ( smndt0 @ xA ) @ xB )
= ( smndt0 @ xH ) ),
inference(demod,[status(thm)],[zip_derived_cl889,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_cl1099,plain,
( ~ ( aScalar0 @ ( smndt0 @ xA ) )
| ~ ( aScalar0 @ xB )
| ( aScalar0 @ ( smndt0 @ xH ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl904,zip_derived_cl12]) ).
thf(zip_derived_cl68_099,plain,
aScalar0 @ xB,
inference(cnf,[status(esa)],[m__1766]) ).
thf(zip_derived_cl1113,plain,
( ~ ( aScalar0 @ ( smndt0 @ xA ) )
| ( aScalar0 @ ( smndt0 @ xH ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1099,zip_derived_cl68]) ).
thf(zip_derived_cl2295,plain,
( ~ ( aScalar0 @ xA )
| ( aScalar0 @ ( smndt0 @ xH ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1113]) ).
thf(zip_derived_cl66_100,plain,
aScalar0 @ xA,
inference(cnf,[status(esa)],[m__1746]) ).
thf(zip_derived_cl2296,plain,
aScalar0 @ ( smndt0 @ xH ),
inference(demod,[status(thm)],[zip_derived_cl2295,zip_derived_cl66]) ).
thf(zip_derived_cl11942,plain,
( ( sdtasdt0 @ ( smndt0 @ xE ) @ ( smndt0 @ xH ) )
= ( smndt0 @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1184,zip_derived_cl2296]) ).
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_cl11958,plain,
( ~ ( aScalar0 @ xE )
| ~ ( aScalar0 @ xH )
| ( ( smndt0 @ ( smndt0 @ xP ) )
= ( sdtasdt0 @ xE @ xH ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11942,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_cl11974,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11958,zip_derived_cl74,zip_derived_cl80,zip_derived_cl83]) ).
thf(zip_derived_cl11974_105,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11958,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_cl11987,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ xP )
= ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11974,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_cl893,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_cl908,plain,
( ( sdtasdt0 @ ( smndt0 @ xE ) @ xH )
= ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl893,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_cl911,plain,
( ~ ( aScalar0 @ ( smndt0 @ xE ) )
| ~ ( aScalar0 @ xH )
| ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl908,zip_derived_cl12]) ).
thf(zip_derived_cl80_113,plain,
aScalar0 @ xH,
inference(cnf,[status(esa)],[m__1873]) ).
thf(zip_derived_cl924,plain,
( ~ ( aScalar0 @ ( smndt0 @ xE ) )
| ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl911,zip_derived_cl80]) ).
thf(zip_derived_cl2241,plain,
( ~ ( aScalar0 @ xE )
| ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl924]) ).
thf(zip_derived_cl74_114,plain,
aScalar0 @ xE,
inference(cnf,[status(esa)],[m__1820]) ).
thf(zip_derived_cl2242,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl74]) ).
thf(zip_derived_cl11997,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ xP )
= ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11987,zip_derived_cl2242]) ).
thf(zip_derived_cl22023,plain,
( ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ( ( sdtasdt0 @ xP @ xP )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11974,zip_derived_cl11997]) ).
thf(zip_derived_cl2242_115,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl74]) ).
thf(zip_derived_cl22028,plain,
( ( sdtasdt0 @ xP @ xP )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22023,zip_derived_cl2242]) ).
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_cl22054,plain,
( ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ( ( sdtasdt0 @ ( smndt0 @ ( smndt0 @ xP ) ) @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22028,zip_derived_cl29]) ).
thf(zip_derived_cl2242_117,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl74]) ).
thf(zip_derived_cl2242_118,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl74]) ).
thf(zip_derived_cl11974_119,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11958,zip_derived_cl74,zip_derived_cl80,zip_derived_cl83]) ).
thf(zip_derived_cl22086,plain,
( ( sdtasdt0 @ xP @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22054,zip_derived_cl2242,zip_derived_cl2242,zip_derived_cl11974]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( ( smndt0 @ ( smndt0 @ X0 ) )
= X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl22126,plain,
( ( ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22086,zip_derived_cl20]) ).
thf(zip_derived_cl11974_120,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11958,zip_derived_cl74,zip_derived_cl80,zip_derived_cl83]) ).
thf(zip_derived_cl11974_121,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11958,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_cl11982,plain,
! [X0: $i] :
( ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11974,zip_derived_cl31]) ).
thf(zip_derived_cl2242_123,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl74]) ).
thf(zip_derived_cl11992,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11982,zip_derived_cl2242]) ).
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_cl21458,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ ( smndt0 @ xP ) )
| ~ ( aScalar0 @ X0 )
| ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11992,zip_derived_cl12]) ).
thf(zip_derived_cl2242_125,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl74]) ).
thf(zip_derived_cl21506,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ~ ( aScalar0 @ X0 )
| ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21458,zip_derived_cl2242]) ).
thf(zip_derived_cl21507,plain,
! [X0: $i] :
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21506]) ).
thf(zip_derived_cl21681,plain,
( ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ~ ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11974,zip_derived_cl21507]) ).
thf(zip_derived_cl2242_126,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl74]) ).
thf(zip_derived_cl21686,plain,
aScalar0 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl21681,zip_derived_cl2242]) ).
thf(zip_derived_cl22143,plain,
( ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22126,zip_derived_cl21686]) ).
thf(zip_derived_cl11997_127,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ xP )
= ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11987,zip_derived_cl2242]) ).
thf(zip_derived_cl22210,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_cl22143,zip_derived_cl11997]) ).
thf(zip_derived_cl11992_128,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11982,zip_derived_cl2242]) ).
thf(zip_derived_cl574_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_cl21462,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_cl11992,zip_derived_cl574]) ).
thf(zip_derived_cl2242_130,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl74]) ).
thf(zip_derived_cl21514,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) )
= ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl21462,zip_derived_cl2242]) ).
thf(zip_derived_cl21515,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) )
= ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21514]) ).
thf(zip_derived_cl21507_131,plain,
! [X0: $i] :
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21506]) ).
thf(zip_derived_cl21768,plain,
( ~ ( aScalar0 @ xP )
| ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
| ~ ( aScalar0 @ xP ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21515,zip_derived_cl21507]) ).
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_cl21852,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21768,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl22228,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22210,zip_derived_cl21852]) ).
thf(zip_derived_cl21515_134,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) )
= ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21514]) ).
thf(zip_derived_cl22595,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_cl22228,zip_derived_cl21515]) ).
thf(zip_derived_cl22143_135,plain,
( ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22126,zip_derived_cl21686]) ).
thf(zip_derived_cl21852_136,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21768,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl22625,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP )
= ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22595,zip_derived_cl22143,zip_derived_cl21852]) ).
thf(zip_derived_cl574_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_cl2109_140,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2106,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl1285_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_cl1284]) ).
thf(zip_derived_cl3391,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_cl2109,zip_derived_cl1285]) ).
thf(zip_derived_cl8571,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_cl3391]) ).
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_cl8574,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_cl8571,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl39321,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_cl8574]) ).
thf(zip_derived_cl39431,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl39321]) ).
thf(zip_derived_cl44272,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_cl574,zip_derived_cl39431]) ).
thf(zip_derived_cl21686_144,plain,
aScalar0 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl21681,zip_derived_cl2242]) ).
thf(zip_derived_cl44281,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl44272,zip_derived_cl21686]) ).
thf(zip_derived_cl44282,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ X0 ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl44281]) ).
thf(zip_derived_cl44707,plain,
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ xP ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22625,zip_derived_cl44282]) ).
thf(zip_derived_cl84_145,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl44720,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl44707,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_cl44741,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_cl44720,zip_derived_cl34]) ).
thf(zip_derived_cl22143_147,plain,
( ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22126,zip_derived_cl21686]) ).
thf(zip_derived_cl21507_148,plain,
! [X0: $i] :
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21506]) ).
thf(zip_derived_cl22211,plain,
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22143,zip_derived_cl21507]) ).
thf(zip_derived_cl21852_149,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21768,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl22229,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22211,zip_derived_cl21852]) ).
thf(zip_derived_cl10_150,plain,
aScalar0 @ sz0z00,
inference(cnf,[status(esa)],[mSZeroSc]) ).
thf(zip_derived_cl44823,plain,
( ( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) )
= sz0z00 )
| ~ ( sdtlseqdt0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) @ sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl44741,zip_derived_cl22229,zip_derived_cl10]) ).
thf(zip_derived_cl33_151,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ X0 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mLERef]) ).
thf(zip_derived_cl22228_152,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22210,zip_derived_cl21852]) ).
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_cl22573,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_cl22228,zip_derived_cl29]) ).
thf(zip_derived_cl21852_154,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21768,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl2242_155,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl74]) ).
thf(zip_derived_cl22143_156,plain,
( ( smndt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22126,zip_derived_cl21686]) ).
thf(zip_derived_cl22086_157,plain,
( ( sdtasdt0 @ xP @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22054,zip_derived_cl2242,zip_derived_cl2242,zip_derived_cl11974]) ).
thf(zip_derived_cl11997_158,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ xP )
= ( sdtasdt0 @ X0 @ ( smndt0 @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11987,zip_derived_cl2242]) ).
thf(zip_derived_cl22132,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ( ( sdtasdt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) @ xP )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( smndt0 @ xP ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22086,zip_derived_cl11997]) ).
thf(zip_derived_cl21686_159,plain,
aScalar0 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl21681,zip_derived_cl2242]) ).
thf(zip_derived_cl22149,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) @ xP )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22132,zip_derived_cl21686]) ).
thf(zip_derived_cl574_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_cl22393,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_cl22149,zip_derived_cl574]) ).
thf(zip_derived_cl84_161,plain,
aScalar0 @ xP,
inference(cnf,[status(esa)],[m__1911]) ).
thf(zip_derived_cl21852_162,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl21768,zip_derived_cl84,zip_derived_cl84]) ).
thf(zip_derived_cl22421,plain,
( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22393,zip_derived_cl84,zip_derived_cl21852]) ).
thf(zip_derived_cl22603,plain,
( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( smndt0 @ ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22573,zip_derived_cl21852,zip_derived_cl2242,zip_derived_cl22143,zip_derived_cl22421]) ).
thf(zip_derived_cl22625_163,plain,
( ( sdtasdt0 @ ( sdtasdt0 @ xP @ xP ) @ xP )
= ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22595,zip_derived_cl22143,zip_derived_cl21852]) ).
thf(zip_derived_cl22707,plain,
( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22603,zip_derived_cl22625]) ).
thf(zip_derived_cl18_164,plain,
! [X0: $i] :
( ( ( sdtpldt0 @ X0 @ ( smndt0 @ X0 ) )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(cnf,[status(esa)],[mScZero]) ).
thf(zip_derived_cl22709,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_cl22707,zip_derived_cl18]) ).
thf(zip_derived_cl22229_165,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22211,zip_derived_cl21852]) ).
thf(zip_derived_cl22727,plain,
( ( sdtpldt0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl22709,zip_derived_cl22229]) ).
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_cl1142,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_cl1163,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_cl1142,zip_derived_cl10]) ).
thf(zip_derived_cl1164,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_cl1163]) ).
thf(zip_derived_cl122604,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_cl22727,zip_derived_cl1164]) ).
thf(zip_derived_cl11992_168,plain,
! [X0: $i] :
( ~ ( aScalar0 @ X0 )
| ( ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) )
= ( sdtasdt0 @ ( smndt0 @ xP ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11982,zip_derived_cl2242]) ).
thf(zip_derived_cl39431_169,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ X0 @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl39321]) ).
thf(zip_derived_cl44277,plain,
( ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ) )
| ~ ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11992,zip_derived_cl39431]) ).
thf(zip_derived_cl21686_170,plain,
aScalar0 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl21681,zip_derived_cl2242]) ).
thf(zip_derived_cl22086_171,plain,
( ( sdtasdt0 @ xP @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22054,zip_derived_cl2242,zip_derived_cl2242,zip_derived_cl11974]) ).
thf(zip_derived_cl2242_172,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl74]) ).
thf(zip_derived_cl44288,plain,
sdtlseqdt0 @ sz0z00 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl44277,zip_derived_cl21686,zip_derived_cl22086,zip_derived_cl2242]) ).
thf(zip_derived_cl22086_173,plain,
( ( sdtasdt0 @ xP @ ( smndt0 @ xP ) )
= ( smndt0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22054,zip_derived_cl2242,zip_derived_cl2242,zip_derived_cl11974]) ).
thf(zip_derived_cl21507_174,plain,
! [X0: $i] :
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( smndt0 @ X0 ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21506]) ).
thf(zip_derived_cl22133,plain,
( ( aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ) )
| ~ ( aScalar0 @ ( sdtasdt0 @ xP @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22086,zip_derived_cl21507]) ).
thf(zip_derived_cl21686_175,plain,
aScalar0 @ ( sdtasdt0 @ xP @ xP ),
inference(demod,[status(thm)],[zip_derived_cl21681,zip_derived_cl2242]) ).
thf(zip_derived_cl22150,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ ( smndt0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22133,zip_derived_cl21686]) ).
thf(zip_derived_cl22229_176,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22211,zip_derived_cl21852]) ).
thf(zip_derived_cl122641,plain,
! [X0: $i] :
( ( sdtlseqdt0 @ X0 @ sz0z00 )
| ~ ( sdtlseqdt0 @ X0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) )
| ~ ( aScalar0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl122604,zip_derived_cl44288,zip_derived_cl22150,zip_derived_cl22229]) ).
thf(zip_derived_cl123584,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_cl122641]) ).
thf(zip_derived_cl22229_177,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22211,zip_derived_cl21852]) ).
thf(zip_derived_cl22229_178,plain,
aScalar0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl22211,zip_derived_cl21852]) ).
thf(zip_derived_cl123644,plain,
sdtlseqdt0 @ ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) ) @ sz0z00,
inference(demod,[status(thm)],[zip_derived_cl123584,zip_derived_cl22229,zip_derived_cl22229]) ).
thf(zip_derived_cl124437,plain,
( ( sdtasdt0 @ xP @ ( sdtasdt0 @ xP @ xP ) )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl44823,zip_derived_cl123644]) ).
thf(zip_derived_cl11974_179,plain,
( ( smndt0 @ ( smndt0 @ xP ) )
= xP ),
inference(demod,[status(thm)],[zip_derived_cl11958,zip_derived_cl74,zip_derived_cl80,zip_derived_cl83]) ).
thf(zip_derived_cl899_180,plain,
! [X0: $i] :
( ( ( sdtasdt0 @ ( smndt0 @ X0 ) @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl898]) ).
thf(zip_derived_cl11983,plain,
( ( ( sdtasdt0 @ xP @ sz0z00 )
= sz0z00 )
| ~ ( aScalar0 @ ( smndt0 @ xP ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11974,zip_derived_cl899]) ).
thf(zip_derived_cl2242_181,plain,
aScalar0 @ ( smndt0 @ xP ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl74]) ).
thf(zip_derived_cl11993,plain,
( ( sdtasdt0 @ xP @ sz0z00 )
= sz0z00 ),
inference(demod,[status(thm)],[zip_derived_cl11983,zip_derived_cl2242]) ).
thf(zip_derived_cl124495,plain,
( ( ( sdtasdt0 @ xP @ xP )
= sz0z00 )
| ( sz0z00 != sz0z00 ) ),
inference(demod,[status(thm)],[zip_derived_cl3969,zip_derived_cl124437,zip_derived_cl11993]) ).
thf(zip_derived_cl124496,plain,
( ( sdtasdt0 @ xP @ xP )
= sz0z00 ),
inference(simplify,[status(thm)],[zip_derived_cl124495]) ).
thf(zip_derived_cl503_182,plain,
sdtlseqdt0 @ sz0z00 @ sz0z00,
inference(demod,[status(thm)],[zip_derived_cl499,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl126236,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6608,zip_derived_cl124496,zip_derived_cl503]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG057+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vpYs4rPzgN true
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 02:22:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.29/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.29/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.29/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.29/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.29/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 145.70/21.40 % Solved by fo/fo6_bce.sh.
% 145.70/21.40 % BCE start: 93
% 145.70/21.40 % BCE eliminated: 0
% 145.70/21.40 % PE start: 93
% 145.70/21.40 logic: eq
% 145.70/21.40 % PE eliminated: 1
% 145.70/21.40 % done 7447 iterations in 20.642s
% 145.70/21.40 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 145.70/21.40 % SZS output start Refutation
% See solution above
% 145.90/21.41
% 145.90/21.41
% 145.90/21.41 % Terminating...
% 146.04/21.49 % Runner terminated.
% 146.04/21.51 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------